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On an Optimal Control Problem Describing Lactate Transport Inhibition

Author

Listed:
  • Hawraa Alsayed

    (Université de Poitiers
    Lebanese University
    Lebanese International University (LIU)
    Department of Mathematics and Physics, Lebanese International University of Beirut BIU)

  • Hussein Fakih

    (Lebanese University
    Lebanese International University (LIU)
    Department of Mathematics and Physics, Lebanese International University of Beirut BIU)

  • Alain Miranville

    (Université de Poitiers
    Xiamen University)

  • Ali Wehbe

    (Lebanese University)

Abstract

In this paper, the effect of inhibition of monocarboxylate transporters on intracellular and capillary lactate concentrations is investigated using an optimal control problem. A control term representing the concentration of the inhibitor is used in an ODE model that models lactate kinetics between the cell and the capillary. Finally, some numerical simulations were performed to confirm the efficiency of the control term for the problem.

Suggested Citation

  • Hawraa Alsayed & Hussein Fakih & Alain Miranville & Ali Wehbe, 2023. "On an Optimal Control Problem Describing Lactate Transport Inhibition," Journal of Optimization Theory and Applications, Springer, vol. 198(3), pages 1049-1076, September.
    • Handle: RePEc:spr:joptap:v:198:y:2023:i:3:d:10.1007_s10957-023-02271-8
    DOI: 10.1007/s10957-023-02271-8
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