Article
Version 1
Preserved in Portico This version is not peer-reviewed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)
Version 2 : Received: 3 July 2020 / Approved: 5 July 2020 / Online: 5 July 2020 (16:39:32 CEST)
Version 2 : Received: 3 July 2020 / Approved: 5 July 2020 / Online: 5 July 2020 (16:39:32 CEST)
A peer-reviewed article of this Preprint also exists.
Ira, J. I., Islam, M. S., Misra, J. C., & Kamrujjaman, M. (2020). Mathematical modelling of the dynamics of tumor growth and its optimal control. Ira, J. I., Islam, M. S., Misra, J. C., & Kamrujjaman, M. (2020). Mathematical modelling of the dynamics of tumor growth and its optimal control.
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.
Keywords
mathematical models; optimal control; tumor growth; chemotherapy; diffusion models
Subject
Medicine and Pharmacology, Oncology and Oncogenics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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