Saturday 23rd of September 2017
 

Combining a drug therapy and oncolytic virotherapy to treat cancer: an optimal control approach


Adil El Alami Laaroussi, Elhia Mohamed and Mostafa Rachik

Optimal control theory is applied to a controlled tumor model. Seeking to minimize the infected cells and to maximize uninfected cells, we use two controls representing drug therapy and oncolytic virotherapy. The Pontryagins maximum principle is used to characterize the optimal controls. The optimal controls are obtained by solving the optimality system. The results are analyzed and interpreted numerically using MATLAB.

Keywords: Optimal control, mathematical models, oncolytic virus, Pontryagins maximum principle

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ABOUT THE AUTHORS

Adil El Alami Laaroussi
Faculty of Sciences Ben MíSik, University Hassan II

Elhia Mohamed
Faculty of Sciences Ben MíSik, University Hassan II

Mostafa Rachik
Faculty of Sciences Ben MíSik, University Hassan II


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