Upload
others
View
2
Download
0
Embed Size (px)
Citation preview
Nano Res
1
Tracking morphologies at the nanoscale: self-assembly
of an amphiphilic designer peptide into a double helix
superstructure
Karin Kornmueller1, Ilse Letofsky-Papst2, Kerstin Gradauer1, Christian Mikl1, Fernando Cacho-Nerin3,†,
Mario Leypold4, Walter Keller5, Gerd Leitinger6,7, Heinz Amenitsch3, and Ruth Prassl1 ()
Nano Res., Just Accepted Manuscript • DOI 10.1007/s12274-014-0683-9
http://www.thenanoresearch.com on December 8, 2014
© Tsinghua University Press 2014
Just Accepted
This is a “Just Accepted” manuscript, which has been examined by the peer-review process and has been
accepted for publication. A “Just Accepted” manuscript is published online shortly after its acceptance,
which is prior to technical editing and formatting and author proofing. Tsinghua University Press (TUP)
provides “Just Accepted” as an optional and free service which allows authors to make their results available
to the research community as soon as possible after acceptance. After a manuscript has been technically
edited and formatted, it will be removed from the “Just Accepted” Web site and published as an ASAP
article. Please note that technical editing may introduce minor changes to the manuscript text and/or
graphics which may affect the content, and all legal disclaimers that apply to the journal pertain. In no event
shall TUP be held responsible for errors or consequences arising from the use of any information contained
in these “Just Accepted” manuscripts. To cite this manuscript please use its Digital Object Identifier (DOI®),
which is identical for all formats of publication.
Nano Research
DOI 10.1007/s12274-014-0683-9
TABLE OF CONTENTS (TOC)
Tracking morphologies at the nanoscale: self-assembly
of an amphiphilic designer peptide into a double helix
superstructure
Karin Kornmueller1, Ilse Letofsky-Papst2, Kerstin
Gradauer1, Christian Mikl1, Fernando Cacho-Nerin3,†,
Mario Leypold4, Walter Keller5, Gerd Leitinger6,7, Heinz
Amenitsch3, and Ruth Prassl1*
1Medical University of Graz, BioTechMed-Graz, Austria
2Graz University of Technology and Graz Centre for
Electron Microscopy, Austria
3,4Graz University of Technology, Austria
5Karl-Franzens-University Graz, Austria
6,7Medical University of Graz, Austria
†Present address: Diamond Light Source, United Kingdom
We tracked the concentration-dependent morphologies of an
amphiphilic designer peptide by combining small angle X-ray
scattering (SAXS) with Cryo-TEM and provide a detailed
global characterization of the supramolecular assemblies, as
well as insights into the internal organization at the
low-nanometer range. For the first time, a stable double helical
architecture within the class of amphipathic designer peptides is
presented, which holds promise as template for innovative
bioinspired nanomaterials.
Tracking morphologies at the nanoscale: self-assembly
of an amphiphilic designer peptide into a double helix
superstructure
Karin Kornmueller1, Ilse Letofsky-Papst2, Kerstin Gradauer1, Christian Mikl1, Fernando Cacho-Nerin3,†,
Mario Leypold4, Walter Keller5, Gerd Leitinger6,7, Heinz Amenitsch3, and Ruth Prassl1 ()
Received: day month year
Revised: day month year
Accepted: day month year
(automatically inserted by
the publisher)
© Tsinghua University Press
and Springer-Verlag Berlin
Heidelberg 2014
KEYWORDS
Double helix, amphiphilic
designer peptide,
self-assembly, SAXS,
TEM, spectroscopy
ABSTRACT
Hierarchical self-assembly is a fundamental principle in nature, which gives
rise to astonishing supramolecular architectures that offer an inspiration for the
development of innovative materials in nanotechnology. Here we present the
unique structure of a cone-shaped amphiphilic designer peptide. When
tracking its concentration-dependent morphologies, we observed elongated
bilayered single tapes at the beginning of the assembly process, which further
developed into novel double-helix-like superstructures at increased
concentrations. This architecture is characterized by a tight intertwisting of two
individual helices, resulting in a periodic pitch size over their total lengths of
several hundred nanometers. Solution X-ray scattering data revealed a marked
2-layered internal organization. All these characteristics remained unaltered for
the investigated period of almost three months. In their collective morphology
the assemblies are integrated into a network with hydrogel characteristics. Such
a peptide based structure holds promise for a building block of next-generation
nanostructured biomaterials.
Address correspondence to Ruth Prassl, [email protected]
Nano Research
DOI (automatically inserted by the publisher)
Research Article
1. INTRODUCTION. Nature offers elegant and
efficient ways to create highly organized systems
over several orders of magnitude by hierarchical
self-assembly. This basic principle has been
mimicked with the design of synthetic amphiphilic
molecules in order to create novel materials [1-3].
Our study is focused on the class of short
amphiphilic designer peptides. These molecules are
exclusively composed of amino acids and exhibit
lengths of 4-10 residues. As their basic characteristic,
they contain antagonistic hydrophilic and
hydrophobic residues within the same molecule [4].
Self-assembling amphiphilic designer peptides have
been explored as building blocks for the
development of controllable, tailor-made,
biocompatible nanomaterials only recently. Due to
their simplicity yet variability, there lies a huge
scientific as well as economic potential in this class
of molecules. Applications span the range from
material sciences to chemistry and nanotechnology,
and are of particular interest in nanomedicine due
to the peptides’ biocompatibility and
biodegradability [5-7]. A constantly increasing
global demand in innovative materials makes the
elucidation of their assembly mechanism highly
important.
A variety of supramolecular peptide-based
architectures has been reported so far, including
vesicles [8-10], spherical micelles [11-13], bilayered
tapes [14,15], donuts [16], helical and twisted
ribbons [11,12,17,18], fibers [12-14,18,19], rods
[14,19,20] and tubes [8-11,17,21,22]. Here we report
on a new structural motif that can be added to the
list of assemblies - for the first time a
double-helix-like morphology could be observed.
Only a few studies approached the elucidation of
supramolecular peptide-structures with scattering
techniques so far [11,17-19,21] and none of the
reported peptides showed the propensity to form
double helices. We used small angle X-ray
scattering (SAXS), complemented with transmission
electron microscopy (TEM), to investigate the
different morphologies of nanostructures derived
from varying concentrations of the amphiphilic
designer peptide GAAVILRR. It is important to
emphasize, that both techniques are operating in
different length scales and therefore give insights
into different parts of the assembled nanostructures.
SAXS allows to monitor the self-assembly of
biomolecules in solution without the need of
immobilization, labeling, or any other modification.
It provides a detailed insight into the internal
organization of structures in the low-nanometer
range (~ 3-60 nm) and therefore can be used to
describe the cross-section of extended structures in
high detail. Longitudinal extensions, which often
exceed the nanometer range, are well resolved with
TEM. In combination, both techniques give a
detailed picture of the individual structure as well
as the collective morphologies in solution.
Our data indicates that peptide concentration
directly relates to the morphology, order, and
complexity of the assembled structure. With
increasing peptide concentration we monitored
transitions from monomeric systems to elongated
single and double tapes and finally to
double-helix-like structures.
2. RESULTS AND DISCUSSION. The newly
designed amphiphilic peptide GAAVILRR is
composed of eight amino acid residues providing a
hydrophilic head and a hydrophobic tail. The head
consists of two bulky positively charged arginine
residues, whereas the tail is composed of aliphatic
amino acids with consecutively increasing
hydrophobicity. The N-terminus is acetylated,
keeping it uncharged. The C-terminus is amidated,
resulting in an overall charge distribution of two
positive net charges. The counter ion is
trifluoroacetate. Figure 1 illustrates the structure of
a monomer. Lyophilized samples of varying
concentrations were dissolved in water, resulting in
optically clear, homogeneous, colorless solutions.
The highest concentration (75 mM) exhibited a
www.theNanoResearch.com∣www.Springer.com/journal/12274 | Nano Research
3 Nano Res.
gel-like appearance. In order to obtain fully
developed structures, the samples were aged for 1
week. The molecule’s amphiphilic nature endows a
strong self-assembling ability in aqueous solution
above the critical aggregation concentration (CAC).
For GAAVILRR the CAC was estimated by
fluorescence depolarization [23] to be about 30 mM
in water (see Electronic Supplementary Material
(ESM), Fig. S1).
Figure 1 Molecular model of the amphiphilic designer-peptide
Ac-GAAVILRR-NH2. The hydrophobic tail is composed of
amino acids with consecutively increasing hydrophobicity and
size. Two arginine residues provide the positively charged
hydrophilic head. Peptide modifications include acetylation of
the N-terminus and amidation of the C-terminus. The
monomer’s length is approximately 3 nm and its widest lateral
extension is around 1.5 nm. The overall structure of the
molecule looks like a cone. Color code: green: carbon, blue:
nitrogen, gray: oxygen, and white: hydrogen.
Synchrotron SAXS was applied to investigate the
self-assembly of GAAVILRR in solution as a
function of peptide concentration. The individual
scattering curves showed concentration-dependent
characteristics and can broadly be divided into
three groups (see Fig. 2).
2.1 SAXS analysis of the low-concentration regime.
First, we examined the peptide’s morphology at
concentrations below or close to the CAC. This data
could be modeled with the theoretical form factor of
the peptide monomer adding a hard sphere
interaction term [24]. The form factor was
calculated with the program FoXS [25,26] from a
theoretical atomic model of the monomer (Fig. S2 in
the ESM). Figure 2a shows the scattering curves of
the peptide at concentrations ranging from 10-45
mM with their respective fits (green curves) as a
function of the scattering vector q. All curves show
the same characteristics with an almost linear
region in the low q-range, followed by a broad
shoulder at q = 1.3 nm-1. The parameters to describe
molecular interactions are obtained from the fitting
function. As seen in Fig. 2b, the hard-sphere radius
(Rs) and the volume fraction () remain constant for
the measured concentrations. The averaged value of
1.6 nm for Rs is in good agreement with a
monomer’s theoretical total length of 3 nm (≈ 2Rs).
The linear increase in the extrapolated intensity at
zero angle (I0) is directly related to the increasing
peptide concentration, also visible in the constant
value when I0 is normalized to the concentration.
Based on these characteristics we conclude that the
transition from a dilute, non-interacting colloidal
system (10 mM) to a more concentrated system (45
mM) occurs without supramolecular structure
formation.
2.2 Structural heterogeneity dominates the
intermediate concentration regime. A pronounced
change in structure was observed when the
peptide’s concentration was increased well above
the CAC. Here, we distinguished between a
transition region (55-65 mM, Fig. 2c/d) and the final
structure (75 mM, Fig. 2e/f). The SAXS pattern of
the 55 mM sample shows a large intensity increase
in the lower q-range, indicating the first steps of
peptide assembly. At a slightly elevated
concentration (60 mM) we observed a SAXS pattern
typical of elongated structures. Increasing the
concentration to 65 mM leads to a SAXS pattern
that already shows distinct features of the endpoint
structure, but does not show the high viscosity of
the 75 mM sample.
Figure 2 The concentration-dependent self-assembly of GAAVILRR. Scattering curves of GAAVILRR at different concentrations
after 1 week of aging are shown with their respective fits, schematic illustrations of the assembled structures and the corresponding
Cryo-TEM images. (a) Low concentration regime (10-45 mM). The used fitting function combines a hard sphere model with the
theoretical form factor of the peptide monomer, the fits are represented by the green curves. (b) illustrates the concentration
dependence of the fitted hard-sphere parameters, showing that the structures do not change over the investigated concentration regime.
The hard-sphere radius Rs and the volume fraction remain constant, whereas the extrapolated intensity at zero angle (I0) rises
linearly with concentration. I0 normalized to the concentration results in a constant value. (c) Intermediate concentration regime
www.theNanoResearch.com∣www.Springer.com/journal/12274 | Nano Research
5 Nano Res.
(55-65 mM). Several models obtained equally good fits (see ESM, Table S5 and Fig. S6). This is in agreement with the observation of
different intermediate structures with Cryo-TEM. (d) shows a selection of possible intermediates found at 60 mM. Single tapes (d1) as
well as parallel aligned double tapes (d2) are found. Double-helix-like structures are the dominant species (d3) and are characterized
by a periodicity between intersection points. The double helices are several hundreds of nm in length and 15-20 nm in width. All
intermediates have a related (single) tape width. (e) Hydrogel forming sample (75 mM). The scattering curve was fitted with a double
helix model combined with the theoretical form factor of the peptide monomer. (f) Cryo-TEM image of the double-helix-like
structures at a concentration of 75 mM. They are defined by the identical parameters as the assemblies in (d3) except for a slightly
shorter distance between the intersection points of ~ 80 nm.
SAXS measurements were complemented with
TEM, which allows for a direct visualization of the
assemblies. TEM pictures revealed a quite
heterogeneous distribution of structures in the
intermediate concentration regime:
double-helix-like structures are the dominant
species, in coexistence with extended tapes and
double tapes (see Fig. 2, d1-d3). Uniformity in
tape-width was observed throughout all
intermediate morphologies in TEM.
2.3 Model development to fit the scattering curve
of the highest peptide concentration. Increasing
the peptide’s concentration to 75 mM results in a
highly viscous solution, typical of hydrogels that
are frequently reported in the context of
amphiphilic peptides [12,27]. Its scattering pattern
is shown in Fig. 2e, exhibiting four distinct features:
a broad shoulder at q ≈ 0.1-0.35 nm-1 and three side
maxima with consecutively decreasing intensity at
q = 0.5, 1.18 and 2.4 nm-1, respectively. In a first
approach and for completeness, we tested various
torus-like models to fit this curve, although TEM
images suggested elongated structures. The
rationale behind was that Khoe et al. [16]
investigated a peptide with a similar sequence,
lacking just one alanine residue, forming donut-like
structures in solution. However, neither a torus, nor
a torus with an elliptical cross-section, shell-models
thereof [28], nor elongated stacked tori could
properly describe our scattering curve (for a
description of the fitting functions and the
respective fits see ESM, Fig. S3 and Table S1). Also a
twisted ribbon model [29,30] can be excluded due to
its non-perfect fit (see ESM Fig. S4 and Table S2).
When we applied a helical fitting function, the fit
improved vastly (see ESM, Fig. S5 and Table S3).
But it was only after extending the helical model [30]
to a layered double helix, based on the equations of
Pringle et al. [31] that fitting results could be
obtained with a minimal chi-square value [32]. In
our study, a double helix is defined as two single
helices that fit into each other and are displaced by
the angle . This formalism introduces a coupling of
the different layer lines typical for the helical
diffraction pattern [33]. The amplitudes of the single
layer lines given by the values of tape width and
discriminate between single or double helices.
Equally good fits could be achieved by using single
and double helix models for the intermediate
structures from 55 to 65 mM (for details see ESM,
Table S5 and Fig. S6). As stated above, this
concentration regime represents an intermediate
state of a dynamic structure evolution process,
where coexistence of a variety of morphologies is
given. Single helical tapes as well as
double-helix-like structures are present, and even
the existence of twisted ribbons often described as
precursors in helix formation cannot be excluded.
This heterogeneity is represented by a non-perfect
fit of any single model to the SAXS data of the
intermediate concentrations. Ensemble analysis
shows a distribution of approximately 65 % single
helices and 35 % double helices (ESM Fig. S7 and
Table S6). The situation is different for the highest
peptide concentration: here the population of
| www.editorialmanager.com/nare/default.asp
6 Nano Res.
structures is more homogenous. Visually, the
assemblies can be best described as two individual
ribbons that are intertwined – by no means loosely
connected, but tightly associated, showing highly
regular repeat distances at their intersection points
(see Fig. 2f). Due to this regularity and homogeneity
in their total widths, an interaction between the two
strands seems likely. For this reason we describe
them as double-helix-like structures, and indeed,
fitting with the developed 2-layered double helix
model resulted in an excellent fit to the
experimentally obtained scattering data.
2.4 The SAXS-derived double helical model. The
X-ray derived parameters describing the novel
2-layered double helical model are illustrated in Fig.
3 (see also ESM Table S4). The double helix exhibits
a pitch (P) of ~ 60 nm and a mean radius (R) of 6 nm,
resulting in a helical twist angle of ~ 60°. The tape
height along the longitudinal axis (wh) is ~ 23 nm
(Fig. 3a). The diameter of the double helix is ~ 16
nm (Fig. 3b), indicating that no change in the
overall width of the tape has occurred upon
hydrogel formation. Most importantly, the electron
density profile () derived from the SAXS data
allows for a sectioning of the tape into several layers
(Fig. 3c). Accordingly, the peptide-containing region
in total accounts for ~ 3.5 nm. The inner
hydrophobic core has the highest electron density
and spans around 1 nm (D1). In this innermost
region we expect antiparallel stacking of the
peptide monomers due to intermolecular hydrogen
bonding. Given a monomer length of ~ 3 nm we
assume a very tight packing and interdigitation of
two monomers and we suggest that this
organization determines the high stability of the
supramolecular structures. Figure 3d shows one
sterically permitted arrangement for the stacking of
a peptide pair and the respective hydrogen bond
distribution. The hydrophobic core region is
flanked by a region providing the space for the
hydrophilic head groups. A decrease in the electron
density from 1 = 1.4 to 2 = 0.8 electrons/Å 3 points
to a less densely packed zone which indicates a
higher flexibility of the head groups. In addition,
the electron density distribution map shows an area
which is characterized by a diffuse scattering
contribution (3). We attribute this region to a low
fraction of twisted ribbons (below 5 %), which are
coexistent in the sample. They are characterized by
the same tape width (12 nm) as the tapes forming
the double-helix-like structures. The structural
morphology of the highest peptide concentration
was also approached by three different
TEM-techniques (freeze-fracture, negative-staining
and Cryo-TEM). All three techniques support our
model of two individual tapes that intertwine to
form the double-helix-like structures. The images,
as well as a discussion on the strengths and
limitations of either technique, can be found in the
ESM (Fig. S10).
2.5 Spectroscopic techniques to monitor the
structure’s internal organization. To obtain
additional information on the internal organization
of the structures and to confirm our model of
antiparallel organized monomers (as proposed in
Fig. 3d), we applied circular dichroism (CD) and
attenuated total reflection Fourier transform
infrared (ATR FT-IR) spectroscopy. In principle, the
obtained CD spectra demonstrate a transition from
mainly random-coil (1-45 mM, Fig. 4a) to
predominantly -type structures (60 mM, Fig. 4b).
The lowest peptide concentrations show a large
negative p→p* transition at 198-202 nm followed by
a negative band with a maximum at 220 nm, which
can be assigned to the n→p* transition. These
characteristics are associated with a mainly
random-coil structure. The large negative peak
becomes less pronounced with increasing peptide
concentration and is shifted to higher wavelengths.
This change goes in line with a rapid increase in the
high tension (HT) voltage and therefore these parts
of the spectra (dotted lines) should be considered
Figure 3 Structural parameters of the double helical model. Values are based on the 75 mM sample fit presented in Fig. 2e. (a)
Side-view of the double helix, composed of GAAVILRR molecules. Two individual strands are intertwisted to form a
double-helix-like structure. The illustrated parameters are the pitch (P), the helical twist angle (), the tape thickness (w), the tape
height (wh), the free space between one tape (h), and the corresponding free space in the bilayer plane (d). (b) The cross-section is
showing the mean radius (R) and the angle by which the two tapes are displaced with respect to each other. (c) Electron density
distribution of the cross-section, which can be divided into individual shells with D1-D2 being the shell-distances with the electron
densities 1-2. 3 (gray mesh) reflects the contribution of a low fraction of twisted ribbons in the sample. The dashed line represents
the symmetry line. In the innermost region (highlighted in green) we expect hydrogen bonding between antiparallel aligned peptide
molecules. (d) represents the hypothesized arrangement of two peptide molecules together with a proposed hydrogen bond
distribution pattern depicted in the chemical formulas. Color code of the molecular model of GAAVILRR: green: carbon, blue:
nitrogen, gray: oxygen, and white: hydrogen.
with caution. Nevertheless, all spectra of the low
concentration regime point to a random-coil
structure. Within the 60 mM sample the -strand
content significantly increased and the
spectroscopic characteristics developed towards a
negative maximum at 230 nm (Fig. 4b). Although
very few reports exist on how to interpret this large
negative peak at 230 nm there is a consensus that it
is related to -type structures [18,34,35]. A red shift
in signal has been associated with a higher degree
of twisting in -sheets compared to planar -sheets
[27]. CD spectra with striking similarity to ours
were reported in literature [36,37], interestingly all
of which were related to double helices. We now
hypothesize that a CD spectrum like ours -
characterized by the absence of the typical positive
peak at 190-200 nm and a single large negative band
around 230 nm - could be directly associated with a
double helix morphology, held together by
-strands.
ATR-FTIR measurements confirmed the presence of
-sheet structures (Fig. 4c). The major amide I peak
at 1620 nm-1 is characteristic of -sheet interactions.
The weak band at 1690 nm-1 can be assigned to an
antiparallel component, whereas the contribution at
1673 nm-1 arises from residual trifluoroacetic acid
(TFA) in the sample. In comparison, the 60 mM and
75 mM samples showed in both cases the same
spectroscopic characteristics, but also the typical
scaling of the signal with concentration.
The results of CD and ATR-FTIR spectroscopy go in
line with our proposed model of tightly packed,
interdigitated peptide molecules that are held
together by hydrogen bonding due to antiparallel
stacking.
Figure 4 The transition from random-coil (1-45 mM) to -type
structures (60-75 mM) measured by circular dichroism and
infrared spectroscopy. (a) CD spectra of the low-concentration
samples have been recorded after 10 days of incubation. (b) CD
spectra of the 60 mM sample were recorded at different time
points over an incubation time of 4 days. Dotted lines represent
parts of the spectra where a threshold of 600 Volts in the high
tension (HT) signal was exceeded. (c) ATR-FTIR spectroscopy
confirms the presence of antiparallel -sheets (peaks at 1620
and 1690 cm-1), the peak at 1673 nm-1 is indicative of residual
TFA.
www.theNanoResearch.com∣www.Springer.com/journal/12274 | Nano Research
9 Nano Res.
2.6 Evolution of structure over time. To test,
whether the double-helix-like structures are
intermediates and develop towards often described
tubular structures or whether they are a final state
of the assembly, we performed a series of SAXS and
Cryo-TEM measurements at different time points
over 11 weeks. The SAXS pattern of the 75 mM
sample remained unchanged over the observed
period of time (1, 4 and 11 weeks), revealing that
the overall structure and the internal organization
do not change (see ESM, Fig. S8). These results were
further supported by Cryo-TEM micrographs,
where stable double-helix-like structures were
observed at every time point (see Fig. 5). Already 30
minutes after dissolving, a double-helix-like
morphology developed and showed the final
widths of ~ 15-20 nm and a mean distance between
periodic intersection points of ~ 80 nm (see white
arrows in Fig. 5). These characteristics remained
unaltered for at least 11 weeks.
Figure 5 Cryo-TEM of 75 mM GAAVILRR at different time points shows no alteration in the global morphology. (a) freshly
dissolved (b) after 1 week (c) 4 weeks (d) 11 weeks. The peptide forms double helices at every time point, with similar structural
parameters: width ~ 15-20 nm and intersection points every ~ 80 nm (see white arrows). Scale bar = 200 nm.
An interesting point that needs to be addressed is
the strikingly different morphology of
GAAVILRR compared to the structure of the
peptide GAVILRR reported by Khoe et al. [16],
which differs from our sequence in just one
lacking alanine residue. While GAVILRR forms
donut-like structures in solution, we have found
double-helix-like assemblies for GAAVILRR.
These results highlight the fact that minor
differences in the amino acid composition can
have a huge influence in the resulting structures.
In fact, this feature is not unique and systematic
variations of the tail length or the substitution of
single amino acids in a given sequence are a
matter of intense research [12,13,18,27,38,39]. A
deeper understanding of the role of every single
amino acid opens up the opportunity for tunable
structures. They are highly desirable, when
thinking of the multifaceted application areas for
supramolecular self-assembled nanostructures.
Whether the double helical arrangement of
amphiphilic designer peptides has been
overlooked before due to experimental
limitations or is a unique, novel feature related to
peptide-sequence remains an open issue.
3. CONCLUSIONS. We have shown that the
structure of supramolecular peptide-assemblies
in solution strongly depends on the concentration
used. Below the CAC the peptides are dispersed
as monomers and do not display superstructural
features. According to Cenker et al. [40], as soon
as lyophilized peptides are dispersed in water
above their CAC, one part of the molecules is
present in the form of aggregates, whereas the
other part (equal to the concentration of the CAC)
is in its molecularly dissolved state. In a
time-dependent crystal growth process the
aggregates now grow by uniaxial extension
through the assembly of monomers. In a
dissolution-reassembly-mechanism structures
with a high level of perfection are grown within
minutes to a few hours. At this stage, the
structures already exhibit a defined cross-section
with their equilibrium diameters [40]. We
observed bilayered tapes, where we expect the
hydrophilic arginine residues being exposed to
the solvent and the hydrophobic tail residues
being interdigitated and tightly packed in the
interior, stabilized by intermolecular hydrogen
bonding. Due to the peptides’ intrinsic chirality,
monomers do not assemble strictly parallel but
slightly tilted with each other, leading to twisted
structures. In addition, a non-planar alignment of
the monomers leads to bending. This accounts for
a twisted-to-helical transition on the one hand
and on the other hand limits lateral growth, but
favors uniaxial elongation [29,41,42]. Hence,
double-helix-like structures with several hundred
nanometers to micrometers in length but only
around 16 nm in width can develop. Due to the
high regularity of pitch distances, the orientation
of the two individual strands seems to be the
consequence of a sensitively related interplay
between geometrical constraints, intertape
hydrogen bonding interactions, the hydrophobic
affinity of the tail residues and the electrostatic
repulsion of positively charged arginine residues.
Finally, the double-helix-like superstructures
assemble into a network displaying gel-like
features. As these intertwined assemblies are
stable for several months, this architecture seems
energetically and sterically highly favorable.
Having in mind the manifold applications for
supramolecular self-assembled structures
[4,5,43-47], a double-helical-like tape might be the
building block for the next generation of
bioinspired nanomaterials.
4. METHODS
4.1 Peptide Preparation. Ac-GAAVILRR-NH2
was custom synthesized and purified by
piCHEM GmbH (Graz, Austria) following the
www.theNanoResearch.com∣www.Springer.com/journal/12274 | Nano Research
11 Nano Res.
general procedure for Fmoc solid-phase peptide
synthesis. Samples were prepared by dissolving
the lyophilized peptide in double distilled water
to obtain the desired concentrations. The samples
were incubated at 4 °C under argon atmosphere
for 1 week prior to SAXS and TEM
measurements.
4.2 Small Angle X-Ray Scattering (SAXS).
Synchrotron X-ray scattering data was collected
at the Austrian SAXS beamline at ELETTRA
(Trieste, Italy) [48]. Measurements were
conducted at a wavelength of 0.154 nm and a
sample-detector distance of 1.1 m. The photon
energy was 8 keV. Data was recorded with a
Pilatus detector (PILATUS 100K, DECTRIS Ltd.,
Villigen PSI, Switzerland), calibrated with silver
behenate. The scattering intensity was measured
as a function of the scattering vector q where
q = 4 (sin)/
with 2 being the scattering angle and being
the wavelength. Samples were measured either in
a 1.5 mm glass capillary (10-60 mM) or in a gel
sample holder (75 mM). A discussion on the
influence of shearing forces when filling the
capillary can be found in the ESM (Table S7 and
Fig. S8). Data analysis was done with Fit2D [49]
and Igor Pro (Version 6.22A, WaveMetrics Inc.,
USA). Experimental intensities were normalized
to the sample transmission and corrected for
background. Absolute calibration was done by
using water as secondary standard after the
method described by Orthaber [50].
4.3 Formal description of a helix and a double
helix – fitting parameters. The mean radius (R) is
the distance between the helix center to the center
of the innermost shell. The cross section of our
model comprises two to three layers with their
respective distances (D1-D3) and electron
densities (1-3). solvent is the electron density of
the solvent, which was kept constant at 0.335 e/Å 3.
The mean radius and the pitch (P) provide the
helical twist angle , where = arctan[P/(2R)]. It
describes the angle of the helix with respect to the
equatorial plane. The rotation angle reflects the
degree of opening of the helix. The thickness of
the tape w is defined as w = D3sin, the tape
height wh = w/cos, and the free space between
the tapes h = P-wh. The free distance (d) between
the tapes in the bilayer plane is defined as d =
(wh)/wh [30,51].
A double helix results from two single helical
tapes (with the same properties as described
above) that are displaced by the angle with
each other. The pitch of a single helix needs to be
greater than the tape height wh in order to leave
room for the second tape.
4.4 Cryogenic Transmission Electron
Microscopy (Cryo-TEM). Samples were adsorbed
onto a glow-discharged carbon-coated copper
grid, blotted to create a thin film, plunged into
liquid ethane and transferred to liquid nitrogen.
Vitrified specimens were transferred onto a
Gatan 626-DH cryo transfer specimen holder and
imaged at cryogenic temperatures in a Tecnai T12
(FEI, The Netherlands) microscope, operated at
120 kV.
4.5 Circular Dichroism (CD) Spectroscopy.
Measurements were conducted on a JASCO J-715
Circular Dichroism Spectrometer (Jasco Inc.,
Easton, MD) using a 0.1 mm pathlength cell.
Spectra were recorded between 185 and 260 nm
in an interval scan mode with 0.2 nm resolution
and an average time of 1 sec. Scan speed was 50
nm/min. Spectra of the low concentration
samples (10-45 mM) were recorded after 10 days
of incubation. The 60 mM sample was filled into
the capillary directly after dissolution and its
structure evolution was monitored over 4 days.
Due to the high viscosity of the 75 mM sample it
was not possible to fill the sample into a
| www.editorialmanager.com/nare/default.asp
12 Nano Res.
measurement cell. The final spectra were
corrected for background by subtracting the
corresponding buffer spectra obtained under
identical conditions. Data processing and
analysis were performed with CDtool [52] and
Igor Pro (Version 6.22A, WaveMetrics Inc., USA).
The threshold of the high tension (HT) voltage
signal was set to 600 Volts. Parts of the CD
spectra exceeding this threshold are marked by
dotted lines.
4.6 Attenuated Total Reflection Fourier
Transform Infrared (ATR FT-IR) Spectroscopy.
Infrared spectra were recorded from 4000 to 600
cm-1 on a Bruker TENSOR 37 FT-IR spectrometer,
equipped with an ATR accessory (Bruker Optics
Inc., Billerica, USA). Spectra were averages of 128
scans with a resolution of 4 cm-1. Data analysis
was performed with the OPUS software (Version
6.5, Bruker Optics Inc., Billerica, USA).
4.7 Artwork. Illustrations of the assembled
structures were created with Blender (Version
2.66, Blender Foundation) [53] and Adobe
Photoshop CS5 Extended (Version 12.0.3 x32,
Adobe Systems Inc., USA). Chemical formulas
were drawn with ChemDraw (Version 6.0.1,
Perkin Elmer Informatics, USA).
Acknowledgements
This work has been supported by the Austrian
Science Fund (FWF Project No. I 1109-N28 to R. P.).
We thank Elisabeth Bock and Gertrud Havlicek for
technical assistance with electron microscopy. We
gratefully acknowledge Rolf Breinbauer for
providing access to infrared spectroscopy
instrumentation.
Electronic Supplementary Material:
Supplementary material (Experimental details;
determination of the CAC; SAXS: fitting functions:
hard-sphere model, theoretical form factor of a
peptide monomer, torus, torus with elliptical
cross-section, core-shell model of a torus and a
torus with elliptical cross-section, stacked models
thereof, helix, double helix; fits and derived
parameters of the torus-, twisted ribbon and
helix-models, ensemble analysis for coexisting
structures, time evolution of the 75 mM sample.
The influence of shearing forces on the resulting
SAXS pattern when filling the capillary.
Comparison of freeze-fracture, negative-staining
and Cryo-TEM techniques for the direct
visualization of superstructures) is available in the
online version of this article at
http://dx.doi.org/10.1007/s12274-***-****-*
(automatically inserted by the publisher). References
[1] Luo, Z.; Zhang, S. Designer nanomaterials using chiral
self-assembling peptide systems and their emerging
benefit for society. Chem. Soc. Rev. 2012, 41, 4736-4754.
[2] Zelzer, M.; Ulijn, R. V. Next-generation peptide
nanomaterials: molecular networks, interfaces and
supramolecular functionality. Chem. Soc. Rev. 2010, 39,
3351-3357.
[3] Aida, T.; Meijer, E. W.; Stupp, S. I. Functional
supramolecular polymers. Science 2012, 335, 813-817.
[4] Zhao, X.; Pan, F.; Xu, H.; Yaseen, M.; Shan, H.; Hauser,
C. A.; Zhang, S.; Lu, J. R. Molecular self-assembly and
applications of designer peptide amphiphiles. Chem. Soc.
Rev. 2010, 39, 3480-3498.
[5] Ellis-Behnke, R. G.; Liang, Y. X.; You, S. W.; Tay, D. K.;
Zhang, S.; So, K. F.; Schneider, G. E. Nano neuro
knitting: peptide nanofiber scaffold for brain repair and
axon regeneration with functional return of vision. Proc.
Natl. Acad. Sci. U.S.A. 2006, 103, 5054-5059.
[6] Ellis-Behnke, R. G.; Schneider, G. E. Peptide
amphiphiles and porous biodegradable scaffolds for
tissue regeneration in the brain and spinal cord. Methods
Mol. Biol. 2011, 726, 259-281.
[7] Hartgerink, J. D.; Beniash, E.; Stupp, S. I. Self-assembly
and mineralization of peptide-amphiphile nanofibers.
Science 2001, 294, 1684-1688.
[8] Vauthey, S.; Santoso, S.; Gong, H.; Watson, N.; Zhang, S.
Molecular self-assembly of surfactant-like peptides to
form nanotubes and nanovesicles. Proc. Natl. Acad. Sci.
U.S.A. 2002, 99, 5355-5360.
[9] Santoso, S.; Hwang, W.; Hartman, H.; Zhang, S. G.
Self-assembly of surfactant-like peptides with variable
glycine tails to form nanotubes and nanovesicles. Nano
Lett. 2002, 2, 687-691.
[10] von Maltzahn, G.; Vauthey, S.; Santoso, S.; Zhang, S. U.
Positively charged surfactant-like peptides self-assemble
into nanostructures. Langmuir 2003, 19, 4332-4337.
www.theNanoResearch.com∣www.Springer.com/journal/12274 | Nano Research
13 Nano Res.
[11] Xu, H.; Wang, Y.; Ge, X.; Han, S.; Wang, S.; Zhou, P.;
Shan, H.; Zhao, X.; Lu, J. R. Twisted Nanotubes Formed
from Ultrashort Amphiphilic Peptide I3K and Their
Templating for the Fabrication of Silica Nanotubes.
Chem. Mater. 2010, 22, 5165-5173.
[12] Lakshmanan, A.; Hauser, C. A. Ultrasmall peptides
self-assemble into diverse nanostructures: morphological
evaluation and potential implications. Int. J. Mol. Sci.
2011, 12, 5736-5746.
[13] Han, S.; Cao, S.; Wang, Y.; Wang, J.; Xia, D.; Xu, H.;
Zhao, X.; Lu, J. R. Self-assembly of short peptide
amphiphiles: the cooperative effect of hydrophobic
interaction and hydrogen bonding. Chem. - Eur. J. 2011,
17, 13095-13102.
[14] Xu, H.; Wang, J.; Han, S.; Wang, J.; Yu, D.; Zhang, H.;
Xia, D.; Zhao, X.; Waigh, T. A.; Lu, J. R.
Hydrophobic-region-induced transitions in
self-assembled peptide nanostructures. Langmuir 2009,
25, 4115-4123.
[15] Pan, F.; Zhao, X.; Perumal, S.; Waigh, T. A.; Lu, J. R.;
Webster, J. R. P. Interfacial Dynamic Adsorption and
Structure of Molecular Layers of Peptide Surfactants.
Langmuir 2009, 26, 5690-5696.
[16] Khoe, U.; Yang, Y. L.; Zhang, S. G. Self-Assembly of
Nanodonut Structure from a Cone-Shaped Designer
Lipid-like Peptide Surfactant. Langmuir 2009, 25,
4111-4114.
[17] Castelletto, V.; Nutt, D. R.; Hamley, I. W.; Bucak, S.;
Cenker, C.; Olsson, U. Structure of single-wall peptide
nanotubes: in situ flow aligning X-ray diffraction. Chem.
Commun. 2010, 46, 6270-6272.
[18] Hauser, C. A.; Deng, R.; Mishra, A.; Loo, Y.; Khoe, U.;
Zhuang, F.; Cheong, D. W.; Accardo, A.; Sullivan, M. B.;
Riekel, C. et al. Natural tri- to hexapeptides
self-assemble in water to amyloid beta-type fiber
aggregates by unexpected alpha-helical intermediate
structures. Proc. Natl. Acad. Sci. U.S.A. 2011, 108,
1361-1366.
[19] Wang, J.; Han, S.; Meng, G.; Xu, H.; Xia, D.; Zhao, X.;
Schweins, R.; Lu, J. R. Dynamic self-assembly of
surfactant-like peptides A6K and A9K. Soft Matter 2009,
5, 3870-3878.
[20] Baumann, M. K.; Textor, M.; Reimhult, E.
Understanding Self-Assembled Amphiphilic Peptide
Supramolecular Structures from Primary Structure Helix
Propensity. Langmuir 2008, 24, 7645-7647.
[21] Bucak, S.; Cenker, C.; Nasir, I.; Olsson, U.; Zackrisson,
M. Peptide Nanotube Nematic Phase. Langmuir 2009, 25,
4262-4265.
[22] Wang, S.; Ge, X.; Xue, J.; Fan, H.; Mu, L.; Li, Y.; Xu, H.;
Lu, J. R. Mechanistic Processes Underlying Biomimetic
Synthesis of Silica Nanotubes from Self-Assembled
Ultrashort Peptide Templates. Chem. Mater. 2011, 23,
2466-2474.
[23] Yang, S.; Zhang, S. Self-assembling behavior of designer
lipid-like peptides. Supramol. Chem. 2006, 18, 289-396.
[24] Pontoni, D.; Finet, S.; Narayanan, T.; Rennie, A. R.
Interactions and kinetic arrest in an adhesive hard-sphere
colloidal system. J. Chem. Phys. 2003, 119, 6157.
[25] Schneidman-Duhovny, D.; Hammel, M.; Tainer, J. A.;
Sali, A. Accurate SAXS profile computation and its
assessment by contrast variation experiments. Biophys. J.
2013, 105, 962-974.
[26] Schneidman-Duhovny, D.; Hammel, M.; Sali, A. FoXS:
a web server for rapid computation and fitting of SAXS
profiles. Nucleic Acids Res. 2010, 38, W540-W544.
[27] Pashuck, E. T.; Cui, H.; Stupp, S. I. Tuning
supramolecular rigidity of peptide fibers through
molecular structure. J. Am. Chem. Soc. 2010, 132,
6041-6046.
[28] Kawaguchi, T. Radii of gyration and scattering functions
of a torus and its derivatives. J. Appl. Crystallogr. 2001,
34, 580-584.
[29] Selinger, J. V.; Spector, M. S.; Schnur, J. M. Theory of
Self-Assembled Tubules and Helical Ribbons. J. Phys.
Chem. B 2001, 105, 7157-7169.
[30] Teixeira, C. V.; Amenitsch, H.; Fukushima, T.; Hill, J. P.;
Jin, W.; Aida, T.; Hotokka, M.; Lindén, M. Form factor
of an N-layered helical tape and its application to
nanotube formation of
hexa-peri-hexabenzocoronene-based molecules. J. Appl.
Crystallogr. 2010, 43, 850-857.
[31] Pringle, O. A.; Schmidt, P. W. Small-angle X-ray
scattering from helical macromolecules. J. Appl.
Crystallogr. 1971, 4, 290-293.
[32] Pedersen, J. S. Analysis of small-angle scattering data
from colloid and polymer solutions: modeling and
least-square fitting. Adv. Colloid Interface Sci. 1997, 70 ,
171-210.
[33] Hamley, I. W. Form Factor of Helical Ribbons.
Macromolecules 2008, 41, 8948-8950.
[34] Rudra, J. S.; Tian, Y. F.; Jung, J. P.; Collier, J. H. A
self-assembling peptide acting as an immune adjuvant.
Proc. Natl. Acad. Sci. U.S.A. 2010, 107, 622-627.
[35] Collier, J. H.; Messersmith, P. B. Enzymatic
Modification of Self-Assembled Peptide Structures with
Tissue Transglutaminase. Bioconjugate Chem. 2003, 14,
748-755.
[36] Hicks, M. R.; Damianoglou, A.; Rodger, A.; Dafforn, T.
R. Folding and Membrane Insertion of the Pore-Forming
Peptide Gramicidin Occur as a Concerted Process. J. Mol.
Biol. 2008, 383, 358-366.
[37] Chen, C. L.; Zhang, P.; Rosi, N. L. A New Peptide-Based
Method for the Design and Synthesis of Nanoparticle
Superstructures: Construction of Highly Ordered Gold
Nanoparticle Double Helices. J. Am. Chem. Soc. 2008,
130, 13555-13557.
[38] Paramonov, S. E.; Jun, H. W.; Hartgerink, J. D.
Self-assembly of peptide-amphiphile nanofibers: the
roles of hydrogen bonding and amphiphilic packing. J.
Am. Chem. Soc. 2006, 128, 7291-7298.
[39] Dong, H.; Paramonov, S. E.; Aulisa, L.; Bakota, E. L.;
Hartgerink, J. D. Self-assembly of multidomain peptides:
balancing molecular frustration controls conformation
and nanostructure. J. Am. Chem. Soc. 2007, 129,
12468-12472.
[40] Cenker, C. C.; Bomans, P. H. H.; Friedrich, H.; Dedeoglu,
B.; Aviyente, V.; Olsson, U.; Sommerdijk, N. A. J. M.;
| www.editorialmanager.com/nare/default.asp
14 Nano Res.
Bucak, S. Peptide nanotube formation: a crystal growth
process. Soft Matter 2012, 8, 7463-7470.
[41] Fishwick, C. W. G.; Beevers, A. J.; Carrick, L. M.;
Whitehouse, C. D.; Aggeli, A.; Boden, N. Structures of
Helical -Tapes and Twisted Ribbons: The Role of
Side-Chain Interactions on Twist and Bend Behavior.
Nano Lett. 2003, 3, 1475-1479.
[42] Armon, S.; Aharoni, H.; Moshe, M.; Sharon, E. Shape
selection in chiral ribbons: from seed pods to
supramolecular assemblies. Soft Matter 2014, 10,
2733-2740.
[43] Cui, H.; Webber, M. J.; Stupp, S. I. Self-assembly of
peptide amphiphiles: from molecules to nanostructures to
biomaterials. Biopolymers 2010, 94, 1-18.
[44] Hamley, I. W. Self-assembly of amphiphilic peptides.
Soft Matter 2011, 7, 4122–4138.
[45] Yao, Y.; Xue, M.; Chen, J.; Zhang, M.; Huang, F. An
amphiphilic pillar[5]arene: synthesis, controllable
self-assembly in water, and application in calcein release
and TNT adsorption. J. Am. Chem. Soc. 2012, 134,
15712-15715.
[46] Yao, Y.; Xue, M.; Zhang, Z.; Zhang, M.; Wang, Y.;
Huang, F. Gold nanoparticles stabilized by an
amphiphilic pillar[5]arene: preparation, self-assembly
into composite microtubes in water and application in
green catalysis. Chem. Sci. 2013, 4, 3667-3672.
[47] Yu, G.; Ma, Y.; Han, C.; Yao, Y.; Tang, G.; Mao, Z.; Gao,
C.; Huang, F. A sugar-functionalized amphiphilic
pillar[5]arene: synthesis, self-assembly in water, and
application in bacterial cell agglutination. J. Am. Chem.
Soc. 2013, 135, 10310-10313.
[48] Amenitsch, H.; Rappolt, M.; Kriechbaum, M.; Mio, H.;
Laggner, P.; Bernstorff, S. First performance assessment
of the small-angle X-ray scattering beamline at
ELETTRA. J. Synchrotron Rad. 1998, 5, 506-508.
[49] European Synchrotron Radiation Facility, Fit2D.
http://www.esrf.eu/computing/scientific/FIT2D/
(accessed August, 2014).
[50] Orthaber, D.; Bergmann, A.; Glatter, O. SAXS
experiments on absolute scale with Kratky systems using
water as a secondary standard. J. Appl. Crystallogr. 2000,
33, 218-225.
[51] Chung, D. S.; Benedek, G. B.; Konikoff, F. M.; Donovan,
J. M. Elastic free energy of anisotropic helical ribbons as
metastable intermediates in the crystallization of
cholesterol. Proc. Natl. Acad. Sci. U.S.A. 1993, 90,
11341-11345.
[52] Lees, J. G.; Smith, B. R.; Wien, F.; Miles, A. J.; Wallace,
B. A. CDtool-an integrated software package for circular
dichroism spectroscopic data processing, analysis, and
archiving. Anal. Biochem. 2004, 332, 285-289.
[53] Blender Foundation. http://www.blender.org (accessed
August, 2014).
www.theNanoResearch.com∣www.Springer.com/journal/12274 | Nano Research
Nano Res.
Electronic Supplementary Material
Tracking morphologies at the nanoscale: self-assembly
of an amphiphilic designer peptide into a double helix
superstructure
Karin Kornmueller1, Ilse Letofsky-Papst2, Kerstin Gradauer1, Christian Mikl1, Fernando Cacho-Nerin3,†,
Mario Leypold4, Walter Keller5, Gerd Leitinger6,7, Heinz Amenitsch3, and Ruth Prassl1 ()
Supporting information to DOI 10.1007/s12274-****-****-* (automatically inserted by the publisher)
| www.editorialmanager.com/nare/default.asp
Nano Res.
Determination of the critical aggregation concentration (CAC)
The CAC is defined as the concentration of a surfactant above which highly organized supramolecular
structures spontaneously form. The CAC was determined with a fluorescence assay described by Yang [1].
1,6-Diphenyl-1,3,5-hexatriene (DPH) was purchased from Sigma-Aldrich (Vienna, Austria). 5 µ l of 30 mM
DPH in chloroform were added to 150 µl of peptide solution at varying concentrations. Samples were
incubated overnight at 4°C, gently shaking. Fluorescence spectra were recorded on a SPEX FluoroMax-3
spectrofluorimeter (Jobin-Yvon Horiba, USA). The excitation wavelength was 350 nm, fluorescence emission
was recorded at 425 nm.
Below the CAC, surfactant molecules as well as the hydrophobic probe DPH are randomly oriented and thus
the fluorescence signal is quenched. As soon as surfactant molecules assemble into supramolecular structures
DPH is aligned within their hydrophobic milieus and the fluorescence intensity increases linearly. When the
measured fluorescence intensity is plotted against the peptide concentration, two straight lines can be fitted
into the plot – the low intensity region and the linearly increasing intensity region. The concentration at the
intersection point of these two lines is defined as the CAC of the peptide. The CAC of GAAVILRR was
determined to be around 30 mM in water (Figure S1).
Figure S1 Determination of the CAC.
www.theNanoResearch.com∣www.Springer.com/journal/12274 | Nano Research
Nano Res.
Small angle X-ray scattering (SAXS) - development of the structure factors
1.1 The low concentration regime (10-45 mM)
a) Atomic model
A theoretical atomic model of the peptide monomer Ac-GAAVILRR-NH2 was generated using the
builder-function in PyMOL, a molecular visualization software for rendering and animating 3D molecular
structures (The PyMOL Molecular Graphics System, Version 1.2r1, Schrödinger, LLC.). The generated model
was saved in the Protein Data Bank (PDB) format (http://www.wwpdb.org/docs.html).
b) Theoretical form factor Ftheo(q)2
In order to obtain the theoretical form factor of the peptide monomer, a theoretical scattering curve was
calculated using the program FoXS [2]. The atomic coordinates were derived from the atomic model
generated with the program PyMOL. The configuration was done by using the default input parameters.
Figure S2 illustrates the theoretical atomic model of GAAVILRR and the derived theoretical scattering curve.
Figure S2 Theoretical form factor of the peptide monomer. The theoretical atomic model of GAAVILRR was generated with PyMOL
and the derived theoretical scattering curve was created with FoXS. Color code: green: carbon, blue: nitrogen, gray: oxygen, and white:
hydrogen.
c) Structure factor
A hard sphere model [3] Shardsphere was combined with the theoretical form factor Ftheo(q)2 of the peptide
monomer.
2,,)( qFqRSCqI theoshardsphere
(1)
where is the volume fraction, Rs the hard sphere radius and C is a scaling constant. Within the low
concentration regime I0 - the extrapolated intensity at zero angle - was derived by averaging the intensities in
| www.editorialmanager.com/nare/default.asp
Nano Res.
the linear region between q = 0.22 and 0.50 nm-1 of the individual scattering curves.
1.2 Form factor of a helix and a double helix
The form factor of an N-layered helical tape [4] Fhelical(q)2 was combined with the theoretical form factor of the
peptide monomer. As the structural dimensions between the helical superstructure and the monomers are
very different, the helical form factor has only contributions in the regime, in which the scattering from the
peptide monomer is constant. As a consequence the helical superstructure can be treated as an additive term.
220 ,,)()( qFqRSCqFIqI theoshardspherehelical
(2)
with the fitting parameters I0 and C, besides the structural parameters of the helical ribbon. The parameters Rs
and have been fixed with the values derived from the monomers at low concentration.
The helical form factor was based on the one for a single tape [4] and has been extended to a double helix
system according to Pringle and Schmidt [5]. The total scattering intensity can be generalized for a double
helical tape consisting of N shells as:
22
2
2
2
2 ),,,(
2
2sin
2cos)( qPRGn
nn
qLCqF
nshelln
n
shelln
helical
(3)
where
mR
nm
N
mmmmnshell
Pq
nqrrdrJqPRG
0
2
11
212)(),,,(
(4)
and
N
mmmmshelln RC
1
21
(5)
L denotes the length of the tape, Cn-shell is a normalization term for the calculation of the form factor, P is the
pitch, and Rm and m are the radius and the electron density of the mth shell, respectively. In the above
equations o is the electron density of the solvent solvent. 0 = 1 and n = 2 for n≥1, n indicates the number of
layer line. is the angle by which one helix is rotated with respect to the second one. The rotation angle
reflects the degree of opening of a tape. Jn(x) is the Bessel function of the first kind and order n. Although
written as an infinite series, only layer lines excited at a certain q-value satisfying the condition: n ≤ Pq/2
contribute to the sum (all other terms are zero).
This can be simplified for our system (Nl-shells mirrored to the central one, as drawn in Fig. 3c for three
layers)
2m
m
DRR
(6)
for mNl
www.theNanoResearch.com∣www.Springer.com/journal/12274 | Nano Research
Nano Res.
2
12
mN
ml
DRR
(7)
for m>Nl
R is the mean radius, measuring the distance from the helix center to the center of the innermost shell, Dm is
the thickness of the mth layer, running from m=1 to m=Nl. In this way Cn-shell can be replaced by Cn-layer and Gshell
n by Glayer n, given by:
2
2
2
11
212,,,
m
m
l
n
DR
DR
n
N
mmmmmlayer
Pq
nqrrdrJqPRG
(8)
and
lN
m
mmmmlayern
DR
DRC
1
221 )
2()
2()(
(9)
For the single helical tape the angle by which one tape is rotated with respect to the second one is set to zero.
1.3 Form factor of a torus and its derivatives
A very similar peptide (GAVILRR) was reported to form donut-like structures in solution [6]. Therefore in a
first approach we tried to fit the scattering curve of the 75 mM GAAVILRR solution with various torus-like
models. The fitting functions were developed based on the work done by Takeshi Kawaguchi [7]. According
to Kawaguchi, the scattering from donut-structures arises from randomly oriented objects where the
rotational average of the form factor has to be performed. In the special case of donut-like structures this
average simplifies to:
2/
0
22 ),()sin()(
qFdqF
(10)
with being the angle between the scattering vector q and the vertical axis.
| www.editorialmanager.com/nare/default.asp
Nano Res.
The form factors F(q,) of the various models are:
a) Torus [7]
)cos(
))cos(sin()sin(4),( 0
q
qqrJrdrqF
ab
ab
(11)
with =[a2-(r-b)2]1/2, b stands for the radius of the torus, a is its cross-section radius as shown in Fig. S3. J0(x) is
the Bessel function of zero order.
b) Hollow torus [7]
),(),(),( 12 qFqFqF (12)
with the corresponding use of an inner torus cross-section radius a1 and an outer cross section radius a2.
c) Torus with elliptical cross section [7]
The form factor of a torus with an elliptical cross-section is derived from equation (11) with
=(c/a)[a2-(r-b)2]1/2, where c and a are the half-axes of the elliptical torus cross-section.
d) Hollow torus with elliptical cross section
),(),(),( 12 qFqFqF (13)
with the half-axes of the inner and outer torus cross-section being c1,a1 and c2,a2.
e) Stack of tori with elliptical cross section
),(),()sin()(2/
0
22
qSqFdqF
(14)
)cos(
))cos(sin()sin(4),( 0
q
qqrJrdrqF
ab
ab
(15)
www.theNanoResearch.com∣www.Springer.com/journal/12274 | Nano Research
Nano Res.
lN
kll dqkkNNqS
1
))cos(cos()(),(
(16)
with Nl being the number of stacked tori, d is the distance between the tori (d=2a+), the other parameters are
as in (c)
f) Stack of hollow tori with elliptical cross section
),(),(),( 12 qFqFqF (17)
derived in the same way as in (e), but with a modified form factor amplitude as in equation (13)
Figure S3 Torus model fitting. Scattering curve (black) of the 75 mM GAAVILRR sample with fitting approaches of various torus-like
models (red curves).
| www.editorialmanager.com/nare/default.asp
Nano Res.
Table S1 Derived fitting parameters of the torus-like model fits.
torus core-shell elliptical
cross-section
elliptical
cross-section,
core-shell
elliptical
cross-section,
stacked
elliptical cross-section,
core-shell, stacked
back 0.021 0.019 0.020 0.020 0.020 0.020
I0 (a.u.) 4.9e-6 3.6e-7 5.4e-7 1.2e-7 8.5e-7 6.5e-8
b (nm) 6.7 6.2 8.9 8.9 7.4 8.8
a (nm) 2.7 - 2.3 - 5.3 -
a1 (nm) - 2.1 - 2.3 - 2.1
a2 (nm) - 5.6 - 6.6 - 5.7
ratio - 6.3 - 8.4 - 6.9
- - 0.70 0.78 0.44 0.94
Nl - - - - 1 1
(nm) - - - - 0.14 0.59
Reduced,
weighted chi2 327.1 13.9 201.3 26.1 68.2 27.8
www.theNanoResearch.com∣www.Springer.com/journal/12274 | Nano Research
Nano Res.
1.4 Fitting of the 75 mM GAAVILRR sample with a twisted ribbon form factor
sample: 75 mM GAAVILRR
fitting function: twisted ribbon [4]
Figure S4 Fitting of a twisted ribbon model. Scattering curve (black) of the 75 mM GAAVILRR sample and the twisted ribbon model
fit (red curve). The number of points representing the experimentally measured scattering curve has been reduced from 490 to 125
points to the benefit of calculating time.
Table S2 Derived twisted ribbon fitting parameters.
back R P ribbon I0 Rs chi2
(nm) (nm) (e/Å3) (deg) (a.u.) (nm)
0.0011 7.7 45 1.0 227 4.3e-6 0.089 1.2 129
| www.editorialmanager.com/nare/default.asp
Nano Res.
1.5 Fitting of the 75 mM GAAVILRR sample with the helix form factor
In this approach we used the same helix model as used for the intermediate region (60 mM sample).
Compared to the ribbon and torus-models, the fit could be considerably improved. Nevertheless, in the low
q-range there is a strong deviation from the experimental scattering curve, which prompted us to further
improve the model.
sample: 75 mM GAAVILRR
fitting function: 3-layered single helical tape
Figure S5 Helix model fitting. Scattering curve (black) of the 75 mM GAAVILRR sample and the 3-layered helical model fit (red
curve).
Table S3 Derived helix fitting parameters.
back R D3 D2 D1 P sol 3 2 1 I0 Rs chi2
(nm) (nm) (nm) (nm) (deg) (nm) (e/Å3) (e/Å3) (e/Å3) (e/Å3) (a.u.) (nm)
0.0018 5.6 10.2 3.3 1.0 225 21 0.335 0.5 1.8 2.7 4.1e-6 0.14 1.2 3.7
www.theNanoResearch.com∣www.Springer.com/journal/12274 | Nano Research
Nano Res.
1.6 Fitting of the 75 mM GAAVILRR sample with the double helix form factor
sample: 75 mM GAAVILRR
fitting function: 3-layered double helical tape
Table S4 Derived double helix fitting parameters.
back R D3 D2 D1 P φ sol 3 2 1 I0 Rs chi2
(nm) (nm) (nm) (nm) (deg) (nm) (deg) (e/Å3) (e/Å3) (e/Å3) (e/Å3) (a.u.) (nm)
0.0011 6.0 12.3 3.3 1.0 69 58 119 0.335 0.5 0.8 1.4 4.0e-6 0.10 1.1 2.7
| www.editorialmanager.com/nare/default.asp
Nano Res.
1.7 Fitting of the intermediate concentration regime
sample: 60 mM GAAVILRR
fitting functions: 3-layered single helical tape & 3-layered double helical tape
Figure S6 Intermediate concentration regime fitting. The 60 mM concentration was fitted with 2 different models, either a 3-layered
helical model (a) or a 3-layered double helical model (b), both in combination with the theoretical form factor of the monomer. Both fits
are equally good, regarding their reduced, weighted chi2 value (see ESM Table S5).
Table S5 Derived helix & double helix fitting parameters.
back R D3 D2 = D1 P φ sol 3 1 = 2 I0 Rs chi2
(nm) (nm) (nm) (deg) (nm) (deg) (e/Å3) (e/Å3) (e/Å3) (a.u.) (nm)
helix 0.0011 7.8 9.0 1.0 189 44 - 0.335 0.5 2.9 1.5e-6 0.07 1.5 5.9
double
helix 0.0011 5.6 8.8 1.0 143 49 76 0.335 0.5 2.2 1.5e-6 0.07 1.5 6.5
When fitting the scattering curve of the intermediate region, both, the single and the double helical model,
provide good and comparable results, but none of the two gave a perfect fit. We attributed this to the
following facts: First, SAXS is able to determine the cross-section of extended structures in high detail. The
underlying parameters which define the cross-section of the helix and the double helix are identical (for a
description of the differences between the two models, please refer to the main article, Section 2.3 “Model
development to fit the scattering curve of the highest peptide concentration”, and Methods Section 4.3
“Formal description of a helix and a double helix – fitting parameters”). Second, Cryo-TEM showed a
heterogeneous population of structures regarding their long range order in the investigated sample.
Interestingly, their widths are highly homogeneous: irrespective whether they are extended tapes, double
tapes or double helices – one tape’s width (and as a conclusion its cross sectional characteristics) remained the
same throughout all structural intermediates. Therefore the presence of the various intermediates in the
sample explains the non-perfect fit of the extended structure to the SAXS data.
www.theNanoResearch.com∣www.Springer.com/journal/12274 | Nano Research
Nano Res.
Ensemble Analysis
Ensemble fitting was applied to determine the ratio of single and double helices in the 60 mM and 75 mM
samples.
Figure S7 Ensemble analysis. The scattering curves of the 60 mM and 75 mM concentrations were fitted with 2 different models, either
a 3-layered helical model (blue) or a 3-layered double helical model (green). (a) shows the single and double helical fits for the 60 mM
sample, (b) represents the experimental scattering curve (black) with the ensemble analysis of the two models (red), which allows to
determine the ratio of the individual components. The 60 mM sample contains approximately 65 % single helices and 35 % double
helices. The two fitting curves for the 75 mM sample are shown in (c). Ensemble analysis (d) reveals a distribution of 24 % single
helices and 76 % double helices.
Table S6 Ensemble analysis.
60 mM 75 mM
single helix (%) 65 24
double helix (%) 35 76
| www.editorialmanager.com/nare/default.asp
Nano Res.
Influence of shearing forces when filling the capillaries (60 mM sample)
We suspected that the shearing force which is going along with the filling of the SAXS capillary might change
the inherent self-assembled structure of the peptide. To test this effect we left the before measured 60 mM
sample (Fig. S8, lower curve, green fit) undisturbed in the capillary and repeated the measurement after 2
hours. In fact, the SAXS pattern has changed considerably (Fig. S8, upper curve, blue fit). Both curves were
fitted by combining the theoretical form factor of the peptide monomer with a 3-layered single helical tape.
The results only differ in a clearly decreased pitch size for the second sample, the cross-sectional
characteristics and the tape width remained the same. These results hint at a condensation process. It is highly
interesting that fully developed structures undergo that change within a few hours. We suppose that the shear
stress temporarily forced the structures into the elongated form and that under restored equilibrium
conditions they recovered elastically their coiled form. However, this temporal change highlights the dynamic
nature of the molecules and might even mirror the initial steps of a coiling process.
Table S7 Helix fitting parameters at 2 different time points
back R D3 D2 = D1 P sol 3 2 = 1 I0 Rs chi2
sample (nm) (nm) (nm) (deg) (nm) (e/Å3) (e/Å3) (e/Å3) (a.u.) (nm)
immediately
(green) 0.0011 7.2 10.0 1.0 183 62* 0.335 0.5 3.9 1.7e-6 0.07 1.5 6.4
after 2 h
(blue) 0.0011 7.8 9.0 1.0 189 44* 0.335 0.5 2.9 1.5e-6 0.07 1.5 5.9
*experimental constraint: Pmax = 2/qmin = 62 nm
Figure S8 Influence of shearing forces. The 60 mM concentration was measured twice: directly after filling of the capillary (lower
curve, green fit) and after leaving the sample undisturbed in the capillary for 2 hours (upper curve, blue fit). The optimal fits were
achieved with a 3-layered helical model in combination with the theoretical form factor of the monomer (see also ESM Table S7).
www.theNanoResearch.com∣www.Springer.com/journal/12274 | Nano Research
Nano Res.
Time-dependent evolution of the SAXS curve (75 mM)
To test, if the double helix model represents an intermediate or the thermodynamically endpoint structure, we
performed SAXS measurements after 1, 4 and 11 weeks of aging. As seen in Fig. S9, all curves show the same
scattering pattern, regardless their aging time. We therefore conclude that the double helices are the final
structure. This result perfectly agrees with Cryo-TEM measurements, where we did not observe structural
changes over the investigated period of 11 weeks either (see main article, Fig. 5).
Figure S9 Time-dependent evolution of the SAXS signal. Scattering curves of 75 mM GAAVILRR show identical characteristics after
1 week (red), 4 weeks (blue) and 11 weeks (green) of incubation.
| www.editorialmanager.com/nare/default.asp
Nano Res.
Comparison of various TEM methods for double helix visualization
We used 3 different transmission electron microscopy techniques (freeze-fracture, negative-staining and
cryogenic TEM) to visualize the morphology of the assembled structures at 75 mM after 1 week of aging (Fig.
S10). All 3 methods showed the double helical arrangement and provided consistent size information.
Freeze-fracture is the only technique that gives an impression on the depth of the assemblies (Fig. S10a).
Unfortunately we do not see the entire extension of the double helix, we rather see small fragments thereof. In
return, these fractions are very well resolved and the individual tapes are clearly visible. Interestingly, the
tapes rise quite steeply. This is in agreement with the calculated helical twist angle of ~ 60° from SAXS
experiments. The total diameters of the double helices range between 20-25 nm. Negative staining TEM
images highlight the double taped arrangement and illustrate the coiling of the tapes (Fig. S10b). The lengths
of the double helices are well over some hundreds of nanometers, whereas their widths are generally smaller
(10-15 nm) compared to SAXS. This could be due to shrinking during TEM sample preparation. Associated
with the double helices are large vesicles, with diameters of around 25 nm. They are believed to develop
during the sample preparation process when the solution is dried on the grid. These structures are not present
in the native solution and were neither observed with SAXS, nor with other TEM techniques. We conclude
that negative-staining TEM nicely visualizes the coiling of tapes, but that this technique is more susceptible to
produce artifacts than the others. Cryo-TEM is the least invasive method and preserves the structures at
cryogenic conditions. The double-helix-like assemblies are clearly visible and exhibit lengths of several
hundreds of nanometers, widths of 15-20 nm and periodic intersection points every ~ 80 nm (Fig. S10c).
Figure S10 Comparison of 3 different TEM techniques. In order to directly visualize the double-helix-like morphology, the same
sample (75 mM GAAVILRR, 1 week of aging) was investigated by (a) freeze-fracture TEM, (b) negative-staining TEM and (c)
cryo-TEM.
Experimental
Freeze-fracture Transmission Electron Microscopy (TEM)
The peptide-hydrogel samples were cut to cubes with an edge length of about 1.5 mm and were placed on
3-mm gold specimen carriers, pretreated with a thin layer of 30 % glycerol. The samples were frozen rapidly
in liquid propane (-140 °C to -150 °C) by using a cryo-fixation device (KF80, Reichert-Jung, Vienna, Austria).
www.theNanoResearch.com∣www.Springer.com/journal/12274 | Nano Research
Nano Res.
The frozen samples were stored in liquid nitrogen, transferred onto the cold stage of the freeze-fracture
system BAF 400 D (Balzers, Liechtenstein) and fractured at -100 °C in vacuum. The sample surface was etched
for 30 min. by placing the cooled knife (-196 °C) directly above the samples. Replicas were obtained by
shadowing the samples with platinum (20 nm) at a 30° angle and carbon (200 nm) applied from overhead. The
film-thickness was controlled by a quartz crystal thin-film monitor. In order to degrade the peptides, the
replicas were transferred to 10 % sodium hypochloride for 3 h, followed by storage in 50 % sodium hydroxide
overnight. The replicas were washed several times in double-distilled water and placed onto a copper grid.
Visualization of the samples was accomplished using a Fei Tecnai G² 20 transmission electron microscope
(Eindhoven, the Netherlands) operating at an acceleration voltage of 120 kV. Digital images were made using
a Gatan US1000 CCD camera at 2K x 2K resolution.
Negative-staining Transmission Electron Microscopy (TEM)
Samples were prepared by dissolving the lyophilized peptide in double distilled water to obtain the desired
concentrations and aged for 1 week at 4 °C under argon atmosphere. 5 µ l of each sample were adsorbed onto a
glow-discharged carbon-coated copper grid and allowed to settle for 1 minute. Excess fluid was carefully
removed with filter paper and immediately replaced by 5 µ l of a 2 % (w/v) uranyl acetate staining solution,
which was centrifuged for 6 minutes at 10000 rpm prior to usage in order to precipitate potentially present
aggregates. The uranyl acetate solution was allowed to settle for 30 seconds, blotted and replaced by another 5
µ l of fresh solution. After 30 seconds of incubation the staining solution was removed and the sample was
air-dried.
Visualization of the samples was achieved by using a Fei Tecnai G² 20 transmission electron microscope
(Eindhoven, The Netherlands) operating at an acceleration voltage of 120 kV. Digital images were made using
a Gatan US1000 CCD camera at 2K x 2K resolution.
Cryogenic Transmission Electron Microscopy (Cryo-TEM)
See main article (Methods Section)
References
[1] Yang, S.; Zhang, S. Self-assembling behavior of designer lipid-like peptides. Supramol. Chem. 2006, 18,
289-396.
[2] Schneidman-Duhovny, D.; Hammel, M.; Tainer, J. A.; Sali, A. Accurate SAXS profile computation and
its assessment by contrast variation experiments. Biophys. J. 2013, 105, 962-974.
Schneidman-Duhovny, D.; Hammel, M.; Sali, A. FoXS: a web server for rapid computation and fitting
of SAXS profiles. Nucleic Acids Res. 2010, 38, W540-W544.
[3] Pontoni, D.; Finet, S.; Narayanan, T.; Rennie, A. R. Interactions and kinetic arrest in an adhesive
hard-sphere colloidal system. J. Chem. Phys. 2003, 119, 6157.
| www.editorialmanager.com/nare/default.asp
Nano Res.
[4] Teixeira, C. V.; Amenitsch, H.; Fukushima, T.; Hill, J. P.; Jin, W.; Aida, T.; Hotokka, M.; Lindén, M.
Form factor of an N-layered helical tape and its application to nanotube formation of
hexa-peri-hexabenzocoronene-based molecules. J. Appl. Crystallogr. 2010, 43, 850-857.
[5] Pringle, O. A.; Schmidt, P. W. Small-angle X-ray scattering from helical macromolecules. J. Appl.
Crystallogr. 1971, 4, 290-293.
[6] Khoe, U.; Yang, Y. L.; Zhang, S. G. Self-Assembly of Nanodonut Structure from a Cone-Shaped
Designer Lipid-like Peptide Surfactant. Langmuir 2009, 25, 4111-4114.
[7] Kawaguchi, T. Radii of gyration and scattering functions of a torus and its derivatives. J. Appl. Crystallogr.
2001, 34, 580-584.