EQUAÇÕES DIFERENCIAIS APLICADAS AO CRESCIMENTO DE TUMORES

Detalhes bibliográficos
Ano de defesa: 2013
Autor(a) principal: Borges, Fernando da Silva lattes
Orientador(a): Batista, Antonio Marcos lattes
Banca de defesa: Lopes, Sérgio Roberto lattes, Szezech Júnior, José Danilo lattes
Tipo de documento: Dissertação
Tipo de acesso: Acesso aberto
Idioma: por
Instituição de defesa: UNIVERSIDADE ESTADUAL DE PONTA GROSSA
Programa de Pós-Graduação: Programa de Pós-Graduação em Ciências
Departamento: Fisica
País: BR
Palavras-chave em Português:
Palavras-chave em Inglês:
Área do conhecimento CNPq:
Link de acesso: http://tede2.uepg.br/jspui/handle/prefix/904
Resumo: A possible way to stop the growing of cancer cells is the chemotherapy. That is, the treatment with a drug or combination of drugs through some protocol. There are many experimental and theoretical studies about the effects of the chemotherapy on the cells.Moreover, mathematical models have been considered to simulate the growth of cancer cells, as well as, tumor-immune interactions with chemotherapy. In this thesis we investigate a mathematical model that not only take into considerations the attention of lymphocytes, but also the effect of the chemotherapy. We extend the model of Banerjee and Sarkar by adding the chemotherapy, and by considering some clinically plausible protocols. Firstly, a continuous chemotherapy is analyzed. Secondly, the traditional or pulsed chemotherapy protocol, in which the drug is administered periodically. According to experimental protocols we have used a constant amplitude for the control inputs and an oscillatory amplitude. Our main results are the cancer suppression applying continuous chemotherapy without the vanishing of the lymphocites, and pulsed chemotherapy protocols to maximize the kill of cancerous cells while minimizing the negative effects on normal cells.