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Scanning X-ray Microdiffraction Studies of the Molecular Architecture of Biological Tissues A Dissertation Presented by Jiliang Liu to The Department of Electrical and Computer Engineering In partial fulfillment of the requirements for the degree of Doctor of Philosophy in Electrical and Computer Engineering Northeastern University Boston, Massachusetts Aug 2015

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Page 1: Scanning x-ray microdiffraction studies of the molecular ...rx917499c/fulltext.pdf · Scanning X-ray Microdiffraction Studies of the Molecular Architecture of Biological Tissues A

Scanning X-ray Microdiffraction Studies of the Molecular Architecture of

Biological Tissues

A Dissertation Presented

by

Jiliang Liu

to

The Department of Electrical and Computer Engineering

In partial fulfillment of the requirements for the degree of

Doctor of Philosophy

in

Electrical and Computer Engineering

Northeastern University

Boston, Massachusetts

Aug 2015

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To my Family

The road to be a doctor is hard and lonely to me, especially when I try to achieve this

at foreign country. The spiritual support from my family is such essential to me for Ph.D.

period. My parents, my mother, always have strong faith on me, even at my most desperate

time. I could not image my success without their support. Thank you, mama and dad. I very

much appreciate my wife as well. She came to US and worked very hard to graduate as a

Master, she overcame all this for that we could get together. The toughest and happiest

moments of my Ph.D., we went through, will be deeply kept within my heart forever.

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Contents

List of Figures........................................................................................................................... vi

List of tables ............................................................................................................................. ix

List of Acronyms ....................................................................................................................... x

Acknowledgments .................................................................................................................... xi

Abstract of the Dissertation ...................................................................................................... xi

Chapter 1 Introduction ........................................................................................................... 1

1.1 Scanning X-ray Microdiffraction(SXMD) ...................................................................... 1

1.2 Myelin Sheath .................................................................................................................. 2

1.3 Arabidopsis ...................................................................................................................... 5

1.4 Brain tissue of from Alzheimer’s Disease (AD) Subjects ............................................... 6

Chapter 2 Experimental Procedures ...................................................................................... 7

2.1 SXMD .............................................................................................................................. 7

2.2 Neuron fibril for study of myelin sheath ......................................................................... 8

2.3 The longitudinal stem of Arabidopsis.............................................................................. 8

2.4 Brain tissues from AD patient ......................................................................................... 9

Chapter 3 Study of myelin sheath by SXMD ...................................................................... 10

3.1 Method for SXMD to study myelin ............................................................................... 10

3.1.1 Circular averaging of SXMD diffraction patterns .................................................. 10

3.1.2 Determination of periodicity of myelin sheath ....................................................... 11

3.1.3 The determination of orientation of myelin for membranes ................................... 11

3.1.4 The radiation damage of SXMD for myelin sheath ................................................ 11

3.2 Results ........................................................................................................................... 16

3.3 Discussion ...................................................................................................................... 20

3.3.1 Comparison with previous x-ray diffraction studies of nerve myelin. ................... 20

3.3.2 Deformation of myelin lamellar structure ............................................................... 21

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3.3.3 Study of structural variation of myelin sheath for fixed neuron fibers ................... 22

3.3.4 Repetition of Myelin Sheath for 1 µm beam and comparison SXMD to the TEM 22

Chapter 4 Study of molecular architecture of the plant cell wall in wild type Arabidopsis

................................................................................................................................................. 24

4.1 Method for studying on the plant cell of Arabidopsis by SXMD .................................. 26

4.1.1 X-ray Fluorescence Microscopy (XFM) ................................................................. 26

4.1.2 Fiber content calculation(Two Component Model) ................................................ 26

4.2 Results for wild type Arabidopsis.................................................................................. 29

4.2.1Anatomy of the Longitudinal Section ...................................................................... 29

4.2.2 Microfibril angle and cellulose orientation ............................................................. 33

4.2.3 Constituents of the Two Component Model ........................................................... 36

4.2.4 Ratio of Amorphous to Fibrillar cellulose .............................................................. 37

4.2.5 Wax diffraction pattern from the epidermis............................................................ 44

4.2.6 Mineral inclusions ................................................................................................... 47

4.3 Discussion ...................................................................................................................... 51

Chapter 5 Study of molecular architecture of plant cell walls in Arabidopsis harboring

mutations in lignin biosynthesis .............................................................................................. 55

5.1 Method for studying on the plant cell of Arabidopsis by SXMD .................................. 56

5.1.1 Separating oriented diffraction from patterns of SXMD and new fiber content

calculation ........................................................................................................................ 56

5.1.2 Determination of Microfibril Angle........................................................................ 59

5.1.3 Calculation of coherence length of crystallite ........................................................ 59

5.1.4 Analysis of small angle reflection........................................................................... 59

5.2 Results from lignin mutated Arabidopsis ...................................................................... 63

5.2.1 Studies of molecular architecture of 16 samples by SXMD ................................... 63

5.2.2 Oriented Fiber Content ........................................................................................... 71

5.2.3 Crystalline order in the cellulose fibrils .................................................................. 72

5.2.4 Microfibril Angle .................................................................................................... 73

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5.2.5 Axial Coherence Length ......................................................................................... 74

5.2.6 Packing of cellulose fibrils ..................................................................................... 75

5.3 Discussion ...................................................................................................................... 84

5.3.1 Mutations in the lignin biosynthetic pathway affect deposition and degradation of

cellulose ........................................................................................................................... 84

5.3.2 Mutated lignin changes the orientation of cellulose fibrils ..................................... 85

5.3.3 The regularity of cellulose fibrils varied with lignin mutants ................................. 86

5.3.4 Packing of cellulose fibrils ..................................................................................... 87

5.3.5 Molecular architecture in the stem of lignin mutants ............................................. 87

Chapter 6 Study of structural variation of Amyloid (Aβ) fibril within brain tissue of AD

subjects .................................................................................................................................... 89

6.1 Method for studying on the brain tissue by SXMD ....................................................... 89

6.1.1 Background subtraction for patterns of SXMD ...................................................... 89

6.1.2 Identification accumulation of Aβ fibril by SXMD ................................................ 90

6.1.3 The Krakty plot of small angle diffraction ............................................................. 91

6.2 Results ........................................................................................................................... 96

6.3 Discussion .................................................................................................................... 101

Chapter 7 Future of SXMD ............................................................................................... 103

Bibliography .......................................................................................................................... 105

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List of Figures

Figure 1 The beamline 23IDB (GM/CA) at the Advanced Photon Source (APS) at Argonne

National Laboratory................................................................................................................... 4

Figure 2 the calculation of intensity of circular averaging ...................................................... 13

Figure 3 The periodicity of diffraction pattern ........................................................................ 13

Figure 4 The orientation of myelin sheath stacks is normal to the corresponding reflections.14

Figure 5 The multiple stacks of myelin in the scattering volume give rise to multiple sets of

lamellar reflections. ................................................................................................................. 14

Figure 6 Test for radiation damage ......................................................................................... 15

Figure 7 Microdiffraction from single, teased fibers of myelinated axons. ............................ 18

Figure 8 Mapping of Spacing of the most intense x-ray reflection in each pattern ................ 18

Figure 9 Mapping of the principal orientations of lamellar membranes in the region of a node

of Ranvier ................................................................................................................................ 19

Figure 10 Two component model intensity fitting for each microdiffraction pattern. ............ 28

Figure 11 R-factor - a measure of the goodness of fit for each diffraction pattern. ................ 28

Figure 12 Images of a 100 μm thick longitudinal section through the Arabidopsis stem: ...... 31

Figure 13 Different parts of the stem exhibits diffraction patterns with distinct features . ..... 32

Figure 14 MFA is determined by the anlge between splitted (2 0 0) reflection of cellulose

fibrils ....................................................................................................................................... 34

Figure 15 Trend of variation of MFA across the stem of Arabidopsis .................................... 35

Figure 16 Determination of amorphous component models. .................................................. 39

Figure 17 Two component model intensity fitting for each microdiffraction pattern. ............ 40

Figure 18 Comparison of calculated and observed intensities for seven diffractions typical to

various regions of the stem. ..................................................................................................... 41

Figure 19 Distribution of amorphous and fibrillar fractions of the two component model as

determined by fitting of equatorial data as shown in Figure 18. ............................................. 42

Figure 20 Comparison of integral intensity of (0 0 4) reflection and elemental fibrils. .......... 43

Figure 21 Diffraction pattern from the epidermis exhibits sharp reflection at small angle part .

................................................................................................................................................. 45

Figure 22 Wax secretions could be determined by the power of scattering at the edge of the

stem. ........................................................................................................................................ 46

Figure 23 Diffraction patterns from Column 27-30 show mineral diffraction peak seen as

bright points at the xylem and phloem. ................................................................................... 48

Figure 24 X-ray Fluorescence micrographs of the distribution of metals in the thin section of

Arabidopsis stem. .................................................................................................................... 49

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Figure 25 Each microdiffraction pattern shown in grid was separated to oriented and

disoriented pattern ................................................................................................................... 57

Figure 26 Integral intensity of oriented component and intensity of disoriented component . 57

Figure 27 Calculation of oriented fiber content....................................................................... 58

Figure 28 Determining the MFA by identify split scattering from cellulose crystallite. ........ 61

Figure 29 Calculation of axial coherent length for (0 0 4) reflection. ..................................... 61

Figure 30 Interference calculation and model and interference between two cylinders. ........ 62

Figure 31 Fitting of small intensity distribution of mutated sample. ...................................... 62

Figure 32 Wild type sample dried 3 and 30 days after harvest. .............................................. 63

Figure 33 Aldehyde sample dried 3 and 30 days after harvest. ............................................... 64

Figure 34 Aldehyde in G sample dried 3 and 30 days after harvest. ....................................... 65

Figure 35 High G sample dried 3 and 30 days after harvest. .................................................. 66

Figure 36 High S sample dried 3 and 30 days after harvest. ................................................... 67

Figure 37 High H sample dried 3 and 30 days after harvest. ................................................. 68

Figure 38 Ferulate incorporated lignin sample dried 3 and 30 days after harvest. .................. 69

Figure 39 Low lignin sample dried 3 and 30 days after harvest.............................................. 70

Figure 40 A longitudinal section of Arabidopsis stem was studied by SXMD. ...................... 77

Figure 41 Diffraction pattern was separated into circularly symmetric and oriented fractions.

................................................................................................................................................. 77

Figure 42 Example from high S shows separation of circularly symmetric and oriented

intensities. ................................................................................................................................ 78

Figure 43 Comparison of the highest oriented fiber content observed in each sample. .......... 79

Figure 44 8 Arabidopsis variants show intensities of the strongest equatorial reflections of

cellulose I. ............................................................................................................................. 79

Figure 45 Depiction of cellulose fibrils helically wrapped around a plant cell. ...................... 80

Figure 46 Increase of microfibril angle indicates alignment of cellulose fibrils tend to

transverse from the periphery of the stem to the center .......................................................... 80

Figure 47 Samples dried fresh and after 30 days in water display different histogram of axial

coherence length. ..................................................................................................................... 81

Figure 48 Comparison of maximum coherence lengths for each of the 16 samples. .............. 82

Figure 49 Modulation of small angle scattering by interference due to packing of cellulose

fibrils was observed to be strongest in the region near the pith. ............................................. 83

Figure 50 Eliminating the scatterings from mica window ...................................................... 92

Figure 51 Scattering from brain tissue. ................................................................................... 92

Figure 52 Extraction of intensity of tissues from pattern including strong background. ........ 93

Figure 53 Intensity distributions without background for SXMD on control ......................... 93

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Figure 54 Image of scanning features from section of Alzheimer Disease sample. ............... 94

Figure 55 The Krakty plot of small angle reflection for plaques accumulated region. ........... 95

Figure 56 Background subtracted diffraction pattern. ............................................................. 98

Figure 57 Montage of integral intensity for small angle and reflection at 4.7Å. .................... 98

Figure 58 Integral intensity maps correspond to difference brain sample. ............................. 99

Figure 59 Special small angle reflections. ............................................................................. 100

Figure 60 SAXS intensity for three amyloid fibrils models. ................................................. 102

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List of tables

Table 1 Coherence Length of Wax Crystals ............................................................................ 50

Table 2 Comparison of d-spacings of Bragg peaks observed in microscanning patterns with

those expected for specific mineral inclusions. ....................................................................... 50

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List of Acronyms

AD Alzheimer’s Disease

CAA Cerebral Amyloid Angiopathy

Aβ Amyloid beta

MFA Microfibril angle

SXMD Scanning X-ray Micordiffraction

TEM Transmission Electron Microscopy

WT wild type

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Acknowledgments

I am very much appreciated for Professor Makowski’s supervising and directing of

my Ph. D. program. His enthusiasm on science and kindness to students deeply influence me

on the aspects of my research and life attitude. Cooperation with Professor Makowski is

always productive and very enjoyable. I would thank to all my colleagues from Makowksi’s

lab as well, especially, Dr. Inouye supplies much help on understanding theory of X-ray

diffraction.

I would like to thank Professor Kirschner, for his very useful suggestion on study of

myelin. Dr. Kirschner’s lab prepares the nerve fiber for SXMD study on myelin sheath. My

first SXMD analysis is basing on wonderful data from Dr. Riekel’s Lab at ESRF—ID13.

We collect significant amount of data from GM/CA at APS. Dr. Fischetti and Dr.

Venugopalan give us incredible help during data collection. Without their contribution, I

could not obtain results from SXMD. I thank very much to them and all other colleague at

GM/CA.

Arabidopsis samples were provided by Professor Chapple’s group from Purdue

University. Both wild type and lignin biosynthesis mutants exhibit affinity molecular

structural information. Their samples preparations are essential for our SXMD studies.

Therefore, I am sending my greeting to Professor Chapple and colleagues from Chapple’s

group.

I thank to Isabel Costantino for preparing brain section from Alzheimer’s subjects at

MGH.

In the end, my research was supported by the Center for Direct Catalytic Conversion

of Biomass to Biofuel (C3Bio), an Energy Frontier Research Center funded by the U.S.

department of Energy, Office of science, Basic Energy Science under Award #DE-

SC0000997.

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Abstract of the Dissertation

Scanning X-ray Micordiffraction Studies of the Molecular Architecture of

Biological Tissues

by

Jiliang Liu

Doctor of Philosophy in Electrical and Computer Engineering

Northeastern University, Aug 2015

Principle Adviser name, Dr. Lee Makowski

X-ray scattering is an important method to study atomic and molecular structures.

Here, I apply scanning x-ray micro-diffraction, a new advanced synchrotron technology, to

study the molecular structure of three tissues: 1. Myelin within the peripheral nervous system

(PNS); 2. Plant cell walls in Arabidopsis stems; 3. Protein aggregation in human brain

sections from Alzheimer's patients. A suite of custom software was developed to overcome

the challenge of processing a large amount of data collected by scanning micro diffraction

and to extract complex features from the scattering patterns of these different tissues. These

improvements in software have greatly expanded the utility scanning microdiffraction

technology for analysis of detailed information about the molecular architecture of myelin in

the nodal, paranodal, and juxtaparanodal regions; the structural heterogeneities within the

Arabidopsis stem; and pathological molecular structures that arise in Alzheimer's disease.

We anticipate significant expansion of the use of this method for studies of the molecular

architecture of intact tissues and the alteration of these structures due to wounds, specific

mutations or pathological conditions.

Keywords: Scanning Micro diffraction, Feature extraction, Data processing, Myelin sheath,

Arabidopsis, Cellulose, Amyloid, Fibril, Molecular structure

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Chapter 1

Introduction

The development of scanning x-ray microdiffraction at synchrotron facilities has

opened the possibility of investigating structural variations within the tissues at μm to sub-μm

level resolutions. Compared to traditional x-ray scattering methods that use millimeter-sized

x-ray beams and average scattering from all material within samples, scanning x-ray

microdiffraction provides extensive information on the order and characteristics of

crystallized and non-crystallized material. Fratzl et al., 1997 (Fratzl, 1997); Riekel et al.,

1997 (Riekel, 1997) and Lichtenegger et al., 1999 (Lichtenegger, 1999) studied cellulose

structure in hard wood cell wall and human bone at the European Synchrotron Radiation

Facility (ESRF). The hardware used in our studies was developed for use by protein

crystallographers to identify well-ordered regions of poorly diffracting crystals. The

structure of G-protein-coupled receptors (GPCRs), contributing to the award of a Nobel prize,

was solved through the use of micro-diffraction applied to micro-crystals at sector 23

(GM/CA CAT) at the Advanced Photon Source (APS) (Rasmussen, 2007) where our data

collection was carried out.

Scanning biological tissues with micro-beams will produce thousands of times the

data with rich biological molecular structure information, compared with traditional methods.

It is not unusual for a scanning microdiffraction data set to exceed 10 GB, or, depending on

the sample and the specific questions asked, over 100 GB. To generate this information

requires automatic data capture and data analysis methods. The development of computation

methods combines traditional X-ray methodology and modern image processing algorithms.

Therefore, my Ph.D. project focuses on developing the unique custom software to

automatically extract information about molecular features at the nanoscale from scanning

microdiffraction data.

1.1 Scanning X-ray Microdiffraction(SXMD)

Many biological macro molecules, such as GPCRs, crystallize very poorly and well-

ordered domains of these crystals are often limited to no more than 5-10 μm in size. To study

the structure of these micro-crystals, the development of micro beams was required.

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Currently, the most advanced synchrotron facilities, such as APS (Chicago, U.S.), ESRF

(Grenoble, France), and Spring-8 (Hyogo Prefecture, Japan) have beam lines capable of

producing micro-beams from 0.5-5 μm in diameter. The diffraction signals from micro-

crystals are highly enhanced by the micro-beam with the reduction of background scattering

from solvent and sample support. (Smith, 2012). Interests in membrane proteins such as

GPCRs have driven the development of microbeam facilities, greatly enhancing their study.

Use of microbeams for scanning x-ray microdiffraction has benefited greatly from these

advances.

Furthermore, the micro-beam opens the possibility of study of molecular structure

within real tissues. Conventional X-ray diffraction provides insight only into the averaged

molecular structure over scattering volumes hundreds or thousands of cubic μm in size. The

averaging implicit in the use of large scattering volumes in heterogeneous materials precludes

collection of data on crucial detailed architecture relevant to function or dysfunction of these

molecules. However, by scanning the real tissues with a micro beam, we revealed spatially-

dependent variations. For instance, a 1 μm beam, originated from beam line ID13 at ESRF,

enabled the study of structural variations of myelin sheath at specialized regions known as

the internode, juxtaparanode and node of Ranvier. Through data collection utilizing a 5 m

beam at GM/CA 23IDB at the APS, we uncovered tissue-specific molecular architecture in

the stem of Arabidopsis and studied the impact of mutations in lignin biosynthesis on the

structures of these tissues. Finally, we used the 5 μm beam scanning to carry out preliminary

studies of structural variations of fibrils of Aβ within plaques in tissue from subjects with

Alzheimer's Disease (AD). Figure 1 shows GM/CA at APS.

1.2 Myelin Sheath

Transmission of electrical signals along a nerve axon is greatly accelerated by the

presence of an insulating myelin sheath that is interrupted periodically with gaps for

electrical transmission. The structure of myelin sheath provides important clues to the

molecular basis of electrical transmission by the axon. The structure of myelin sheath in the

intermodal region had been studied for decades. Caspar and Kirschner, (Caspar and

Kirschner, 1971) determined the electron density map of the double-membrane structure of

the myelin sheath, calculated corresponding structure factor and interpreted their results in

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terms of the known molecular constituents of myelin. Inouye et al., (1999) solved the P0

protein assembly in myelin membrane by X-ray diffraction.

However, the structure of the conducting gaps, known as the nodes of Ranvier,

remained poorly characterized (Poccia et al., 2013). Because of their small 4-5 m size,

conventional X-ray techniques were unable to address their structure. The electrochemical

properties of the system has not been completely elucidated in the absence of knowledge of

structural changes in the region of the nodes. Here we used a 1 μm beam, raster-scanned

across a single nerve fiber to extract detailed information about the structure of the nodes of

Ranvier and that of myelin in the vicinity of the nodes. Data from scanning microdiffraction

was used to determine the orientation of the lamellar membrane stack of the myelin assembly

and the membrane periodicity of myelin as it varied spatially in the nodal, paranodal, and

juxtaparanodal regions.

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Figure 1 The beamline 23IDB (GM/CA) at the Advanced Photon Source (APS) at Argonne National

Laboratory.

The left figure is an aerial view of the synchrotron facilities (APS.ANL.GOV). The upper-right figure

shows the goniometer and sample holding arrangements at beamline 23IDB. The lower right figure shows

the enjoyable time of collecting data at GM/CA.

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1.3 Arabidopsis

Plant cells have diameters of 10-40 m and can have lengths of the order of a

millimeter. The molecular architectures of plant cell walls are highly heterogeneous at

multiple scale levels. The structural inhomogeneity of plant cell walls are caused by the

variations in composition of plant cells. For decades, studies of plant cells revealed that three

main component of plant cell walls are high molecular weight polysaccharides, highly

glycosylated proteins and lignin. (Fraser, 2011) Cellulose fibrils, one of the most important

polysaccharide components, are essential elements for the scaffold of the cell wall. The

average structure of individual cellulose fibrils has been well studied by traditional X-ray

fiber diffraction methods. However, the relationship of function-structure of plant cell wall

remains obscure without detailed molecular information, especially about the diversity of

organization of cellulose fibrils. SXMD provides the possibility of re-investigating the

structural variation of cellulose within tissues at μm-level resolution. Riekel et al., (Riekel,

2001) applied this technique to wood in order to characterize the helical organization of

cellulose fibrils around plant cells. Here, we expand this approach for analysis of the

structural heterogeneities within the Arabidopsis stem. A raster made of 5 columns including

38 images each was collected from an Arabidopsis stem. The raster of diffraction patterns

distinguishes the five specific tissues arranged radially from the pith in the center, to the

epidermis at the periphery. The vascular tissues, xylem and phloem and cortex are set

between the pith and epidermis. X-ray fluorescence and scanning micro-beam also enable us

to study composites of mineral and wax present in the stem.

Furthermore, we reveal the interdependence among the synthesis and assembly of

difference polymeric species by comparison of plant cell wall of wild type (WT) and mutated

Arabidopsis. The analysis of SXMD of wild type and mutated Arabidopsis exhibits

significant structural changes of crystallized and non-crystallized material. The results also

suggest that some variants undergo an accelerated, time-dependent degradation of cellulosic

organization only modestly present in WT plants.

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1.4 Brain tissue of from Alzheimer’s Disease (AD) Subjects

Finally, we carried out preliminary investigation on neural lesions associated with

Alzheimer’s Disease by SXMD. Alzheimer’s Disease (AD) is the only cause of death in the

top 10 in America that cannot be prevented, cured or slowed. It currently costs roughly $226

billion for treatments, and in an aging society, the costs are expected to increase dramatically

in the coming decades. It draws huge social attention (Alzheimer's Association, 2015) . We

applied micro-diffraction technology to scan pathological protein deposits in human brain

from anatomy material of subjects with Alzheimer's Disease. The goal is to elucidate the

molecular architecture of these deposits.

Amyloid plaque structure has been studied by X-ray scattering for decades. Eanes

and Glenner (Eanes and Glenner, 1968) studied the Aβ fibrils by X-ray diffraction and

indicated a cross-β conformation in fiber direction on the basis of strong reflections at

spacings of 4.7 Å and 10 Å Kirschner et al., (1986) reported purified samples from

Alziheimer’s subjects exhibit a sharp reflection at 4.7 Å and a diffuse one at about 10Å.

Recently, Tycko et al 2005 suggested that a single nucleation site may provide the seed for

formation of amyloid fibrils that propagate throughout the brain as the disease progresses.

Understanding the structural variation of amyloid fibrils in different parts of the brain will

provide evidence relevant to this hypothesis and important clues as to the mechanism of

aggregation of Aβ (Lu et al., 2013) .

With SXMD, we studied x-ray scattering from 18 μm thick sections of brain tissues

using a 5 μm beam and scanning with a 5 μm step size. The results of brain experiment

indicate the organization of pathological protein deposits at the margins of gray matter and

around the vasculature in Cerebral Amyloid Angiopathy (CAA). Krakty plots of small angle

region of SXMD indicates the presence of variations in the fibril structures of Aβ for both

healthy elderly people and AD subjects.

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Chapter 2

Experimental Procedures

We applied SXMD to study molecular structure of three complex tissues: 1.

Peripheral Nervous System (PNS) myelin; 2. Plant cell walls from the stems of Arabidopsis;

3. Sections of human brain tissue from AD subjects and 'healthy' controls. By identifying the

‘fingerprint’ reflections of known constituents, like myelin membranes; cellulose fibrils and

amyloid fibrils, we observed the molecular structural variation within μm scale of these

tissues.

We have collaborated with scientists at two of the most advanced beamlines around

the world, ESRF-ID13 and 23IDB at APS. ESRF-ID13 provides 1μm beam enabling us to

scan single myelinated nerve axons. 23IDB at APS can deliver a 5 μm diameter x-ray beam,

that we have used to scan stems from Arabidopsis and human brain tissue sections. Details

of the experimental setup of SXMD and sample preparation of biological tissues are

discussed below.

2.1 SXMD

SXMD on myelin was performed at the ESRF-ID13 beamline. A monochromatic

beam was focused to a spot 1 µm full-width at half-maximum. The diffraction pattern was

recorded using a CCD detector. A single image frame contained 1024x1024 pixels with a

158 µm pixel size. The specimen-to-detector distance was 203.9 mm which was calibrated by

the Bragg reflections of silver behenate powder indexed by the fundamental period of 53.38

Å.

Micro-scanning experiments for Arabidopsis and brain sections were conducted at

23IDB beamline at the APS. The beam size was 5 μm, the wavelength of beam is 1.033 Å.

For scattering from wild type Arabidopsis we collected diffraction pattern images with

2048x2048 pixels and pixel size of 72 Å. The specimen-to-detector distance was 300 mm.

For scanning of lignin-mutated Arabidopsis and brain sections we binned pixel data to

produce diffraction pattern images with 1024x1024 pixels with a 144 µm pixel size. Features

of the diffraction patterns were not sufficiently sharp to warrant the smaller pixel size - no

information was lost in the binning. The specimen –to-detector distance was 416 mm.

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2.2 Neuron fibril for study of myelin sheath

Myelin samples were prepared by Dr. Kirschner lab. Briefly, sciatic nerves were

dissected from mice that had been euthanized using CO2 inhalation followed by cervical

dislocation. Under a dissecting microscope, single fibers from mouse sciatic nerves that had

been fixed for 10-30 min in 2% paraformaladehyde-2.5 % glutaraldehyde (in 0.12 M

phosphate-buffered saline, at pH 7.4) were teased apart with very fine forceps after removal

of the perineurium using a 26-gauge, stainless-steel needle. The fibers with a small volume of

adhering solution were then aspirated into 0.7 mm-diameter x-ray capillaries, and sealed with

wax and fingernail polish enamel.

x-ray microdiffraction from myelin sheath was performed at the ESRF-ID13

beamline by Kirschner, Riekel and Burghammer. Inouye and Liu analyzed the collected data.

2.3 The longitudinal stem of Arabidopsis

Arabidopsis thaliana (Col-0 ecotype) plants were grown in a potting mix (Redi-

Earth; Scotts, http://www.scottspro.com) by the Chapple laboratory at Purdue University.

Primary inflorescence stems were harvested from six-week-old plants. Transverse and

longitudinal sections of the tissue were dried and cut into 100 µm thick sections using a

microtome. These sections were shipped to Northeastern University for mounting for x-ray

scattering experiments.

We further studied stems from seven variants of Arabidopsis thaliana with

engineered defects in lignin biosynthesis. These mutations were High G (C4H:F5H fah1),

High S (C4H:F5H), low lignin (ref3-2), ferulate incorporate lignin (ccr1), High H

(ref8ref4rfr1), Aldehyde (cad-c cad-d) and Aldehyde of G (cad-c cad-d fah1). These

mutations will affect the biosynthesis of lignin by suppression or enhancement of the

expression of G, S and H lignin units.(Meyer et al 1996, Turner et al 1997, Meyer et al 1998,

Goujon et al 2003, Sibout et al 2005, Schilmiller et al. and 2009, Bonawitz et al 2014)

Arabidopsis samples were cultured by Dr. Joanne C Cusumano and Dr. Jeong Im

Kim from Professor Clint Chapple’s lab. x-ray Microdiffraction was performed at GM/CA

CAT, APS-23IDB by Jiliang Liu and Lee Makowski with the assistance of Dr. Nargarajan

Venugopalan and Dr. Robert F. Fischetti.

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2.4 Brain tissues from AD patient

Human brain harboring pathological protein deposits was identified and sectioned by

Isabel Constantino of Massachusetts General Hospital (MGH). The brain was fixed in

formaldehyde and embedded within paraffin for cutting into 18 μm thick sections by

microtome. The sections were heated to melt and remove paraffin and then washed by xylene,

ethanol and water to remove any residual paraffin. X-ray Microdiffraction was performed

by Jiliang Liu and Lee Makowski with the assistance of Dr. Nargarajan Venugopalan and Dr.

Robert F. Fischetti at GM/CA CAT, APS-ID23.

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Chapter 3

Study of myelin sheath by SXMD

Myelin sheaths wrapping up axon gave rise to stacks of membrane with one

dimensional lamella structure. Caspar and Kirschner (Caspar and Kirschner, 1971)

determined the electron density map of the double membrane structure of myelin sheath,

calculated corresponding structure factors and interpreted their results in terms of the known

molecular constituents of myelin. Because of large x-ray beam size used in conventional x-

ray studies, the molecular architecture of the node of Ranvier with diameter of 4-5 μm had

not been studied using x-rays. This prevents complete elucidation of the electrochemical

properties of the system. Here we used a μm-sized beam, raster-scanned across a single nerve

fiber to collect diffraction data from the various regions around the nodes. From these

patterns, we extracted the essential structural information about the organization of

membranes in the nodal, paranodal, and juxtaparanodal regions including orientation and

membrane periodicity and electron density profiles.

3.1 Method for SXMD to study myelin

SXMD produces thousands of diffraction patterns that contain abundant structural

information. The size of SXMD data sets demands development of software to automatically

extract the essential structure information, such as periodicity and orientation of myelin

sheath. This section describes the custom algorithm that was developed and designed to

extract these features from the SXMD diffraction patterns.

3.1.1 Circular averaging of SXMD diffraction patterns

To calculate the intensity distribution of circular averaged patterns, we transform

index of pixels of patterns into polar coordinate systems with center information provided by

beamline. Then every pixel could be assigned to a coordinate including a radius to center and

an azimuthal angle to horizontal. We accumulate the intensities of pixels with same radius.

Then the circularly averaged intensity is determined by summing the intensities and dividing

by the number of pixels with corresponded radius. Figure 2 shows the center of pattern and

the determination of radius to calculate the circular averaged intensity.

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D-spacing is the inverse of reciprocal spacing, 1/d. The calculation of reciprocal

coordinate is that: , θ is the Bragg angle, λ is the wavelength of X-ray.

(Guinier, 1994)

3.1.2 Determination of periodicity of myelin sheath

The repeat period of myelin sheath corresponds to the center-to-center distance of

lamellar membrane-pairs in the myelin sheath. Periodicity of myelin was determined by the

D-spacing of lamellar reflections at small angles. As shown in Figure 3, the reflections of

2nd-4th Bragg order for myelin could be well fit by three Gaussian functions after background

subtraction. D-spacing of each order is the D-spacing of the best position of its fitting

Gaussian curve. The D-spacing of each order should be the periodicity divided by the order.

The optimum estimate of repeat period was taken as the mean of the periodicity calculated

from the three observed reflections.

3.1.3 The determination of orientation of myelin for membranes

The stack of myelin membranes produces a series of Friedel reflections in the small

angle region. Figure 4 shows that the orientation of myelin lamella is normal to these

reflections. Therefore, we could determine the orientation of myelin lamella by identifying

the azimuthal angle of reflections. The calculation of orientation was complex at the

paranode and node region, as shown in Figure 5, due to the presence of multiple pairs of

Friedel reflections, indicating multiple stacks of myelin lamella in these regions. The

intensity distribution as a function of azimuthal angle was calculated by averaging the

intensity over a range of scattering angles (radii) ΔR. The positions of peaks in the intensity

distribution correspond to the azimuthal angle of reflections. The orientation of myelin

lamella was calculated as the angle half-way between the two corresponding peak positions.

3.1.4 The radiation damage of SXMD for myelin sheath

Synchrotron facilities provide high energy X-rays, capable of inducing significant

radiation damage to biological tissue samples. For our experiments on fixed myelin sheath at

ID13 at ESRF we used an exposure time of 500 msec. This was chosen after experiments to

determine the exposure time at which radiation resulted in negligible damage to tissue. To

determine the radiation damage to real sample, a single position in the sample was exposed

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for a series of 200 msec exposure. Intensity of the 2nd-4th order myelin reflections were

monitored and no reduction in intensity was detected for exposures of less than 500 msec

(Figure 6). Even after 2 sec of exposure, little or no reduction of intensity was detected in

the 2nd-4th order of reflections.

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Figure 2 Calculation of intensity of circular averaging

The left figure is a typical x-ray pattern from scanning microdiffraction, the right figure shows the intensity

distribution after calculation of circular averaging.

Figure 3 Periodicity of diffraction pattern

From the plot of circularly averaged intensity vs scattering angle the positions of the strong 2nd-4th

order lamellar reflections were used to calculate the periodicity of myelin lamellar. The peaks of plot

are related to 2nd

(blue), 3rd

(green) and 4th

(red) reflections. The lower-right image is the

enlargement of the lower-left image for x-axis range from 0 -75 pixel.

r

0 100 200 300 400 500 6000

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Figure 4 Orientation of myelin sheath stacks is normal to the corresponding reflections.

Figure 5 Multiple stacks of myelin in the scattering volume give rise to multiple sets of lamellar

reflections.

The left figure indicates the two different reflection sets. The right figure shows azimuthal distribution of

intensity. The red and yellow arrows correspond to the reflections within red and yellow pi shapes.

0 50 100 150 200 250 300 350 40010

20

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angle(degree)

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image mesh4 0480(2rd order)

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Figure 6 Test for radiation damage (A) The small-angle region recorded for 200 msec per pattern at a single position along the nerve. (B)

Radial-averaged intensity for the sequentially-recorded patterns. The total time for the 10 patterns was 2.0

sec. The spectra show small variations of intensity, but no overall decrease in intensity, which indicates

little or no structure degradation due to radiation damage.

A

B

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3.2 Results

Inouye et al, 2014 reported the structural variation at nodal, paranodal, and

juxtaparanodal regions as determined by SXMD. Figure 7A provides a mapping of lamellar

orientations in region scanned. Figure 7B is an optical micrograph of the same region and

Figure 7C is a larger region containing the area scanned.

The mapping of D-spacings enabled us to identify the variation of periodicity of

myelin sheaths across the grid. The D-spacing of the reflections exhibiting the highest

intensity was mapped onto a grid that correlated to the scanning positions for SXMD (Figure

8). The clusters of the D-spacing for patterns of SXMD was shown in histograms of

integrated intensities of identified Bragg reflections (Figure 8). As Figure 8B, C shows,

four principal clusters of D-spacing were identified. They were exhibited by four different

gray levels corresponding to d > 80 Å (black), 60 < d < 80 Å (dark gray), 45 < d < 60 Å (light

gray), and d < 45 Å (white) within the mapped grid (Figure 8A). These four clusters

corresponded to morphologically distinguishable regions of the nerve fibers. The paranodal-

nodal region was dominated by patterns with maxima in the range 45<d<60 Å, corresponding

to the 4th order of x-ray scatter from the myelin lamellae. Internodal regions were dominated

by scattering that had the greatest intensity in the range 60<d<80 Å, typically the 3rd order

lamellar reflection, which suggests that the molecular organization of the multilamellar

myelin in the internodal regions was different from that of the paranodal-nodal region.

Finally, regions that had a maximum intensity at d>80 Å were most often in the central

portion of the fiber (corresponding to face-on scattering, detailed below). This scattering is

most likely associated with the lateral organization of proteins in the plane of the membrane,

but could also be associated with the 2nd-order reflection of lamellar scattering from stacks of

myelin membranes.

The distribution of the orientation of the principal lamellar reflections for two

different raster scans, one from a single fiber and the other from the overlapping fibers (left

and right panels, respectively), mapped onto the grids as shown in Figure 9. The single lines

of Figure 9 correspond to the orientation normal to the Friedel pair reflections of each

diffraction pattern. These lines are parallel to the membrane planes and show how the

membrane wrapping shifts from being directed around the long axis of the fiber in the

internodal region to being perpendicular to the fiber at the node of Ranvier. Moreover, as

discussed below, some diffraction patterns exhibited multiple sets of lamellar reflections at

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different angles about the center of the diffraction patterns, indicating the presence of two (or

more) lamellar stacks of membranes rotated relative to one another.

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Figure 7 Microdiffraction from single, teased fibers of myelinated axons.

(A) Montage of the small-angle portions of diffraction patterns from a raster scan of a pair of teased nerve

fibers. The vertically-oriented nerve has a node of Ranvier slightly above its crossing with the horizontally

oriented nerve. Individual frames in (A), circled and numbered, were chosen for detailed analyses described

below. (B) Optical micrograph of the same field of view as the montage. (C) A larger field of view of the

nerve fibers.

Figure 8 Mapping of Spacing of the most intense x-ray reflection in each pattern

Mapping of spacing d (A-C) for the x-ray reflection having the greatest intensity in each diffraction pattern

of the raster-scan. (A) Map of positions with greatest intensity in three different ranges of scattering angle

as indicated by gray level. (B) Scatter plot of the different spacing as a function of sequential image number

indicating the most common scattering angles of intensity maxima. (C) Histogram of the data shown in (B).

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Figure 9 Mapping of the principal orientations of lamellar membranes in the region of a node of

Ranvier

Mapping of the principal orientations of lamellar membranes in the region of a node of Ranvier (arrows)

for a single myelinated nerve (left) and a pair overlapping fibers (right). The vast majority of reflections in

the internode correspond to membranes oriented parallel to the long axis of the fiber. In the vicinity of the

node of Ranvier the lamellar stacks curl around and become more nearly perpendicular to the axis of the

nerve fiber (arrows). In the diagram on the right, where two distinct orientations were apparent in the

diffraction pattern, the orientations of both sets of lamellar reflections are shown by long red (stronger) and

short blue lines (weaker), respectively.

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3.3 Discussion

3.3.1 Comparison with previous x-ray diffraction studies of nerve myelin.

The nerve myelin sheath has been studied for decades. Solving molecular architecture

of nerve myelin sheath by X-ray scattering has led to an elucidation of the distribution of

protein and lipid in the membranes and the role of those components in myelin assembly,

stability, and function (Caspar and Kirschner, 1971; Kirschner, 1992) However, because the

size of a single nerve fiber is typically 10–30 µm in the PNS, and the axial sizes of the node,

paranode, and juxtaparanode regions are 1 µm, 5 µm, and 10 µm, respectively (Arroyo,

1999), studies using conventional x-ray beams that are 100 m in diameter resulted is

observed diffraction that was dominated by the abundant, compact myelin arrays in the

internodal segments, but was in fact, a sum of scattering from different regions of the myelin

(Blaurock, 1966; Kirschner, 1984). Recently, the improvement of synchrotron facilities have

produced X-ray beams with µm, and even nm dimensions. In order to study the heterogeneity

of myelin structure, we applied 1 µm beam size produced by ESRF ID13 for study of the

molecular architecture of the myelin sheath in and bordering the internode.

Myelin (from sciatic nerve (PNS) and brain (CNS)) both freeze-dried (Ducic, 2011)

and fixed in formalin (De Felici, 2008; Yagi, 2009) has been studied previously by

synchrotron diffraction. Dehydration for freeze-drying of samples separates the membranes

into lipid-rich and protein-rich domains having different periodicities (Hollingshead et al,

1981), precluding the study of structural heterogeneities. Therefore, to obtain the regional

diversity of molecular architecture within the myelinated nerves we prepared glutaraldehyde-

fixed samples which cross-links molecules that are in proximity to one another, preventing

phase separation (Hirano, 1982).

Glutaraldehyde-fixed mouse sciatic nerves are slightly altered in structure due to

fixation. A slightly larger period of 178 Å compared to the native 176 Å was reported in

previous study by conventional X-ray ((Kirschner and Hollingshead, 1980). The electron

density distribution shows that the cytoplasmic membrane separation for the glutaraldehyde

treated myelin is smaller than that for the control, while the extracellular separation is larger.

Further, the electron density level at the cytoplasmic space is higher than at the extracellular

surface, suggesting that the glutaraldehyde crosslinks the abundant lysine and arginine

residues (Salem, 2010) in myelin basic protein (MBP). Our analysis of SXMD data indicated

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a repeat period of 198 Å to 202 Å, larger by 22 to 26 Å, than that for fresh myelin. As shown

in electron density profile, while a cytoplasmic separation (34 Å) for extracellular of myelin

was similar to that of fresh myelin (32 Å), fixed samples exhibit significant larger

cytoplasmic separation,~48 Å, and intermembrane separation, ~41 Å. The changes in the

widths of the cytoplasmic appositions strongly indicate that packing of membranes varied in

the internodal region.

The study of SXMD shows that glutaraldehyde fixed samples have a larger

extracellular separation than fresh myelin (i.e., 60 Å for #11 and #18, and 53 Å for #42,

(positions marked in Figure 7A), compared to 48 Å for fresh myelin). Previous study of

glutaraldehyde-fixed myelin (Kirschner and Hollingshead, 1980) reported swelling at the

extracellular apposition as well, but not to the extent observed here. The absence in the teased

single fibers of the mechanical constraint provided by collagen (Rand, 1979) may give rise to

the greater extracellular swellings.

3.3.2 Deformation of myelin lamellar structure

Within the internodal region we commonly observed two or more distinct lamellar

domains with different orientations. The geometric features of wrapping of membrane stacks

around the axon gave rise to the most intense set of lamellar reflections. The weaker sets of

lamellar reflections correspond to a smaller population of membranes stacked at an angle—

usually close to 90o—to the dominant membrane packing direction. These weaker reflections,

which were observed in many of the en face diffraction patterns, may come from lamellar

layers deformed at Schmidt-Lanterman incisures (Mugnaini, 1977; MacKenzie, 1984).

Interestingly, we observed different intensity distribution for these two sets of lamellar

reflections in same diffraction patterns. This implied that the packing of layers at the

Schmidt-Lanterman incisures maybe different to the principal membrane within internodal

region. A highly localized tilting of the membrane stacking causes local deformation as well,

the deformations lead to the unequal intensity of centrosymmetrically-related reflections

(Friedel’s pairs), as shown in the vertically-oriented patterns #42, 449, 481, 635, and 637 in

Figure 7A.

In the center of the nerve fibers, many patterns contain two orthogonal sets of

reflections. Because the membrane planes of center region is normal to the incident beam,

lamellar stacks of membranes scatter from unexpected angles as described above, which

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produces weaker reflections. The dominant scattering in these patterns can be accounted for

by membrane proteins arranged within the plane of the membrane. Electron microscopy

reveals that the continuous, small pocket of cytoplasm that defines the spiraling Schmidt-

Lanterman incisures results in a swelling deformation of the neighboring cytoplasmic space

(see review (Trapp and Kidd, 2004)); however, the SXMD observations suggests a more

complex geometry of the deformed myelin layers. Analyzing the orientation and positioning

of the reflections recorded in the current study using an even smaller x-ray beam—e.g., 0.5

m—may enable a more accurate three-dimensional reconstruction of incisures.

3.3.3 Study of structural variation of myelin sheath for fixed neuron fibers

The richness of information provided by scanning x-ray microdiffraction and the

details of molecular organization that this information illuminates suggests that similar

approaches using fresh nerve tissue will provide powerful new strategies for understanding

the underlying molecular foundation of a broad spectrum of myelinopathies. The studies of

myelin sheath membrane by SXMD indicate orientation of the lamellar membrane stacks and

membrane periodicity varied spatially. In the juxtaparanode-internode, 198-202 Å-period

membrane arrays oriented normal to the nerve fiber axis predominated, whereas in the

paranode-node, 205-208 Å-period arrays oriented along the fiber direction predominated. In

parts of the sheath distal to the node, multiple sets of lamellar reflections were observed at

angles to one another, suggesting that the myelin multilayers are deformed at the Schmidt-

Lanterman incisures. The significant increase in lateral resolution in mesh scans will allow a

more precise differentiation and identification of neighboring domain structures, not only in

myelinated fibers but also in other biological tissues and non-biological materials (Schroer,

2008)

3.3.4 Repetition of Myelin Sheath for 1 µm beam and comparison SXMD to the TEM

Because the periodicity of myelin sheath is around 200 Å, a 1 µm x-ray beam could

involve ~50 myelin sheath for scattering. Scanning nerve fibers with a 1 µm beam could

generate structural information with enough repetition of myelin sheath. Electron

microscopy (EM) studies show that the length of nodal and paranodel region are 3 µm and 13

µm. A 1 µm beam enables us to studiy the structural variation at these places. EM image of

myelin sheath indicated that membrane curls over at node of Ranvier region and is

consistence with our observation of orientation changes of myelin sheath at the nodal region.

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The swolling of myelin ic quantitated by the increases of periodicity at node and paranodal

region observed here.

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Chapter 4

Study of molecular architecture of the plant cell wall in wild

type Arabidopsis

There are more than 200 tons of biomass produced annually in the US, providing the

potential to prtially addressenergy needs by converting biomass to biofuel. However, the

digestibility of the plant cell wall, which is essential for biofuel production, is hindered by

rigid molecular structures. In order to break down this structure, we need to fully understand

its molecular architecture. SXMD was applied to study of the stems of Arabidopsis, a

commonly studied plant with complete genomic sequence available, to understand the

structural variation in real tissues and the interdependence of biosynthesis and assembly of

distinct constituents.

Here we use SXMD with μm size beam studing the five tissues of Arabidopsis stem

individually - pith, xylem, phloem, cortex and epidermis. These distinct tissues contain

corresponding cell types. As the stem matures, cellulose fibrils within the cell walls are

broken down to form amorphous components. These structural changes lead to hollowing of

stem and the expansion of cell wall in pith. The dense xylem cells constitute vascular tissues

for water and nutrient transport to support plant growth and survival. A solid layer of

relatively small cells encompass the phloem from the cortex, which is essential for stiffness

of the stem. The epidermis is coated by a wax-rich surface layer for protection of the plant.

We studied the physical variation of cell wall caused by cellulose organization or orientation

within these tissues at the sub-cellular level by SXMD.

Longitudinal sections of wild type Arabidopsis were prepared for the position-

resolved measurement of the local fibril orientation and organization by SXMD. X-ray

diffraction patterns of a 100 μm thick section were measured every 5 μm to map a region of

190 x 25 μm, spanning from the center of a stem to its periphery. We observed distinctly

different diffraction patterns in the interior, central and exterior regions of the stem. Based

on microbeam techniques, we identified the variation in abundance of crystalline and

amorphous cellulose; the number of cellulose chains per fibril; and the alternation of local

fibril orientation across cells. Diffraction analysis of the location and nature of mineral

inclusions was supplemented with x-ray fluorescence microscopy. The main structures of

plant wax in the epidermis were determined by analysis of the small- and wide-angle

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scattering in the outer layer of the stem. From this work we constructed a comprehensive

analysis of the molecular architecture within the plant cell walls of the constituent tissues of

the Arabidopsis stem.

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4.1 Method for studying on the plant cell of Arabidopsis by SXMD

4.1.1 X-ray Fluorescence Microscopy (XFM)

X-ray fluorescence is a very sensitive probe of elemental content of many metals, and

x-ray fluorescence microscopy (XFM) can provide information on deposition of mineral

elements within cell wall. We are able to identify and estimate the possible mineral by

combining the analysis of XFM and SXMD. Scanning x-ray absorption microscopy and x-

ray fluorescence microscopy (Paunesku T., 2006) were carried out on the samples to obtain

images of the subcellular architecture of the plant cell walls to provide corroborating

information on the distribution of minerals in the samples. Facilities at beamline 2ID-E at

the Advanced Photon Source (APS) were used to collect images in both stepping and fly scan

mode. The undulator x-ray beam of the APS was monochromated by using a double crystal

monochromator and a zone plate objective focused the x-rays onto the specimen. An order

sorting aperture was used to reject unfocused x-rays to reduce background. The sample was

raster scanned through the focal spot, and at each scan position, illuminated with x-rays.

Incident x-rays excite photo electrons resulting in vacancies in the inner shells of atoms that

are filled by outer shell electrons, either through an Auger or fluorescence process where the

excess energy is carried away by a photon. The fluorescence derived photons are detected by

an energy dispersive detector. By measuring the amount of electron hole pairs generated by

each photon, the chemical element from which it originated can be deduced. Since the

number of detected fluorescence photons is linear with the quantity of material present in the

illuminated spot, the amount can be quantified through use of elemental standards. Typically,

10 or more elements were quantitated simultaneously at each scan position. Images were

analyzed using the software package — MAPS (Vogt, 2003).

4.1.2 Fiber content calculation (Two Component Model)

The structure of cellulose Iβ had been solved by Nishiyama et al. 2002, and is widely

believed as the primary component of cellulose crystallite within the real plant cell wall

(Nishiyama Y., 2002). We evaluated a series of models of fibrils and sub-fibrillar aggregates

of cellulose that they were constructed using 1 to 36 Iβ cellulose chains. Equatorial scattering

for these aggregates was calculated using the cylindrical analog of the Debye formula

(Guinier A., 1994);

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<I(1/d)> = jk fj(1/d)fk(1/d) Jo(2rjk1/d) 1

where <I(1/d)> is the cylindrically averaged equatorial intensity, 1/d is the radial component

of the reciprocal cylindrical coordinates, fj(1/d), the scattering factor of the jth atom, J0

corresponds to the zero order Bessel function and rjk the axially projected distance between

the jth and kth atoms. The sums are over all atoms in the axial repeat of the fibril. Following

other investigators (Fernandes, 2011; Thomas, 2013) we adjusted the a-axis of cellulose Iβ

crystal to fit the observed data. In this case, the changes of lattice of Iβ increase the lattice

constant along the a-axis from 7.78 Å to 8.09 Å.

The equatorial scatter was modeled as a two component system consisting of

amorphous and fibrillar forms of cellulose. Intensity was calculated as:

IModel = A·Ielementary fibrils + B · Iamorphous components 2

The intensities of two component — amorphous and fibrillar forms of cellulose were

determined by extensive modeling to identify those model components that most accurately

fit the observed scattering from specific tissues containing both amorphous and fibrillar

cellulose. A specific molecular model for the amorphous constituents was chosen on the

basis of comparison with scattering from pith where the amorphous scattering dominated;

fibrillar components were chosen to fit crystalline reflections observed in scattering from

vascular tissues where scattering from crystalline components was strongest. The amorphous

material is highly heterogeneous and includes amorphous cellulose; hemicellulose and other

non-cellulosic materials. The constituents giving rise to the amorphous scattering should not

be ignored. However, for convenience of comprehensive analysis at this study, we applied a

surrogate for this complex mixture — a single molecular model that closely fit the

amorphous scattering from the pith region. This, in turn, provided a basis for estimating the

ratio of amorphous to crystalline material within the various parts of the stem without bias as

to the identity of the amorphous materials. For each diffraction pattern, the constants of

proportionality, A and B were determined by a least-squares fit to the data. The sum of A and

B is equal to 1, subject to the linear combination feature of the fitting method.

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Figure 10 Two component model intensity fitting for each microdiffraction pattern. (a) Intensity

calculated from elementry fibrils (blue) and amorphous component, which was simulated by a six

cellulose chains model (green). These curves have been normalized to indicate scattering from the

same number of electrons (by dividing the fibril scatter by 6). (b) Region of the equator over which

model fitting was carried out corresponding to the inset in (a).

Figure 11 R-factor - a measure of the goodness of fit for each diffraction pattern

(comparing the observed data with that calculated from a linear combination of amorphous and

fibrillar components).Data for all 5 rows of diffraction patterns in the montage are shown — each

row being rendered in a different color. R-factor = [(Iobserved - Icalculated)2]

1/2]/[ Iobserved

2]

1/2.

5 10 15 20 25 30 35 400

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Observed Intensity

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Intensity from Amorphous

Intensity from Fibrils

a b

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4.2 Results for wild type Arabidopsis

4.2.1Anatomy of the Longitudinal Section

Figure 12a is an x-ray fluorescence image of the distribution of calcium in a

longitudinal section of Arabidopsis stem. Calcium is apparently distributed uniformly

through the plant cell walls. As a primary ionic elements of plant cell, the XFM of calcium

provides good contrast for visualizing the cell walls. Here we scanned only half of the stem,

the outside of the stem is at the right in optical image (Figure 12d); the center of the pith at

the left-hand edge of the field of view. The elongated shapes of plant cells are reflected in

the positions of cell walls. As Figure 12d shows, an optical microscope image taken of the

field of view indicates the location of the region in which we carried out scanning

microdiffraction. The quality of the image is compromised by the presence of a hole drilled

down the optical axis of the microscope to allow passage of the x-ray beam. The blue

rectangle indicates the location of the 190 μm x 25 μm (38 columns x 5 rows) grid on which

x-ray patterns were collected. Figure 12b is a montage of the central region of the 190

diffraction patterns in this grid and Figure 12c is a pseudo colored image of the grid coded to

indicate total scattering intensity. The distinctive characteristics of scattering from each

tissue enable us to estimate the approximate positions of pith, xylem, phloem, cortex and

epidermis. Little detail can be seen in the patterns in Figure 12c, and four representative

scattering patterns — from the pith, xylem, phloem and epidermis — are reproduced in

Figure 13.

We propose a prototypical fibrillar cellulose diffraction pattern based on the pattern

from the phloem in Figure 13c. The pattern exhibits relatively well oriented scattering that is

dominated by a pair of strong fingerprint reflections typical of cellulose crystallites. There are

two broad reflections on each side of the equator and a sharp reflection at wider angle on the

meridian of the pattern. The lower radius equatorial peak is a superposition of the (1 1 0) and

(1 -1 0) reflections from cellulose Iβ; and the (2 0 0) is the larger radius equatorial reflection.

The sharp meridional reflection is the (0 0 4). In contrast, the pattern from the pith (Figure

13a) is more typical of amorphous cellulose and is used as a model for scattering from

amorphous cellulose. The scattering in the pattern from pith is completely disoriented at

angles that span those of the strong equatorial peaks seen in Xylem (Figure 13b). In

scattering from pith, the (0 0 4) peak is particularly weak, indicating low cellulose content.

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Figure 13b, from xylem, is very similar to Figure 13c except for the presence of numerous

sharp, punctate reflections due to crystalline mineral inclusions. Scattering from the cortex is

not readily distinguishable from that of the phloem. Figure 13d shows that scattering from

cellulose is nearly absent in the epidermis. Instead of cellulose scattering, we observed a

sharp peak at a spacing of 4.13 Å and a series of relatively sharp, small angle peaks due to

the lamella structure of waxy surface coating of the stem. Figure 13e shows the evolution of

the equatorial intensity from pith to epidermis; the transition from amorphous cellulose

scatter to fibrillar cellulose and concluding with the sharp small angle peaks from wax and

the almost the complete absence of scattering from cellulose in the penultimate layer. The

background intensity was calculated from the first and last patterns of each row in the series,

these diffraction patterns scatter at place just outside the sample.

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Figure 12 Images of a 100 μm thick longitudinal section through the Arabidopsis stem: (a) X-ray

fluorescence microscope image of the distribution of calcium. The distribution of Calcium is

relatively even in the cell walls making Ca-distribution a high-contrast visualization of the location of

cell walls in the sample. Scale bar is 100 μm. (b) A montage of the 190 micro diffraction patterns

taken at the positions marked in (d). (c) A false color rendering of the total intensity of scattering in

each pattern of the montage. (d) An optical microscope image of the stem showing the grid that

corresponds to the positions at which microdiffraction patterns were taken. Scale bar is 20 μm.

a.

b.

1 5 10 15 20 25 30 35

1 3

5

d.

c.

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Figure 13 Different parts of the stem exhibits diffraction patterns with distinct features. (a)

Diffraction from the pith region in the interior of the stem exhibits a single broad, disoriented

reflection. (b) Diffraction from the xylem region that the intensity distribution contains typical

reflections from cellulose fibrils. Random distributed sharp peaks appears to be scattering from

mineral inclusions; (c) diffraction from the phloem region exhibits prototypical cellulose fibril

scattering; (d) sharp small angle and wide-angle reflections typical of wax were observed in

diffraction from the epidermis (inset is an enlargement of the center of the pattern). (e) Equatorial

intensity as a function of units from the center of the diffraction pattern for 38 patterns spanning

from pith to epidermis.

a b

c d e

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4.2.2 Microfibril angle and cellulose orientation

In many regions of the stem, we observed scattering that appeared to be a

superposition of two fiber patterns rotated at an angle to one another. This observation is

caused by the presence of two populations of cellulose microfibrils rotated relative to one

another. These two populations arise from the fact that cellulose microfibrils appear to wind

around plant cells in a helical path (Cave, 1966). Because of the geometry of helical

wrapping, microfibrils tilt relative to the principal axis of the elongated cells. The diffraction

patterns contain the scattering from both the front and back of the cell. Therefore, the

superposition could be separated with the two patterns rotated by an angle equal to twice the

angle between the microfibrils and the principal axis of the cell. The variation of this angle

has been studied at millimeter resolutions in wood (Cave, 1966) and more recently at higher

spatial resolutions by microdiffraction (Lichtenegger, 1999; Muller, 1998.). Here, we

measured the angular separation between the two superimposed patterns by fitting Gaussian

angular profiles to the data as shown in Figure 14. Measurement of the microfibril angle

(MFA), the angle between the cellulose fibers and the longitudinal axis (half the angle

between diffraction peaks), was possible using data from column 12 to column 35 of the

montage (Figure 15) . These areas correspond to pith, xylem, phloem and cortex and the

inner part of the epidermis. In the pith (columns 1-11) cellulose exhibits little azimuthal

orientation and from outer epidermis (columns 36-38) little scattering from cellulose is

discernible.

Figure 15a shows the variation in azimuthal positions of the two peaks (in the right

and left halves of the patterns) and 14b the corresponding MFA (half difference of angle

between the two peaks) as a function of column position in two rows of the montage. As

discussed above, x-axis of Figure 15 corresponds to the column 12 — 15 of scanning grid of

microdiffraction. The microfibril angle decreases from about 30o in the pith to about 10o in

the vessel tissue region. It remains at about 10o through the xylem and phloem regions and

decreases to near zero in the cortical region. The punctate approach to zero microfibril angle

in the pith/xylem region occurs at cell wall boundaries where the tilt of the cellulose fibrils is

either directly towards or away from the x-ray source.

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Figure 14 MFA is determined by the angle between split (2 0 0) reflection of cellulose fibrils. (a)

Measurement of the azimuthal positions of the (2 0 0 ) for a diffraction pattern from column 23. The

angular separation was microfibril angle. The ring in black represents annulus over which the

intensity was measured. Inset shows the small angle area of the diffraction pattern indicating two

orientations of the microfibrils (MF). Diffraction peaks of microfibrils split at small angle and (2 0 0)

reflections (shown with arrow). (b) Azimuthal average intensity plot of ring indicated in (a). The red

lines correspond to background. The sharp low intensity feature is the shadow of the beam stop

holder. The straight red line is the minimum of plot outside the shadow . Two Gaussian functions

(green) are fit to the background-subtracted data and correspond to the azimuthal positions of the (2

0 0). The microfibril angle difference determined by distance between peak positions of the two

Gaussian functions.

a b

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Figure 15 Trend of variation of MFA across the stem of Arabidopsis. (a) is the measured azimuthal

positions for peaks in two of the rows of the montage. (b) is MFA derived from the data in (a).

Horizontal axes represents the column position from outer pith to inner epidermis. x-axis of Figure 15

corresponds to the column 12 — 15 of scanning grid of microdiffraction.

10 15 20 25 30 35 4060

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4.2.3 Constituents of the Two Component Model

The pith contains abundant amorphous material including cellulose (about 30%) and

non-cellulosic components including lignin, hemicellulose, pectin and other minor

components. The heterogeneous mixture of constituents provides very distinctive pattern

with complex structural information. (Turner and Somerville, 1997). The lignin fraction

appears to be relatively small in pith (Zhong, 2000). Agarwal (Agarwal, 2013) reported that

amorphous cellulose, lignin and xylan (hemicellulose) exhibit broad reflections at scattering

angles similar to the (1 1 0)/(1 -1 0) and (2 0 0) reflections from cellulose Iβ. Although the

scattering from lignin and xylan exhibit peak positions slightly shifted from the observed data,

the nature of scattering from all of these components do not appear significant different from

what we observed in scattering from pith. This makes it exceedingly difficult to separate

scattering from individual components in this region. For qualitative analysis, we introduce

the two-component model to estimate the relative amounts of crystalline and amorphous

materials in the various tissues of the stem. Then, we need only to formulate a two-

component model that will account for all the scattering in the observed patterns and provide

a set of relative weights for amorphous and crystalline scattering at each observation point.

As a surrogate for the complex mixture of amorphous materials in the pith, we utilized a

model for amorphous cellulose that accounted for all the data and provided a metric for

estimating the relative amorphous content in each diffraction pattern.

Comparison of equatorial scattering from pith with that calculated from a wide range

of cellulosic aggregates (Figure 16) indicates that a unit of 4-6 chains formed by two layer

can account for virtually all the equatorial scattering observed from the pith in the region of

the (1 1 0)/(1 -1 0) and (2 0 0) reflections. On this basis, we used the scattering from a two-

layer, 6-chain aggregate of cellulose as a surrogate for estimating the relative scattering of

amorphous materials across the stem.

Diffraction patterns from vessel tissues of the stem - xylem and phloem, include two

equatorial reflections distinct to cellulose; one corresponding to the superposition of the (1 1

0) and (1 -1 0) reflections and the other to the (2 0 0) reflection of cellulose Iβ. Crystalline

cellulose-microfibrils give rise to those reflections. We studied various microfibril models,

including a 24 chain model (Fernandes, 2011; Thomas, 2013) and a 36 chain model (Ding

and Himmel, 2006). Extensive modeling carried out here indicated that the observations were

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best fit using a 36 chain model with an elliptical/hexagonal cross section as suggested by

Ding and Himmel (Ding and Himmel, 2006).

4.2.4 Ratio of Amorphous to Fibrillar cellulose

Diffraction patterns involve scattering from a mixture of amorphous material and

cellulose microfibrils, the fraction for amorphous and microfibrils varied with tissues

specification. Therefore, we interpreted the equatorial scattering in terms of a linear

combination of scattering predicted from an elliptical, 36 chain model for the crystalline fibril

plus a two layer surrogate model for the amorphous components as shown in Figure 16.

Linear combinations of these two components proved adequate to fit the scattering from all

regions of the stem (Figure 18). A and B in Error! Reference source not found. are the

constants of proportionality of amorphous and microfibrils for each patterns. This enables us

to qualitatively estimate the relative amounts of fibrillar cellulose and amorphous

components in the different regions (Figure 19 and Figure 20).

Cellulose fingerprint reflections were generally not observed in pith, but rather

scattering in this region exhibited a single broad peak, as shown in Figure 18a. The diffuse

scattering extended from near the expected position of the (1 1 0)/(1 -1 0) reflection to just

beyond the (2 0 0) reflection with a profile similar to that predicted to arise from aggregates

of cellulose with 4-6 chains or hemicellulose. The scattering in pith was azimuthal isotropic

indicating little orientation for the amorphous material. The weak (0 0 4) reflection in this

region (Figure 13a) is suggestive of relatively low cellulosic content, disorder of fibrils in

the axial direction and the presence of non-cellulosic components. The weak (0 0 4)

reflection also suggests that what amorphous cellulose may be present may be either short

crystalline fragments, randomly oriented (Fink, 1987) or highly bent and twisted fibrillar

forms (Paakkari and Sermaa, 1989). The quality of intensity fitting from pith region to

epidermis region indicates that two phase model provides adequate estimation, as Figure 18

shown, where blue curves in each figure correspond to observed intensity. The relative

proportions of crystalline cellulose and amorphous components change dramatically with

position as shown in Figure 19a and b. The fibrillar content, Figure 19c, is defined as the

proportion of cellulose in the form of elementary, 36-chain fibrils. The residual, R-factor,

Figure 19d, a measure of the discrepancy between calculated and observed, is less than 15%

for nearly all patterns. This analysis allows the percentage of cellulose chains in elementary

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fibrils ('apparent fibrillar content') to be calculated as a function of distance across the stem.

Because of the complexity and heterogeneity of the molecular architecture of cellulosic and

non-cellulosic material, we introduce 'apparent' fibrillar content. It should not be ignored that

individual cellulose molecules or single layers of molecules give rise to only very modest

scattering in the region of the equator analyzed. Conversely, the presence of non-cellulosic

material, such as hemicellulose, lignin and pectin, that may contribute to scattering in this

region should be included in estimates of amorphous content, leading to an underestimate of

the fibril content. Finally, disorder in the crystalline lattice of the fibrils (Fernandes, 2011)

may lead to an underestimate of fibrillar content. On this basis, we only provides relative,

not absolute, estimates for fibril content as a function of distance across the stem. The

highest apparent fibrillar content comes from diffraction patterns in column 29 or 32 of each

row (shown in Figure 19) , with the highest value observed being ~33%. This region may

correspond to cambium between xylem and phloem, where growth of cell wall is most active.

Gradual degradation of cell wall observed during maturation is suggestive of the decrease of

fiber content from xylem to pith region. In the pith region, lignin reduction causes that

microfibrils lose protection and tend to break down. Our data indicate the products of that

cellulosic material degradation may include many relatively small cellulose aggregates

composed of two molecular layers of cellulose, the presumptive products of this breakdown

process.

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Figure 16 Determination of amorphous component models. Comparison of six small cellulose

crystallites are shown. A double layer model exhibits the best fit to observations.

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Figure 17 Two component model intensity fitting for each microdiffraction pattern. (a) Scattering

from amorphous material as obseved at pith (blue) and scattering from air (green). Background is

based on the intensity from the first column, just outside the sample tissue. (b) Intensity of

diffraction from the most crystalline region (blue) and corresponding background from air (green).

(c) Intensities were modeled as a linear sum of scattering from two phases - amorphous and

crystalline. Scattering calculated from elementry fibrils (blue) and amorphous component, which

was simulated by a six cellulose chains model (green). (d) Region of the equator over which model

fitting was carried out corresponding to the inset in (c).

a b

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c d

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Figure 18 Comparison of calculated and observed intensities for seven diffractions typical to various regions of

the stem.

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Figure 19 Distribution of amorphous and fibrillar fractions of the two component model as

determined by fitting of equatorial data as shown in Figure 18. (a) Integral intensity of elementary

fibrils (b) Integral intensity of amorphous fraction. (c) apparent fibrillar content. (d) R-factor - a

measure of the goodness of fit for each diffraction pattern. Five different color curves correlate to

data for all 5 rows of diffraction patterns in the montage. Calculation for images were shown as: (a)

Integral Intensity of elementary fibrils = A·Ielementary fibrils; (b) Integral intensity of amorphous component

= B·Iamorphous component; (c) Apparent FIbrillar Content = [A·Ielementary fibrils]/[A·Ielementary fibrils +B·Iamorphous

component ] ; (d) R-factor = [(Iobserved - Icalculated)2]

1/2]/[ Iobserved

2]

1/2.

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c d

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Figure 20 Comparison of integral intensity of (0 0 4) reflection and elemental fibrils. The trend of

integral intensity of reflection (0 0 4), figure on the left, is consistent with the trend of integral

intensity of elemental fibrils, figure on the right.

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4.2.5 Wax diffraction pattern from the epidermis

A series of sharp small angle reflections combined with a wide-angle reflection at

approximately 4.13 Å spacing appear in the last one or two patterns in each row of the

montage. The outermost layer of the stem corresponds to the epidermis, which contains an

abundance of plant wax. The waxy crystallite gives rise to the small and wide reflections at

the peripheral region of stem. Spacings of the small-angle reflections suggested the presence

of two co-existing phases of wax; one exhibiting a 78.6 periodicity with strong peaks at the

second, fourth and sixth order; and a second phase with a periodicity of 81.7Å with strong

third and fifth order peaks. The chemical composition of the Arabidopsis stem and leaf

waxes have been investigated (Rashotte A. M., 2001; Rashotte A.M., 2004; Jenks M., 1995;

Hannoufa A., 1993). The predominant wax components of Arabidopsis stems are C29 alkane,

ketone, and secondary alcohol, together with smaller quantities of C28 primary alcohols and

C30 aldehyde. The wax load was higher at stems than other parts of Arabidopsis. (Suh M.C.,

2005). The small angle reflection of wax for our observations are consistent with the

presence of C29 alkane with a 78.6 periodicity and C29 ketone with an 81.7Å periodicity.

C29 alkane exhibits diffraction with strong even order peaks whereas C29 ketone exhibits

strong odd order peaks (Ensikat, 2006). Therefore wax compound of epidermis of stem

appear to contain two components - C29 alkane and C29 ketone. The average coherence

length of the two phases was determined by the breadths of the peaks, and used as a measure

of the size of the lamellar crystals giving rise to these reflections. The 78.6 Å phase

exhibited a coherence length of 1290 + 320 Å, and the 81.7 Å phase, a coherence length of

420 + 30 Å as estimated from data in column 37 of all five rows of the montage. (Coherence

length calculation see section 5.2.5, standard deviation for coherence length was determined

by 40 patterns from SXMD. )

The (1 1 0) is Scattering from the epidermis of Arabidopsis stem exhibits a strong

reflection at 4.13 Å, that is consistent with the (1 1 0) reflection – the most significant

reflection from the wax crystallites (Ensikat, 2006) in the wide-angle regime. As shown in

Figure 22, as the micro beam approaches the edge of the stem, the coherence length of the

wax crystal does not change appreciably. However, the integral intensity increases. That

indicates that the size of wax crystallite is independent of the wax deposition.

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Figure 21 The diffraction pattern from the epidermis exhibits sharp reflection in the small angle

regime. (a) Wax crystallites give rise to strong diffraction peaks at small angle region in patterns

from epidermis. (b) Distribution of intensity along the meridional direction. Positions of five peaks

correspond to those expected in a diffraction pattern from C29 alkane (C29H60 ) or C29 ketone

(C29H58O). Green line represents estimated background, red curve corresponds to scattering

expected for C29 alkane, pink curve corresponds to that for ketone.

0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.090

50

100

150

200

250

300

350

400

1/d(ANGSTROM)

INT

EN

SIT

Y

Wax Reflection at Small Angle

Observed

Background

Without Background

Ketone

Alkane

0.1 0.15 0.2 0.25 0.3 0.350

20

40

60

80

100

120

f.XYLEM and PHLOEM

1/d(1/ANGSTROM)

INT

EN

SIT

Y

a b

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Figure 22 Wax secretions could be determined by the power of scattering at the edge of the stem. (a)

diffraction pattern exhibiting the strong reflection at 4.13 Å. (b) intensities along the equator of this

pattern including observed (blue), background (brown), background subtracted intensities (red),

modeled scattering from cellulose (cyan) and remaining scattering assigned to scattering from wax

(green). The green curve is background, red curve represents amorphous cellulose and the (110)/(-1 1

0) and (200) reflections from cellulose Iβ. (c) Coherence length of wax diffraction pattern as a

function of position across the epidermis. (d) Integral intensity of wax diffraction across the

epidermis.

a b

c d

0.1 0.12 0.14 0.16 0.18 0.2 0.22 0.24 0.26 0.280

50

100

150

200

250

300

1/d(ANGSTROM)

INT

EN

SIT

Y

Wax Reflection of (1 1 0)

Observed

Background

Without Background

Cellulose

Wax

wax diffraction at 4.13 A

0.1 0.15 0.2 0.25 0.3 0.350

20

40

60

80

100

120

f.XYLEM and PHLOEM

1/d(1/ANGSTROM)

INT

EN

SIT

Y

30 32 34 36 380

100

200

300

400

Pattern Position

Cohere

nt Length

of R

eflection (

1 1

0)

30 32 34 36 380

100

200

300

400

Pattern Position

30 32 34 36 380

100

200

300

400

Pattern Position

30 32 34 36 380

100

200

300

400

Pattern Position

Cohere

nt Length

of R

eflection (

1 1

0)

Row1 Row2

Row4Row3

30 32 34 36 380

50

100

150

200

250

Pattern Position

30 32 34 36 380

50

100

150

200

250

Pattern Position

30 32 34 36 380

50

100

150

200

250

Pattern Position

Inte

gra

l In

tensity o

f R

eflection (

1 1

0)

30 32 34 36 380

50

100

150

200

250

Pattern Position

Inte

gra

l In

tensity o

f R

eflection (

1 1

0)

Row3

Row1 Row2

Row4

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4.2.6 Mineral inclusions

There are many very sharp peaks superimposed on the broad reflections from

cellulose at xylem and phloem of stem. They are due to small crystalline inclusions of

minerals in plants. Figure 23 gives three representative patterns that contain scattering from

minerals. X-ray fluorescence microscopy of the sample was carried out to aid in the

identification of the minerals giving rise to this scattering. As shown in Figure 24, XFM

suggests the presence of inclusions rich in silicon and iron and apparent co-localization of

potassium and chlorine. Calcium and zinc appear uniformly distributed throughout the

Arabidopsis cell wall and do not appear involved in formation of mineral inclusions. These

uniform distributions may correspond to calcium and zinc forming complexes with pectin.

Demarty et al., 1984 (Demarty M., 1984) has shown that most tissue calcium is associated

with the middle lamella of the cell wall. Absence of co-localization of calcium with the

silicon appears to preclude the possibility that calcium silicates are present.

The observed mineral diffraction patterns were compared with patterns from mineral

powders. (webmineral.com; rruff.info) The comparison indicated that no one mineral could

account for all of the sharp reflections observed and the presence of no particular mineral

could be unambiguously confirmed on the basis of the data collected (Table 2). In addition

to the minerals listed in the Table 2, KCl might account for the presence of reflections at

3.13 Å since sylvite (KCl) exhibits a 3.15 Å peak. Of the possible silicon minerals, quartz

would give rise to a peak at 3.34 Å that is not observed. The presence of the strong reflection

at 6.4 Å appears difficult to account for on the basis of any minerals commonly observed in

plants. Although there seems to be evidence for the presence of several of these minerals in

the Arabidopsis stem, unambiguous determination would require additional data.

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Figure 23 Diffraction patterns from Column 27-30 show mineral diffraction peak seen as bright

points at the xylem and phloem. D-spacing of each reflection is shown in text. Column 27-30

correspond to xylem and phloem region as shown in Figure 12b

4.02

4.32

4.95

3.82

2.95

3.12

4.99

3.55

a c b

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Figure 24 X-ray Fluorescence micrographs of the distribution of metals in the thin section of

Arabidopsis stem. Zinc and calcium are evenly distributed in the cell walls of the stem. Silicon-rich

inclusions are abundant in the xylem and phloem regions of the stem. Scale bar is 20μm.

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Table 1 Coherence Length of Wax Crystals

Diffraction

pattern of C29

Alkane

D-

spacing

(Å)

Coherence

length of C29

alkane(Å)

Diffraction

pattern for

C29 Ketone

D-spacing

(Å)

Coherence

length of C29

Ketone(Å)

Second order 39.40 1498 Second order 40.74 458

Fourth order 19.64 1287 Third order 27.14 435

Sixth order 13.09 1217 Fifth order 16.43 411

Table 2 Comparison of d-spacings of Bragg peaks observed in microscanning patterns with those

expected for specific mineral inclusions.

(http://rruff.info/) The deviations from the observed spacing were shown in parenthesis

obs (Å)

Tridymite

SiO2 Cristobalite SiO2

Nitrocaclcite Ca(NO3)2· 4(H2O)

Hexahydrite MgSO4· 6(H2O)

Calcite CaCO3

Whewellite

Ca(C2O4) · (H2O)

Weddellite

Ca(C2O4) · 2 (H2O)

Humboldtine Fe(C2O4) · 3(H2O)

6.41 6.18(0.23)

5.84 5.64(0.2) 5.93(0.09)

5.25 5.41(0.16) 5.44(0.19)

4.95 5.13(0.18) 5.09(0.14) 4.8 (0.15)

4.34 4.33(0.01) 4.36(0.02) 4.39(0.05) 4.42(0.08) 4.7(0.36)

3.99 4.09(0.10) 4.04(0.05) 4.03(0.04) 3.88(0.11)

3.81 3.81 3.88(0.07) 3.86(0.05)

3.55 3.58(0.03) 3.45(0.1) 3.65(0.10) 3.60(0.05)

3.13 3.13 3.12(0.01) 3.19(0.06) 3.03(0.10)

2.93 2.97(0.04) 2.84(0.11) 2.93 2.97(0.04) 3.00(0.07)

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4.3 Discussion

The study of SXMD on longitudinal section has revealed substantial architectural

heterogeneity in the plant cell walls of different tissues of the Arabidopsis stem. Within a

field of view smaller than the size of a conventional x-ray beam we collected 190 diffraction

patterns and carried out detailed analyses on each pattern. That diffraction patterns involve

the scattering scan across the stem with μm size step provided information of structural

variations by identifying the changes of the orientation and size of microfibrils and the

relative abundance of amorphous components and crystalline (fibrillar) cellulose. In the

epidermis, we observed dominant scattering from wax instead of cellulosic material. In some

tissues, scattering from mineral inclusions was superimposed on the cellulose scattering.

The geometrical features of helical wrapping of cellulose microfibrils cause a double-

orientation for cellulose reflection, that coming from opposite sides of a plant cell wall. We

separated the superimposed diffraction patterns to calculate the MFA, which is a measure of

the tilt of microfibrils to longitudinal axis. The overall pattern observed here – large angles in

the pith transitioning gradually to smaller angles in the xylem and phloem –appears similar to

those studied in other plants at substantially lower resolutions (typically mm). The trends in

fibrillar orientation, that could not be demonstrated previously are revealed by scanning

tissues with x-ray beams of substantially smaller dimensions. The thickness of plant cell wall

is similar to microbeam dimension — about 5 μm. When micro beam is incident at the

boundaries between cells, the cell wall is parallel to the x-ray beam and the tilt of fibrils is

either directly towards or away from the beam (as opposed to being orthogonal to the beam).

The encounter of boundaries of cell wall account for observation of punctuate regions of

essentially zero fibrillar angle. Microfibril angle variation may correlate with distribution of

turgor of plant stem. Turgor increases with stem radius inducing a higher stress on cellulose

fibers and potentially providing evolutionary pressure for fibrillar organization best suited to

tolerating that stress.

Equatorial reflections for most scattering patterns exhibited the highest intensity at

spacings from 0.15-0.3 Å-1. In the xylem and phloem, featured reflections from cellulosic

fibrils were dominated in scattering patterns. In the pith the observed scattering was rather

atypical, devoid of the signature reflections of cellulose Iβ including the (1 1 0)/(1 -1 0), (2 0

0) and exhibiting little orientation. This scatter, also contained a single broad reflection, that

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extended in the spacing range of 0.15 - 0.3 Å-1. The single broad peak is due to a

heterogeneous mixture of amorphous components. A two-component model, consisting of a

crystalline, 36-chain fibril and a surrogate amorphous component fraction proved adequate to

reconstruct the observed scattering from all patterns except from the epidermis (which was

dominated by scattering from wax). The composition of the cell walls is undoubtedly

heterogeneous. However to identify the specific nature of the amorphous component required

a combination of chemical analysis and SXMD data. Here we proved that the cell walls

contain a mixture of amorphous components and fibrillar cellulose and the relative amount of

cellulose in fibrillar form rises from essentially zero in the pith to a maximum in the

cambium region between xylem and phloem.

The pith region appears to contain only primary cell walls constituted by a large

amount of amorphous materials including amorphous cellulose. The materials are largely

disoriented, with low fibrillar content and almost no mineral inclusions. Arabidopsis stems

may have in planta pathways for fibrillar degradation that lead to breakdown of fibrillar

architecture that was in place in the pith earlier in the plant life cycle. Because amorphous

material is the dominant component for cell wall in pith, pith are unlikely to provide the same

level of mechanical support present in cell walls with larger fibrillar content. Therefore, pith,

as a tissue without strict mechanical requirements may also represent an architecture that is

relatively easy to break down and reform.

Since the xylem appears to be a transition tissue from vascular tissues to pith, the

proportion of cellulose in fibrillar form increases from near zero at the inner part of the xylem

to near 33% at the outermost part. However, this variation of fiber content could also be a

reflection of a superposition of both pith and xylem in the relatively thick (100 μm) sections

used in this study. In either case, this appears to track according to the mechanical strain

associated with larger distance from the center of the stem. The xylem appears to have

transport properties for a substantial drifting of mineral and nutrient from root to apex, these

properties cause important functional constraints on the nanoscale architecture of the cell

wall. The cell walls of the phloem, by contrast, appear to have the maximum fibril content,

comparable to the outside of the xylem, and more or less constant across the breadth of the

tissue. This may be in response to the mechanical strain put on the phloem by virtue of its

position near the surface of the stem, or by the transport requirements of the tissue. Cortex

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has lower fiber content than other vascular tissues but higher robustness. This is due to the

higher concentration of calcium in the cortex than xylem and phloem, as observed by XFM.

Van Buren (Van Buren, 1991) indicated that calcium ion and pectin have essential impact on

the plant robustness, accumulation of calcium ion and pectin in the cortex region will

enhance plant cell wall firmness. Wardrop (Wardrop, 1976) found unlignified cell walls

contain much more calcium than ligninified cell walls. It follows that lower fiber content of

the cortex may nonetheless be associated with higher physical robustness than the phloem.

The estimation of fibril size from x-ray scattering could be described with respect to

several aspects, such as homogeneity and crystallinity of samples (Nishiyama, 2009). As

reported previously (Fernandes, 2011; Thomas, 2013) the predicted scattering from ideal

crystallites of cellulose Iβ does not correspond well to the observed intensity for models with

any number of cellulose chains or any shape of fibril. In particular, the observed intensity

between the peak composed of the superposition of the (1 1 0) and (1 -1 0) reflections and

that of the (2 0 0) reflection indicates a larger lattice index for all crystallite models.

Fernandes et al. (2011) and Thomas et al. (2013) try to account for structural variation of

cellulose crystallite by introducing an asymmetric disorder term into their paracrystalline

model. Although this approach could explain the scattering we observe from the outer

regions of the stem (if we were to hypothesize a large degree of asymmetric disorder) it

cannot account for the scattering from the inner regions of the stem. In those regions the

observed intensity exhibits a broad intensity peak between the expected Bragg peak positions

of cellulose crystallite. This kind of distribution can be interpreted by an additional

amorphous component that may include cellulose, lignin, hemicellulose and pectin.

Consequently, we chose to construct a two-component model consisting of an amorphous

component and fibrillar crystallites. This approach provided a unified explanation of the

diversity of diffraction patterns observed across the Arabidopsis stem.

Scattering from epidermis exhibits a single wide-angle reflection at approximately

4.13 Å spacing corresponding to the spacing between alkane chains of wax. It further exhibits

a series of small-angle peaks that provide information about the nature of the layered

crystalline form of wax on the surface. We observe alkane and ketone forms co-existing in

the epidermis, giving rise to two sets of Bragg peaks with periodicities of 78 Å and 81 Å.

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Coherent length results show that the size of the lamellar structures differ for the two waxes

observed and suggest that ketone and alkane assemble differently at the stem surface.

Mineral inclusions are common in plants and are assigned a number of functions for

plant maturity and growth. Results of SXMD show that the inclusions were largely confined

to vessel tissue, such as the xylem and phloem. Nitrogen, calcium, sulfur magnesium and

silicon are essential macronutrients for plants and are commonly found in vessel tissues. In

principle, identification of particular minerals involved can be made by correlating the

scattering angles of the reflections observed to those known to be characteristic of all

common minerals. In practice, however, mineral content can be heterogeneous and

observations of scattering peaks may be sparse with but a single peak observed from any

given inclusion. This may preclude an unambiguous identification of mineral inclusions

from the spacings of scattering peaks alone. Addition of data from XFM greatly simplifies

determination of the nature of the inclusions, providing a list of elements involved (or not

involved) in the inclusions. In this case, XFM demonstrated the presence of silicon in the

inclusions. We concluded from that data that some form of silicon oxide was involved, and

the some of the diffraction data was consistent with presence of cristobalite (SiO2), which has

a diffraction peak at 4.04Å. XFM also indicates high levels of rather uniformly distributed

calcium are present, consistent with earlier observations (Demarty M., 1984). It has been

suggested (Van Buren, 1991) that calcium ions frequently complex with cell wall pectin.

Studies of SXMD exhibit that the architecture of cell walls in the pith (and inner

xylem) have a fundamental difference from that in the fibril-rich walls of the transport tissues

and cortex. This structural distinction indicates that the fibrillar content of cell walls can be

adjusted to the requirements of the tissue of which they are a part. This reflects in vivo

control of fibril content within the cell wall. Study of differences in the synthetic apparatus

and deconstruction pathways as expressed in the pith and in the exterior regions of the stem

may provide clues to the elements involved in this control as a first step towards design of

plants that may exhibit far less recalcitrance to the physical and chemical processing required

for utilization of biomass as feedstock for chemicals and fuels.

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Chapter 5

Study of molecular architecture of plant cell walls in

Arabidopsis harboring mutations in lignin biosynthesis

That SXMD study on the plant cell walls of wild type Arabidopsis reflected the well

known facts that plant cell walls are complex structures composed largely of high molecular

weight poly-saccharides, highly glycosylated proteins, and lignin (Somerville, 2004). The

degree of co-mingling and cross-linking intrinsic to the cell wall has essential impact on the

synthesis and assembly of different polymeric species. But the details of the co-dependencies

among the molecular architecture of cell wall and the synthesis of polymer within cell wall

are completely unknown.

Lignin is a complex non-cellulosic polymer, which is deposited within the plant cell

wall of vascular tissues of stem. Lignin is composed by three basic monomer units — p-

hydroxyphenyl (H unit), guaiacyl (G unit) and syringyl (S unit). G and S units constitute 90 %

of monomer of lignin. The understanding of lignin biosynthetic pathways (Fraser, 2011)

opens the possibility to construct numerous Arabidopsis mutants with altered lignin

compositions and disrupted microstructure. Physical changes of Arabidopsis stem, like

dwarfism, breakdown of vascular tissues, alteration of the plant cell wall microstructure, have

been observed for Arabidopsis mutants with lignin deficiency (Turner and Somerville, 1997).

We have collected SXMD data on wild type [WT] Arabidopsis and 7 variants, each identified

by a specific defect in some aspect of lignin biosynthesis. Variants studied include plants

with high levels of G lignin [high G], S lignin [high S], or H lignin [H lignin], high levels of

aldehyde [aldehyde], and of aldehyde with G lignin [aldehyde in G], high levels of ferulated

lignin [ferulated] and low lignin levels [low lignin]. Here we investigate the organization of

cellulose within thin sections of stem of these variants to determine if the alterations in lignin

biosynthesis lead to changes in the organization, orientation or order of cellulose fibrils in

these plants.

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5.1 Method for studying on the plant cell of Arabidopsis by SXMD

5.1.1 Separating oriented diffraction from patterns of SXMD and new fiber content

calculation

Both WT and Arabidopsis mutants were cultured for 6 weeks, harvested and the

bottom of stems of WT and lignin biosynthetic mutants of Arabidopsis were cut into 100 µm

thick longitudinal sections. This work was carried out by the Chapple laboratory at Purdue

University. One sample set was immersed in water at room temperature for 3 days and

subsequently dehydrated in air at room temperature for 24 hours before data collection. A

second set was immersed in water at room temperature for 30 days prior to being dehydrated.

Background scattering was estimated from the first and last diffraction patterns of

each row of the montage. These patterns were collected at positions outside of the sample

and constitute diffraction from air and mica window. We subtracted these backgrounds from

all diffraction patterns prior to all other data analysis.

Instead of simply modeling the fibrillar and amorphous component of plant cell wall

structure with cellulose microfibril and amorphous cellulose (as carried out for WT and

described above), we separated the diffraction pattern into reflections from oriented and

disoriented material. The linear combination of the intensities of oriented material and

disoriented material, as shown in Figure 27, was used to determine the fiber content:

IFibrillar Content = [ Ioriented material]/[ Ioriented material+ Idisoriented material] 3

IFibrillar Content is a measure of oriented fibrillar content, Ioriented material is the normalized

integral intensity of elementary fibrils, Idisoriented material is the normalized integral intensity of

amorphous component.

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Figure 25 Each microdiffraction pattern shown in grid was separated to oriented and disoriented pattern. a.

depolarized diffraction pattern. b. Azimuthal distribution at radius corresponding to ring insert in a.

c. diffraction pattern of disoriented material. d. diffraction pattern of oriented material.

Figure 26 Integral intensity of oriented component (blue) and intensity of disoriented component

(green)

a

d c

b

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Figure 27 Calculation of oriented fiber content. Oriented and circularly symmetric intensities are

separated as in Figure 25. The Intensity of oriented material (left) and unoriented material (right) are then

integrated over a range of spacings corresponding to the positions of the (1 -1 0) and (2 0 0) reflections

from cellulose (indicated in orange in the figures and spanning 0.1 < 1/d < 0.3 A-1). The proportion of

oriented fibrillar material is then calculated as indicated in the text.

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5.1.2 Determination of Microfibril Angle

The thin section of samples with thickness about 100 μm contains multiple cell walls

from different cell and tissues. Therefore, scattering of real tissue may overlap reflection

from mixed material. Lichtenegger et al., 1999 and Liu et al., 2013 reported MFA could be

used to determine the fiber orientation. Therefore, we developed an algorithm to determine

and separate the fiber orientation by azimuthal intensity distributions of diffraction patterns.

Microfibril angles were estimated from the angular variation of intensities in a polar

coordinate system (Figure 28). Azimuthal positions of peaks were determined by fitting of

Gaussians to the intensity as a function of at a radius corresponding to the (2 0 0) reflection

of the cellulose Istructure

5.1.3 Calculation of coherence length of crystallite

Axial periodicity of cellulose fibril corresponds to the (0 0 4) reflections. The breadth

of the (0 0 4) reflections calculated from the Scherrer equation enable us to estimate the axial

coherence length. Figure 29 shows Gaussian fitting of (0 0 4) reflection of cellulose fibrils.

Then coherent length could be calculated as below:

. 4

The green curve shows a Gaussian function fitting the reflection. The θ can be

determined by the peak position of the Gaussian and β is the half width of Gaussian function.

K is constant 0.9. is wavelength of incident x-ray.

5.1.4 Analysis of small angle reflection

The scanning microdiffraction technology on the lignin mutated sample reveals an

interesting observation that intensity distribution changed in small angle region for both WT

and lignin-mutated samples. A broad band is observed in xylem region for specific mutated

sample. Therefore, we try to interpret the intensity distribution by the solid cylinder model

and interference calculation between two cylinders to estimate the average size and distance

between fibers.

According to Debye calculation, the cylindrical average intensity could be calculated

as:

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5

is electron density of cylinder . R is the radius of cylinder. For convenience, we

let . Then

We assume the cellulose fibril size of WT and mutated sample is constant, the broad

band only comes from interference. The interference can be calculated as:

∫ ( )

For quantitative analysis, a constant, 12 Å, was assigned to r, d is distance between

two solid cylinder. Figure 30 shows the intensity distribution of solid cylinder (blue curve)

and interference of two cylinders (red curve) at small angle region.

Since real tissues were constituted by complexes, a combination solid cylinder, as

Figure 31 shows, calculated from wild type and interference of solid cylinder will improve

the fitting of the intensity of real data. Disorganization of amorphous material may lead to a

reduction in the observed interference.

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Figure 28 determining the MFA by identify split scattering from cellulose crystallite. (a) Diffraction

pattern exhibits separation of azimuthal positions of the (2 0 0 ) (microfibril angle). Inset shows the

small angle area of the diffraction pattern indicating two orientations of the microfibrils (MF).

Diffraction peaks of microfibrils split at small angle and (2 0 0) reflections (shown with arrow). (b)

Azimuthal average intensity plot of ring indicated in (a). Background was shown as red line through

1-360⁰. At 1- 180⁰ and 181-360⁰, two Gaussians functions (green) are fit to the background-

subtracted intensity to the azimuthal positions of the (2 0 0). Difference between peak positions of the

two Gaussian determine microfibril angle difference.

Figure 29 Calculation of axial coherent length for (0 0 4) reflection. A trace of the oriented intensity

including the (0 0 4) reflection of cellulose fibrils is shown in left. As shown in the enlargement of the

(0 0 4) on the right, the background subtracted reflection and (blue curve) and a Gaussian function

(green curve) fit to intensity distribution. Red line corresponds the maximum position of Gaussian

curve.

a b

0 0.1 0.2 0.3 0.4 0.50

0.5

1

1.5

2

2.5

3x 10

4

1/d

Inte

nsity

(0 0 4)

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Figure 30 Interference calculation and model and interference between two cylinders. The left plot

shows scattering from two independent cylinders (blue) and the interference that would arise if they

were positioned a distance 'd' apart, causing interference at small angles. The right image is the

model two cylinders apart from each other with d.

Figure 31 Fitting of small intensity distribution of mutated sample. Interference must be added to the

calculation of scattering from a solid cylinder to obtain an adequate fit to observed intensity.

d

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5.2 Results from lignin mutated Arabidopsis

5.2.1 Studies of molecular architecture of 16 samples by SXMD

5.2.1.1 Wild Type sample (WT)

The fiber content of wild type approached as high as ~ 25% in the xylem region (Figure 32).

The microfibril angle slowly increased towards the center of the stem, a trend opposite that of

fiber content. The (0 0 4) reflections are strong within the oriented part of the patterns and

reflects a relatively constant coherence length of about ~ 210Å at xylem. After storage in

water for 30 days, fiber content, represented by scattering from predominatly oriented

material, is significantly reduced. Poorly oriented patterns frequently preclude measurement

of microfibril angle and may have sufficiently weak (0 0 4) reflections to make measurement

of coherence length impractical. Extended storage in water results in lowered fiber content

and much wider variation of microfibril angle.

Figure 32 wild type sample dried 3 (left) and 30 (right) days after harvest. Optical micrographs

indicate the location of the microdiffraction scans. Fiber content, microfibril angle and axial

coherence length are plotted as a function of position across the stem.

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5.2.1.2 Aldehyde sample (cad-c cad-d)

The fiber content of aldehyde mutation in xylem could approach as high as ~ 25% (Figure

33). microfibril angle is observed across the stem with the opposite trend to the fiber content.

The axial coherence length is, in general, smaller that wild type, about ~ 196Å at xylem.

Storage in water results in a significant reduction of fiber content, to less than 10%. For these

samples, even the best oriented patterns are usually too weak to make possible measurement

of microfibril angle and coherence length. The overall impression is that cellulose fibrils are

highly disordered and disoriented in all tissues within the stem.

Figure 33 Aldehyde sample dried 3 (left) and 30 (right) days after harvest. Optical micrographs

indicate the location of the microdiffraction scans. Fiber content, microfibril angle and axial

coherence length are plotted as a function of position across the stem.

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5.2.1.3 Aldehyde in G sample(cad-c cad-d fah1)

The aldehyde in G exhibits properties similar to those of the aldehyde sample. The highest

fiber content of aldehyde in G was ~ 25% (Figure 34). Microfibril angle is observed to vary

modestly across the stem, generally exhibiting a trend opposite that of fiber content. The

coherence length is, like the aldehyde samples, smaller than wild type at about ~ 196Å in the

xylem. After 30 days storage in water a significant reduction of fiber content is observed,

down to less than 10%. The oriented patterns are again too weak to make possible

measurement of microfibril angle or coherence length. The cellulose fibrils are highly

disordered for the 30-day old sample. The thin sections of stem appeared collapsed in the

optical micrographs (Figure 34) reflecting the dramatic impact of this chaotic arrangement of

components on overall morphology.

Figure 34 Aldehyde in G sample dried 3 (left) and 30 (right) days after harvest.

Optical micrographs indicate the location of the x-ray microdiffraction scans. Fiber content, microfibril

angle and axial coherence length are plotted as a function of position across the stem.

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5.2.1.4 High G sample (fah1)

Samples with high G lignin exhibit oriented fibril content comparable to wild type at the

xylem. As for wild type samples, microfibril angle can be observed across the stem and

exhibits the opposite trend of oriented fiber content. The (0 0 4) reflections are strong,

allowing measurement of coherence length within oriented patterns, which is equal to ~ 220Å

within the xylem. After 30 days storage, the fiber content decreased modestly, suggesting that

G lignin may be efficient in protecting cellulose from degradative processes that led to severe

disorder and disorientation in other samples.

Figure 35 High G sample dried 3 (left) and 30 (right) days after harvest. Optical micrographs

indicate the location of the x-ray microdiffraction scans. Fiber content, microfibril angle and axial

coherence length are plotted as a function of position across the stem.

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5.2.1.5 High S sample(C4H:F5H:fah1)

The highest oriented fiber content observed in high S samples was only ~ 22% (Figure 36).

Microfibril angle is observed clearly across the stem, again exhibiting the opposite trend of

oriented fiber content. The (0 0 4) reflections are strong and well defined and reflect a

coherence length of ~ 210Å at xylem, about the same as wild type. After 30 days storage, the

fiber content decreases modestly, indicating that S-lignin, like G-lignin, may act to provide

some resilience of cellulose fibrils to degradative processes.

Figure 36 High S sample dried 3 (left) and 30 (right) days after harvest. Optical micrographs indicate

the location of the x-ray microdiffraction scans. Fiber content, microfibril angle and axial coherence

length are plotted as a function of position across the stem.

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5.2.1.6 High H lignin sample(ref8ref4rfr1)

The fiber content of High H at xylem approaches ~ 25% (Figure 37) similar to WT. There is

a distribution of microfibril angle across the stem with the opposite trend exhibited by

oriented fiber content. The (0 0 4) reflection gives rise to a mean coherence length of about ~

200Å, somewhat smaller than WT. After 30 days, structural degradation leads to significant

reduction of oriented fiber content. The weaker oriented patterns in general preclude

measurement of microfibril angle or coherent length. Qualitatively, the mutation gives rise to

degradation of cellulose organization similar to that observed in the aldehyde mutants.

Figure 37 High H sample dried 3 (left) and 30 (right) days after harvest. Optical micrographs

indicate the location of the x-ray microdiffraction scans. Fiber content, microfibril angle and axial

coherence length are plotted as a function of position across the stem.

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5.2.1.7 Ferulic acid incorporated lignin sample (ccr1)

The fiber content of ccr1 at xylem never exceeded ~ 19% (Figure 38), significantly lower

than wild type. Microfibril angle could be observed in almost all positions across the stem.

The axial coherence length was ~ 210Å at xylem, about the same as wild type. After 30 days

storage, oriented fiber content is reduced. The resulting weaker oriented patterns make

measurement of microfibril angle difficult in many cases and decrease the mean coherence

length, indications of significant decrease in order and orientation of the cellulose in these

samples.

Figure 38 Ferulate incorporated lignin sample dried 3 (left) and 30 (right) days after harvest. Optical

micrographs indicate the location of the x-ray microdiffraction scans. Fiber content, microfibril

angle and axial coherence length are plotted as a function of position across the stem.

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5.2.1.8 Low lignin sample (ref3-2)

The ref3-2 has much smaller fiber content compared to other mutants. Almost nowhere is

orientation adequate to make possible measurement of microfibril angle. The coherence

length is also significantly less than other samples, about ~ 160Å at xylem. After 30 days

storage, there is a further reduction of fiber content, but in some samples the orientation was

good enough to make possible measurement of microfibril angle. But most patterns were

sufficiently weak as to preclude measurement of microfibril angle or coherence length.

Figure 39 low lignin sample dried 3 (left) and 30 (right) days after harvest. Optical micrographs

indicate the location of the x-ray microdiffraction scans. Fiber content, microfibril angle and axial

coherence length are plotted as a function of position across the stem.

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5.2.2 Oriented Fiber Content

Tissue specifications give rise to a wide diversity in the degree of orientation with

many patterns. As discussed in 5.1.1, scattering was separated into oriented and disoriented

components as described in Methods. For instance, Figure 41 shows that significant oriented

pattern was separated from high S sample by isolating the anisotropic part of the pattern

(green on the right) from the isotropic part (red and white on the right). The intensity as a

function of scattering angle could then be calculated for both of these fractions resulting in

the intensity distributions in Figure 42. The significance of the (1 1 0)/(1 -1 0), (2 0 0) and

(0 0 4) reflections of cellulose indicated that scattering from cellulose microfibril was

dominate the oriented part of the pattern. Scattering in the disoriented part of the pattern

exhibits an intensity distribution rather different from that observed in the oriented part of the

pattern, with broader peaks and substantial increase in features not normally associated with

scattering from cellulose. Amorphous material exhibited that the un-oriented feature is a

combination of scattering from poorly ordered cellulose and a preponderance of non-

cellulosic materials.

We have observed that mutations on lignin biosynthesis lead to variations of oriented

fraction within plant cell wall for different samples (as well as among different tissues within

individual stems). By introducing Fiber Content, a measure of the proportion of total

material made up of oriented cellulose fibrils, we provide the quantitative studies of fibrillar

material within cell wall. Figure 41 shows the separated oriented and un-oriented pattern

from single diffraction, both of whom exhibit featured reflections from cellulosic material.

But the primary scattering from oriented material can be attributed to cellulose fibrils.

Consequently, the ratio of oriented intensity to total intensity, including scattering from

oriented and disoriented components, provides a relative measure of the extent of structural

organization of cellulose fibrils within the scattering volume. This measurement enables the

estimation of a relative fraction of the oriented fiber content for plant cell wall. Several

similar measures appear in the literature. Although other measurements, such as crystallinity,

are based on different empirical methods leading to somewhat different values and

corresponding to somewhat different properties, most exhibit similar trends for similar tissues.

As seen in Figure 40b, the cell wall within vascular regions contain largest oriented fiber

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content, particularly the xylem, and essentially zero in the pith and epidermis where no

scattering attributable to oriented, fibrillar cellulose is observed.

To identify the co-dependency among the oriented fiber content and mutations on

lignin biosynthesis, for the different variants, we compare the proportion of oriented fibrils of

the parenchyma, the region between xylem and phloem which exhibits the highest content of

oriented fibrils (Liu J., 2013). Figure 43 is a bar graph comparing the maximum values of

oriented fiber content observed in each of the 16 samples. The figure shows that for freshly

harvested plants (blue bars), significant reductions of the highest fiber content only happen to

ccr and ref3-2. ref3-2 has very low lignin content suggesting that assembly of cellulose

fibrils into oriented structures parallel to the stem relies on the presence of normal levels of

lignin. ccr has high levels of ferulated lignin and is far more digestible than WT. The

relatively high digestibility of ccr would suggest that its cellulose may also be susceptible to

degradation on storage in water, but our results indicate this is not the case.

We observed that after 30 days in water aldehyde, aldehyde in G and high H display

significant disordering of cellulose, but they show similar levels of oriented fiber content to

WT in fresh samples. These results were replicated on two sets of samples grown, harvested

and analyzed independently at different times. That the samples maintain physical integrity

after 30 days in water, indicates no evidence of microbial contamination. These observations

suggest that lignin organization may be important for protecting cellulose from hydrolytic

degradation that may occur in aqueous environments over time. Other variants showed much

less change on storage. Interestingly, ccr, which is known to be more digestible, does not

show a decrease in oriented fiber content after storage. No variant exhibited a significant

increase in oriented fibril content over wild type.

5.2.3 Crystalline order in the cellulose fibrils

The dimensions of the lattice of cellulose crystallite determine the positions of the (1

1 0)/(1 -1 0) and (2 0 0) reflections corresponding to the directions perpendicular to the fibril

axis. The widths of these reflections are affected by three aspects: crystallite breadth

(number of cellulose chains in the fibril), degree of order in the packing of cellulose chains,

and heterogeneity of crystal lattice constants. The difficulty in separating out these three

variables is a key reason for the continued debate over the number of cellulose molecules

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making up an elementary fibril. Nevertheless, the homogeneity of crystalline order within

the cellulose fibrils averaged over the scattering volume could be measured by the sharpness

of these peaks. Figure 44 shows traces of the (1 1 0)/(1 -1 0) and (2 0 0) reflections in

scattering from the different lignin mutants. The pattern corresponding to the highest fiber

content from each sample is compared here for the 8 samples analyzed 3 days after

harvesting. The (2 0 0) reflection is broadest for ccr and ref3-2, the samples with the lowest

lignin content. Whether this is due to intrinsic disorder within individual fibrils or to a

structurally heterogeneous population of fibrils requires further experimental data to

determine.

5.2.4 Microfibril Angle

Microfibril angle (MFA) was calculated by transforming all intensity onto a polar

coordinate system and identifying angles of maximum intensity as detailed in Methods.

Because of the symmetry of scattering from cellulose, two independent measures of

microfibril angle are obtained for each pattern and these were averaged. In many cases, the

diffraction was dominated by circularly symmetric scattering and exhibits essentially no

oriented diffraction, making microfibril angle undefined. Figure 40b shows the distribution

of microfibril angle for the WT sample in Figure 40a. The helical wrapping of cellulose

fibrils around plant cells (Emons and Mulder, 1998), as diagrammed in Figure 45, give rise

to two sets of reflections from cellulose fibrils, the half of angle between them is the MFA.

The microfibril angle in the cortex and initial part of vascular tissue is relatively constant at

about 15⁰, but increasing to about 30o immediately adjacent to the pith. As seen in Figure 46,

the helical winding of cellulose about cells in wild type gradually increases going from cortex

to pith leading to variation of microfibril angle. Orientation was seldom observed in the pith,

precluding an estimate microfibril angle. For some of the mutants with sever reduction in

lignin content, orientation is so poor as to preclude any measurement of microfibril angle. For

instance, the dual reflections required for measurement of microfibril angle could only be

observed in xylem region of the ref3-2 mutants. Where measurable, the mean microfibril

angle within the xylem of ref3-2, is about 25⁰, greater than wild type and high S.

The microfibril angle of lignin mutants after 30 days in water was observed to vary

from 15ᵒ to 30ᵒ as well. Except High S mutants exhibiting a microfibril angle distribution

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similar to fresh samples, the measurements of microfibril angle for other mutations of lignin

are precluded.

The microfibril angle exhibits an inverse correlation to oriented fiber content for

individual samples, but that correlation does not appear to hold between samples. In a

comparison of wild type and variants there is no well-defined correlation between microfibril

angle and fiber content. Measurement of microfibril angle is in some cases precluded for

mutants with severe reduction of lignin content. For instance, only small portions of ref3-2

mutant exhibits diffraction patterns with the split reflections required to measure microfibril

angle. The mean microfibril angles in xylem of ref3-2 is about 25⁰, which is greater than that

for WT and high S and suggests that the transverse assembly of cellulose is altered in ref3-2.

Patten et al. (2010) observed that within the interfascicular or vascular tissues of

Arabidopsis stem, the deposition of lignin decreased approaching the pith. Decreasing lignin

concentration correlates with decreased fiber content and increased microfibril angle, but to

what extent there are causal relationships among these three variables is unclear.

5.2.5 Axial Coherence Length

The axial coherence length is a key measurement for the crystallinity of cellulose.

The cellulose fibril within cell wall of real tissues is complex and imperfect crystalline,

because of its extreme length, very large surface area, curvature and tendency to twist, the

crystallinity is imperfect. In the axial direction, the coherence length as estimated by the

breadth of the (0 0 4) reflection in fiber diffraction patterns provides a useful measure of the

degree of imperfection of crystalline. Because of local stretching, twisting and curvature, the

periodicity of a cellulose fibril varies along its length. This leads to a phase difference in the

molecular repeating structure that increases progressively along the length of the fibril. The

coherence length is the distance along the fibril beyond which there is no ordered phase

relationship.

As discussed above, cellulose fibril is imperfectly crystalline within cell wall of

tissues due to the physical constraints placed on them by other cell wall constituents,

interactions with cross-linking polymers and greater degree of curvature of the fibrils. In a

comparison to isolated, purified cellulose crystallites, less well ordered cellulose fibrils

within real tissues have shorter coherence lengths. Therefore the coherence length may

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provide insight into the interactions of cellulose fibrils with other cell wall constituents, and a

change in coherence length may reflect a disruption in those interactions, a perturbation in

the ordered process by which cellulose fibrils are assembled into the cell wall or enhanced

distortion of the cellulose fibrils caused by increased physical constraints due to interactions

with other cell wall constituents. Figure 32Figure 39 in Section 5.2.1 details variation of

coherence length among the tissues of the stem from different samples. The histograms of

the distribution axial coherence lengths for each of the lignin mutants were shown in Figure

47. Figure 48 provides comparison of the maximum (of histogram of) coherence lengths

observed for each of the samples. We observed that in fresh samples only ref3-2 appears to

have a significantly lower coherence length, but high G and high S appear to have slightly

larger average coherence lengths than wild type. This is perhaps suggestive of lignin

deficiency leading to fewer cross-linking constraints on cellulose fibril structure. Coherence

length decreased for all samples exposed to water for 30 days except for ref3-2. Coherence

length of ref3-2 is very low in fresh sample but appears to increase on storage in water —

perhaps through the relaxation of cross-linking constraints on it by other polymeric structures.

Interestingly, there is no direct correlation between the coherence length and fiber content for

the lignin mutants studied here.

In practice, the (0 0 4) reflections from the un-oriented fraction of cellulose are weak

and broad, making accurate measurement of coherence length difficult. Although we could

also in principle calculate the coherence length using curves similar to those in Figure 42, we

prefer to give a qualitative analysis. From a qualitative aspect, the curves suggest that the

coherence length is significantly less than for the oriented fraction of cellulose. In all

likelihood, this reflects the greater curvature expected in the unoriented fraction.

5.2.6 Packing of cellulose fibrils

Structural information about features ranging from 25 Å to 100 Å in size could be

extracted from the small angle region of the diffraction patterns. The intensity distribution in

this region corresponds to the scattering from individual cellulose fibrils and their relative

positions. When the fibrils are arranged in an organized fashion, regularly spaced side-to-

side, the intensity is modulated by an 'interference function' that provides information on the

spacing of fibrils in the material (Inouye, 2014; Thomas, 2013; Kennedy, 2007). Figure 49

contains an enlargement of the small angle region of exposure 61 and equatorial traces for

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exposures 15, 30, 45 and 61, the intensity distribution in the small angle region varied from

the exterior to the interior of stem of a WT sample. A specific modulation of the small angle

scattering intensity with peak at 1/d ~ 0.017 Å-1 was observed from the exposure taken from

a diffraction pattern of a region immediately adjacent to the pith. This distinct modulation

suggests that the fibrils are spaced with a nearest neighbor distance of approximately 60 Å.

The observation of this interference near the pith is unexpected because this is the region of

the stem with the lowest (observable) oriented fibril content. The low fiber content indicates

that the region must be highly heterogeneous, with the small fraction of oriented fibrils well-

ordered in spatially confined regions.

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Figure 40 A longitudinal section of Arabidopsis stem was studied by SXMD. a. optical image contains

a blue rectangle corresponding to the region scanned within stem. The grid includes three rows and

160 columns, each grid point being 5 μm square, making the grid 800x15 μm. A complete

microdiffraction pattern was taken at each grid point. b. Fiber content, microfibril angle and axial

coherence length as calculated from the diffraction patterns collected by scanning the rectangle in (a)

and plotted as a function of position across the stem. Data from all three rows are plotted. c.

Enlargement of microdiffraction patterns from selected regions of the scan. Selected regions

correspond roughly to the cortex, xylem and close to pith.

Figure 41 Diffraction patterns were separated into circularly symmetric (red and white in diagram to

right) and oriented fractions (green in right) using intensity at the scattering angle with greatest

intensity (the position of the (2 0 0) reflection marked as a circle in the scattering pattern to the left).

c

… … … … Positio Position

8 13 18 23 56 62

Position 1 Position 160

a b

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Figure 42 Example from high S shows separation of circularly symmetric and oriented intensities. A

pattern from the High S sample demonstrates how oriented (top, middle) and unoriented (bottom,

middle) fractions were separated. The intensities were then plotted as a function of spacing 1/d

(roughly proportional to scattering angle) for the oriented (top right) and unoriented (bottom right)

fractions. The oriented portion includes well defined (1 1 0)/(1 -1 0), (2 0 0) and (0 0 4) reflections

characteristic of scattering from cellulose 1. The unoriented fraction had an intensity distribution

rather different from that expected for cellulose and probably represents a sum of scattering from all

constituents of the tissue minus that from the oriented cellulose fibrils.

High S (pattern

18)

0 0.1 0.2 0.3 0.40

1

2

3

4

5x 10

4

1/D

Inte

nsity

0 0.1 0.2 0.3 0.40

1

2

3

4

5x 10

4

1/D

Inte

nsity

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Figure 43 Comparison of the highest oriented fiber content observed in each sample. The samples

dried 3 days after harvest are shown in blue bars. The red bars corresponds to samples dehydrated

after storage in water for 30 days.

Figure 44 Eight Arabidopsis variants show intensities of the strongest equatorial reflections of cellulose

I. In each case, the trace of intensity corresponds to that position in the sample that exhibited the

highest proportion of oriented cellulose fiber content. Intensities were normalized over the range 0.1-

0.3 Å-1

for comparison.

0

5

10

15

20

25

30

hig

he

st F

iber

co

nte

nt(

%) 3 day

30 day

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Figure 45 Depiction of cellulose fibrils helically wrapped around a plant cell (left). Projection of

cellulose fibrils from front and back produce a double-orientation (center) that expresses itself in diffraction

patterns as a split or double diffraction pattern (right).

Figure 46 Increase of microfibril angle indicates alignment of cellulose fibrils tend to transverse from

the periphery of the stem to the center. The microfibril angle increases from the periphery of the

stem to the center, reflecting a change in the way cellulose fibrils coil around cells. Largest

microfibril angle is observed in regions of lowest oriented fibril content as can be seen in the plots in

the upper left. The grid within the optical image shows the region scanned and identifies positions

with fibril orientation corresponding approximately to the diagrams at the bottom of the figure.

Position 1 Position 160

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Figure 47 Samples dried fresh and after 30 days in water display different histogram of axial

coherence length. (a) Histogram of axial coherence length for samples dried fresh and after 30 days

in water. The axial coherence length differs across the stem, tending to be largest in the vascular

tissues. (b) Gaussian curves fit to each of the histograms in (a) suppress the effect of random

variations and facilitates visual comparisons among the samples.

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Figure 48 Comparison of maximum coherence lengths for each of the 16 samples. This is a

compilation of the peak positions of the smoothed curves shown in Figure 47b.

0

50

100

150

200

250

300

Axi

al C

oh

eren

ce L

engt

h(Å

-1)

3 day

30 day

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Figure 49 Modulation of small angle scattering by interference due to packing of cellulose fibrils was

unexpectedly observed to be strongest in the region near the pith. (a) optical image of stem, the grid

containing 3x160 points corresponds the position of the microdiffraction scan. (b) the distribution of

fiber content and microfibril angle across the stem. (c) Diffraction pattern collected at position 61

close to the pit exhibits a strong modulation of small angle scattering (inset) attributed to partially

ordered packing of cellulose fibrils. (d) Comparison of intensity at small angle region for four

positions from epidermis to pith, and exhibiting the modulation at ~ 0.017 Å-1

due to interference.

15 30 45 61

a

c d

b

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5.3 Discussion

The assembly of cellulose and lignin having a complex interdependency appears to be

essential to the intricate nanoscale architecture required for cell wall integrity, strength and

resiliency. Nevertheless, the possibility of indirect effects and individual variations obscure a

demonstration of this interdependency. By querying all stem tissues and multiple individual

plants with ~16,000 diffraction patterns we sought to minimize the potential impact of

individual variation and tissue-specific effects. The studies of Arabidopsis variants by

SXMD exhibits the systematic and reproducible differences in cellulose structure with altered

lignin metabolism and provide compelling evidence of the dependence of cellulose

architecture on lignin composition.

The vegetative apparatus of Arabidopsis is a ground rosette that develops a lignified

flowering stem (Dharmawardhana, 1992). Besides the xylem vessels, which are lignified, the

interfascicular parenchyma of the flowering stem differentiates into highly lignified fibers

with growth. Under certain growth conditions, lignins in Arabidopsis can represent up to 18%

of the dry weight of the extractive-free mature stem and are typical of angiosperms since they

contain both S and G units (Dharmawardhana, 1992). Phenotype could be significantly

changed by altering the lignin composition of the stem (Meyer, 1996; Meyer, 1998; Turner

and Somerville, 1997; Goujon, 2003; Schilmiller, 2009; Bonawitz, 2014; Ruegger, 1999;

Chapple, 1992). These phenotypic alterations are obvious in the whole plant and at the level

of electron microscopy which reveals in some variants wholesale disruption of the cell wall

structure and collapse of the vascular tissues. Finer-scale disruptions have not been fully

unexplored. How do the molecular changes that enforce these phenotypic changes associate

with normal lignin synthesis? By using scanning x-ray microdiffraction of lignin variants we

sought to reveal the changes in cellulose architecture triggered by alterations in lignin

composition and assembly.

5.3.1 Mutations in the lignin biosynthetic pathway affect deposition and degradation of

cellulose

The cell wall within the vascular tissue contains higher fiber content in the

Arabidopsis stem, perhaps the parenchyma, the region between xylem and phloem, exhibits

the largest fiber content. Variants with high G, high H and aldehyde exhibit maximum fiber

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content comparable to that of WT. Modest reduction of maximum fiber content has been

observed in plants with abnormally high S lignin. However, the ccr and ref3-2 mutants

display a significant decrease of maximum fiber content (Figure 43). Turner et al. (Turner

and Somerville, 1997) and Goujon et al. (Goujon, 2003), reported a reduction of cellulose

content in the stem was induced by the ccr mutants, consistent with our results. Similarly, the

ref3-2 variant exhibits lower lignin and cellulose content in the secondary cell wall

(Schilmiller, 2009), as reflected here. These observations indicate that lignin is essential to

the deposition of cellulose fibril within the plant cell wall. The subnormal deposition of

cellulose fibrils in ccr and ref3-2 may be a factor in the observed dwarfism of these plants.

Aldehyde, aldehyde in G and high H mutants have lower lignin content but exhibit

the highest observed fiber content of these mutants comparable to wild type in fresh sample.

Nevertheless, after 30 days in water, a significantly lowered content of oriented cellulose

fibrils was observed for thin sections of these plants, indicating that the lowered lignin

content has increased their susceptibility to degradation processes. In contrast, plants with

high G or high S show no significant alteration in fibril content after 30 days in water. This

indicates that lignin expressing high levels of G or S subunits may prevent cellulose fibrils

from the relevant degradative processes.

5.3.2 Mutated lignin changes the orientation of cellulose fibrils

Micro x-ray technology has been used to study the variation of microfibril angle

( Lichtenegger et al 1999) . The microfibril angle is thought to reflect the helical arrangement

of cellulose microfibrils around the plant cell. Emons and Mulder (1998) and Lichtenegger et

al., (Lichtenegger, 1999) described how the helical geometry of the architecture of the plant

cell determines the microfibril angle. The micorfibril angle is measured as half the angle

between the split reflections of cellulose (see Figure 45&Figure 46). The microfibril angle

represents the tilt of cellulose fibril relative to long axis of the stem. The average tilt of

cellulose fibrils in the vascular tissues is never more than ~ 30⁰ in these variants. For

comparison, the maximum tilt of cellulose microfibrils in roots of Arabidopsis was reported

to be ~45⁰ (Burk, 2002; Anderson, 2010).

Turner and Somerville (1997) reported that deposition of lignin within the plant cell

wall for Arabidopsis stem decreases as one approaches the pith. Liu et al. (2013) noted

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correlation among the reduction of lignin content in cell wall and a decrease in fiber content

which inversely correlates with changes of microfibril angle in Arabidopsis stem. The

correlation in wild type suggests that lignin may be essential for anchoring cellulose

microfibrils within the polysaccharide matrix at appropriate tilts relative to the stem axis.

The structural resilience of cell walls may be reduced by the disruption of lignin synthesis.

WT plants and those over-expressing S-lignin contain well-ordered cellulose

microfibrils exhibiting obvious oriented scattering for measurement of fibril reflections. By

contrast, in the mutants with severe reduction of lignin content, the degree of orientation was

inadequate for estimation of fibrillar angle. Interestingly, where measurable, the mean value

of microfibril angle in these mutants is considerably larger than others.

5.3.3 The regularity of cellulose fibrils varied with lignin mutants

Coherence length gives an important clue for understanding the integrity of cellulose

fibrils within plant cell walls. Figure 47 and Figure 48 exhibit the range of variation of

coherence lengths within these samples. The most obvious reduction in coherence length is

observed in ref3-2, a plant with severe lignin deficiency (Schilmiller et al, 2009). It is

possible that the curvature of the fibrils may give rise to the lowered coherence length. These

observations support the notion that lignin plays a key role in maintaining proper assembly of

cellulose fibrils within cell walls. Cellulose fibrils may not keep their integrity without cross-

linking by lignin. Disordered cellulose fibrils may be an underlying contributor to the

extreme dwarfism displayed by this plant. Another mutant with lignin deficiency, ccr,

exhibits relatively high coherent length compared to ref3-2, about 210Å, which is comparable

to WT. Lower oriented fiber content was observed in Both ref3-2 and ccr. The implication is

that lowered lignin content disrupts the natural order of cellulose fibrils within the cell wall.

The coherent lengths of high S and G plants appear to be similar to wild type. The

aldehyde mutations show lower coherent length to wild type, but greater than ref3-2. This

indicates that cellulose fibrils are disordered, and probably highly curved in aldehyde and

high H plants. This result may alter physical properties of the cell walls, lowering stiffness of

cell wall and leading to limp floral stem.

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5.3.4 Packing of cellulose fibrils

The well-organized side-to-side packing of cellulose fibrils in WT samples may give

rise to interference at small angles, as shown Figure 49. The interference was observed in a

region adjacent to the pith. The scattering volume corresponding to the interference indicates

that cellulose fibrils packed with a center to center distance of ~ 60 Å. Langan et al. (Langan,

2014) reported that the result of molecular dynamic simulations suggest formation of larger

fibrils of diameter of 60-70 Å with the reduction of lignin. The interference reported here is

not consistent with the coalescence of fibrils and presumably reflects a distinct phenomenon.

It is interesting to notice that interference reflections are not observed in scattering from

lignin mutants overexpressing the S and G subunits.

Small angle reflections at a spacing of ~39 Å are observed in high H and ccr1

samples. This reflection is close to that expected for paraffin. It is possible that paraffin

deposition as well as cellulose may be affected by lignin mutations, but we have not explored

this possibility in detail. Complete interpretation of this small scattering requires more

experiment data and chemical analysis in future.

5.3.5 Molecular architecture in the stem of lignin mutants

In section 5.2.1, data on the oriented fiber content, microfibril angle and axial

coherence lengths are presented for 16 samples. The combinations of those charts enable us

to have a comprehensive overview of the tissue-specific variations in these properties among

the samples. Individual variations are inevitable in comparisons of these types, but replicate

experiments indicated that the overall trends reported here are representative. Oriented fiber

content appears to be comparable for wild type and variants. Disruption of lignin biosynthesis

resulted in either a decrease in the proportion of oriented cellulose fibrils, or no apparent

change. Plants with high G or high S behaved quite similar to wild type, with high S having,

perhaps, somewhat lower oriented cellulose fiber content. Interestingly, average axial

coherence of high G or high S are comparable or slightly higher than that of wild type.

Aldehyde-containing lignins and high H plants also had similar fiber content to WT, but

displayed significant sensitivity to degradation during storage in water. A broader distribution

of axial coherence lengths for aldehyde-containing lignins and high H plants indicate

inhomogeneity in the spatial constraints on cellulose organization. ccr and ref-2 had lower

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oriented fiber content than wild type. ccr and ref3-2 in water for 30 days show little change in

oriented fiber content. However, their axial coherence lengths increased after storage,

especially that of ref3-2 which increased significantly. These observations indicate that the

axial periodicity of cellulose fibrils in these samples is maintained with more precision than

WT. One explanation for this observation would be that cross-links among cellulosic

structures in WT plants may disrupt the precise repetitive structure of cellulose; whereas in

ref3-2 the cross-links may be disrupted, allowing the cellulose to relax and take on a more

periodic structure.

The impression is that the disruption of lignin biosynthesis may have impact on either

the assembly of cellulosic structures within the plant cell walls, or resilience of these

structures to degradation.

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Chapter 6

Study of structural variation of Amyloid (Aβ) fibril within

brain tissue of AD subjects

The molecular mechanisms of the nucleation and growth of Alzheimer’s disease(AD)

lesions and their spread throughout the brain during disease progression are poorly

understood. Recent studies indicate that Aβ amyloid is capable of self-propagation and that

multiple strains may exist (Petkova et al, 2005; Lu et al, 2013; Watts et al, 2014). This may a

key feature of the mechanisms leading to disease progression and tissue lesions. Here we

demonstrate the use of scanning X-ray microdiffraction (SXMD) to detect structural

differences among fibrils in intact amyloid plaques in histological sections of human brain

tissue from Alzheimer’s Diseases(AD) subjects.

6.1 Method for studying on the brain tissue by SXMD

6.1.1 Background subtraction for patterns of SXMD

Brain samples from AD subjects were fixed with formalin, embedded in paraffin,

sliced to 18 µm thickness using a microtome and then treated with xylene and ethanol to

remove the paraffin. This part of the sample preparation was carried out by Isabel Costantino

(MGH). These sections were subsequently attached to 20 µm thick mica windows; and

mounted on a sample holder compatible with the goiniometer at GM/CA (beam line 23IDB at

the Advanced Photon Source). To ensure no visible radiation damage to the samples, we

limited exposure time to 1 sec. These restrictive experimental conditions lead to diffraction

patterns that exhibited relatively low signal to noise ratios. Therefore, data analysis methods

focused minimizing the impact of the noise and accurately subtracting background scattering

from the diffraction patterns.

Background scattering was largely due to scattering from air (between sample and

detector) and the mica window. Mica is a highly crystalline mineral that occasionally gave

rise to strong Bragg reflections within patterns. But the relative absence of small angle

background or diffuse wide-angle rings makes mica an attractive substrate on which to mount

the samples. We developed and applied automatic image processing methods for spot

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detection and elimination, in order to minimize the impact of mica scattering on the data used

for analysis of amyloid structure.

Figure 50 shows that the strong reflections from mica window could be extracted

from the diffraction patterns by use of an intensity threshold filter. We first masked the mica

scattering in the diffraction pattern to ensure complete elimination of the scattering from

mica, which is much stronger than the scattering from tissues. Once masking was complete,

the intensity from tissue at the position of the mica spots (that had been eliminated) were

estimated by a 2-dimensional polynomial fitting routine that utilized peripheral scattering

from tissues to interpolate the intensity of these regions. Since most all scattering from these

tissues was circularly symmetric, the one dimensional, circular average of each pattern was

calculated and then used for further analyses.

The intensity distribution from each pixel in the SXMD scan is made up of :

scattering from amyloid (the unknown of interest); scattering from tissue; scattering from

mica; and scattering from air and camera components. The intensity in each pattern was

estimated as a linear combination of scattering from regions of tissue and scattering from air

and camera components:

A+B=1

I is the circular averaged intensity of one diffraction patterns of SXMD. is the

normalized intensity for scattering of tissues (green curve in left image of Figure 52),

is the normalized intensity for scattering of air and mica (blue curve in left image

of Figure 52).

6.1.2 Identification of accumulation of Aβ fibril by SXMD

The possible aggregation of plaques within the brain sections could be determined by

the integral intensity map of small-angle scattering, as shown in Figure 54. The plaques of

amyloid will introduce a small-angle reflection which is not present in scattering from tissue

that is lacking plaques. Therefore, the map of integral intensity at 0.06 Å-1-0.1 Å-1 shows the

potential position of amyloid plaques.

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6.1.3 The Krakty plot of small angle diffraction

The subtle changes of small angle reflections indicate the structure variation of

plaques (Figure 55). The Krakty plots provide an enhancement of relatively small

differences between the small angle reflections of different plaques. The Krakty plot exhibits

the distribution of (

)

vs

, where the 1/d corresponds to the reciprocal spacing, the

I(1/d) is the scattering intensity at 1/d spacing.

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Figure 50 Eliminating the scatterings from mica window

Mica windows, that hold the sample for SXMD produces significant diffraction peaks overlapping the

diffraction patterns from tissues. We apply the image processing method described in the text to eliminate

the mica scattering.

Figure 51 Scattering from brain tissue.

Scattering from tissues (green box) was determined by subtracting the background which was chosen as the

scattering from the empty interior of void blood vessels (white box).

r θ

Pixel

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Figure 52 Extraction of intensity of tissues from pattern including strong background. Right:

Comparison of scattering from background tissue (green) and tissue containing amyloid (blue and

red) Left: Scaled curves from background only and tissue only. The right image demonstrates that

the ratio of background for diffraction from this tissue could be estimated by the linear combination

approach described in the text.

Figure 53 The intensity distributions after background subtraction for SXMD on control tissue. The

left image exhibits the 2500 intensity distributions. The right images shows the mapping of integral

intensity at small angle indicating the potential plaque rich region within tissue.

Pixel

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Figure 54 Image of scanning features from section of Alzheimer Disease sample. Optical image and

corresponding intensity mapping is shown at left. Center (color) image is a mapping of diffraction

from region marked by black square. The right image shows one example of the circularly averaged

intensity in which the small angle region used to generate the mapping is indicated in solid red.

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Figure 55 Krakty plots of small angle reflection for plaques accumulated region. The intensity

mappings (top) show the distribution of small angle reflections (upper left) and 4.7Å scattering

(upper right), features expected from Aβ reflections. The intensities plotted in the bottom figure, are

colored to correspond to the positions marked by arrows in the mappings. The small angle spacing

was enlarged for the region highlighted in the inset. The Krakty plots (bottom right) are color coded

similarly.

Krakty Plot

Mapping of small angle reflection Mapping of 4.7 Å reflection

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6.2 Results

Characterization of a 250x250 μm field of view in tissue samples utilized 50x50

(2500) diffraction patterns taken with a 5μm x-ray beam. We examined samples from

subjects with Alzheimer's Disease (AD), Alzheimer's disease with cerebral amyloid

angiopathy (AD_CAA), no symptoms of cognitive decline but heavy plaque burden

(mismatch), and healthy older patients who exhibited no cognitive decline at time of death

(control), collecting more than 40,000 diffraction patterns. Our results on human brain tissue

demonstrate that detailed characterization of the structure of Aβ fibrils in amyloid is possible

using x-ray scattering from thin sections of brain tissue.

As mention above, features in the x-ray patterns from SXMD can be used to map the

distribution of molecular constituents and their structural characteristics. Eanes and Glenner

(Eanes and Glenner, 1968)studied amyloid fibers from systemic amylidoses and determined

that the constituent proteins took on a cross-beta conformation. Kirschner and his colleagues

(1986) demonstrated that amyloid from subjects with Alzheimer Disease also exhibited a

cross-β conformation as indicated by scattering features from the purified sample that

ehxibited a sharp reflection at 4.7 Å and a diffuse one about 10 Å. We characterize these

scattering from cross-β conformation in fiber as the scattering 'fingerprint' of amyloid. These

characterizations support the capability of SXMD for identifying regions of a thin section

containing amyloid with no need for staining. But, instead of sharp reflections, two diffuse

bands at ~4.6Å and ~10Å have been observed. As Figure 56 shown, reflections at ~4.6Å are

stronger than one at ~10Å, but much diffuse compared to a purified sample. Scanning micro-

diffraction exhibits stronger small angle scattering at some regions of brain section,

distributed in such a way that it may relate to amyloid plaques. The intensity mapping shown

in Figure 58 identifies the positions of these material aggregations, which may or may not be

observable in optical images. Figure 59 also exhibits a distinctive reflections at ~62.5Å, the

reflection may correspond to lipid had been reported in Kirschner et al. 1986 (Kirschner,

1986). However, the treatment with xylene and ethanol may have removed all lipidic material

from the samples prior to x-ray exposure.

We observed that the regions of strong small angle scattering identified as potential

plaques of Aβ tend to accumulate around the blood vessels. The distinctive 4.7 Å and 10 Å,

scattering observed in these regions around vasculature are representative of the fingerprint

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reflections of extracted Aβ plaques (Figure 56). We observe significant small angle

reflections that correlate to the characterized Aβ scattering. In some cases, the scattering from

small angle region exhibits distinctly different distributions. These differences may be related

to different strains of Aβ.

As shown in Krakty plot of Figure 55, the 250x250 μm scan from the amygdala of a

control subject exhibits several putative plaques according to the distribution of SAXS

intensity. These plaques appear to exhibit three distinct classes of structure as judged by their

SAXS intensities and Krakty Plot of SAXS. This indicates that brain tissue of an 86 year old

control subject with no history of dementia may contain distinct structures from proximal

amyloid plaques surrounding the blood vessel. Presence of amyloid plaques was confirmed

by neuropathological analysis and immuno-histochemical studies.

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Figure 56 the left image shows the background subtracted diffraction pattern. The right image show

the circular averaged intensity, two reflection at ~10Å (yellow arrow) and ~4.6Å (green arrow).

Figure 57 The montage of integral intensity for small angle and reflection at 4.7Å. The regions studied is marked

by a black square in the optical micrograph in (a). A longitudinal section of a small blood vessel is apparent in

the upper left portion of the region of interest. (b) is the mapping of small angle scattering intensity from the

2500 diffraction patterns that were collected from that region. (c) is a mapping of the correlation coefficient

beween each scattering pattern and the average of several selected from the most intense region of small angle

scattering to the left of the blood vessel.

0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5

0

10

20

30

40

50

60

70

80

90

100

a b c

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Figure 58 the integral intensity maps from different brain samples. The upper left is control sample.

the upper right is AD sample. the lower left is AD-CAA sample. the lower right is a sample from a

subject with Pick's disease.

10 20 30 40 50

5

10

15

20

25

30

35

40

45

50

10 20 30 40 50

5

10

15

20

25

30

35

40

45

50

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Figure 59 Unusual small angle reflections. The upper left is an optical micrograph of the sample, the

up-right is the corresponding integral intensity map. The lower left is s diffraction pattern, the lower

right is an enlargement of the small angle region exhibiting the 62.5 Å spacing diffraction peak.

AD + CAA

INT at 62.5/6.66 A

5 10 15 20 25 30 35 40

5

10

15

20

25

30

35

40

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6.3 Discussion

As shown in Figure 59, scanning microdiffraction of human brain exhibits relatively

high small-angle intensity in regions with rich amyloid plaque. A 4.7 Å reflection, a

prototypical reflection from amyloid fibrils, was observed, however, slightly weaker and

more diffuse than from extracted amyloid fibrils (e.g. Kirschner et al., 1986). At small angle

region, we occasionally observe a feature at ~ 62.5 Å as well, which may correspond to

lipofuscin (Kirschner et al., 1986). These results indicate the amyloid fibril structure within

real brain tissue may not be as rigid as amyloid extracted samples. Aβ amyloid is predicted to

be capable of forming multiple strains, each of which may be capable of self-propagation

(Malinchik et al, 1998; Petkova et al, 2005; Lu et al, 2013; Watts et al, 2014). Figure 60

exhibits ssNMR-based models of distinct amyloid strains (Petkova et al, 2002 and 2005)

calculated using CRYSOL (Svergun, 1995). Amyloid fibrils with structures as constructed

from PDB files 2LMP (blue); 2M4J (red); 2LMN (black) are predicted to give rise to small-

angle (SAXS) data with distinctive features that should be readily distinguished. These

differences may be examples of the kinds of differences apparent in the Krakty plots from

different plaques as described in Figure 55.

Scanning x-ray microdiffraction provides a very rich source of data on the details of

molecular organization. Extending the approach used here to fresh frozen tissue may provide

a powerful new strategy for understanding the underlying molecular foundation of

Alzheimer's disease. We have demonstrated that scanning x-ray microdiffraction (SXMD)

can detect structural differences among fibrils in intact amyloid plaques in histological

samples of human brain tissue from Alzheimer's Disease (AD) subjects. The results of these

experiments will provide a basis for estimating the frequency of distinct nucleation events in

amyloid formation and dissemination; the relationship between amyloid in different regions

of the brain; the correlation of amyloid strains among proximate plaques; the origin of

amyloid associated with vasculature in CAA; the relationship between amyloid at the core of

plaques and their margins; and the relationship between plaques and associated oligomers.

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Figure 60 SAXS intensity for three amyloid fibrils models. The three models constructed on the basis

of subunit structures determined by ssNMR – pdb files 2LMP, 2M4J, 2LMN.

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Chapter 7

Future of SXMD

Advanced synchrotron facilities provide much of the technology for scanning X-ray

microdiffraction, opening the possibility of comprehensive studies of complex materials

aimed at understanding the underlying molecular foundations of hierarchical materials.

Compared to traditional x-ray scattering methods that use millimeter-sized x-ray beams and

average scattering from all material within samples, scanning x-ray microdiffraction provides

extensive information on the order and characteristics of crystalline and non-crystalline

material.

For studies of real tissues, SXMD provides an opportunity to understand molecular

structural information on µm length scales. This extends research range of structural biology,

and introduces the opportunity to study the molecular anatomy of tissues, generating high

resolution information with sub-cellular point-to-point resolution. Another advantage of

SXMD is that sample preparation is easier than other methods for structural biology. In lieu

of strictly limitation on sample thickness for transmission electron microscopy (TEM), less

than 1 µm to avoid multiple scattering, SXMD can scan tissues with µm – mm thickness.

Therefore, SXMD appears to be able to fulfill the research gap for structural biology between

optical microscopy and TEM.

We have shown that scanning microdiffraction applied to myelinated axons, plant

stems and brain sections provides significant information on the heterogeneity of molecular

structure in these complex tissues. In the future, reduction of beam size to ~ 0.5 μm should

enable us obtain detailed molecular information at significantly higher resolution.

But scanning complex tissues with micro-beams produces thousands of times the data

collected by traditional methods; data rich in information about the molecular architecture of

the tissue. It is not unusual for a scanning microdiffraction data set to exceed 10 GB, or,

depending on the sample and the specific questions asked, over 100GB. To generate this data

requires automatic data capture and data analysis methods. To extract information from this

data requires automatic programs that can extract a wide variety of image features from each

pattern. Nevertheless, there is no well established program or algorithm designed to solve

very distinctive problems, that are commonly encountered due to artifacts from facility and

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special sample preparation. For instance, camera elements count for beam stop, mica sheet —

sample holder for brain section, induce very strong scattering to overlap our real data.

Therefore, a specific program is necessary for SXMD analysis.

My Ph.D. project focused on developing the unique custom software to

automatically extract information about molecular features at the nanoscale from scanning

microdiffraction data. The development of computation methods combines traditional X-ray

methodology and modern image processing algorithms. The studies of myelin sheath,

Arabidopsis and AD subjects by SXMD demonstrate that my custom algorithms perform

well and efficiently for extraction of structural information from microdiffraction patterns.

Based on these engineering tools and crystallography methods, we should be able to extend

these approaches to a wide range of complex tissues.

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