A mathematical model for chemoimmunotherapy of chronic lymphocytic leukemia

Autor(es)

Rodrigues, D. S. ^[1] ; Mancera, P. F. A. ^[2] ; Carvalho, T. ^[3] ; Goncalves, L. F. ^[4]

Afiliação do(s) autor(es)

^[1] Univ Fed Alfenas, Inst Ciencias Exatas, Alfenas, MG - Brazil

^[2] UNESP, Inst Biociencias Botucatu, Botucatu, SP - Brazil

^[3] Univ Sao Paulo, Fac Filosofia Ciencias & Letras, Ribeirao Preto, SP - Brazil

^[4] UNESP, Inst Biociencias Letras & Ciencias Exatas, Sao Jose Do Rio Preto, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Applied Mathematics and Computation; v. 349, p. 118-133, MAY 15 2019.
• Citações Web of Science: 0

Resumo

Immunotherapy is currently regarded as the most promising treatment to fight against cancer. This is particularly true in the treatment of chronic lymphocytic leukemia, an indolent neoplastic disease of B-lymphocytes which eventually causes the immune system's failure. In this and other areas of cancer research, mathematical modeling is pointed out as a prominent tool to analyze theoretical and practical issues. Its lack in studies of chemoimmunotherapy of chronic lymphocytic leukemia is what motivated us to come up with a simple ordinary differential equation model. It is based on ideas of de Pillis and Radunskaya and on standard pharmacokinetics-pharmacodynamics assumptions. In order to check the positivity of the state variables, we first establish an invariant region where these time-dependent variables remain positive. Afterwards, the action of the immune system, as well as the chemoimmunotherapeutic role in promoting cancer cure are investigated by means of numerical simulations and the classical linear stability analysis. The role of adoptive cellular immunotherapy is also addressed. Our overall conclusion is that chemoimmunotherapeutic protocols can be effective in treating chronic lymphocytic leukemia provided that chemotherapy is not a limiting factor to the immunotherapy efficacy. (C) 2018 Elsevier Inc. All rights reserved. (AU)

• Processo FAPESP: 17/00883-0 - Campos vetoriais suaves por partes com aplicações em problemas biológicos
• Beneficiário: Tiago de Carvalho
• Modalidade de apoio: Auxílio à Pesquisa - Regular