Optimal Control Analysis of a Mathematical Model for Breast Cancer
AbstractIn this paper, a mathematical model of breast cancer governed by a system of ordinary differential equations in the presence of chemotherapy treatment and ketogenic diet is discussed. Several comprehensive mathematical analyses were carried out using a variety of analytical methods to study the stability of the breast cancer model. Also, sufficient conditions on parameter values to ensure cancer persistence in the absence of anti-cancer drugs, ketogenic diet, and cancer emission when anti-cancer drugs, immune-booster, and ketogenic diet are included were established. Furthermore, optimal control theory is applied to discover the optimal drug adjustment as an input control of the system therapies in order to minimize the number of cancerous cells by considering different controlled combinations of administering the chemotherapy agent and ketogenic diet using the popular Pontryagin’s maximum principle. Numerical simulations are presented to validate our theoretical results. View Full-Text
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Oke, S.I.; Matadi, M.B.; Xulu, S.S. Optimal Control Analysis of a Mathematical Model for Breast Cancer. Math. Comput. Appl. 2018, 23, 21.
Oke SI, Matadi MB, Xulu SS. Optimal Control Analysis of a Mathematical Model for Breast Cancer. Mathematical and Computational Applications. 2018; 23(2):21.Chicago/Turabian Style
Oke, Segun I.; Matadi, Maba B.; Xulu, Sibusiso S. 2018. "Optimal Control Analysis of a Mathematical Model for Breast Cancer." Math. Comput. Appl. 23, no. 2: 21.
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