Numerical Solution of Tumor-immune Model including small Molecule Drug by Multi-step Differential Transform Method

In this article, we have described a mathematical model for tumor-immune system with impact of small molecules drug, and solved by multi step differential transform method. The mathematical model has four compartments; population of tumor cell, CD8 T-killer cell, CD4 T-helper cell and amount of drug in the blood stream. Calculations are presented to verify the theoretical results so obtained for tumor free equilibrium point. The model is fit for removing tumor with passage of time irrespective of the initial population or size of the tumor.