Preprint
Article
Mathematical Modelling of the Dynamics of Tumor Growth and its Optimal Control
This version is not peer-reviewed.
Submitted:
21 April 2020
Posted:
22 April 2020
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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
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
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