Application of Optimal Control Theory to Analysis of Transportation through a Biological Membrane

Abstract

An optimal control theory was applied for analysis of transportation of biological substances through a biological membrane. The performance function minimized the rate of change in the number of particles involved in each layer of the membrane. Rapid changes were manifested in the layer facing the outer boundary of the cell and inner surface. The effects of changes in the rate of absorption, desorption and transportation through each layer of the membrane evpanded to all of the layers composing the biological membrane. The present theory would be applicable for creating artificial biological membranes.