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May 7, 20260 citationsOpen Access

Mathematical Modelling of Cancer Progression Driven by Chornic Inflammation and Immune Suppression

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DUDr.Paras Uchat

Key Points

  • The research aims to develop a mathematical model analyzing cancer progression influenced by inflammation and immune suppression.
  • Formulated a system of nonlinear ordinary differential equations.
  • Utilized equilibrium analysis and Jacobian-based stability methods.
  • Conducted numerical simulations to examine system behavior.
  • Chronic inflammation significantly enhances tumor growth by increasing effective growth rate.
  • Stable tumor present state exists, confirmed by stability analysis.
  • Graphical simulations show sigmoidal tumor growth and immune escape dynamics.

Abstract

Aim – The study aims to develop a mathematical model to analyze cancer progressioninfluenced by chronic inflammation, immune suppression and vascular support and tounderstand their combined impact on tumor dynamicsMethodology: A system of nonlinear ordinary differential equations is formulated torepresent the interactions between tumor cells, inflammation, immune suppression andcarrying capacity. The model is analyzed using equilibrium analysis, Jacobian-based stabilitymethods and numerical simulations to examine system behavior under biologically relevantconditions.Results: The analysis reveals that chronic inflammation significantly enhances tumor growthby increasing the effective growth rate and promoting immune suppression. The equilibriumstudy shows the existence of a stable tumor present state while stability analysis confirms thatthe system converges to this state over time. Graphical simulations demonstrate sigmoidaltumor growth, increasing inflammation and immune escape dynamics.Conclusion: The model highlights that cancer progression is driven by a feedbackmechanism involving inflammation and immune suppression. These findings suggest thattargeting inflammation and immune response pathways may be effective strategies forcontrolling tumor growth.

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Cite This Study

Dr.Paras Uchat (2026) studied this question.

synapsesocial.com/papers/69fbe2f2164b5133a91a2434https://doi.org/10.5281/zenodo.20032116
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1MATHEMATICAL MODELLING OF CANCER PROGRESSION DRIVEN BY CHORNIC INFLAMMATION AND IMMUNE SUPPRESSION2026
  2. 2Mathematical Modeling of Tumor-Immune Interaction with Optimal Control in the Human System2026
  3. 3Mathematical analysis of a tumor suppression model incorporating vitamin intake2026 · 1 citations
  4. 4Modeling Tumor–Immune Interactions Under Immuno-Chemotherapy: Stability Analysis and Numerical Simulation2026 · 1 citations
  5. 5Mathematical Modeling of Cancer Progression2024 · 7 citations