A MATEMÁTICA PODE AJUDAR NA LUTA CONTRA O HIV?

Autores

  • LUIZ HENRIQUE ALVES MONTEIRO Universidade de São Paulo. Escola Politécnica. Laboratório de Automação e Controle
  • JOSÉ ROBERTO CASTILHO PIQUEIRA Universidade de São Paulo. Escola Politécnica. Laboratório de Automação e Controle

DOI:

https://doi.org/10.11606/issn.2316-9036.v0i38p166-177

Resumo

A MATEMÁTICA PODE AJUDAR NA LUTA CONTRA O HIV?

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Biografia do Autor

  • LUIZ HENRIQUE ALVES MONTEIRO, Universidade de São Paulo. Escola Politécnica. Laboratório de Automação e Controle

    Professor visitante do Grupo de Biomatemática do Laboratório de Automação e Controle da Escola Politécnica da Universidade de São Paulo - Epusp.

  • JOSÉ ROBERTO CASTILHO PIQUEIRA, Universidade de São Paulo. Escola Politécnica. Laboratório de Automação e Controle

    Professor visitante do Grupo de Biomatemática do Laboratório de Automação e Controle da Escola Politécnica da Universidade de São Paulo - Epusp.

Referências

ABBAS, A. K. et alii. Imunologia Celular e Molecular. Rio de Janeiro, Revinter, 1995.

ANDERSON, R. M. et alii. “Possible Demographic Consequences of AIDS in Developing Countries”, in Nature 332, pp. 228-34, 1988.

ARMELAGOS, G. J. “The Viral Superhighway”, in The Sciences, jan./feb., pp. 24-9, 1998.

AWERBUCH, T. “Evolution of Mathematical Models of Epidemics”, in Ann. N. Y. Acad. Sci. 740, 1994, pp. 232-41.

BALTER, M. “Chemokine Mutation Slows Progression”, in Science 279, 1998, p. 327.

BARRÉ-SINOUSSI, F. et alii. “Isolation of a T-Lymphotropic Retrovirus from a Patient at Risk for Acquired Immune Deficiency Syndrome (AIDS)”, in Science 220, 1983, pp. 868-71.

BORROW, P. et alii. “Antiviral Pressure Exerted by HIV-1-Specific Cytotoxic T Lymphocytes (CTLs) During Primary Infection Demonstrated by Rapid Selection of CTL Escape Virus”, in Nature Med. 3, 1997, pp. 205-11.

CASTILHO, E. A. e BASTOS, F. I. “Aids (1981-1997): o Rastro da Tormenta”, in Revista USP 33, maio/1997, pp. 7-19.

CICHUTEK. K. et alii. “Development of a Quasispecies of Human Immunodeficiency Virus Type 1 in Vivo”, in Proc. Natl. Acad. Sci. USA 89, 1992, pp. 7365-69.

DE BOER, R. J. e BOERLIJST, M. C. “Diversity and Virulence Thresholds in AIDS”, in Proc. Natl. Acad. Sci. USA 94, 1994, pp. 544-8.

DE BOER, R. J. e BOUCHER, C. A. B. “Anti-CD4 Therapy AIDS Suggested by Mathematical Models”, in Proc. R. Soc. London B 263, 1996, pp. 899-905.

DENDRINOS, D. S. e SONIS, M. Chaos and Socio-Spacial Dynamics. Berlin, Springer-Verlag, 1990.

EIGEN, M. “Viral Quasispecies”, in Sci. Am. 269(1), 1993, pp. 32-39.

ESSUNGER, P. e PERELSON, A. S. “Modeling HIV Infection of CD4 T-Cell Subpopulations”, in J. Theor. Biol. 170, 1994, pp. 367-91.

FAUCI, A. S. “Host Factors and the Pathogenesis of HIV-1 Induced Disease”, in Nature 384, 1996, pp. 529-34.

GOUESBET, G. et alii. “Reconstructing a Dynamics from a Scalar Time Series”, in Ann. N. Y. Acad. Sci. 808, 1997, pp. 25-50.

HASELTINE, W. A. e WONG-STAAL, F. “The Molecular Biology of the AIDS Virus”, in Sci. Am. 259(4), 1988, pp. 34-42.

HERZ A.V. M. et alii. “Viral Dynamics In Vivo: Limitations on Estimates of Intracellular Delay and Virus Decay”, in Proc. Natl. Acad. Sci. USA 93, 1996, pp. pp. 7247-51.

HO, D. D. et alii. “Rapid Turnover of Plasma Virions and CD4 Lymphocytes in HIV-1 Infection”, in Nature 373, 1995, pp. 123-6.

KELLAM, P. et alii. “Fifth Mutation in Human Immunodeficiency Virus Type 1 Reverse Transcriptase Contributes to the Development of High-level Resistance to Zidovudine”, in Proc. Natl. Acad. Sci. USA 89, 1992, pp. 1934-8.

KIRSCHNER, D. E. e WEBB G. F. “A Model for Treatment Strategy in the Chemotherapy of AIDS”, in Bull. Math. Biol. 58, 1996, pp. 367-90.

—————. “Understanding Drug Resistance for Monotherapy Treatment of HIV Infection”, in Bull. Math. Biol. 59, 1997, pp. 763-85.

LIU R. et alii. “Homozygous Defect in HIV-1 Coreceptor Accounts for Resistance of Some Multiply-exposed Individuals to HIV-1 Infection”, in Cell 86, 1996, pp. 367-77.

MARX, J. L. “Human T-Cell Leukemia Virus Linked to AIDS”, in Science 220, 1983, pp. 806-9.

MAY, R. M. e ANDERSON, R. M. “Transmission Dynamics of HIV Infection”, in Nature 326, 1987, pp. 137-42.

MCLEAN, A. R. e NOWAK, M. A. “Models of Interactions Between HIV and Other Pathogens”, in J. Theor. Biol. 155, 1992, pp. 69-86.

MELLORS, J. W. et alii. “Prognosis in HIV-1 Infection Predicted by the Quantity of Virus in Plasma”, in Science 272, 1996, pp. 1167-70.

MONTEIRO, L. H. A. e PIQUEIRA, J. R. C. “A Model for the Early Evolution of Self-replicating Polymers”, in J. Theor. Biol., 1998, a ser impresso.

MURRAY, J. D. Mathematical Biology. Berlin, Springer-Verlag, 1990.

NOVAK, M. A. “Variability of HIV Infections”, in J. Theor. Biol. 155, 1992, pp. 1-20.

————— e MAY, R. M. “Coexistence and Competition in HIV Infections”, in J. Theor. Biol. 159, 1992, pp. 329-42.

————— e MCMICHAEL, A. J. “How HIV Defeats the Immune System”, in Sci. Am. 273(2), 1995, pp. 42-9.

———— e BANGHAM, C. R. M. “Population Dynamics of Immune Responses to Persistent Viruses”, in Science 272, 1996, pp. 74-9.

————— et alii. “Antigenic Diversity Thresholds and the Development of AIDS”, in Science 254, 1991, pp. 963-69.

—————. “Antigenic Oscillations and Shifting Immunodominance in HIV-1 Infections”, in Nature 375, 1995, pp. 606-11.

—————. “HIV-1 Evolution and Disease Progression”, in Science 274, 1996, pp. 1008-10.

—————. “Anti-viral Drug Treatment: Dynamics of Resistance in Free Virus and Infected Cell Populations”, in J. Theor. Biol. 184, 1997, pp. 203-17.

OGG, G. S. et alii. “Quantitation of HIV-1-Specific Cytotoxic T Lymphocytes and Plasma Load of Viral RNA”, in Science, 279, 1998, pp. 2103-06.

O’BRIEN, S. J. e DEAN, M. “In Search of AIDS-Resistance Genes”, in Sci. Am. 277(3), 1997, pp. 28-35.

PERELSON, A. S. et alii. “HIV-1 Dynamics in Vivo: Virion Clearance Rate, Infected Cell Life-span, and Viral Generation Time”, in Science 271, 1996, pp. 1582-86.

PHILLIPS, A. N. “Reduction of HIV Concentration During Acute Infection: Independence from a Specific Immune Response”, in Science 271, 1996, pp. 497-99.

POPOVIC, M. et alii. “Detection, Isolation, and Continuous Production of Cytopathic Retroviruses (HTLV-III) from Patients with AIDS and Pre-AIDS”, in Science 224, 1984, pp. 497-500.

PRESTON, B. D. et alii. “Fidelity of HIV-1 Reverse Transcriptase”, in Science 242, 1988, pp. 1168-71.

RICHMAN, D. D. “HIV Therapeutics”, in Science 272, 1996, pp. 1886-8.

ROBERTS, J. D. et alii. “The Accuracy of Reverse Transcriptase from HIV-1”, in Science 242, 1988, pp. 1171-3.

SOLOMON, M. E. Dinâmica de Populações. São Paulo, Epusp, 1976.

ST. CLAIR, M. H. et alii. “Resistance to ddI and Sensitivity to AZT Induced by a Mutation in HIV-1 Reverse Transcriptase”, in Science 253, 1991, pp. 1557-59.

WEI, X. et alii. “Viral Dynamics in Human Immunodeficiency Virus Type 1 Infection”, in Nature 373, 1995, pp. 117-22.

WEIN, L. M. et alii. “Population Dynamics of Immune Responses to Persistent Viruses”, in Science 272, 1996, pp. 74-9.

WINKLER, C. et alii. “Genetic Restriction of AIDS Pathogenesis by an SDF-1 Chemokine Gene Variant”, in Science 279, 1998, pp. 389-93.

YARCHOAN, R. et alii. “AIDS Therapies”, in Sci. Am. 259(4), 1988, pp. 88-97.

ZHU, T. et alii. “An African HIV-1 Sequence from 1959 and Implications for the Origin of the Epidemic”, in Nature 391, 1998, pp. 594-7.

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Publicado

1998-08-30

Como Citar

MONTEIRO, LUIZ HENRIQUE ALVES; PIQUEIRA, JOSÉ ROBERTO CASTILHO. A MATEMÁTICA PODE AJUDAR NA LUTA CONTRA O HIV?. Revista USP, São Paulo, Brasil, n. 38, p. 166–177, 1998. DOI: 10.11606/issn.2316-9036.v0i38p166-177. Disponível em: https://revistas.usp.br/revusp/article/view/28412.. Acesso em: 22 dez. 2024.