Bridging scales in the evolution of infectious disease life histories: Theory

Evolution

Volumn 65, Issue 12, 2011, Pages 3448-3461

  Day, Troy ^a   Alizon, Samuel ^b   Mideo, Nicole ^c  

^a QUEEN S UNIVERSITY   (Canada)

^b University de Montpellier   (France)

^c UNIVERSITY OF EDINBURGH   (United Kingdom)

Author keywords

Nested models; Pathogen; Pathogenesis; Transmission virulence tradeoff; Virulence

Indexed keywords

DISEASE TRANSMISSION; EMPIRICAL ANALYSIS; EVOLUTIONARY BIOLOGY; INFECTIOUS DISEASE; LIFE HISTORY THEORY; PATHOGENICITY; THEORETICAL STUDY; TRADE-OFF; VIRULENCE;

ANIMAL; ARTICLE; BIOLOGICAL MODEL; COMMUNICABLE DISEASE; DISEASE TRANSMISSION; EPIDEMIC; EVOLUTION; GENETICS; POPULATION DYNAMICS; THEORETICAL MODEL; TIME; VIRULENCE;

ANIMALS; BIOLOGICAL EVOLUTION; COMMUNICABLE DISEASES; EPIDEMICS; MODELS, GENETIC; MODELS, THEORETICAL; POPULATION DYNAMICS; TIME FACTORS; VIRULENCE;

EID: 82755182876     PISSN: 00143820     EISSN: 15585646     Source Type: Journal    
DOI: 10.1111/j.1558-5646.2011.01394.x     Document Type: Article

References (45)

1. Alizon, S., and M. van Baalen 2005. Emergence of a convex trade off between transmission and virulence. Am. Nat. 165:E155-E167.
2. Alizon, S., and M. van Baalen 2008. Multiple infections, immune dynamics and virulence evolution. Am. Nat. 172:E150-E158.
3. Alizon, S., A. Hurford, N. Mideo, and M. van Baalen 2009. Virulence evolution and the trade off hypothesis: history, current state of affairs and the future. J. Evol. Biol. 22:245-259.
4. Anderson, R. M., and R. M. May 1982. Coevolution of hosts and parasites. Parasitology 85:411-426.
5. André, J.-B., J.-B. Ferdy, and B. Godelle 2003. Within-host parasite dynamics, emerging trade off, and evolution of virulence with immune system. Evolution 57:1489-1497.
6. André, J.-B., and S. Gandon 2006. Vaccination, within-host dynamics, and virulence evolution. Evolution 60:13-23.
7. Beder, J. H., and R. Gomulkiewicz 1998. Computing the selection gradient and evolutionary response of an infinite-dimensional trait. J. Math. Biol. 36:299-319.
8. Coombs, D., M. A. Gilchrist, and C. L. Ball 2007. Evaluating the importance of within-and between-host selection pressures on the evolution of chronic pathogens. Theor. Popul. Biol. 72:576-591.
9. Day, T. 2001. Parasite transmission modes and the evolution of virulence. Evolution 55:2389-2400.
10. Day, T.. 2002a. The evolution of virulence in vector-borne and directly transmitted parasites. Theor. Popul. Biol. 62:199-213.
11. Day, T.. 2002b. On the evolution of virulence and the relationship between various measures of mortality. Proc. R. Soc. Lond. B 269:1317-1323.
12. Day, T.. 2003. Virulence evolution and the timing of disease life-history events. Trends Ecol. Evol. 18:113-118.
13. Day, T., and S. Gandon 2006. Insights from Price's equation into evolutionary epidemiology. Pp. 23-44 in Z. Feng, U. Dieckmann, and S. A. Levin, eds. Disease evolution: models, concepts, and data analyses. Vol. 71 of DIMACS Series in Discrete Mathematics and Theoretical Computer Science. American Mathematical Society.
14. Day, T., and S. Gandon 2007. Applying population-genetic models in theoretical evolutionary epidemiology. Ecol. Lett. 10:876-888.
15. Day, T., and S. R. Proulx 2004. A general theory for the evolutionary dynamics of virulence. Am. Nat. 163:E40-E63.
16. de Roode, J. C., A. J. Yates, and S. Altizer 2008. Virulence-transmission trade offs and population divergence in virulence in a naturally occurring butterfly parasite. Proc. Natl. Acad. Sci. USA 105:7489-7494.
17. Dieckmann, U., M. Heino, and K. Parvinen 2006. The adaptive dynamics of function-valued traits. J. Theor. Biol. 241:370-389.
18. Ewald, P. W. 1983. Host-parasite relations, vectors, and the evolution of disease severity. Annu. Rev. Ecol. Evol. Syst. 14:465-485.
19. Frank, S. A. 1996. Models of parasite virulence. Q. Rev. Biol. 71:37-78.
20. Fraser, C., T. D. Hollingsworth, R. Chapman, F. de Wolf, and W. P. Hanage 2007. Variation in HIV-1 set-point viral load: epidemiological analysis and an evolutionary hypothesis. Proc. Natl. Acad. Sci. USA 104:17441-17446.
21. Ganusov, V. V., C. T. Bergstrom, and R. Antia 2002. Within-host population dynamics and the evolution of microparasites in a heterogeneous host population. Evolution 52:213-223.
22. Gilchrist, M. A., and D. Coombs 2006. Evolution of virulence: interdependence, constraints, and selection using nested models. Theor. Popul. Biol. 69:145-153.
23. Gilchrist, M. A., and A. Sasaki 2002. Modeling host-parasite coevolution: a nested approach based on mechanistic models. J. Theor. Biol. 218:289-308.
24. Gomulkiewicz, R., and J. H. Beder 1996. The selection gradient of an infinite-dimensional trait. SIAM J. Appl. Math. 56:509-523.
25. Gyllenberg, M., and I. Hanski 1992. Single-species metapopulation dynamics-a structured model. Theor. Popul. Biol. 42:35-61.
26. Hethcote, H. W. 2000. The mathematics of infectious diseases. SIAM Rev. 42:599-653.
27. Hoppensteadt, F. 1974. An age dependent epidemic model. J. Franklin Institute 297:325-333.
28. Hutson, V., J. S. Pym, and M. J. Cloud 2005. Applications of functional analysis and operator theory. Elsevier, Amsterdam
29. Kingsolver, J. G., R. Gomulkiewicz, and P. A. Carter 2001. Variation, selection and evolution of function-valued traits. Genetica 112:87-104.
30. Kirkpatrick, M., and N. Heckman 1989. A quantitative genetic model for growth, shape, reaction norms, and other infinite-dimensional characters. J. Math. Biol. 27:429-450.
31. Kirkpatrick, M., and D. Lofsvold 1989. The evolution of growth trajectories and other complex quantitative characters. Genome 31:778-783.
32. Kirkpatrick, M., and D. Lofsvold 1992. Measuring selection and constraint in the evolution of growth. Evolution 46:954-971.
33. Lande, R. 1982. A quantitative genetic theory of life history evolution. Ecology 63:607-615.
34. Levin, B. R., and J. J. Bull 1994. Short-sighted evolution and the virulence of pathogenic microorganisms. Trends Microbiol. 2:76-81.
35. Levin, S., and D. Pimentel 1981. Selection of intermediate rates of increase in parasite-host systems. Am. Nat. 117:308-315.
36. May, R. M., and M. A. Nowak 1995. Coinfection and the evolution of parasite virulence. Proc. R. Soc. Lond. B 261:209-215.
37. McKendrick, A. G. 1926. Applications of mathematics to medical problems. Proceedings of the Edinburgh Mathematical Society 44:98-130.
38. Metz, J., and O. Diekmann 1986. The dynamics of physiologically structured populations. Springer, Berlin
39. Mideo, N., S. Alizon, and T. Day 2008. Linking within- and between-host dynamics in the evolutionary epidemiology of infectious diseases. Trends Ecol. Evol. 23:511-517.
40. Mideo, N., W. A. Nelson, S. E. Reece, A. S. Bell, A. F. Read, and T. Day 2011. Bridging scales in the evolution of infectious diseases: application. In press
41. Nowak, M. A., and R. M. May 1994. Superinfection and the evolution of parasite virulence. Proc. R. Soc. Lond. B 255:81-89.
42. Parvinen, K., U. Dieckmann, and M. Heino 2006. Function-valued adaptive dynamics and the calculus of variations. J. Math. Biol. 52:1-26.
43. Price, G. R. 1970. Selection and covariance. Nature 227:520-521.
44. Sasaki, A., and Y. Iwasa 1991. Optimal growth schedule of pathogens within a host: switching between lytic and latent cycles. Theor. Popul. Biol. 39:201-239.
45. van Baalen, M., and M. W. Sabelis 1995. The dynamics of multiple infection and the evolution of virulence. Am. Nat. 146:881-910.