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The present work aims to propose an exact solution through split and symmetries for a model used to simulate the growth rate of cancer cells in a specific region of the human body. The model in question is the Swanson model, which has been numerically solved. In this study, we are excluding the term related to BNCT treatment and considering a constant diffusion coefficient per region. Attainment of an exact solution for the Swanson model holds potential significance in the treatment landscape of select cancer types, owing to the discernible benefits derived from the utilization of a refined model. Specifically, the deployment of a more precise model correlates with concomitant mitigation in the deleterious effects on healthy cells adjacent to neoplastic counterparts. Subsequent endeavors aim to refine the methodology by incorporating boundary and initial conditions into the comprehensive model, thereby encompassing elements pertinent to chemotherapy and radiotherapy interventions.

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Solution of the Swanson Reaction-Diffusion Model via Split and Symmetries

  • 章节

  • 发表日期：

    2025年

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  • Jorge Luiz de Mello Caurio Junior,
  • Claudio Zen Petersen,
  • Fernanda Tumelero,
  • Fernanda Krüger Tomaschewski,
  • Aquiles Almeida Ribeiro

摘要

The present work aims to propose an exact solution through split and symmetries for a model used to simulate the growth rate of cancer cells in a specific region of the human body. The model in question is the Swanson model, which has been numerically solved. In this study, we are excluding the term related to BNCT treatment and considering a constant diffusion coefficient per region. Attainment of an exact solution for the Swanson model holds potential significance in the treatment landscape of select cancer types, owing to the discernible benefits derived from the utilization of a refined model. Specifically, the deployment of a more precise model correlates with concomitant mitigation in the deleterious effects on healthy cells adjacent to neoplastic counterparts. Subsequent endeavors aim to refine the methodology by incorporating boundary and initial conditions into the comprehensive model, thereby encompassing elements pertinent to chemotherapy and radiotherapy interventions.