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Downstream Processing (Textbook Chapter 11 & Supplemental Chapter 11)

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Page 1: 12 Downstream Processing - Colorado School of Minesjjechura/Bioprocessing/12... · 2017-11-27 · 1. Cell removal If the cells are the product then little additional processing may

Downstream Processing (Textbook Chapter 11 & Supplemental Chapter 11)

Page 2: 12 Downstream Processing - Colorado School of Minesjjechura/Bioprocessing/12... · 2017-11-27 · 1. Cell removal If the cells are the product then little additional processing may

Updated: November 27, 2017John Jechura ([email protected])

Topics

Downstream processing needed to separate cell mass & other byproducts from the water solvent

Major categories Separation of solids & liquids

• Filtration• Centrifugation

Drying of solids• Dryness limited by the dryness of air & adhesion of water to solid

Separation of soluble components• Adsorption – chromatography as special case

2

Page 3: 12 Downstream Processing - Colorado School of Minesjjechura/Bioprocessing/12... · 2017-11-27 · 1. Cell removal If the cells are the product then little additional processing may

Updated: November 27, 2017John Jechura ([email protected])

Typical process to manufacture enzymes

3

Bioprocess Engineering Principles, 2nd edPauline Doran, Elsevier Science & Technology Copyright © 2012, Elsevier Inc. All rights Reserved.

Page 4: 12 Downstream Processing - Colorado School of Minesjjechura/Bioprocessing/12... · 2017-11-27 · 1. Cell removal If the cells are the product then little additional processing may

Updated: November 27, 2017John Jechura ([email protected])

Need for downstream processing

Fermentation products are formed in dilute solutions Remove water without harming the products formed Byproducts?

Biological products are labile (i.e., sensitive to temperature, solvents, etc.)

Fermentation broths are susceptible to contamination

4

Page 5: 12 Downstream Processing - Colorado School of Minesjjechura/Bioprocessing/12... · 2017-11-27 · 1. Cell removal If the cells are the product then little additional processing may

Updated: November 27, 2017John Jechura ([email protected])

General processing schemes

1. Cell removal If the cells are the product then

little additional processing may be required Removal of the cells may make

the separation of liquid species easier Options..

• Filtration• Microfiltration• Centrifugation

2. Cell disruption & cell debris removal Required if product is within the

cells• Cell debris must then be

removed Option

• High pressure homogenization

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Updated: November 27, 2017John Jechura ([email protected])

General processing schemes (cont.)

3. Primary isolation Remove components that are very

different from the product• May not be selective but

overall help the efficiency of other separation

Options…• Solvent extraction• Two-phase liquid extraction• Adsorption• Precipitation• Ultrafiltration

4. Product enrichment Separation of product for high

concentrations Option…

• Chromatography

5. Final isolation Depends on product, phase, &

final purity Options…

• Ultrafiltration (liquid)• Crystallization followed by

centrifugation, filtration, and drying (solids)

Page 7: 12 Downstream Processing - Colorado School of Minesjjechura/Bioprocessing/12... · 2017-11-27 · 1. Cell removal If the cells are the product then little additional processing may

Updated: November 27, 2017John Jechura ([email protected])

Generalized downstream processing schemes

7

Bioprocess Engineering Principles, 2nd edPauline Doran, Elsevier Science & Technology Copyright © 2012, Elsevier Inc. All rights Reserved.

Page 8: 12 Downstream Processing - Colorado School of Minesjjechura/Bioprocessing/12... · 2017-11-27 · 1. Cell removal If the cells are the product then little additional processing may

Updated: November 27, 2017John Jechura ([email protected])

Water Content & Drying

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Updated: November 27, 2017John Jechura ([email protected]) 9

Drying

Remove relatively small amounts of residual water and/or solvent May be necessary to minimize chemical or physical degradation

Relative terms – “dry” may range form 0 to 20 wt% water

Energy intensive operation

Page 10: 12 Downstream Processing - Colorado School of Minesjjechura/Bioprocessing/12... · 2017-11-27 · 1. Cell removal If the cells are the product then little additional processing may

Updated: November 27, 2017John Jechura ([email protected]) 10

Water Content of Air

Absolute humidity defined as the ratio of the mass of water in dryair

Relative humidity is the actual amount of water compared to the maximum amount at the same pressure & temperature

May also discuss properties of “wet bulb” temperature, …

Humidity W WW

air W air

m mm m m

w

Relative humidity 100% where WW Wsat

W

pp P

py

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Updated: November 27, 2017John Jechura ([email protected])

Water Content of Air

Example: What is the wet bulb temperature for air @ 80oF & 60% relative humidity?

Answer: 70oF

11

Ref: GPSA Data Book, 13th ed.

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Updated: November 27, 2017John Jechura ([email protected]) 12

Water Content of Solids

Bioprocess Engineering Principles, 2nd edPauline Doran, Elsevier Science & Technology Copyright © 2012, Elsevier Inc. All rights Reserved.

Page 13: 12 Downstream Processing - Colorado School of Minesjjechura/Bioprocessing/12... · 2017-11-27 · 1. Cell removal If the cells are the product then little additional processing may

Updated: November 27, 2017John Jechura ([email protected])

Mechanisms of Drying

Moisture transport in solids Molecular diffusion of liquid water Capillary flow of liquid water within porous solids Molecular diffusion of vapor evaporated within the solid Convective transport of vapor evaporated within the solid

When the drying rate is controlled by the vaporization of water from the surface then the heat transfer & mass transfer effects are balanced

13

s h ac G a

vap

h A T TN k a X X

H

Bioprocess Engineering Principles, 2nd edPauline Doran, Elsevier Science & Technology

Page 14: 12 Downstream Processing - Colorado School of Minesjjechura/Bioprocessing/12... · 2017-11-27 · 1. Cell removal If the cells are the product then little additional processing may

Updated: November 27, 2017John Jechura ([email protected])

Drying Time

Can define the rate of drying to the water content of the solids

Over the period of constant rate of drying

14

where ws

s

sA

mdXN m X

dt m

m dXn

A dt

0 1s

c sc

mXN m t X X

t N

Page 15: 12 Downstream Processing - Colorado School of Minesjjechura/Bioprocessing/12... · 2017-11-27 · 1. Cell removal If the cells are the product then little additional processing may

Updated: November 27, 2017John Jechura ([email protected])

Drying Example – Humidity of Air

Dry sodium benzyl penicillin to a moisture content of 20 wt% (wet basis). Use air at 25oC & 1 atmpressure in a fluidized bed drier. Assume equilibrium (open circles)

Target dry basis water content:

Required relative humidity – 65% (from chart)

Mole fraction water – water’s vapor pressure @ 25oC is 3.17 kPa

15

0

20 kg water0.25 25

80 100 kg dry massX

0.65 3.170.650.020

101.28

satw

w

p Py

P P

Page 16: 12 Downstream Processing - Colorado School of Minesjjechura/Bioprocessing/12... · 2017-11-27 · 1. Cell removal If the cells are the product then little additional processing may

Updated: November 27, 2017John Jechura ([email protected])

Drying Time Example

Want to dry 10 kg washed filter cake (wet basis) from 15% to 8% water (both wet bases) under constant drying conditions Drying area 1.2 m² Air temperature 35oC & surface temperature of solids 28oC Heat transfer coefficient 25 J/m²·sec·oC Drying time?

From initial conditions:

16

,0 ,0,0

,0

0

0.15 1.5 and 8.5100

1.50.176

8.5

w ww s

w s

m mm m

m m

X

Page 17: 12 Downstream Processing - Colorado School of Minesjjechura/Bioprocessing/12... · 2017-11-27 · 1. Cell removal If the cells are the product then little additional processing may

Updated: November 27, 2017John Jechura ([email protected])

Drying Time Example (cont.)

Final conditions

Rate of drying

Drying time

17

,1,1

,1

1

0.08 8.50.08 0.74

8.5 1 0.08

0.740.087

8.5

ww

w

mm

m

X

53

25 1.2 35 28 kg8.62 10

2435.4 10 secs h a

cvap

h A T TN

H

5

8.50.176 0.087 8770 sec 2.4 hr

8.62 10t

Page 18: 12 Downstream Processing - Colorado School of Minesjjechura/Bioprocessing/12... · 2017-11-27 · 1. Cell removal If the cells are the product then little additional processing may

Updated: November 27, 2017John Jechura ([email protected])

Freeze Drying

Wet solids are frozen then exposed to vacuum – water directly sublimes from solid to vapor state

Steps Freezing Primary drying (sublimation) Secondary drying (desorption)

18

Bioprocess Engineering Principles, 2nd edPauline Doran, Elsevier Science & Technology

Page 19: 12 Downstream Processing - Colorado School of Minesjjechura/Bioprocessing/12... · 2017-11-27 · 1. Cell removal If the cells are the product then little additional processing may

Updated: November 27, 2017John Jechura ([email protected])

Cell Removal

Page 20: 12 Downstream Processing - Colorado School of Minesjjechura/Bioprocessing/12... · 2017-11-27 · 1. Cell removal If the cells are the product then little additional processing may

Updated: November 27, 2017John Jechura ([email protected])

Filtration

Solid particles removed from a fluid suspension by forcing the fluid through a filter media which holds back the solid particles

Ease of filtration depends on the properties of the solid & fluid Crystalline incompressible solids fairly easy to filter, … Fermentation broths not so much

• Small particle size & gelatinous nature

May use filter aids to improve efficiency of filtration

20

Bioprocess Engineering Principles, 2nd edPauline Doran, Elsevier Science & Technology

Page 21: 12 Downstream Processing - Colorado School of Minesjjechura/Bioprocessing/12... · 2017-11-27 · 1. Cell removal If the cells are the product then little additional processing may

Updated: November 27, 2017John Jechura ([email protected])

Filtration Equipment

Plate & frame filter press Batch operation Accumulates solids. Must be opened & cleaned https://www.youtube.com/watch?v=M4wBd1_CvNw https://www.youtube.com/watch?v=aOQPr7Eomek

Rotary drum filters Can be operated continuously Can be operated at pressure with controlled atmosphere https://www.youtube.com/watch?v=zSflxzE0nIo

Horizontal belt filters Continuous operation Typically pull a vacuum below the filter https://www.youtube.com/watch?v=6voXE1HxYsY

21

Page 22: 12 Downstream Processing - Colorado School of Minesjjechura/Bioprocessing/12... · 2017-11-27 · 1. Cell removal If the cells are the product then little additional processing may

Updated: November 27, 2017John Jechura ([email protected])

Filtration Theory

Rate of filtration depends on the pressure drop across the cake andthe filter media

Rm is the resistance due to the filter media & is typically negligible compared to the resistance due to the cake Various correlations to relate (the specific cake resistance) to the cake

properties• Compressible cake Rigid particles

22

1 f

fsolids fff mf m

dV P P PcVA dt m cV

RRAAA

sP

2

3

1v

p

K a

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Updated: November 27, 2017John Jechura ([email protected])

Filtration Theory

Can integrate the reciprocal form…

Linearized form

23

0 0 0

2

1

2

f f

f f f mf

fff m

V Vtf f m

f f f

f f f mf

dV V RP dtA c

A dt dV A P PcVR

A

V RA dt c dV dV

A P P

c V RAt V

A P P

22f f m

ff

c RtV

V A P A P

Page 24: 12 Downstream Processing - Colorado School of Minesjjechura/Bioprocessing/12... · 2017-11-27 · 1. Cell removal If the cells are the product then little additional processing may

Updated: November 27, 2017John Jechura ([email protected])

Filtration Example

Can filter 30 mL broth from penicillin fermentation on 3 cm² filter in 4.5 min using 5 psi pressure drop. Neglect media resistance & use s=0.5:

Lab conditions to “tune” filter equation

Filter 500 L broth in 1 hour using 10 psi pressure drop

24

0.5sP P

0.5 0.5 2 0.52 0.5

22 2 2

2 2 3 4.5 5 psi min0.201

2 cm30f

f ff f

P c A t PtV c

V A P V

0.5

2 20.52 11500 cm 1.15 m

2 2f f

f ff

P c ctV A V

V A P t P

Page 25: 12 Downstream Processing - Colorado School of Minesjjechura/Bioprocessing/12... · 2017-11-27 · 1. Cell removal If the cells are the product then little additional processing may

Updated: November 27, 2017John Jechura ([email protected])

Filtration Example (cont.)

What if the cake is much less compressible? Let’s resize with s=0.1:

Lab conditions to “tune” filter equation

Filter 500 L broth in 1 hour using 10 psi pressure drop

Compressible cake will require more surface area

25

0.1sP P

0.1

2 20.92 10000 cm 1.0 m

2 2f f

f ff

P c ctV A V

V A P t P

0.5 0.1 2 0.92 0.9

22 2 2

2 2 3 4.5 5 psi min0.383

2 cm30f

f ff f

P c A t PtV c

V A P V

Page 26: 12 Downstream Processing - Colorado School of Minesjjechura/Bioprocessing/12... · 2017-11-27 · 1. Cell removal If the cells are the product then little additional processing may

Updated: November 27, 2017John Jechura ([email protected])

Centrifugation

Increase the “gravitational” field experienced by particles to promote faster settling times

Stoke’s law:

Z is the ratio of the acceleration due to the centrifuge relative to the acceleration due to gravity (the g-force), 2r/g Industrial centrifuges can achieve 16,000, small lab centrifuges up to

500,000

26

2 2 2

18 18p L p L

g p C pL L

u d g u d r

Bioprocess Engineering Principles, 2nd edPauline Doran, Elsevier Science & Technology

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Updated: November 27, 2017John Jechura ([email protected])

Equipment – Tubular Bowl Centrifuge

27

http://slideplayer.es/slide/7225569/24/images/11/EQUIPOS+DE+CENTRIFUGACI%C3%93N.jpg

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Updated: November 27, 2017John Jechura ([email protected])

Equipment – Disc Stack Bowl Centrifuge

28

Bioprocess Engineering Principles, 2nd edPauline Doran, Elsevier Science & Technology

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Updated: November 27, 2017John Jechura ([email protected])

Equipment – Disc Stack Bowl Centrifuge

Can be run in batch or continuous modes Batch mode – equipment stopped,

opening up, & solids removed Continuous – either side discharge or

movement of solids out the top• Disadvantage – the solids must

remain wet to allow them to move

Video: Alfa Laval PX Disc Stack Centrifuge https://www.youtube.com/watch?v=

ZmTMz4VkAwI

29

http://www.alfalaval.com/globalassets/images/products/separation/centrifugal-separators/disc-stack-separators/sx-bowl_440x360.png

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Updated: November 27, 2017John Jechura ([email protected])

Equipment – Decanter Separator

Andritz 2-phase decanter with CIP (clean in place) Video: https://www.youtube.com/watch?v=OqEODWcJwnY

30

http://www.gn-decanter-centrifuge.com/mud/wp-content/uploads/2012/09/decanter-1.png

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Updated: November 27, 2017John Jechura ([email protected])

Centrifuge Performance

Relate the performance based on the centrifuge’s cross-sectional area to that of a gravity separator

Two centrifuges that operate with equal effectiveness

Disc stack bowl centrifuge

Tubular bowl centrifuge

31

2 g

Qu

1 2

1 2

Q Q

23 32 1

2 1

3 tan

Nr r

g

2 2 2

2 22 1

23

2b br

r rg g

Page 32: 12 Downstream Processing - Colorado School of Minesjjechura/Bioprocessing/12... · 2017-11-27 · 1. Cell removal If the cells are the product then little additional processing may

Updated: November 27, 2017John Jechura ([email protected])

Centrifuge Example

Use continuous disc stack centrifuge @ 5000 rpm to recover 50% baker’s yeast cells at 60 L/min. Found that at constant rpm the solids recovery factor is inversely proportional to flow rate

At 5000 rpm what flow rate will give 90% solids recovery?

What rpm necessary to get 90% recovery @ 60 L/min? At equal effectiveness by adjusting flowrate:

By adjusting rotational speed:

32

12 1

2

1 0.560 33.3 L/min

0.9Y

Y Q QQ Y

1 2 2 2

1 2 1 1

33.30.556

60Q Q Q

Q

22 2 1

221 1

0.556 6710 rpm0.556

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Updated: November 27, 2017John Jechura ([email protected])

Separation of Soluble Components

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Updated: November 27, 2017John Jechura ([email protected])

Separation of Soluble Components

Liquid-liquid extraction

Precipitation Followed by solid/liquid separation & possibly drying

Adsorption Chromatography a special case

Membrane separations Dialysis (separation by selective membrane) Reverse Osmosis – transport of water from low to higher concentration Ultrafiltration & microfiltration Electrodialysis

Crystallization

34

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Updated: November 27, 2017John Jechura ([email protected])

Absorption vs Adsorption

35

Absorption Adsorption

From Prof. Art Kidnay

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Updated: November 27, 2017John Jechura ([email protected])

Adsorption

Chemical species cling to the surface of the adsorbent allowing species that don’t adsorb to pass on by

Equilibrium relationship between components in liquid & to surface

Differential material balance in a packed bed column

Including overall mass transfer coefficient

36

*

1/* * ** (Freundlich) (Langmuir)

1

nLSm L L

S F L SL L

C K CC K C C

K C

1 SL L CC Cu

z t t

* *1S L LL L L L L L

dC C CK a C C u K a C C

dt z t

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Updated: November 27, 2017John Jechura ([email protected])

Adsorption (cont.)

Approximate steady flow through fixed-bed adsorption column as a steady-state moving-bed operation

Can integrate to determine the height of a column for a particular degree of separation

Need the equilibrium relationship to fully integrate

37

*1LL L L

dCu K a C C

dz

0

*0 1

L

L

CHL

L L LC

dCuH dz

K a C C

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Updated: November 27, 2017John Jechura ([email protected])

Adsorption (cont.)

Mass balance considerations on the adsorbentprovides an operating line & relates the concentrations in the liquid & on the solid

F is the liquid volumetric flow (uA) & B is the resin’s volumetric flow

38

*0 0

0*0

0 0L S

LL

S S

F C B C

CCBF C C

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Updated: November 27, 2017John Jechura ([email protected])

Adsorption (cont.)

Fixed beds can be thought to have three zones: Saturated zone Adsorption zone – also called the mass transfer zone Virgin zone

We would stop flow before the adsorption zone gets to the exit (i.e., before the virgin zone goes completely to zero)

If we let the zones travel through the column then we would get a typical breakthrough curve

39

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Adsorption (cont.)

40

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Adsorption Example

Separate cephalosporin on to an ion-exchange resin Bed is 4 cm diameter Resin density is 1.3 g/cm³ & packed to 0.8 cm³ resin per cm³ bed Feed solution CL0 = 5 g/L Broth superficial velocity u = 1.5 m/h & broth to resin feed ratio F/B = 10 Equilibrium relationship CS = 25 (C*

L)1/2 & mass transfer KLa = 15 h-1

What is the height necessary to get CL = 0.2 g/L?

41

*00 0*

0

1/2 2* * * *2 2

110 and 10

10

1 125 10 0.16

625 625

LLS L S L

S S

S L L S L L

CCBC C C C

F C C

C C C C C C

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Updated: November 27, 2017John Jechura ([email protected])

Adsorption Example (cont.)

Substitute into integral equation for the height

Amount of resin needed?

42

0

*

5

20.2

5

0.2

1

1.50.8 15 0.16

1.5ln

0.8 15 1 0.16

0.6 m

L

L

CL

L L LC

L

L L

L

L

dCuH

K a C C

dCC C

CC

22

resin resin

41.3 60 980 g

4 4D

m H

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Updated: November 27, 2017John Jechura ([email protected])

Chromatography

Form of adsorption where chemical species adsorb & desorb at different rates Those species that interact most strongly with the stationary phase will elute

later than those species that weakly interact Separation of a “pulse” of mixture

• Followed up by more solvent• Recovered material separated from the other species of the original

mixture but diluted with more solvent• Can obtain multiple products from each pulse

We’ll focus on chromatography as a batch process Continuous & semi-continuous options

• Moving Bed Chromatography• Simulated Moving Bed Chromatography

43

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Updated: November 27, 2017John Jechura ([email protected])

Chromatography

Concentrations in the separation of mixture with 3 solutes

Species that adsorb onto the stationary phase the least will elute the earliest

44

Bioprocess Engineering Principles, 2nd edPauline Doran, Elsevier Science & Technology

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Updated: November 27, 2017John Jechura ([email protected])

Chromatography Methods

Adsorption chromatography (ADC) Controlled by weak van der Waals

forces & steric interactions

Liquid-liquid partition chromatography (LLC)

Ion-exchange chromatography (IEC) Adsorption of ions on resin particles

by electrostatic forces Widely used, especially for protein

recovery

Gel Permeation Chromatography –Size Exclusion Chromatography Smaller molecules wander into the

pores of the solid

Affinity chromatography (AFC) Based on specific chemical

interactions between solute molecules & ligands Possible to get very high resolution

(degree of separation) but expensive sorbent

Hydrophobic chromatography (HC)

High-pressure liquid chromatography (HPLC)

45

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Updated: November 27, 2017John Jechura ([email protected])

Chromatography Separation of Peaks

The species will move through the chromatography column slower than the rest of the solvent – differential migration

Given enough column length the species will elute from column with little to no overlap

46

Bioprocess Engineering Principles, 2nd edPauline Doran, Elsevier Science & Technology

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Updated: November 27, 2017John Jechura ([email protected])

Chromatography Zone Spreading

Elution bands spread out so each solute takes time to pass across the end of the column

Factors that lead to zone spreading Axial diffusion Eddy diffusion Local nonequilibrium effects

Minimize zone spreading by improving mass transfer more closely approach equilibrium between the phases Good: increasing the particle surface area per unit volume Bad: increasing liquid flow rate

47

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Updated: November 27, 2017John Jechura ([email protected])

Chromatography Separation of Peaks

Descriptors Ve – volume of eluting solvent needed to carry the solute through column Vo – void volume in the column (·Vempty)

• In gel chromatography (size exclusion) there is also a volume term for the interstitial volume only accessible by the smaller molecules

ki – capacity factor for species “i”

– selectivity between components “1” & “2”

48

,e i oi

o

V Vk

V

1

2

kk

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Chromatography Separation of Peaks

Descriptors based on solute peaks as normal distributions ymax,i – Maximum concentration of eluting peak tmax,i – Time at which peak elutes – Standard deviation of peak shape

49

2

max,max, 2

max,

exp2

ii i

i

t ty y

t

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Updated: November 27, 2017John Jechura ([email protected])

Chromatography Separation of Peaks

Descriptors based on solute peaks as normal distributions Yi –Yield of solute (ratio amount recovered

to total in original mixture & recoverable)

Cumulative yield for normal distribution

Incremental yield the difference between the cumulative yields @ two times

50

0,

0

t

i

t i

i

Vy dtY

Vy dt

max,,

max,

11 erf

2 2i

t ii

t tY

t

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Updated: November 27, 2017John Jechura ([email protected])

Chromatography Separation of Peaks

Descriptors based on solute peaks as normal distributions Excel has functions for normal Gaussian distributions – scaled so that the

cumulative amount is 1

Cumulative: NORM.DIST( x, mean, standard_dev, TRUE )

Differential: NORM.DIST( x, mean, standard_dev, FALSE )

51

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Updated: November 27, 2017John Jechura ([email protected])

Chromatography Separation of Peaks

Descriptors based on solute peaks as normal distributions 2 is essentially a Peclet number – ratio of flowrate to reaction rate

• Value depends on the rate controlling step

52

2 /

a a

u V Ak L k L

22

1/2 3/22

22

Internal diffusion control

/External film control

Taylor diffusion

udL

u dL

udDL

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Updated: November 27, 2017John Jechura ([email protected])

Chromatography Separation of Peaks

Descriptors based on HETP concept N – Number of theoretical stages (theoretical plates)

HETP – Height of a theoretical plate (L = length of column)

53

2

16 eVN

w

Bioprocess Engineering Principles, 2nd edPauline Doran, Elsevier Science & Technology

LH

N

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Updated: November 27, 2017John Jechura ([email protected])

Chromatography Separation of Peaks

Resolution – ratio distance of solute to solvent Resolution between two adjacent peaks

Assume the spreading is about the same (w2 = w1) & use concept of number of theoreticalstages…

54

max, max,

, ,

,2 ,1max, max,

2 1max, max,

12

21

4 4 42

j iS

w j w i

e ej i

j j i i

t tR

t t

V Vt t

w wt t

,2 ,1 ,2 ,1 2

,2 2

1 1 14 4 1

e e e eS

e

V V V V kR N N

w V k

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Updated: November 27, 2017John Jechura ([email protected])

Chromatography Material Balance

Assume downward flow through a fixed-bed chromatography column – adsorbed species come to very quick equilibrium with the adsorbent

Following a small pulse (moving reference system)

Integrated form…

Uses equilibrium relationship…

55

0SL L CC CA

x V V

f and f f/S L L LC M C C d dC

f L

Vx

A M C

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Updated: November 27, 2017John Jechura ([email protected])

Chromatography Material Balance Example #1

Chromatography column 10 cm long with cross sectional. Packed with adsorbent, =0.35 & M=50 mg adsorbent per mL column volume. Adsorption isotherm given by:

Determine position of the solute band & solvent front when ΔV=250 mL & CL=0.05 mg/mL Solvent front:

Solute:

56

3f 0.2L LC C

3

2

250 cm71.4 cm

10 cm 0.35

Vx

A

22f 0.6 f 0.6 0.05 0.0015

25058.8 cm

f 10 0.35 50 0.0015

L L L

L

C C C

Vx

A M C

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Updated: November 27, 2017John Jechura ([email protected])

Chromatography Material Balance Example #2

Ion-exchange chromatography to purify 20 g of Protein A. Operate column @ 20 cm/hr. Peak exits at 80 min (tmax) with 10 min standard deviation ( tmax).

How long must the column be run to get 95% yield?

By iterative solution t = 96.4 min

57

max,,

max,

1erf 1

2 2

801erf 1 0.95

2 2 10

it i

i

t tY

t

t

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Updated: November 27, 2017John Jechura ([email protected])

Chromatography Material Balance Example #3

Let’s double the flowrate to 40 cm/hr. Assume the peak spreading depends on Taylor diffusion.

How long must the column be run to get 95% yield? Adjust the tmax & parameters

By iterative solution t = 51.6 min

58

,

401erf 1 0.95

2 2 0.177 40t i

tY

max,2 1max,2

max,1 2

22 2

2 121 1

20 cm/hr0.5 40 min

40 cm/hr

102 2 2 0.177

80

t ut

t u

uu

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Updated: November 27, 2017John Jechura ([email protected])

Material Balance Examples #2 & #3

Example #3 requires relatively more time because of the change in peak shape at the two velocities

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Updated: November 27, 2017John Jechura ([email protected])

Summary

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Updated: November 27, 2017John Jechura ([email protected])

Summary

Downstream processing needed to separate cell mass & other byproducts from the water solvent

Major categories Separation of solids & liquids

• Bulk separation – chemical species remain in their respective phases• Types

o Filtrationo Centrifugation

Drying of solids• Dryness limited by the dryness of air & adhesion of water to solid

Separation of soluble components• Adsorption – chromatography as special case

61