Apoptosis in virus infection dynamics models

Journal of Biological Dynamics

Volumn 8, Issue 1, 2014, Pages 20-41

  Fan, Ruili ^a   Dong, Yueping ^b   Huang, Gang ^a   Takeuchi, Yasuhiro ^c  

^a CHINA UNIVERSITY OF GEOSCIENCES   (China)

^b SHIZUOKA UNIVERSITY   (Japan)

^c AOYAMA GAKUIN UNIVERSITY   (Japan)

Author keywords

apoptosis; discrete delay; Hopf bifurcation; virus dynamics

Indexed keywords

APOPTOSIS; BIOLOGICAL MODEL; COMPUTER SIMULATION; HIV INFECTIONS; HUMAN; IMMUNOLOGY; MATHEMATICAL COMPUTING; PATHOLOGY; TIME; VIROLOGY;

APOPTOSIS; COMPUTER SIMULATION; HIV INFECTIONS; HUMANS; MODELS, BIOLOGICAL; NUMERICAL ANALYSIS, COMPUTER-ASSISTED; TIME FACTORS;

EID: 84908040758     PISSN: 17513758     EISSN: 17513766     Source Type: Journal    
DOI: 10.1080/17513758.2014.895433     Document Type: Article

References (58)

1. B. Ahr, V. Robert-Hebmann, C. Devaux, and M. Biard-Piechaczyk, Apoptosis of uninfected cells induced by HIV envelope glycoproteins, Retrovirology 1 (2004), p. 12. doi: 10.1186/1742-4690-1-12
2. B. Alberts, A. Johnson, J. Lewis, M. Raff, K. Roberts, and P. Walter, Molecular Biology of the Cell, 5th ed., Garland Science, New York, 2008.
3. J.B. Alimonti, T.B. Ball, and K.R. Fowke, Mechanisms of CD4+ T lymphocyte cell death in human immunodeficiency virus infection and AIDS, J. Gen. Virol. 84 (2003), pp. 1649–1661. doi: 10.1099/vir.0.19110-0
4. H.K. Altes, D. Wodarz, and V.A.A. Jansen, The dual role of CD4+T helper cells in the infection dynamics of HIV and their importance for vaccination, J. Theor. Biol. 214 (2002), pp. 633–646. doi: 10.1006/jtbi.2001.2483
5. J.C. Ameisen, J. Estaquier, T. Idziorek, and F.De. Bels, The relevance of apoptosis to AIDS pathogenesis, Trends Cell Biol. 5 (1995), pp. 27–32. doi: 10.1016/S0962-8924(00)88933-3
6. R.M. Anderson and R.M. May, The population dynamics of microparasites and their invertebrate hosts, Phil. Trans. R. Soc. Lond. B. 291 (1981), pp. 451–524. doi: 10.1098/rstb.1981.0005
7. A.D. Badley, A.A. Pilon, A. Landay, and D.H. Lynch, Mechanisms of HIV-associated lymphocyte apoptosis, Blood 96 (2000), pp. 2951–2964.
8. B. Bittner, S. Bonhoeffer, and M.A. Nowak, Virus load and antigenic diversity, Bull. Math. Biol. 59 (1997), pp. 881–896. doi: 10.1007/BF02459997
9. R.J. de Boer and M.C. Boerlijst, Diversity and virulence thresholds in AIDS, Proc. Natl Acad. Sci USA 91 (1994), pp. 544–548. doi: 10.1073/pnas.91.2.544
10. S. Bonhoeffer, J.M. Coffin, and M.A. Nowak, Human immunodeficiency virus drug therapy and virus load, J. Virol. 71 (1997), pp. 3275–3278.
11. P. Borrow, D.F. Tough, D. Eto, A. Tishon, I.S. Grewal, J. Sprent, R.A. Flavell, and M.B.A. Oldstone, CD40 ligand-mediated interactions are involved in the generation of memory CD8+ Cytotoxic T Lymphocytes (CTL) but are not required for the maintenance of CTL memory following virus infection, J. Virol. 72 (1998), pp. 7440–7449.
12. D.S. Callaway and A.S Perelson, HIV-1 infection and low steady state viral loads, Bull. Math. Biol. 64 (2002), pp. 29–64. doi: 10.1006/bulm.2001.0266
13. R.V. Culshaw, S. Ruan, and R.J. Spiteri, Optimal HIV treatment by maximising immune response, J. Math. Biol. 48 (2004), pp. 545–562 doi: 10.1007/s00285-003-0245-3
14. D.C. Douek, M. Roederer, and R.A. Koup, Emerging concepts in the immunopathogenesis of AIDS, Annu. Rev. Med. 60 (2009), pp. 471–484. doi: 10.1146/annurev.med.60.041807.123549
15. T.H. Finkel and N.K. Banda, Indirect mechanisms of HIV pathogenesis: How does HIV kill T cells? Curr. Opin. Immunol. 6 (1994), pp. 605–615. doi: 10.1016/0952-7915(94)90149-X
16. J. Forde and P. Nelson, Applications of Sturm sequences to bifurcation analysis of delay differential equation models, J. Math. Anal. Appl. 300 (2004), pp. 273–284. doi: 10.1016/j.jmaa.2004.02.063
17. H. Garg, J. Mohl, and A. Joshi, HIV-1 induced bystander apoptosis, Viruses 4 (2012), pp. 3020–3043. doi: 10.3390/v4113020
18. M.L. Gougeon, To kill or be killed: How HIV exhausts the immune system, Cell Death Differ. 12 (2005), pp. 845–854. doi: 10.1038/sj.cdd.4401616
19. M.L. Gougeon and L. Montagnier, Apoptosis in AIDS, Science 260 (1993), pp. 1269–1270.
20. M.L. Gougeon, V. Colizzi, A. Dalgleish, and L. Montagnier, New concepts in AIDS pathogenesis, AIDS Res. Hum. Retroviruses 9 (1993), pp. 287–289. doi: 10.1089/aid.1993.9.287
21. Z. Grossman, M. Meier-Schellersheim, A.E. Sousa, R.M. Victorino, and W.E. Paul, CD4+T cell depletion in HIV infection: Are we closer to understanding the cause? Nat. Med. 8 (2002), pp. 319–323. doi: 10.1038/nm0402-319
22. G. Herbein, U. Mahlknecht, F. Batliwalla, P. Gregersen, T. Pappas, J. Butler, W.A. O'Brien, and E. Verdin, Apoptosis of CD8+ T cells is mediated by macrophages through interaction of HIV gp120 with chemokine receptor CXCR4, Nature 395 (1998), pp. 189–194. doi: 10.1038/26026
23. D.D. Ho, A.U. Neumann, A.S. Perelson, W. Chen, J.M. Leonard, and M. Markowitz, Rapid turnover of plasma virions and CD4 lymphocytes in HIV-1 infection, Nature 373 (1995), pp. 123–126. doi: 10.1038/373123a0
24. G. Huang, Y. Takeuchi, and A. Korobeinikov, HIV evolution and progression of the infection to AIDS, J. Theor. Biol. 307 (2012), pp. 149–159. doi: 10.1016/j.jtbi.2012.05.013
25. Y. Iwasa, F. Michor, and M. Nowak, Some basic properties of immune selection, J. Theor. Biol. 229 (2004), pp. 179–188. doi: 10.1016/j.jtbi.2004.03.013
26. Y. Iwasa, F. Michor, and M.A. Nowak, Virus evolution within patients increases pathogenicity, J. Theor. Biol. 232 (2005), pp. 17–26. doi: 10.1016/j.jtbi.2004.07.016
27. S. Iwami, T. Miura, S. Nakaoka, and Y. Takeuchi, Immune impairment in HIV infection: Existence of risky and immunodeficiency thresholds, J. Theor. Biol. 260 (2009), pp. 490–501. doi: 10.1016/j.jtbi.2009.06.023
28. S. Iwami, S. Nakaoka, Y. Takeuchi, Y. Miura, and T. Miura, Immune impairment thresholds in HIV infection, Immunol. Lett. 123 (2009), pp. 149–154. doi: 10.1016/j.imlet.2009.03.007
29. M.S. Killian and J.A. Levy, HIV/AIDS:30 years of progress and future challenges, Eur. J. Immunol. 41 (2011), pp. 3401–3411. doi: 10.1002/eji.201142082
30. D.C. Krakauer and M. Nowak, T-cell induced pathogenesis in HIV: Bystander effects and latent infection, Proc. R. Soc. Lond. B. 266 (1999), pp. 1069–1075. doi: 10.1098/rspb.1999.0745
31. M.R. Lopez-Huertas, E. Mateos, M.S. del Cojo, F. Gomez-Esquer, G. Diaz-Gil, S. Rodriguez-Mora, J.A. Lopez, E. Calvo, G. Lopez-Campos, J. Alcami, and M. Coiras, The presence of HIV-1 Tat protein second exon delays fas protein-mediated apoptosis in CD4+ T lymphocytes: A potential mechanism for persistent viral production, J. Biol. Chem. 288 (2013), pp. 7626–7644. doi: 10.1074/jbc.M112.408294
32. K.J. Maloy, C. Burkhart, T.M. Junt, B. Odermatt, A. Oxenius, L. Piali, R.M. Zinkernagel, and H. Hengartner, CD4+T cell subsets during virus infection. Protective capacity depends on effector cytokine secretion and on migratory capability, J. Exp. Med. 191 (2000), pp. 2159–2170. doi: 10.1084/jem.191.12.2159
33. J.M. McCune, The dynamics of CD4+ T-cell depletion in HIV disease, Nature 410 (2001), pp. 974–979. doi: 10.1038/35073648
34. M.J. Mhawej, C. Brunet-Francois, R. Fonteneau, D. Ernst, V. Ferre, G.B. Stan, F. Raffi, and C.H. Moog, Apoptosis characterizes immunological failure of HIV infected patients, Control Eng. Pract. 17 (2009), pp. 798–804. doi: 10.1016/j.conengprac.2009.01.001
35. P.W. Nelson and A.S. Perelson, Mathematical analysis of delay differential equation models of HIV-1 infection, Math. Biosci. 179 (2002), pp. 73–94. doi: 10.1016/S0025-5564(02)00099-8
36. M.A. Nowak and C.R.M. Bangham, Population dynamics of immune responses to persistent viruses, Science 272 (1996), pp. 74–79.
37. V. O'Brien, Viruses and apoptosis, J. Gen. Virol. 79 (1998), pp. 1833–1845.
38. G. Pantaleo and A.S. Fauci, Apoptosis in HIV infection, Nat. Med. 1 (1995), pp. 118–120. doi: 10.1038/nm0295-118
39. A.S. Perelson, Modelling viral and immune system dynamics, Nat. Rev. Immunol. 2 (2002), pp. 28–36. doi: 10.1038/nri700
40. A.S. Perelson and P.W. Nelson, Mathematical analysis of HIV-1 dynamics in vivo, SIAM Rev. 41 (1999), pp. 3–44.
41. A.S. Perelson, D.E. Kirschner, and R. De Boer, Dynamics of HIV infection of CD4+T cells, Math. Biosci. 114 (1993), pp. 81–125. doi: 10.1016/0025-5564(93)90043-A
42. A.S. Perelson, A.U. Neumann, M. Markowitz, J.M. Leonard, and D.D. Ho, HIV-1 dynamics in vivo: Virion clearance rate, infected cell life-span, and viral generation time, Science 271 (1996), pp. 1582–1586. doi: 10.1126/science.271.5255.1582
43. A.S. Perelson, 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), pp. 188–191. doi: 10.1038/387188a0
44. R.R. Regoes, D. Wodarz, and M.A. Nowak, Virus dynamics: The effect of target cell limitation and immune responses on virus evolution, J. Theor. Biol. 191 (1998), pp. 451–462 doi: 10.1006/jtbi.1997.0617
45. G.B. Stan, F. Belmudes, R. Fonteneau, F. Zeggwagh, M.A. Lefebvre, C. Michelet, and D. Ernst, Modelling the influence of activation-induced apoptosis of CD4+ and CD8+ T-cells on the immune system response of a HIV-infected patient, IET Syst. Biol. 2 (2008), pp. 94–102. doi: 10.1049/iet-syb:20070029
46. J. Tam, Delay effect in a model for virus replication, Math. Med. Biol. 16 (1999), pp. 29–37. doi: 10.1093/imammb/16.1.29
47. L. Vassena, M. Proschan, A.S. Fauci, and P. Lusso, Interleukin 7 reduces the levels of spontaneous apoptosis in CD4+ and CD8+ T cells from HIV-1-infected individuals, Proc. Natl Acad. Sci. USA 104 (2007), pp. 2355–2360. doi: 10.1073/pnas.0610775104
48. D.L. Vaux and A. Strasser, The molecular biology of apoptosis, Proc. Natl Acad. Sci. USA 93 (1996), pp. 2239–2244. doi: 10.1073/pnas.93.6.2239
49. X. Wei, J.M. Decker, S. Wang, H. Hui, J.C. Kappes, X. Wu, J.F. Salazar-Gonzalez, M.G. Salazar, J.M. Kilby, M.S. Saag, N.L. Komarova, M.A. Nowak, B.H. Hahn, P.D. Kwong, and G.H. Shaw, Antibody neutralization and escape by HIV-1, Nature 422 (2003), pp. 307–312. doi: 10.1038/nature01470
50. E. White, Life, death, and the pursuit of apoptosis, Genes Dev. 10 (1996), pp. 1–15. doi: 10.1101/gad.10.1.1
51. D. Wodarz and V.A.A. Jansen, The role of T cell help for anti-viral CTL responses, J. Theor. Biol. 211 (2001), pp. 419–432. doi: 10.1006/jtbi.2001.2358
52. D. Wodarz and M.A. Nowak, Specific therapy regimes could lead to long-term immunological control of HIV, Proc. Natl Acad. Sci. USA 96 (1999), pp. 14464–14469. doi: 10.1073/pnas.96.25.14464
53. D. Wodarz and A.R. Thomsen, Does programmed CTL proliferation optimize virus control, Trends Immunol. 26 (2005), pp. 305–310.
54. D. Wodarz, S.E. Hall, K. Usuku, M. Osame, G.S. Ogg, A.J. McMichael, M.A. Nowak, and C.R.M. Bangham, Cytotoxic T-cell abundance and virus load in human immunodeficiency virus type 1 and human T-cell leukaemia virus type 1, Proc. R. Soc. Lond. B. 268 (2001), pp. 1215–1221. doi: 10.1098/rspb.2001.1608
55. D. Wodarz, J.P. Christensen, and A.R. Thomsen, The importance of lytic and nonlytic immune responses in viral infections, Trends Immunol. 23 (2002), pp. 194–200. doi: 10.1016/S1471-4906(02)02189-0
56. L.S. Young, C.W. Dawson, and A.G. Eliopoulos, Viruses and apoptosis, Br. Med. Bull. 53 (1997), pp. 509–521. doi: 10.1093/oxfordjournals.bmb.a011627
57. F.Y. Yue, C.M. Kovacs, R.C. Dimayuga, X.X.J. Gu, P. Parks, R. Kaul, and M.A. Ostrowski, Preferential apoptosis of HIV-1-specific CD4+ T cells, J. Immunol. 174 (2005), pp. 2196–2204.
58. H. Zhu and X. Zou, Dynamics of a HIV-1 infection model with cell-mediated immune response and intracellular delay, Disc. Cont. Dyn. Syst. B 12 (2009), pp. 511–524. doi: 10.3934/dcdsb.2009.12.511