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Optimal control in a mathematical model for leukemia therapy with phase constraints

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Abstract

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.

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Authors and Affiliations

  1. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119992, Russia

    A. S. Bratus & A. S. Goncharov

  2. Mannheim University of Applied Sciences, Mannheim, 68163, Germany

    I. T. Todorov

Authors
  1. A. S. Bratus
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  2. A. S. Goncharov
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  3. I. T. Todorov
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Corresponding author

Correspondence to A. S. Bratus.

Additional information

Original Russian Text © A.S. Bratus, A.S. Goncharov, I.T. Todorov, 2012, published in Vestnik Moskovskogo Universiteta. Vychislitel’naya Matematika i Kibernetika, 2012, No. 4, pp. 25–28.

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Bratus, A.S., Goncharov, A.S. & Todorov, I.T. Optimal control in a mathematical model for leukemia therapy with phase constraints. MoscowUniv.Comput.Math.Cybern. 36, 178–182 (2012). https://doi.org/10.3103/S0278641912040024

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  • DOI: https://doi.org/10.3103/S0278641912040024

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