Saturday 23rd of September 2017
 

Mixed Immunotherapy and Chemotherapy of Tumors: Optimal Control Approach


Samira Zouhri, Smahane Saadi, Ilias Elmouki, Amine Hamdache and Mostafa Rachik

The aim of this work is to apply optimal control theory to certain cancer treatment strategies which based on combination of multiple cancer therapies, in the form of a system of ordinary differential equations (ODEs), governing cancer growth on cell population level with more than one of therapy, in order to determine the best mix of treatments that minimizes both tumor mass and negative effects upon the health of the patient. Numerical simulations of mixed chemotherapy and immunotherapy shows that neither chemotherapy nor immunotherapy alone are effective in treating the cancer, but in combination the therapies are able to eliminate the entire tumor.

Keywords: chemotherapy, immunotherapy, optimal control theory, Pontryagin's Maximum principle.

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ABOUT THE AUTHORS

Samira Zouhri
PhD student at the Faculty of Science Ben M\'sik, Department of Mathematics and Computer Science, LAMS labortory.

Smahane Saadi
Prof at the Faculty of Science Ben M\'sik, Department of Mathematics and Computer Science.

Ilias Elmouki
PhD student at the Faculty of Science Ben M\'sik, Department of Mathematics and Computer Science, LAMS labortory.

Amine Hamdache
PhD student at the Faculty of Science Ben M\'sik, Department of Mathematics and Computer Science, LAMS labortory.

Mostafa Rachik
Prof at the Faculty of Science Ben M\'sik, Department of Mathematics and Computer Science.


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