Modeling the dynamics of viral evolution considering competition within individual hosts and at population level: The effects of treatment

Bulletin of Mathematical Biology

Volumn 72, Issue 5, 2010, Pages 1294-1314

  Amaku, Marcos ^a   Burattini, Marcelo Nascimento ^a   Coutinho, Francisco Antonio Bezerra ^a   Massad, Eduardo ^a,b  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

^b LONDON SCHOOL OF HYGIENE AND TROPICAL MEDICINE   (United Kingdom)

Author keywords

Anti viral treatment; Evolution; Mutation; Viral competition

Indexed keywords

ALGORITHM; ANIMAL; ARTICLE; BIOLOGICAL MODEL; COMPUTER SIMULATION; DRUG EFFECT; GENETICS; HOST PATHOGEN INTERACTION; HUMAN; MOLECULAR EVOLUTION; MUTATION; ORGANISMAL INTERACTION; PATHOGENICITY; PHYSIOLOGY; PLANT DISEASE; POPULATION DYNAMICS; STATISTICS; VIRAL PHENOMENA AND FUNCTIONS; VIROLOGY; VIRULENCE; VIRUS; VIRUS INFECTION;

ALGORITHMS; ANIMALS; COMPUTER SIMULATION; EVOLUTION, MOLECULAR; HOST-PATHOGEN INTERACTIONS; HUMANS; MICROBIAL INTERACTIONS; MODELS, BIOLOGICAL; MUTATION; PLANT DISEASES; POPULATION DYNAMICS; VIRULENCE; VIRUS DISEASES; VIRUS PHYSIOLOGICAL PROCESSES; VIRUSES;

EID: 77954620564     PISSN: 00928240     EISSN: 15229602     Source Type: Journal    
DOI: 10.1007/s11538-009-9495-6     Document Type: Article

References (29)

1. Ball, C. L., Gilchrist, M. A., Coombs, D., 2007. Modeling within-host evolution of HIV: mutation, competition and strain replacement. Bull. Math. Biol. 69, 2361-2385. doi: 10. 1007/s11538-007-9223-z.
2. Bonhoeffer, S., Nowak, M. A., 1994. Mutation and the evolution of virulence. Proc. R. Soc. Lond. B 285, 133-140. doi: 10. 1098/rspb. 1994. 0153.
3. Bremermann, H. J., Thieme, H. R., 1988. A competitive exclusion principle for pathogen virulence. J. Math. Biol. 27, 179-190. doi: 10. 1007/BF00276102.
4. Burattini, M. N., Coutinho, F. A. B., Massad, E., 2008. Viral evolution and the competitive exclusion principle. Biosci. Hypotheses 1(3), 168-171. doi: 10. 1016/j. bihy. 2008. 05. 003.
5. 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, 576-591. doi: 10. 1016/j. tpb. 2007. 08. 005.
6. Day, T., 2001. Parasite transmission modes and the evolution of virulence. Evolution 55(12), 2389-2400.
7. Dib, L., Bitam, I., Tahri, M., Bensouilah, M., De Meeus, T., 2008. Competitive exclusion between piroplasmosis and anaplasmosis agents within cattle. PLoS Pathog. 4(1), 7.
8. Dixit, N. M., Perelson, A. S., 2005. HIV dynamics with multiple infections of target cells. Proc. Natl. Acad. Sci. USA 102, 8198-8203. doi: 10. 1073/pnas. 0407498102.
9. Gandon, S., Mackinnon, M. J., Nee, S., Read, A. F., 2001. Imperfect vaccines and the evolution of pathogen virulence. Nature 414, 751-756. doi: 10. 1038/414751a.
10. Hochberg, M. E., Holt, R. D., 1990. The coexistence of competing parasites. I. The role of cross-species infection. Am. Nat. 136, 517-541. doi: 10. 1086/285111.
11. Leontiev, V. V., Maury, W. J., Hadany, L., 2008. Drug induced superinfection in HIV and the evolution of drug resistance. Inf. Gen. Evol. 8, 40-50.
12. Levin, S., Pimentel, D., 1981. Selection of intermediate rates of increase in parasite-host systems. Am. Nat. 117, 308-315. doi: 10. 1086/283708.
13. Lipsitch, M., Nowak, M. A., 1995. The evolution of virulence in sexually transmitted HIV/AIDS. J. Theor. Biol. 174, 427-440. doi: 10. 1006/jtbi. 1995. 0109.
14. Lipsitch, M., Siller, S., Nowak, M. A., 1996. The evolution of virulence in pathogens with vertical and horizontal transmission. Evolution 50(5), 1729-1741.
15. Manrubia, S. C., Lázaro, E., 2006. Viral evolution. Phys. Life Rev. 3, 65-92. doi: 10. 1016/j. plrev. 2005. 11. 002.
16. Massad, E., 1997. Transmission rates and the evolution of HIV virulence. Evolution 50(2), 916-918.
17. May, R. M., Nowak, M., 1995. Coinfection and the evolution of parasite virulence. Proc. R. Soc. Lond. B 261, 209-215. doi: 10. 1098/rspb. 1995. 0138.
18. Mideo, N., Alizon, S., Day, T., 2008. Linking within- and between-host dynamics in the evolutionary epidemiology of infectious diseases. Trends Ecol. Evol. 23, 511-517.
19. Mosquera, J., Adler, F. R., 1998. Evolution of virulence-a unified framework for coinfection and superinfection. J. Theor. Biol. 195, 293-313. doi: 10. 1006/jtbi. 1998. 0793.
20. Nowak, M. A., May, R. M., 2004. Virus Dynamics: Mathematical Principles of Immunology and Virology. Oxford University Press, Oxford.
21. Perelson, A. S., 2002. Modelling viral and immune system dynamics. Nat. Rev. Immunol. 2, 28-36. doi: 10. 1038/nri700.
22. Perelson, A. S., Nelson, P. W., 1999. Mathematical analysis of HIV-1 dynamics in vivo. SIAM Rev. 41, 3-44.
23. Power, A. G., 1996. Competition between viruses in a complex plant-pathogen system. Ecology 77(4), 1004-1010.
24. Rochow, W. F., 1979. Field variants of barley yellow dwarf virus: detection and fluctuation during twenty years. Phytopathology 69(6), 655-660.
25. Sguanci, L., Bagnoli, F., Lio, P., 2007. Modeling HIV quasispecies evolutionary dynamics. BMC Evol. Biol. 7, S5. doi: 10. 1186/1471-2148-7-S2-S5.
26. van Opijnen, T., Jeeninga, R. E., Boerlijst, M. C., Pollakis, G. P., Zetterberg, V., Salminen, M., Berkhout, B., 2004. Human immunodeficiency virus type 1 subtypes have a distinct long terminal repeat that determines the replication rate in a host-cell-specific manner. J. Virol. 78(7), 3675-3683. doi: 10. 1128/JVI. 78. 7. 3675-3683. 2004.
27. Wodarz, D., 2007. Killer Cell Dynamics: Mathematical and Computational Approaches to Immunology. Springer, New York.
28. Wodarz, D., Levy, D. N., 2007. Human immunodeficiency virus evolution towards reduced replicative fitness in vivo and the development of AIDS. Proc. R. Soc. Lond. B 274, 2481-2490. doi: 10. 1098/rspb. 2007. 0413.
29. Zhang, X. S., Holt, J., 2001. Mathematical models of cross protection in the epidemiology of plant-virus diseases. Phytopathology 91(10), 924-934.