Modelling Blood and Pulmonary Pressure for Solving a Performance Optimal Problem for Sportsmen

Abstract EN

This paper aims at designing a three-compartmental mathematical model for determining the impact and response of blood pressures on cardiovascular and respiratory parameters.

Three nonlinear ordinary differential equations are derived from three compartments.

Stability conditions are established and inverse techniques are proposed for identifying model parameters.

To test the efficiency of the found model, a validation is achieved based on an existing mathematical model through a comparative study.