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Modeling the effects of obesity on a tumor-immune model with combined therapy

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  • Qin, Wenjie
  • Zhao, Yi
  • Yang, Jin

Abstract

This paper examines and analyzes a mathematical model that describes the interactions between tumors, immune cells, healthy cells, and stored fat in the body. The model incorporates integrated therapy as a key component of the analysis. We first prove that the system exists with a global positive solution which is unique. Subsequently, we derive threshold conditions determining the elimination and persistence of tumor cells, immune cells and fat cells, employing Stochastic Differential Equations theory. Additionally, we investigate the system’s smooth distribution and its ergodic properties. The results indicate that therapies marked by pronounced stochastic disturbances, elevated medication dosages or shortened treatment cycles can effectively hinder tumor growth and simultaneously promote weight loss. A low-calorie diet leads to a decrease in body weight and a reduction in tumor cells, underscoring the potential benefits of weight management as a supplementary strategy to chemotherapy. Notably, combination therapy reduces the detrimental effects of chemotherapy on healthy cells.

Suggested Citation

  • Qin, Wenjie & Zhao, Yi & Yang, Jin, 2025. "Modeling the effects of obesity on a tumor-immune model with combined therapy," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 233(C), pages 276-295.
    • Handle: RePEc:eee:matcom:v:233:y:2025:i:c:p:276-295
    DOI: 10.1016/j.matcom.2025.02.004
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    References listed on IDEAS

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    1. Hao, Mengli & Jia, Wantao & Wang, Liang & Li, Fuxiao, 2022. "Most probable trajectory of a tumor model with immune response subjected to asymmetric Lévy noise," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
    2. Yang, Huan & Tan, Yuanshun & Yang, Jin & Liu, Zijian, 2021. "Extinction and persistence of a tumor-immune model with white noise and pulsed comprehensive therapy," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 182(C), pages 456-470.
    3. Yang, Jin & Tan, Yuanshun & Cheke, Robert A., 2019. "Modelling effects of a chemotherapeutic dose response on a stochastic tumour-immune model," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 1-13.
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    5. Mao, Xuerong & Marion, Glenn & Renshaw, Eric, 2002. "Environmental Brownian noise suppresses explosions in population dynamics," Stochastic Processes and their Applications, Elsevier, vol. 97(1), pages 95-110, January.
    6. Zhongtao Yang & Cuihong Yang & Yueping Dong & Yasuhiro Takeuchi, 2020. "Mathematical Modelling of the Inhibitory Role of Regulatory T Cells in Tumor Immune Response," Complexity, Hindawi, vol. 2020, pages 1-21, August.
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