Free-virus and cell-to-cell transmission in models of equine infectious anemia virus infection

Mathematical Biosciences

Volumn 270, Issue , 2015, Pages 237-248

  Allen, Linda J S ^a   Schwartz, Elissa J ^b  

^a TEXAS TECH UNIVERSITY   (United States)

^b WASHINGTON STATE UNIVERSITY   (United States)

Author keywords

Branching process; Equine infectious anemia virus; Markov chain; Virus dynamics; Within host model

Indexed keywords

CELLS; CHAINS; CYTOLOGY; DIFFERENTIAL EQUATIONS; DISEASE CONTROL; DYNAMICS; MARKOV PROCESSES; ORDINARY DIFFERENTIAL EQUATIONS; PROBABILITY DISTRIBUTIONS; VIRUSES;

BASIC REPRODUCTION NUMBER; BRANCHING PROCESS; CELL-TO-CELL TRANSFER; GLOBALLY ASYMPTOTICALLY STABLE; HOST MODELS; INFECTION FREE EQUILIBRIUM; SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS; VIRUS DYNAMICS;

STRAIN;

ANEMIA; CELL ORGANELLE; INFECTIOUS DISEASE; MARKOV CHAIN; MODELING; VIRUS;

ARTICLE; BASIC REPRODUCTION NUMBER; CELL TO CELL VIRUS TRANSMISSION; DYNAMICS; EQUINE INFECTIOUS ANEMIA VIRUS INFECTION; FREE VIRUS TRANSMISSION; LENTIVIRUS INFECTION; MATHEMATICAL PARAMETERS; ORDINARY DIFFERENTIAL EQUATION; PATHOGEN CLEARANCE; PERSISTENT VIRUS INFECTION; PROBABILITY; VIRUS CELL INTERACTION; VIRUS MUTATION; VIRUS RESISTANCE; VIRUS TRANSMISSION; ANIMAL; EQUINE INFECTIOUS ANEMIA; EQUINE INFECTIOUS ANEMIA VIRUS; HORSE; PATHOGENICITY; THEORETICAL MODEL; TRANSMISSION;

EQUIDAE; EQUINE INFECTIOUS ANEMIA VIRUS; LENTIVIRUS;

ANIMALS; EQUINE INFECTIOUS ANEMIA; HORSES; INFECTIOUS ANEMIA VIRUS, EQUINE; MODELS, THEORETICAL;

EID: 84949536589     PISSN: 00255564     EISSN: 18793134     Source Type: Journal    
DOI: 10.1016/j.mbs.2015.04.001     Document Type: Article

References (34)

1. Allen L.J.S., Lahodny Jr.G.E. Extinction thresholds in deterministic and stochastic epidemic models. J. Biol. Dyn. 2012, 6:590-611.
2. Allen L.J.S., van den Driessche P. Relations between deterministic and stochastic thresholds for disease extinction in continuous- and discrete-time infectious disease models. Math. Biosci. 2013, 243:99-108.
3. Ball C.L., Gilchrist M.A., Coombs D. Modeling within-host evolution of HIV: mutation, competition and strain replacement. Bull. Math. Biol. 2007, 69:2361-2385.
4. Bangham C.R. The immune control and cell-to-cell spread of human T-lymphotropic virus type 1. J. Gen. Virol. 2003, 84(Pt. 12):3177-3189.
5. Bryan W.R. Interpretation of host response in quantitative studies on animal viruses. Ann. N. Y. Acad. Sci. 1957, 69(4):698-728.
6. Chen P., Hubner W., Riviere K., Liu Y.X., Chen B.K. Chimeric HIV-1 containing SIV matrix exhibit enhanced assembly in murine cells and replicate in a cell-type-dependent manner in human T cells. Virology 2006, 349(1):1-12.
7. Chen P., Hubner W., Spinelli M.A., Chen B.K. Predominant mode of human immunodeficiency virus transfer between T cells is mediated by sustained Env-dependent neutralization-resistant virological synapses. J. Virol. 2007, 81(22):12582-12595.
8. Ciupe S.M., Schwartz E.J. Understanding virus-host dynamics following EIAV infection in SCID horses. J. Theor. Biol. 2014, 343:1-8.
9. De Leenheer P., Pilyugin S.S. Multistrain virus dynamics with mutations: a global analysis. Math. Med. Biol. 2008, 25:285-322.
10. Dorman K.S., Sinsheimer J.S., Lange K. In the garden of branching processes. SIAM Rev. 2004, 46:202-229.
11. Freedman H.I., Ruan S., Tang M. Uniform persistence and flows near a closed positively invariant set. J. Dyn. Diff. Eqs. 1994, 6:583-600.
12. Harris T.E. The Theory of Branching Processes 1963, Springer-Verlag, Berlin.
13. Hasegawa A., Liu H., Ling B., Borda J.T., Alvarez X., Sugimoto C., Vinet-Oliphant H., Kim W.K., Williams K.C., Ribeiro R.M., Lackner A.A., Veazey R.S., Kuroda M.J. The level of monocyte turnover predicts disease progression in the macaque model of aids. Blood 2009, 114(14):2917-2925.
14. Jagers P. Branching Processes with Biological Applications 1975, John Wiley & Sons, London and New York.
15. Komarova N.L., Anghelina D., Voznesensky I., Trinite B., Levy D.N., Wodarz D. Relative contribution of free-virus and synaptic transmission to the spread of HIV-1 through target cell populations. Biol. Lett. 2013, 9(1):20121049.
16. Komarova N.L., Levy D.N., Wodarz D. Synaptic transmission and the susceptibility of HIV infection to anti-viral drugs. Sci. Rep. 2013, 3:2103.
17. Salle J.L., Lefschetz S. Stability by Liapunov's Direct Method with Applications 1961, Academic Press, New York.
18. Malbec M., Porrot F., Rua R., Horwitz J., Klein F., Halper-Stromberg A., Scheid J.F., Eden C., Mouquet H., Nussenzweig M.C., Schwartz O. Broadly neutralizing antibodies that inhibit HIV-1 cell to cell transmission. J. Exp. Med. 2013, 210(13):2813-2821.
19. Mansky L.M., Temin H.M. Lower in vivo mutation rate of human immunodeficiency virus type 1 than that predicted from the fidelity of purified reverse transcriptase. J. Virol. 1995, 69(8):5087-5094.
20. Mealey R.H., Littke M.H., Leib S.R., Davis W.C., McGuire T.C. Failure of low-dose recombinant human IL-2 to support the survival of virus-specific CTL clones infused into severe combined immunodeficient foals: lack of correlation between in vitro activity and in vivo efficacy. Vet. Immunol. Immunopathol. 2008, 121(1-2):8-22.
21. Perelson A.S., Ribeiro R.M. Modeling the within-host dynamics of HIV infection. BMC Biol. 2013, 11:96.
22. Pourbashash H., Pilyugin S.S., McCluskey C., De Leenheer P. Global analysis of within host virus models with cell-to-cell viral transmission. Discrete Continuous Dyn. Syst. B 2014, 19(10):3341-3357.
23. Sattentau Q. Avoiding the void: cell-to-cell spread of human viruses. Nat. Rev. 2008, 6:815-826.
24. Schwartz E.J., Pawekek K.A., Harrington K., Cangelosi R., Madrid S. Immune control of equine infectious anemia virus infection by cell-mediated and humoral responses. Appl. Math. 2013, 4:171-177.
25. Schwartz E.J., Smith R.J. Identifying the conditions under which antibodies protect against infection by equine infectious anemia virus. Vaccines 2014, 2:397-421.
26. E.J. Schwartz, N.K. Vaidya, K. Dorman, S. Carpenter, R.H. Mealey, Dynamics of lentiviral infection in vivo in the absence of adaptive host immune responses. Submitted for publication.
27. Shuai Z., van den Driessche P. Global stability of infectious disease models using Lyapunov functions. SIAM J. Appl. Math. 2013, 73:1513-1532.
28. Sigal A., Kim J.T., Balazs A.B., Dekel E., Mayo A., Milo R., Baltimore D. Cell-to-cell spread of HIV permits ongoing replication despite antiretroviral therapy. Nature 2011, 477(7362):95-98.
29. Sponseller B.A., Sparks W.O., Wannemuehler Y., Li Y., Antons A.K., Oaks J.L., Carpenter S. Immune selection of equine infectious anemia virus env variants during the long-term inapparent stage of disease. Virology 2007, 363(1):156-165.
30. Taylor S.D., Leib S.R., Carpenter S., Mealey R.H. Selection of a rare neutralization-resistant variant following passive transfer of convalescent immune plasma in equine infectious anemia virus-challenged SCID horses. J. Virol. 2010, 84:6536-6548.
31. Taylor S.D., Leib S.R., Wu W., Nelson R., Carpenter S., Mealey R.H. Protective effects of broadly neutralizing immunoglobulin against homologous and heterologous equine infectious anemia virus infection in horses with severe combined immunodeficiency. J. Virol. 2011, 85:6814-6818.
32. Valli V.E. Veterinary Comparative Hematopathology 2007, Blackwell Pub., Ames, Iowa.
33. van den Driessche P., Watmough J. Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Math. Biosci. 2002, 180:29-48.
34. Wu W., Blythe D.C., Loyd H., Mealey R.H., Tallmadge R.L., Dorman K.S., Carpenter S. Decreased infectivity of a neutralization-resistant equine infectious anemia virus variant can be overcome by efficient cell-to-cell spread. J. Virol. 2011, 85(19):10421-10424.