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Mathematical model of the tumor cells’ population growth

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Abstract

In medical science, the tumor is a critical situation and the grounds for failing life and places a significant hurdle on medical. Predicting the extension of tumors has been of matter since the initial periods of tumor examination, and investigators have been performing to illustrate a new medical approach for tumors. The tumor is a condition reached when uncommon cells erupt from the genetic rules and are experienced limitlessly. This state forms a cell group with uncontrolled growth inside. Metastasis is when some tumor cells shift and form other tumors. The model explains that the proliferation of the tumor cells is almost constant, and cell elongation would undoubtedly be limited and expand linearly when nutrients run down. In this paper, the mathematical understanding of the reaction of tumor cells to metastasis is presented. Therefore, we explore the dynamics of tumor cell growth in different organs. This paper connects numerical computation, applied mathematics, and applications of biological scenarios.

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Acknowledgements

The authors are extremely thankful, to the Department of Mathematics, NIT Raipur (C. G.) and IIIT Nagpur, India for providing facilities, space and an opportunity for the work.

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Correspondence to Arvind Kumar Sinha.

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Namdev, N., Jain, H. & Sinha, A.K. Mathematical model of the tumor cells’ population growth. Netw Model Anal Health Inform Bioinforma 12, 2 (2023). https://doi.org/10.1007/s13721-022-00399-7

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  • DOI: https://doi.org/10.1007/s13721-022-00399-7

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