Mathematical modeling of insulin sorption by ion‐exchange fiber

Received 10 February 2006; accepted 4 October 2006DOI 10.1002/app.25578Published online in Wiley InterScience (www.interscience.wiley.com).ABSTRACT: The objective of this study was to investi-gate the phenomenon and kinetics of insulin chemisorp-tion by cation-exchange acrylic fibers, as well as the devel-opment of theoretical modeling of the chemisorption pro-cess. Change of the insulin concentration in solution wasdetermined by UV spectrophotometric method. The profileof insulin concentration in the fiber was determined byapplication of mathematical model. The developed mathe-matical model describes the chemisorption process usingfractional kinetics equations of diffusion. Taking all the rel-evant conditions, regarding this experiment, into consider-ation, the coefficient of insulin diffusion into the fiber,overdamped effect parameter, as well as the concentrationratio parameter were determined by the mathematicalmodel. Proposed modeling approach is useful for thedescription of transport dynamics in complex systems aspolymer transport through the porous matrices, which aregoverned by anomalous diffusion.