Perturbative analysis of biological parameters for simulating glioblastoma multiforme using Swanson’s model by the method of symmetries

The present work aims to propose an exact solution through split and symmetries for a model used to simulate the growth rate of cancer cells in a specific region of the human body, it also intends to study the behavior of the tumor cell concentration rate by varying the diffusion and proliferation coefficients randomly within a specified interval. The model utilized to simulate the cellgrowth rate is the Swanson model, disregarding the term that follows the treatment and considering a constant diffusion coefficient per region. Attaining the exact solution of the Swanson model can aid in the treatment of specific cancer types, as implementing a more accurate model leads to a decrease in the destruction rate of healthy cells neighboring the cancerous cells.