On a multiobjective optimal control of a tumor growth model with immune response and drug therapies. (17th October 2016)

• Record Type: Journal Article
• Authors: Rocha, Ana Maria A.C.; Costa, M. Fernanda P.; Fernandes, Edite M.G.P.
• Other Names: Dias Joana Matos guestEditor.; Rocha Humberto guestEditor.; Viana Ana guestEditor.
• Is Part Of: International transactions in operational research. Volume 25:Number 1(2018)
• Page Start: 269
• Page End: 294
• Publication Date: 2016-10-17
• Subjects: tumor model -- immune system -- optimal control -- multiobjective approach; Operations research -- Periodicals; 003
• DOI: 10.1111/itor.12345
• Languages: English
• ISSNs: 0969-6016

Abstract

Abstract: 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.