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

Jannatun Irana Ira; Md. Shahidul Islam; Jagadish Chandra Misra

doi:10.20944/preprints202004.0391.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 21 April 2020 / Approved: 22 April 2020 / Online: 22 April 2020 (06:04:35 CEST)
Version 2 : Received: 3 July 2020 / Approved: 5 July 2020 / Online: 5 July 2020 (16:39:32 CEST)

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.

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

Medicine and Pharmacology, Oncology and Oncogenics

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

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