Abstract. The authors propose and validate the mathematical models for the optimal control of dynamic processes in the functional systems of breathing, blood flow, erythropoesis, and heat exchange based on the solution of multiobjective optimization problems. The intra- and intersystem interactions are analyzed for a body in highland and strenuous physical activity.

Keywords: mathematical modeling, optimal control, mechanisms of the interaction of respiratory, circulatory, heat exchange, and erythropoiesis functional systems.