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Abstract <p> The properties of the ultimate dynamics of one 5D model of cancer tumor growth in theangiogenesis phase with additional modeling of chemotherapy and immunotherapy are considered.The ultimate upper bounds for all cell populations, as well as the lower bound for the immune cellpopulation, are found. The conditions for global asymptotic eradication of the tumor are obtainedin two situations: when only chemotherapy is used and when a combination of chemotherapy andimmunotherapy is used. The study is based on the method of localization of compact invariantsets. The article also describes the boundary and internal equilibrium points and presents theresults of numerical simulation illustrating the results obtained analytically.</p>

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Ultimate Dynamics of a Cancer Model with Angiogenic Switch and Combined Therapy

  • 期刊论文

  • 发表日期：

    2025年10月1日

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  • K. E. Starkov,
  • A. N. Kanatnikov

摘要

Abstract

The properties of the ultimate dynamics of one 5D model of cancer tumor growth in theangiogenesis phase with additional modeling of chemotherapy and immunotherapy are considered.The ultimate upper bounds for all cell populations, as well as the lower bound for the immune cellpopulation, are found. The conditions for global asymptotic eradication of the tumor are obtainedin two situations: when only chemotherapy is used and when a combination of chemotherapy andimmunotherapy is used. The study is based on the method of localization of compact invariantsets. The article also describes the boundary and internal equilibrium points and presents theresults of numerical simulation illustrating the results obtained analytically.