Modelagem matemática e gerenciamento ótimo da infecção HIV-1/AIDS

Mathematical modeling of HIV-1 infection has proven to be instrumental for the modern understanding basis of the AIDS pathogenesis, since it offers the unique means to adequately pose hypotheses concerning AIDS dynamics and treatment protocols. Focusing on the HIV-1 subtype-B epidemic, this article presents a comprehensive review and discusses the state-of-the-art in the area. A more in-depth view of the infection at the cellular and molecular biology levels is developed and mathematical modeling techniques concerned with the natural history of AIDS pathogenesis are proposed. Ultimately, a general framework for the real-world problem of optimizing the highly active antiretroviral therapy (HAART) benefits is discussed regarding important questions associated with the drug chemotherapy resistance, side-effects and costs.A Modelagem matemática da infecção pelo HIV-1 provou-se instrumental para a moderna compreensão sobre a dinâmica da AIDS, pois oferece formas únicas de postular e avaliar adequadamente hipóteses relacionadas à dinâmica da infecção e aos protocolos de tratamento. Focando a atenção sobre a infecção pelo HIV tipo 1 clado B, este artigo resume e discute o estado da arte no tema. Uma análise mais detalhada no nível das biologias celular e molecular da infecção é, então, desenvolvida e técnicas de modelagem matemática para representação da dinâmica natural da patogênese são propostas. Por ultimo, uma estrutura geral para o problema prático da otimização da eficiência da terapia antiretroviral altamente ativa é discutida considerando-se questões fundamentais como resistência à terapia, efeitos colaterais e custo

An in-depth analysis of the HIV-1/AIDS dynamics by comprehensive mathematical modeling

This work presents major results from a novel dynamic model intended to deterministically represent the complex relation between HIV-1 and the human immune system. The novel structure of the model extends previous work by representing different host anatomic compartments under a more in-depth cellular and molecular immunological phenomenology. Recently identified mechanisms related to HIV-1 infection as well as other well known relevant mechanisms typically ignored in mathematical models of HIV-1 pathogenesis and immunology, such as cell-cell transmission, are also addressed. (C) 2011 Elsevier Ltd. All rights reserved.FAPESPFAPESP [99/09897-4