Bang-bang optimal controls for a mathematical model of chemo- and immunotherapy in cancer

نویسندگان

چکیده

A nonlinear mathematical model which includes synergistic effects of chemo- and immunotherapy is analyzed (both analytically numerically) as an optimal control problem with free terminal time for the scheduling combination therapies. Side drugs are measured indirectly by including total doses respective weights penalty terms in objective. The formulation allows us to judge amounts agents required achieve tumor eradication well it will take do so. For various terms, extremal controlled trajectories computed numerically their local optimality verified second-order conditions optimality.

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ژورنال

عنوان ژورنال: Discrete and Continuous Dynamical Systems-series B

سال: 2023

ISSN: ['1531-3492', '1553-524X']

DOI: https://doi.org/10.3934/dcdsb.2023141