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Modeling and Analyzing Homogeneous Tumor Growth under Virotherapy

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  • Chayu Yang

    (Department of Mathematics, University of Nebraska-Lincoln, Lincoln, NE 68588, USA)

  • Jin Wang

    (Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403, USA)

Abstract

We present a mathematical model based on ordinary differential equations to investigate the spatially homogeneous state of tumor growth under virotherapy. The model emphasizes the interaction among the tumor cells, the oncolytic viruses, and the host immune system that generates both innate and adaptive immune responses. We conduct a rigorous equilibrium analysis and derive threshold conditions that determine the growth or decay of the tumor under various scenarios. Numerical simulation results verify our analytical predictions and provide additional insight into the tumor growth dynamics.

Suggested Citation

  • Chayu Yang & Jin Wang, 2023. "Modeling and Analyzing Homogeneous Tumor Growth under Virotherapy," Mathematics, MDPI, vol. 11(2), pages 1-20, January.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:2:p:360-:d:1030974
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    References listed on IDEAS

    as
    1. Asamoah, Joshua Kiddy K. & Nyabadza, Farai & Jin, Zhen & Bonyah, Ebenezer & Khan, Muhammad Altaf & Li, Michael Y. & Hayat, Tasawar, 2020. "Backward bifurcation and sensitivity analysis for bacterial meningitis transmission dynamics with a nonlinear recovery rate," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
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