The objective of this study was to investigate the phenomenon and kinetics of insulin chemisorption by cation-exchange acrylic fibers, as well as the development of theoretical modeling of the chemisorption process. Change of the insulin concentration in solution was determined by UV spectrophotometric method. The profile of insulin concentration in the fiber was determined by application of mathematical model. The developed mathematical model describes the chemisorption process using fractional kinetics equations of diffusion. Taking all the relevant conditions, regarding this experiment, into consideration, the coefficient of insulin diffusion into the fiber, overdamped effect parameter, as well as the concentration ratio parameter were determined by the mathematical model. Proposed modeling approach is useful for the description of transport dynamics in complex systems as polymer transport through the porous matrices, which are governed by anomalous diffusion. (c) 2007 Wiley Periodicals, Inc.