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Mathematical computation of the tumor growth

Abstract

The tumor is a vital concern in the medical system, and it is one of the causes of losing life and puts a big load on medical. Describing the tumor staging by analysis is a crucial subject for medical procedures. Advanced exposure to hidden metastasis indistinguishable from modern techniques would significantly impact the most appropriate concern and long-term survival. Researchers have been working to explain a new medical practice model for tumors. The tumor cells' population growth is dubious due to their strange response. Metastasis dispersal is how some cells from the tumors move and shape different tumors. In the paper, the tumor cell's population dynamics are organized by the metastasis method using the concept of the calculus, mean value theorem, and Lipschitz condition for the stability of the model. The paper forms a relationship between applied computational mathematics and the biological system.

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Acknowledgements

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

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Correspondence to Arvind Kumar Sinha.

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The authors declare that there is no conflict of interest.

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Namdev, N., Shende, P. & Sinha, A.K. Mathematical computation of the tumor growth. Netw Model Anal Health Inform Bioinforma 11, 27 (2022). https://doi.org/10.1007/s13721-022-00368-0

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  • DOI: https://doi.org/10.1007/s13721-022-00368-0

Keywords

  • Dynamics of tumor cells
  • Tumor
  • Rough sets
  • Nonlinear dynamics