We proposed a mathematical method for the optimal control in the carrier mediated transport across the biological membrane. This paper refers to the condition when the rate constant is a function of concentration of the spccics. Based on the optimal control principle, optimized six non linear differential equations of the four step transport across the membrane wcrc obtained. These equations wcrc restricted by the rigorous boundary conditions. Increases in weighting coefficients by the factor of ten significantly influenced the optimized time courses of the concentrations of the species and the optimized control inputs. The coordinated temporal changes in the species and control inputs could be explaincd by the compensatory rcaction of the system so as to minimize the disturbances of the mcmbranc transport. The present work will be available for evaluating the biological membrane functions.