Abstract
A mathematical model which can express glucose-induced insulin release from bioartificial pancreas (BAP) was developed using Pick's Second law of diffusion and Nomura's mathematical formula of insulin release of native islet. The validity of the model was certified by comparing experimental insulin release with predicted values from the mathematical model. Islets were microencapsulated in agarose microbeads and perifusion studies were carried out. Our mathematical model well reproduced the experimental data. Insulin release behaviors from various type bioartificial pancreas suchas microbead, rod and tablet were formulated by our mathematical model. It predicts that the rate of insulin release depends on the thickens of the hydroel membrane rather than the shape of BAP. Native islet shows two phase glucose-induced insulin secretion. As thicker the hydrogel membrane is, the first phase insulin release retards and disappears. The obtained mathematical model should be useful in the future design of a bioartificial pancreas.
