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S. Timischl, J. J. Batzel and F. Kappel, “Modeling the Human Cardiovascular Respiratory Control System: An Optimal Control Application to the Transition to Non REM Sleep,” Spezialforschungsbereich F-003 Technical Report 190, Karl Franzens Universitat, 2000.

has been cited by the following article:

• 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.