Table of Contents
ISRN Applied Mathematics
Volume 2012, Article ID 470143, 16 pages
http://dx.doi.org/10.5402/2012/470143
Research Article

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

Department of Applied Mathematics, National University of Rwanda, B. P 117 Butare, Rwanda

Received 10 November 2011; Accepted 14 December 2011

Academic Editors: H. Akçay, F. Lamnabhi-Lagarrigue, and C. Lu

Copyright © 2012 Jean Marie Ntaganda. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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.