An Optimal Control Problem for Hypoxemic Hypoxia Tissue-Blood Carbon Dioxide Exchange during Physical Activity


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.

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J. Ntaganda and B. Mampassi, "An Optimal Control Problem for Hypoxemic Hypoxia Tissue-Blood Carbon Dioxide Exchange during Physical Activity," Open Journal of Applied Sciences, Vol. 3 No. 1, 2013, pp. 56-61. doi: 10.4236/ojapps.2013.31009.

Conflicts of Interest

The authors declare no conflicts of interest.


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