Work

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

Year: 2024

Type: article

Abstract: 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.

Source: Ciência e Natura

DOI: 10.5902/2179460x87204

Authors: Jorge Luiz de Mello Caurio Junior, Aquiles Almeida Ribeiro, Claudio Zen Petersen, Fernanda Tumelero

Institutions: Universidade Federal de Pelotas, Universidade Federal do Rio Grande

Language: English

Topic: Mathematical Biology Tumor Growth

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

SDG: Good health and well-being

Open Access status: diamond

Funder: Coordenação de Aperfeiçoamento de Pessoal de Nível Superior