Perturbative analysis of biological parameters for simulating glioblastoma multiforme using Swanson’s model by the method of symmetries
DOI:
https://doi.org/10.5902/2179460X87204Keywords:
Swanson model, exact solution, split, symmetriesAbstract
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 cell
growth 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.
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