On an Optimal Control Problem Describing Lactate Transport Inhibition

Hawraa Alsayed (), Hussein Fakih (), Alain Miranville () and Ali Wehbe ()
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Hawraa Alsayed: Université de Poitiers
Hussein Fakih: Lebanese University
Alain Miranville: Université de Poitiers
Ali Wehbe: Lebanese University

Journal of Optimization Theory and Applications, 2023, vol. 198, issue 3, No 7, 1049-1076

Abstract: 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.

Keywords: Monocarboxylate transporters; Glioma treatment; Lactate dehydrogenase transport; First-order necessary optimality conditions; 49K15; 49J15; 92B05; 34A34; 92C45 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s10957-023-02271-8

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