TITLE:
An Optimal Control Problem for Hypoxemic Hypoxia Tissue-Blood Carbon Dioxide Exchange during Physical Activity
AUTHORS:
Jean Marie Ntaganda, Benjamin Mampassi
KEYWORDS:
Arterial Oxygen Pressure; Arterial Dioxide Pressure; Cardiovascular/Respiratory System; Optimal Control Problem; Numerical Simulation
JOURNAL NAME:
Open Journal of Applied Sciences,
Vol.3 No.1,
March
29,
2013
ABSTRACT: This paper aims at solving an optimal control problem for determining the response of hypoxia to heart rate and alveolar ventilation that are cardiovascular and respiratory control respectively during a physical activity. A two nonlinear coupled ordinary differential equations is presented. The cost function of optimal control problem is discretized using the linear B-splines functions defined on a regular grid. The results show the determinant parameters stabilized at normal value.