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A MODEL FOR CONTINUOUSLY MUTANT HIV-1

H. Ortega1 and M. Martín2
1Facultad de Medicina
2Laboratorio de Física y Química Computacional, Centro de Resonancia Magnética
Escuela de Física, Facultad de Ciencias
Universidad Central de Venezuela
Postal Address: Apartado Postal 47586, Caracas 1041-A, Venezuela
mmartin@fisica.ciens.ucv.ve


[Poster presentation, World Congress on Medical Physics and Bioengineering, Chicago, USA, July 23-28, 2000.]


Abstract

In this model we use the immunodominance concept introduced by Nowak et al. (1995) for explaining variations in the immune response induced against virus having mutant epitopes. We propose as source of free virions, mononuclear peripheral blood cells such as macrophages, in addition to the currently accepted one, the T-CD4 cells. Our model suppose healthy and infected reservoirs, virions, T-helper and cytotoxic cells. Reservoirs after infected by virus, and exhibit viral epitopes. They are attacked by cytotoxic cells addressed against those epitopes seen by the immune system. We also propose extra cellular T-helper cell coordinated attack against free virions. We begin studying just one viral variant, and after making some approximations, we find a stability criterion that allows differentiating control from viral outgrowth. When analyzing the system without any approximation, we find no analytical solution, but numerical simulations show that a) the precedent criterion is, however, useful, in determining the system evolution, and b) cytotoxic cell attack against reservoirs is a powerful resource in viral control. We then generalize our model to situations with N epitopes, each one with M viral variants (for simulations N=M=2), and we use a Metropolis-like algorithm for generating viral variants. Viral mutability and number of viral variants are related to viral progression. Our results suggest that it is important to include in the therapy control mechanisms for avoiding viral invasion and proliferation inside reservoirs. Until this goal is achieved avoiding infection is the only safe measure against AIDS.



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References

  1. Nowak, M.A., R. M. May, R. E. Phillips, S. Rowland-Jones, D. G. Lallo, S. McAdam, P. Klenerman, B. Köppe, K. Sigmund, C. R. M. Bangham and A. J. McMichael, Antigenic Oscillations and Shifting Immunodominance in HIV-1 Infections, Nature 375 (1995) 606-611.

  2. Nowak, M.A., and M. C. Bangham, Population Dynamics of Immune Responses to Persistent Viruses, Science 272 (1996) 74-79.

  3. Nowak, M.A., S. Bonhoeffer, G. M. Shaw and R. May, Anti-viral Drug Treatment: Dynamics of Resistence in Free Virus and Infected Cell populations, Journal of Theoretical Biology 184 (1997) 203-217.

  4. Chun, T.H., L. Carruth, D. Finzi, X. Shen, J. A. DiGiuseppe, H. Taylor, M. Hermankova, K. Chadwick, J. Margolick, T. C. Quinn, Y. Kuo, R. Brookmeyer, M. A. Zeiger, P. Barditch-Crovo, and R. F. Siciliano, Quantification of Latent Tissue Reservoirs and Total Body Viral Load in HIV-1 Infection, Nature 387 (1997) 183-188.

  5. Gartner, S., P. Markovits, D. M. Markovitz, M. H. Kaplan, R. C. Gallo and M. Popovic, The Role of Mononuclear Phagocytes in HTLV-III/LAV Infection, Science 233 (1986) 215-219.

  6. Orenstein, J., C. Fox and S. Wahl, Macrophages as a Source of HIV During Opportunistic Infections, Science 276 (1997) 1857-1861.

  7. Perelson, A. S., A. Neumann, M. Markowitz, J. Leonard and D. D. Ho, HIV-1 Dynamics in vivo: Virion Clearance Rate, Infected Cell Life-span, and Viral Generation Time, Science 271 (1996) 1582-1586.

  8. Perelson, A. S., P. Essunger, Y. Cao. M. Vesanen, A. Hurley, K. Saksela, M. Markowitz and D. D. Ho, Decay Characteristics of HIV-1-infected Compartments During Combination Therapy, Nature 387 (1997) 188-191.

[Web page manteined by Prof. Rafael Martín, updated on march 18th, 2001]


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