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|Title:||On 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.
|Publisher:||John Wiley & Sons Ltd|
|Journal:||International Transactions in Operational Research|
|Citation:||Rocha, 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.|
|Access:||Restricted 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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