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 Izv. Vyssh. Uchebn. Zaved. Mat., 2012, Number 7, Pages 63–67 (Mi ivm8723)

Brief communications

On solving the optimization problem for chemotherapy process in terms of the maximum principle

V. A. Srochko

Chair of Computational Mathematics and Mechanics, Irkutsk State University, Irkutsk, Russia

Abstract: We consider the problems of optimal control for chemotherapy process based on a well-known dynamic model. The solution method is related to combining the control modes that appear according to the Pontryagin maximum principle. We construct extreme procedures of control with special sections that amplify the known strategies of therapy within the given model.

Keywords: optimal control problem, maximum principle, extremal processes.

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English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, 56:7, 55–59

Bibliographic databases:

UDC: 517.977

Citation: V. A. Srochko, “On solving the optimization problem for chemotherapy process in terms of the maximum principle”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 7, 63–67; Russian Math. (Iz. VUZ), 56:7 (2012), 55–59

Citation in format AMSBIB
\Bibitem{Sro12} \by V.~A.~Srochko \paper On solving the optimization problem for chemotherapy process in terms of the maximum principle \jour Izv. Vyssh. Uchebn. Zaved. Mat. \yr 2012 \issue 7 \pages 63--67 \mathnet{http://mi.mathnet.ru/ivm8723} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=3077465} \transl \jour Russian Math. (Iz. VUZ) \yr 2012 \vol 56 \issue 7 \pages 55--59 \crossref{https://doi.org/10.3103/S1066369X12070092} \scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84866283596}