Revista de informática y biología de sistemas

The purpose of this paper is to study the prediction model of tumor growth non-vascularized lung cancer (first stage of cancer) before and during chemotherapeutic treatment. This model will be represented by a differential equations system, which will describe, among other things, tumor volume and proliferating cells. Finally, all the numerical results presented in this paper have been implemented in Scilab.

This work is part of the general framework of the study of mathematical modeling of cancer and its treatment. The purpose of this article is to present and analyze the model of tumor angiogenesis, (second stage of cancer: formation of new blood vessels by a malignant tumor), then to describe models of associated therapies, such as: anti-angiogenesis treatments and chemotherapeutic treatments. And finally, to numerically illustrate these models and to compare between the two therapies using MATLAB.