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Dynamic ultrafiltration model for proteins: A colloidal interaction approach
Author(s) -
Bowen W. Richard,
Williams Paul M.
Publication year - 1996
Publication title -
biotechnology and bioengineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.136
H-Index - 189
eISSN - 1097-0290
pISSN - 0006-3592
DOI - 10.1002/(sici)1097-0290(19960420)50:2<125::aid-bit2>3.0.co;2-o
Subject(s) - ultrafiltration (renal) , colloid , chemistry , computational biology , biochemical engineering , chromatography , biology , engineering , organic chemistry
A rigorous dynamic mathematical model for predicting the rate of ultrafiltration of proteins has been developed. The model is based on sophisticated descriptions of the protein–protein interactions within the layer close to the membrane surface which are responsible for controlling permeation rate. Electrostatic interactions are accounted for by a Wigner–Seitz cell approach, including a numerical solution of the nonlinear Poisson–Boltzmann equation. London–van der Waals forces are calculated using a computationally efficient means of approximating screened, retarded Lifshitz–Hamaker constants. Configurational entropy effects are calculated using an equation of state giving excellent agreement with molecular dynamic data. Electroviscous effects are also taken into account. These descriptions of protein–protein interactions are used to develop an a priori model, with no adjustable parameters, that allows quantitative prediction of the rate of filtration of proteins as a function of zeta potential (and hence pH), ionic strength, applied pressure, protein size, and membrane resistance. A comparison with experimental data for the filtration of bovine serum albumin (BSA) shows that the model is in excellent agreement with such data. © 1996 John Wiley & Sons, Inc.