Optimal control in a mathematical model for leukemia therapy with phase constraints
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We examine the optimal control problem that arises in the mathematical modeling of leukemia therapy, to solve which the Pontryagin maximum principle and the penalty function method are employed. It is assumed that the drug is capable of killing not only diseased cells, but healthy cells as well. The character of the drug’s interaction with cells is described by appropriate therapy functions.
KeywordsCancer leukemia optimal control therapy
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- 1.E. K. Afenya and C. P. Calderon, “A Brief Look at Normal Cells Decline and Inhibition in Acute Leukemia,” J. Can. Det. Prev. 20(3), 171–191 (1996).Google Scholar
- 3.M. Gyllenberg and G. F. Webb, “Quiescence As An Explanation of Gompertzian Tumor Growth,” Growth Dev. Aging 53(1), 25–33 (1989).Google Scholar
- 7.F. P. Vasil’ev, Optimization Methods (MTsNMO, Moscow, 2011) [in Russian].Google Scholar