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D. Gammack, H. M. Byrne and C. E. Lewis, “Estimating the Selective Advantage of Mutant p53 Tumour Cells to Repeated Rounds of Hypoxia,” Bulletin of Mathematical Biology, Vol. 63, No. 1, 2001, pp. 135-166. doi:10.1006/bulm.2000.0210

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.