The diffusion of proteins in adsorbent particles is an important step
in gradient elution processes used for protein purification. A mathema
tical model, which takes into account the combined effects of axial di
spersion, film mass-transfer resistance, intraparticle diffusion and a
dsorption equilibrium, was used to simulate the gradient elution proce
ss in a diethylaminoethyl ion-exchange chromatography. The effects of
three important factors: intraparticle diffusivity, adsorbent particle
diameter, and linear gradient slope on the separation of beta-lactogl
obulin A and beta-lactoglobulin B were investigated individually. The
restricted diffusion correlation was used to estimate protein intrapar
ticle diffusivities in polymer matrices using the molecular weight of
the protein and the polymer concentration (Boyer, P. M. and Hsu, J. T.
AIChE J. 1992, 38, 259). The combined effects of these three factors
on the resolution of beta-lactoglobulin A and beta-lactoglobulin B sep
aration were also studied. A general strategy for design and optimizat
ion of gradient elution process for biochemical separations was sugges
ted based on our investigation.