Mathematical Modeling of Tumor Growth and Immune System Interaction Incorporating Time Delays and Suppression Effects for Tumor Control

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Year : 2025 | Volume : 15 | Issue : 03 | Page :
    By

    Jitendra Singh,

  1. Assistant Professor, Department of Humanities and Applied Sciences, Echelon Institute of Technology, Faridabad, Haryana, India

Abstract

Cancer growth is a complex biological process influenced by various factors, including the dynamic interaction between tumor cells and the host immune system. Mathematical modeling serves as a powerful tool to understand these interactions and predict the outcomes of different therapeutic strategies. This study presents a mathematical framework that captures the essential dynamics of tumor-immune interactions, specifically incorporating the effects of time delay and immune suppression mechanisms. Time delay accounts for the biological latency in immune cell activation and response, while suppression effects represent tumor-induced factors that weaken immune function, such as the secretion of inhibitory cytokines like TGF-β and IL-10. The model is formulated using systems of nonlinear differential equations and explores the stability of equilibria, bifurcation behavior, and potential for tumor eradication under varying conditions. Through analytical and numerical analysis, the study highlights critical thresholds and parameter regimes that influence tumor growth, immune evasion, and the success of control strategies. The results provide insights into the timing and strength of immune responses necessary for effective tumor suppression, offering a theoretical foundation for optimizing immunotherapeutic interventions and guiding future experimental studies.

Keywords: Tumor-immune interaction, Time delay, Immune response dynamics, Cytokine inhibition (TGF-β, IL-10), Immune suppression, etc.

[This article belongs to Research and Reviews : A Journal of Immunology ]

How to cite this article:
Jitendra Singh. Mathematical Modeling of Tumor Growth and Immune System Interaction Incorporating Time Delays and Suppression Effects for Tumor Control. Research and Reviews : A Journal of Immunology. 2025; 15(03):-.
How to cite this URL:
Jitendra Singh. Mathematical Modeling of Tumor Growth and Immune System Interaction Incorporating Time Delays and Suppression Effects for Tumor Control. Research and Reviews : A Journal of Immunology. 2025; 15(03):-. Available from: https://journals.stmjournals.com/rrjoi/article=2025/view=231734


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Regular Issue Subscription Original Research
Volume 15
Issue 03
Received 11/07/2025
Accepted 03/09/2025
Published 13/11/2025
Publication Time 125 Days
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