Fuzzy Logic for Solving an Optimal Control Problem of Hypoxemic Hypoxia Tissue Blood Carbon Dioxide Exchange during Physical Activity

Jean Marie Ntaganda¹, Mahamat Saleh Daoussa Haggar^2*, Benjamin Mampassi³

¹Department of Applied Mathematics, School of Pure and Applied Sciences, College of Science and Technology, University of Rwanda, Kigali, Rwanda.
²N’Djamena University, N’Djamena, Chad.
³Cheikh Anta Diop University, Dakar, Senegal.

DOI: 10.4236/ojapps.2014.411049                

Abstract

This paper aims at using of an approach integrating the fuzzy logic strategy for hypoxemic hypoxia tissue blood carbon dioxide human optimal control problem. To test the efficiency of this strategy, the authors propose a numerical comparison with the direct method by taking the values of determinant parameters of cardiovascular-respiratory system for a 30 years old woman in jogging as her regular physical activity. The results are in good agreement with experimental data.

Keywords

Fuzzy Logic, Optimal Control, Membership Function, Membership Degree, Hypoxemic-Hypoxia, Pressure, Carbon Dioxide, Oxygen, Numerical Simulation

Conflicts of Interest

The authors declare no conflicts of interest.

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