Análise da Estabilidade de um Problema em Imuno-oncologia: uma Abordagem Teórica Ampliada
DOI:
https://doi.org/10.5540/tema.2017.018.03.493Keywords:
Modelagem matemática, análise de estabilidade, imuno-oncologia, existência e unicidade,Abstract
O câncer é uma questão de prioridade pública que aflige o mundo e muitos esforços através da pesquisa científica estão sendo realizados para o seu combate. Nesse sentido, a imunoterapia, como tratamento em imuno-oncologia, é considerada como modalidade terapêutica praticada nas duas últimas décadas. Neste trabalho, estuda-se o crescimento das células tumorais levando em consideração o microambiente determinado pela interação que há entre as células tumorais com as células efetoras, citocinas anti-inflamatórias e um fator imuno-supressivo. Apresentam-se duas variantes dos modelos matemáticos de Arciero et. al. com a inserção de um termo switching nesses modelos (Autor (2006), Autor (2015) e Autor(2014)). Faz-se o estudo qualitativo dos modelos e com a análise de estabilidade e as simulações numéricas dos mesmos ilustram-se de uma forma ampliada os resultados teóricos desta pesquisa.
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