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Stream/Area:
-
Subject:
-
Paper ID:
IJSREM66090
Volume:
10 |
7 |
Jul 2026
Pages:
1-4
Publication Frequency:
Monthly (12 issues per year)
License:International Journal of Scientific Research in Engineering and Management follows the Creative Commons Attribution 4.0 (CC BY 4.0) License, allowing free use and distribution with proper attribution.
Department of Computer Science
VIT Bhopal
Department of Computer Science
VIT Bhopal
Department of Computer Science
VIT Bhopal
Department of Computer Science
VIT Bhopal
While immune checkpoint inhibitors have revolu-tionized cancer treatment, predicting which patients will be cured and which will relapse remains a clinical challenge. The tumor microenvironment is a chaotic, evolving battleground where cancer cells and immune cells constantly fight for dominance. To decode this complexity, we built a mathematical model using non-linear differential equations to track this biological tug-of-war, treating the immunotherapy dose as a control ”dial” that restores the killing power of exhausted T-cells. Rather than relying solely on empirical trial-and-error, we used rigorous stability analysis to pinpoint the exact mathematical tipping point of the system. We derived a strict, quantifiable threshold proving that a cure is analytically guaranteed only when the drug dose successfully overcomes the ratio of the tumor’s intrinsic growth rate to the patient’s baseline immune strength. Ultimately, this framework provides a theoretical blueprint for the microenvironment, of-fering a foundation for calculating the exact personalized doses needed to force a tumor into complete, irreversible collapse.
KEYWORDS
In this study, we formulated a deterministic mathematical model of the tumor-immune microenvironment to investigate the non-linear dynamics of immune checkpoint blockade ther-apy. By utilizing a system of ordinary differential equations and treating the immunotherapy concentration as an exogenous control parameter, we moved beyond empirical observation to establish theoretical boundaries for therapeutic success.
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Publication Date
7/30/2026
Peer Review Type
Double-Blind Peer Review
Review Rounds: 2
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