Mathematical Modelling of Cell-Mediated Immune Response to Tumor Growth with Finite Difference Analysis

Abstract

Mihir M Panchal and Twinkle R Singh

Immunotherapy is a newly emerging approach to cancer treatment that seeks to stimulate a body’s immune defenses, especially T cells, to combat and potentially eliminate tumors. This paper reflects some research outcome tumor growth model solved by using Finite Difference Method. Using accumulated data we take a look at possible models for the growth of cancer cells, incorporating the positive effect of the immune system. Relevant tumor–immune interactions depend on stochasticity, since the dynamics involve a small and decreasing number of cells, and spatiotemporal heterogeneity, since the dynamics occur in a localized tumor environment. Mathematical modelling is been very powerful tool to developed the tumor cell interaction and plays vital role in treatment is well. We have used the finite difference method which is a numerical method very important technique for solving a wide variety of differential equations which discretize the model equation.

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