MATHEMATICAL ANALYSIS AND SIMULATIONS INVOLVING CHEMOTHERAPY AND SURGERY ON LARGE HUMAN TUMOURS UNDER A SUITABLE CELL-KILL FUNCTIONAL RESPONSE

Autor(es)

Rodrigues, Diego Samuel ^[1] ; de Arruda Mancera, Paulo Fernando ^[2]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, ICMC, Dept Matemat Aplicada & Estat, BR-13560970 Sao Carlos, SP - Brazil

^[2] UNESP, IBB, Dept Bioestat, BR-18618970 Botucatu, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Mathematical Biosciences and Engineering; v. 10, n. 1, p. 221-234, FEB 2013.
• Citações Web of Science: 4

Resumo

Dosage and frequency of treatment schedules are important for successful chemotherapy. However, in this work we argue that cell-kill response and tumoral growth should not be seen as separate and therefore are essential in a mathematical cancer model. This paper presents a mathematical model for sequencing of cancer chemotherapy and surgery. Our purpose is to investigate treatments for large human tumours considering a suitable cell-kill dynamics. We use some biological and pharmacological data in a numerical approach, where drug administration occurs in cycles (periodic infusion) and surgery is performed instantaneously. Moreover, we also present an analysis of stability for a chemotherapeutic model with continuous drug administration. According to Norton \& Simon {[}22], our results indicate that chemotherapy is less efficient in treating tumours that have reached a plateau level of growing and that a combination with surgical treatment can provide better outcomes. (AU)

• Processo FAPESP: 09/15098-0 - Avaliando controle de epidemias utilizando modelos matemáticos e computacionais
• Beneficiário: Hyun Mo Yang
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 10/20185-7 - Modelagem matemática em câncer: dinâmica angiogênica e quimioterapia antineoplásica
• Beneficiário: Paulo Fernando de Arruda Mancera
• Modalidade de apoio: Auxílio à Pesquisa - Regular