The Evolution of Virulence in RNA Viruses under a Competition-Colonization Trade-Off

Bulletin of Mathematical Biology

Volumn 73, Issue 8, 2011, Pages 1881-1908

  Delgado Eckert, Edgar ^a,b   Ojosnegros, Samuel ^a   Beerenwinkel, Niko ^a,b  

^a ETH ZURICH   (Switzerland)

^b SWISS INSTITUTE OF BIOINFORMATICS   (Switzerland)

Author keywords

Attenuation of virulency; Competition colonization dynamics; Evolution of virulence; RNA virus; SIR models of viral infection

Indexed keywords

ARTICLE; BASIC REPRODUCTION NUMBER; BIOLOGICAL MODEL; COMPUTER SIMULATION; GENETICS; MOLECULAR EVOLUTION; MUTATION; PATHOGENICITY; RNA VIRUS; VIRULENCE;

BASIC REPRODUCTION NUMBER; COMPUTER SIMULATION; EVOLUTION, MOLECULAR; MODELS, GENETIC; MUTATION; RNA VIRUSES; VIRULENCE;

RNA VIRUSES;

EID: 79959585765     PISSN: 00928240     EISSN: 15229602     Source Type: Journal    
DOI: 10.1007/s11538-010-9596-2     Document Type: Article

References (41)

1. Anderson, R. M., & May, R. M. (1982). Coevolution of hosts and parasites. Parasitology, 85(Pt 2), 411-426.
2. Barnett, S., & Šiljak, D. D. (1977). Routh's algorithm: a centennial survey. SIAM Rev., 19(3), 472-489.
3. Boldin, B., & Diekmann, O. (2008). Superinfections can induce evolutionarily stable coexistence of pathogens. J. Math. Biol., 56(5), 635-672. doi: 10. 1007/s00285-007-0135-1.
4. Bonhoeffer, S., Lenski, R. E., & Ebert, D. (1996). The curse of the pharaoh: the evolution of virulence in pathogens with long living propagules. Proc. Biol. Sci., 263(1371), 715-721. doi: 10. 1098/rspb. 1996. 0107.
5. Bonhoeffer, S., May, R. M., Shaw, G. M., & Nowak, M. A. (1997). Virus dynamics and drug therapy. Proc. Nat. Acad. Sci. USA, 94(13), 6971-6976. URL http://www. pnas. org/content/94/13/6971. abstract.
6. Bonhoeffer, S., & Nowak, M. A. (1994). Mutation and the evolution of virulence. Proc. Biol. Sci., 258(1352), 133-140.
7. Bremermann, H. J., & Thieme, H. R. (1989). A competitive exclusion principle for pathogen virulence. J. Math. Biol., 27(2), 179-190.
8. Bull, J. J. (1994). Virulence. Evolution, 48(5), 1423-1437.
9. Bull, J. J., Millstein, J., Orcutt, J., & Wichman, H. A. (2006). Evolutionary feedback mediated through population density, illustrated with viruses in chemostats. Am. Nat., 167(2), E39-E51. doi: 10. 1086/499374.
10. Coombs, D., Gilchrist, M. A., & Ball, C. L. (2007). Evaluating the importance of within- and between-host selection pressures on the evolution of chronic pathogens. Theor. Popul. Biol., 72(4), 576-591. doi: 10. 1016/j. tpb. 2007. 08. 005.
11. Cooper, V. S., Reiskind, M. H., Miller, J. A., Shelton, K. A., Walther, B. A., Elkinton, J. S., & Ewald, P. W. (2002). Timing of transmission and the evolution of virulence of an insect virus. Proc. Biol. Sci., 269(1496), 1161-1165. doi: 10. 1098/rspb. 2002. 1976.
12. Cushing, J. M. (1977). Integrodifferential equations and delay models in population dynamics. Lecture notes in biomathematics. New York: Springer.
13. Deuflhard, P., & Bornemann, F. (2008). Numerische Mathematik: Vol. 2. de Gruyter Lehrbuch [de Gruyter Textbook]. Berlin: de Gruyter (revised ed.). Gewöhnliche Differentialgleichungen [Ordinary differential equations].
14. Domingo, E. (Ed.) (2006). Quasispecies: concepts and implications for virology. Current topics in microbiology and immunology. Berlin, Heidelberg: Springer.
15. Domingo, E., & Holland, J. J. (1997). RNA virus mutations and fitness for survival. Annu. Rev. Microbiol., 51, 151-178. doi: 10. 1146/annurev. micro. 51. 1. 151.
16. Eigen, M. (1971). Self-organization of matter and the evolution of biological macromolecules. Naturwissenschaften, 58(10), 465-523.
17. Eigen, M., McCaskill, J., & Schuster, P. (1988). Molecular quasi-species. J. Phys. Chem., 92(24), 6881-6891.
18. Epperson, J. F. (2007). An introduction to numerical methods and analysis. New York: Wiley-Interscience (revised ed.).
19. Ewald, P. W. (1983). Host-parasite relations, vectors, and the evolution of disease severity. Annu. Rev. Ecol. Syst., 14, 465-485.
20. Frank, S. A. (1996). Models of parasite virulence. Q. Rev. Biol., 71(1), 37-78.
21. García-Arriaza, J., Ojosnegros, S., Dávila, M., Domingo, E., & Escarmís, C. (2006). Dynamics of mutation and recombination in a replicating population of complementing, defective viral genomes. J. Mol. Biol., 360(3), 558-572. doi: 10. 1016/j. jmb. 2006. 05. 027. URL http://www. sciencedirect. com/science/article/B6WK7-4K1G466-6/2/0e0dded6dbae0dad0b454d2ff9395a7a.
22. Holland, J. J., Torre, J. C. D. L., & Steinhauer, D. A. (1992). RNA virus populations as quasispecies. Curr. Top. Microbiol. Immunol., 176, 1-20.
23. Jung, A., Maier, R., Vartanian, J., Bocharov, G., Jung, V., Fischer, U., Meese, E., Wain-Hobson, S., & Meyerhans, A. (2002). Recombination: multiply infected spleen cells in HIV patients. Nature, 418, 144.
24. Königsberger, K. (2004). Analysis 2 (5th ed.). Berlin, Heidelberg: Springer.
25. Korobeinikov, A. (2004). Global properties of basic virus dynamics models. Bull. Math. Biol., 66(4), 879-883.
26. Krakauer, D. C., & Komarova, N. L. (2003). Levels of selection in positive-strand virus dynamics. J. Evol. Biol., 16(1), 64-73.
27. Kryazhimskiy, S., Dieckmann, U., Levin, S. A., & Dushoff, J. (2007). On state-space reduction in multi-strain pathogen models, with an application to antigenic drift in influenza A. PLoS Comput. Biol., 3(8), e159. doi: 10. 1371/journal. pcbi. 0030159.
28. Lenski, R. E., & May, R. M. (1994). The evolution of virulence in parasites and pathogens: reconciliation between two competing hypotheses. J. Theor. Biol., 169(3), 253-265.
29. May, R. M., & Nowak, M. A. (1994). Superinfection, metapopulation dynamics, and the evolution of diversity. J. Theor. Biol., 170(1), 95-114. doi: 10. 1006/jtbi. 1994. 1171.
30. Novella, I. S., Reissig, D. D., & Wilke, C. O. (2004). Density-dependent selection in vesicular stomatitis virus. J. Virol., 78(11), 5799-5804. doi: 10. 1128/JVI. 78. 11. 5799-5804. 2004.
31. Nowak, M., & May, R. (2000a). Virus dynamics. London: Oxford University Press.
32. Nowak, M. A. (2006). Evolutionary dynamics. Cambridge: The Belknap Press of Harvard University Press.
33. Nowak, M. A., & May, R. M. (1994). Superinfection and the evolution of parasite virulence. Proc. Biol. Sci., 255(1342), 81-89. doi: 10. 1098/rspb. 1994. 0012.
34. Nowak, M. A., & May, R. M. (2000b). Virus dynamics. Mathematical principles of immunology and virology. Oxford: Oxford University Press.
35. Ojosnegros, S., Beerenwinkel, N., Antal, T., Nowak, M. A., Escarmísa, C., & Domingo, E. (2010a). Competition-colonization dynamics in an RNA virus. Proc. Natl. Acad. Sci. USA, 107(5), 2108-2112. doi: 10. 1073/pnas. 0909787107.
36. Ojosnegros, S., Beerenwinkel, N., & Domingo, E. (2010b). Competition-colonization dynamics: an ecology approach to quasispecies dynamics and virulence evolution in RNA viruses. Commun. Integr. Biol., 3(4), 333-336.
37. Perelson, A., & Nelson, P. (1999). Mathematical analysis of HIV-1 dynamics in vivo. SIAM Rev., 41(1), 3-44.
38. Sanz-Ramos, M., Diaz-San Segundo, F., Escarmis, C., Domingo, E., & Sevilla, N. (2008). Hidden virulence determinants in a viral quasispecies in vivo. J. Virol., 82(21), 10, 465-10, 476. doi: 10. 1128/JVI. 00825-08. URL http://jvi. asm. org/cgi/content/abstract/82/21/10465.
39. Tilman, D. (1994). Competition and biodiversity in spatially structure habitats. Ecology, 75, 2-16.
40. De la Torre, J. C., & Holland, J. J. (1990). RNA virus quasispecies populations can suppress vastly superior mutant progeny. J. Virol., 64(12), 6278-6281.
41. Turner, P. E., & Chao, L. (1999). Prisoner's dilemma in an RNA virus. Nature, 398(6726), 441-443. doi: 10. 1038/18913.