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Large-scale gradient elution chromatography

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Book cover Bioseparation

Part of the book series: Advances in Biochemical Engineering/Biotechnology ((ABE,volume 47))

Abstract

The goal of this chapter is to provide practical strategies for large scale separations by gradient elution chromatography. A detailed model has been developed for gradient elution systems considering interference effect, longitudinal diffusion, film mass transfer, intraparticle diffusion, mixing mechanism of the mobile phases, Langmuir-type adsorption and desorption kinetics. This detailed model can be solved by an efficient and robust numerical procedure. Hence, the optimizaton strategy of gradient elution has been developed through the calculation using this detailed model. This detailed model can precisely predict the band position, profile and width at various gradient concentrations, gradient periods, flowrates, and column lengths, in fair agreement with the experimental results. As a result of optimization, an optimal column length may exist. All the input parameters in this model have been either experimentally measured or estimated through empirical correlations. An alternative instrument for large-scale production using gradient elution has been suggested compared with conventional gradient elution instrument. The tolerance of the gradient elution processes to the fluctuation of input parameters has also been discussed.

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Abbreviations

a:

constant in Langmuir adsorption equation (-)

A:

mobile phase component which has stronger affinity with the stationary phase

b:

constant in Langmuir adsorption equation (M)−1

B:

mobile phase component which has weak affinity with the stationary phase

C:

concentration (M)

Cb :

eluate concentration (M)

CHY-A:

a-chymotrypsinogen A

Cm :

eluent concentration (M)

CYT-C:

cytochrome C

d:

molecular diameter (cm)

dp:

pore diameter (cm)

D:

Brownian diffusivity (cm2 s−1)

Db :

axial dispersion coefficient (cm2 s−1)

Dp :

intraparticle diffusivity (cm2 s−1)

F:

flowrate (ml s−1)

k:

film mass transfer coefficient (cm s−1)

k′:

capacity factor (-)

L:

column length (cm)

LYS:

lysozyme

Mr:

molecular weight (-)

PeL :

Peclet number of axial dispersion, vLDb −1 (-)

Re:

Reynolds number, 2Rpεbvρη−1 (-)

RIB-A:

ribonuclease A

Rp :

particle radius (cm)

Sc:

Schmidt number, ηr−1D−1 (-)

t:

time (s)

tR :

retention time (s)

tw :

band width (s)

v:

interstitial velocity (cm s−1)

V:

liquid volume (ml)

Vm :

internal volume of the mixer (ml)

Vs :

specific volume (ml g−1)

z:

ZL −1 (-)

Z:

axial coordinate (cm)

Z′:

proportional coefficient (-)

α:

constant coefficient (-)

Β:

constant coefficient (-)

δ:

standard deviation of the Gaussian band (-)

εb :

bed void fraction (-)

εp :

particle porosity (-)

η:

viscosity of the mobile phase (g cm−1 s−1)

γ:

constant coefficient (-)

λ:

ddp −1 (-)

ρ:

density of the mobile phase (g ml−1)

Τ:

tvL−1 (-)

Τimp :

dimensionless time duration of the sample injection (-)

i:

ithcomponent

0:

initial value

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Authors and Affiliations

  1. School of Chemical Engineering, and Laboratory of Renewable Resources Engineering, A. A. Potter Engineering Center, Purdue University, West Lafayette, IN, USA

    Yung-Huoy Truei, Tingyue Gu, Gow-Jen Tsai & George T. Tsao

Authors
  1. Yung-Huoy Truei
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  2. Tingyue Gu
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  3. Gow-Jen Tsai
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  4. George T. Tsao
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G. T. Tsao

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© 1992 Springer-Verlag

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Truei, YH., Gu, T., Tsai, GJ., Tsao, G.T. (1992). Large-scale gradient elution chromatography. In: Tsao, G.T. (eds) Bioseparation. Advances in Biochemical Engineering/Biotechnology, vol 47. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0046196

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  • DOI: https://doi.org/10.1007/BFb0046196

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55551-3

  • Online ISBN: 978-3-540-47211-7

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