الفهرس 
INTRODUCTIONOnly 14 pages are availabe for public view
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Abstract
One of the most challenges to effective treatment of cancer is the radiation resistance. Published data from a notably experiment performed to examine the ability of a compound therapy to overcome the radiation resistance is utilized. The chemotherapeutic drug used was vinblastine. The experiment included control tumors which were treated with radiation, chemotherapy, or both. In this thesis a mathematical model is developed. The model fits with the data reported from the mentioned experiment. Starting with a suggested model for the tumor growth, the model is expanded to include the effect of radiotherapy, chemotherapy, and combined chemotherapy and radiotherapy. By fitting the model with the experimental data, the parameters of the model are obtained in each stage. The final mathematical model acquired can be used with the case with no treatment, with radiotherapy treatment, with chemotherapy treatment, and with combined chemotherapy and radiotherapy treatment. Results capture the behavior of the tumor in all cases in a reasonable way. The acquired mathematical model is extended to include the body immune system. The new model is used to simulate cases treated with radiotherapy, chemotherapy, and combined therapy, using human parameters. Simulations illustrate that for some cases neither radiotherapy nor chemotherapy alone are sufficient to control tumor growth, but in combination the therapies can eliminate the entire tumor. The results not only show the effectiveness of the model but also the applicability of the results of the experiment onto vivo.