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Protein adsorption on Ion exchange resin: Estimation of equilibrium isotherm parameters from batch kinetic data

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Abstract

The simple Langmuir isotherm is frequently employed to describe the equilibrium behavior of protein adsorption on a wide variety of adsorbents. The two adjustable parameters of the Langmuir isotherm—the saturation capacity, orq m, and the dissociation constant,K d—are usually estimated by fitting the isotherm equation to the equilibrium data acquired from batch equilibration experiments. In this study, we have evaluated the possibility of estimatingq m andK d for the adsorption of bovine serum albumin to a cation exchanger using batch kinetic data. A rate model predicated on the kinetic form of the Langmuir isotherm, with three adjustable parameters (q m,K d, and a rate constant), was fitted to a single kinetic profile. The value ofq m determined as the result of this approach was quantitatively consistent with theq m value derived from the traditional batch equilibrium data. However, theK d value could not be retrieved from the kinetic profile, as the model fit proved insensitive to this parameter. Sensitivity analysis provided significant insight into the identifiability of the three model parameters.

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Abbreviations

a :

parameter defined in Eq. 6(a), μmol/L

A :

adsorption site on adsorbent surface

b :

parameter defined in Eq. 6(b), μmol/L

c :

protein concentration in the solution phase at timet, μmol/L

c e :

protein concentration of solution phase at equilibrium, μmol/L

c i :

initial protein concentration of solution phase, μmol/L

k 1 :

forward rate constant, L/μmol·s

k 2 :

backward rate constant, 1/s

K d :

Langmuir dissociation constant, μmol/L

P :

protein molecule in the solution phase

PA :

protein-adsorbent complex

q :

protein concentration in the adsorbent phase at timet, μmol/L

q e :

protein concentration in the adsorbent phase at equilibrium, μmol/L

q m :

saturation capacity of the adsorbent, μmol/L

SSE :

sum of squares of error

t :

time, s

v :

settled volume of adsorbent, L

V :

volume of protein solution, L

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Authors and Affiliations

  1. Department of Chemical and Process Engineering, University of Canterbury, Private Bag 4800, Christchurch, New Zealand

    K. H. Chu

  2. Department of Chemical Engineering, University of Malaya, 50603, Kuala Lumpur, Malaysia

    M. A. Hashim

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  1. K. H. Chu
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  2. M. A. Hashim
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Correspondence to K. H. Chu.

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Chu, K.H., Hashim, M.A. Protein adsorption on Ion exchange resin: Estimation of equilibrium isotherm parameters from batch kinetic data. Biotechnol. Bioprocess Eng. 11, 61–66 (2006). https://doi.org/10.1007/BF02931870

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