MATHEMATICAL MODEL DESCRIBING TUMOR GROWTH UNDER A TREATMENT BY CHEMOTHERAPY
Antonio Batista, Kelly Iarosz, Fernando da Silva Borges, Regiane Aparecida Nunes Siqueira, Hai Peng Ren, Murilo da Silva Baptista, Celso Grebogi, Ricardo Luiz Viana, Sergio Roberto Lopes
In this work we study a mathematical model describing tumor growth considering a treatment by chemotherapy. We use values for the parameters according to experimental results and mathematical considerations. We verify that the our model presents dynamical behavior relate to suppression of the cancerous cells. Due to a time delay the system may produce oscillations of the cells number, where the time delay is considered in the conversion of resting to hunting cells. The cancerous cells can be disappear when the chemotherapy is inserted in the model.