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TitleOn a multiobjective optimal control of a tumor growth model with immune response and drug therapies
Author(s)Rocha, Ana Maria A. C.
Costa, M. Fernanda P.
Fernandes, Edite Manuela da G. P.
Keywordstumor model
immune system
optimal control
multiobjective approach
Issue date2018
PublisherJohn Wiley & Sons Ltd
JournalInternational Transactions in Operational Research
CitationRocha, A. M. A.C., Costa, M. F. P. and Fernandes, E. M.G.P. (2018), On a multiobjective optimal control of a tumor growth model with immune response and drug therapies. Intl. Trans. in Op. Res., 25: 269–294. doi:10.1111/itor.12345
Abstract(s)In this paper, we consider a tumor growth mathematical model that includes an immune system and drug therapies. Immuno- and chemodrug administration as well as periodic administration of radiation are integrated in the model. We have set an optimal control (OC) problem relative to the model so that the average number of tumor cells and immuno- and chemotherapeutic drug administration are simultaneously minimized in a multiobjective context. The external injection of two immunostimulators and a chemotherapeutic drug has been considered as control, and the objective functionals aim to reflect the severity of both types of drug administration. The multiobjective approach to the OC of the tumor growth model provides good-quality approximate solutions and has shown to be a valuable procedure to identify good trade-offs between conflicting objectives.
AccessRestricted access (UMinho)
Appears in Collections:CAlg - Artigos em revistas internacionais/Papers in international journals
CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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