Preprint Article Version 1 This version is not peer-reviewed

Mathematical Modelling of the Dynamics of Tumor Growth and its Optimal Control

Version 1 : Received: 21 April 2020 / Approved: 22 April 2020 / Online: 22 April 2020 (06:04:35 CEST)

How to cite: Irana Ira, J.; Islam, M.S.; Misra, J.C. Mathematical Modelling of the Dynamics of Tumor Growth and its Optimal Control. Preprints 2020, 2020040391 (doi: 10.20944/preprints202004.0391.v1). Irana Ira, J.; Islam, M.S.; Misra, J.C. Mathematical Modelling of the Dynamics of Tumor Growth and its Optimal Control. Preprints 2020, 2020040391 (doi: 10.20944/preprints202004.0391.v1).

Abstract

The dynamics of tumor cell growth and its treatment process is discussed in this paper. We analyze some simple mathematical models and generalized models to understand the growth of tumor cells. A couple of diffusion models are discussed to explain how the tumor cells spread and become more dangerous as well as the treatment process of cancer and how cancer cell behaves in the presence of different therapy and drugs. The optimal control of chemotherapy has been discussed. It has also been explained how much the model is effective in reducing tumor cells over time.

Subject Areas

mathematical models; optimal control; tumor growth; chemotherapy; diffusion models

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