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HIV time hierarchy: winning the war while, loosing all the battles. (English) Zbl 0971.92511
Summary: AIDS is the pandemic of our era. A disease that scares us not only because it is fatal but also because its insidious time course makes us all potential carriers long before it hands us our heads in a basket. The strange three stage dynamics of aids is also one of the major puzzles while describing the disease theoretically (Pantaleo et al., N. Engl. J. Med. 328 (1993) 327). Aids starts, like most diseases, in a peak of virus expression \([\)R.M. Zorzenon dos Santos, Immune responses: Getting close to experimental results with cellular automata models, in: D. Stauffer (Ed.), Annual Review of Computational Physics VI, 1999, pp. 159-202; R.M. Zorzenon dos Santos, S.C. Coutinho, On the dynamics of the evolution of HIV infection, cond-mat/0008081\(]\), which is practically wiped out by the immune system. However it then remains in the body at a low level of expression until later (some time years later) when there is an outbreak of the disease which terminally cripples the immune system causing death from various common pathogens. In this paper we show, using a microscopic simulation, that the time course of AIDS is determined by the interactions of the virus and the immune cells in the shape space of antigens and that it is the virus’s ability to move more rapidly in this space (its high mutability) that causes the time course and eventual “victory” of the disease. These results open the way for further experimental and therapeutic conclusions in the ongoing battle with the HIV epidemic.

92D30 Epidemiology
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[1] Pantaleo, G.; Graziozi, C.; Fauci, A., The immunopathogenesis of human-immunodeficiency-virus infection, N. engl. J. med., 328, 327, (1993)
[2] R.M. Zorzenon dos Santos, Immune responses: getting close to experimental results with cellular automata models, in: D. Stauffer (Ed.), Annual Review of Computational Physics VI, 1999, pp. 159-202, notice especially Fig. 13.
[3] R.M. Zorzenon dos Santos, S.C. Coutinho, On the dynamics of the evolution of HIV infection, cond-mat/0008081. · Zbl 1395.92093
[4] R.E. Hurlbert, http://www.wsu.edu:8080/\( ̃\)hurlbert/pages/Chap16.html#STD_intro
[5] Y. Louzoun, I. Cohen, H. Atlan, Destruction of CD4 T lymphocytes alone cannot account for their long-term decrease in AIDS, PNAS, (2000), submitted math-0008052.
[6] A.S. Pearlson, Modeling the interaction of HIV with the immune system, in: C. Castilo-Chavez (Ed.), Mathematical and Statistical Approaches to AIDS Epidemiology, Lecture Notes in Biomathematics, Vol. 83, 1989, pp. 350-370.
[7] Kirschner, D.E.; Mehr, R.; Perelson, A.S., Role of the thymus in pediatric HIV-1 infection, J. AIDS retroviro., 18, 95-109, (1998)
[8] Nowak, M.A.; Bangham, C.R.M., Population dynamics of immune response to persistent viruses, Science, 272, 74-79, (1996)
[9] Roberts, J.D.; Benbenk, K.; Kunkel, T.A., The accuracy of reverse transcriptase from HIV-1, Science, 242, 1171-1173, (1988)
[10] Takeuchi, Y.; Nagumo, T.; Hoshino, H., Low fidelity of cell-free DNA synthesis by reverse transcriptase of human immunodeficiency virus, J. virol., 62, 3900-3902, (1989)
[11] Chun, T.-W.; Carruth, L.; Finzi, D., Quantification of latent tissue reservoirs and total body viral load in HIV infection, Nature, 387, 183-187, (1997)
[12] Nowak, M.A.; McMichael, A.J., How HIV defeats the immune system, Sci. am., 273, 58-65, (1995)
[13] R.M. Berry, M.A. Nowak, A role for defective mutants in HIV pathogenesis, J. Theoret. Biol. 171 (1994).
[14] M.A. Nowak, R.M. Anderson, A.R. McLean, T.F. Wolfs, J. Goudsmit, R.M. May, Antigenic diversity thresholds and the development of AIDS, Science 254 (1991) 941, 963-969.
[15] Nowak, M.A.; May, R.M.; Philips, R.E., Antigenic oscillations and shifting immunodomminance in HIV-1 infections, Nature, 375, 606-611, (1995)
[16] Bonhoeffer, S.; Holmes, E.C.; Nowak, M.A., Causes of HIV diversity, Nature, 376, 125, (1995)
[17] Klatzman, D.; Champagne, E.; Camaret, S., T-lymphocyte T4 molecule acts as receptor for human retrovirus LAV, Nature, 312, 767-768, (1984)
[18] S. Solomon, The microscopic representation of complex macroscopic phenomena: “Critical slowing down - A blessing in disguise”, in: D. Stauffer (Ed.), Annual Reviews of Computational Physics II, World Scientific, Singapore, 1995, pp. 243-294.
[19] N. Persky, I. Kanter, S. Solomon, Cluster dynamics for randomly frustrated systems with finite connectivity, Phys. Rev. E 53 (1996) 1212, cond-mat/9604112.
[20] N. Persky, S. Solomon, Collective degrees of freedom and multiscale dynamics in spin glasses, Phys. Rev. E 54 (1996) 4399, cond-mat/9603056.
[21] Stenhill, I.; Solomon, S.; Wolowelsk, K., Dynamical algebraic multi-grid simulations of free fields on random triangulated surfaces, Comput. phys. commun., 83, 23-29, (1994) · Zbl 0868.65103
[22] Delwart, E.L.; Sheppard, H.W.; Walker, B.D.; Goudsmit, J.; Mulins, J.I., Human immunodeficiency virus type 1 evolution in vivo tracked by DNA hetroduplex mobility assays, J. virol., 68, 6672-6683, (1994)
[23] Pantaleo, G.; Demarest, J.F.; Schacker et al, T., The qualitative nature of primary immune response to HIV infection is a prognosticator of disease progression independant of initial level of plasma viremia, Pnas, 94, 254-258, (1997)
[24] Levy, J.; Shimabukuro, J.; McHugh, T.; Casavant, C.; Stites, D.; Oshiro, L., AIDS associated retroviruses (ARV) can productively infect other cells besides human T helper cells, Viriology, 147, 441-448, (1985)
[25] Tindall, B.; Hing, M.; Edwards, P.; Barnes, T.; Mackie, A.; Cooper, D.A., Severe clinical manifestations of primary HIV infection, Aids, 3, 747-749, (1989)
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