Noise driven evolutionary waves

PLoS Computational Biology

Volumn 7, Issue 3, 2011, Pages

  Hallatschek, Oskar ^a  

^a MAX PLANCK INSTITUTE FOR DYNAMICS AND SELF ORGANIZATION   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BIOLOGICAL SYSTEMS; ECONOMIC AND SOCIAL EFFECTS;

KOLMOGOROV; KOLMOGOROV MODEL; NATURAL SELECTION; POPULATION DENSITIES; POPULATION SIZES; RANDOM GENETIC DRIFT; THE STANDARD MODEL; TRADE OFF; TRAVELLING WAVES; WAVESPEED;

POPULATION STATISTICS;

ARTICLE; COMPUTER MODEL; CONTROLLED STUDY; EVOLUTIONARY ADAPTATION; FISHER EXACT TEST; GENETIC DRIFT; GROWTH RATE; KOLMOGOROV SMIRNOV TEST; MUTATIONAL ANALYSIS; NOISE; PARTICLE SIZE; POPULATION DENSITY; POPULATION SIZE; PREDICTION; SIMULATION; VELOCITY; COMPUTER SIMULATION; GENETIC SELECTION; MOLECULAR EVOLUTION; MUTATION; POPULATION GENETICS;

COMPUTER SIMULATION; EVOLUTION, MOLECULAR; GENETIC DRIFT; GENETICS, POPULATION; MUTATION; SELECTION, GENETIC;

EID: 79953664432     PISSN: 1553734X     EISSN: 15537358     Source Type: Journal    
DOI: 10.1371/journal.pcbi.1002005     Document Type: Article

References (41)

1. Nei M, (2005) Selectionism and neutralism in molecular evolution. Mol Biol Evol 22: 2318-42.
2. Lynch M, (2007) The frailty of adaptive hypotheses for the origins of organismal complexity. Proc Natl Acad Sci Usa 104 (Suppl 1): 8597-604.
3. Wagner A, (2008) Neutralism and selectionism: a network-based reconciliation. Nat Rev Genet 9: 965-74.
4. Hartl DL, Clark AG, (1997) Principles of population genetics. Sinauer Associates Sunderland, Mass.
5. Kimura M, Weiss GH, (1964) Stepping stone model of population structure and decrease of genetic correlation with distance. Genetics 49: 561.
6. Novembre J, Galvani AP, Slatkin M, (2005) The geographic spread of the ccr5 delta32 hiv-resistance allele. PLoS Biol 3: e339.
7. Fisher R, (1937) The wave of advance of advantageous genes. Ann Eugenics 7: 353-369.
8. Kolmogorov A, Petrovsky I, Piskunov N, (1937) Study of the diffusion equation with growth of the quantity of matter and its application to a biological problem. Bull Univ Moscow, Ser Int, Sec A 1: 1-25.
9. Xin J, (2000) Front propagation in heterogeneous media. SIAM Review 42: 161-230.
10. Matsushita M, Wakita J, Itoh H, Watanabe K, Arai T, et al. (1999) Formation of colony patterns by a bacterial cell population. Physica A 274: 190-199.
11. Grenfell B, Bjornstad O, Kappey J, (2001) Travelling waves and spatial hierarchies in measles epidemics. Nature 414: 716-723.
12. Brockmann D, Hufnagel L, Geisel T, (2006) The scaling laws of human travel. Nature 439: 462-465.
13. Douglas JF, Efimenko K, Fischer DA, Phelan FR, Genzer J, (2007) Propagating waves of self-assembly in organosilane monolayers. Proc Natl Acad Sci USA 104: 10324-9.
14. Murray JD, (2004) Mathematical Biology I. New York Springer.
15. Marquet C, Peschanski R, Soyez G, (2006) Consequences of strong fluctuations on high-energy QCD evolution. Phys Rev D 73: 114005.
16. Mollison D, (1977) Spatial contact models for ecological and epidemic spread. J Roy Stat Soc 39: 283-326.
17. van Saarloos W, (2003) Front propagation into unstable states. Phys Rep 386: 29-222.
18. Tsimring L, Levine H, Kessler D, (1996) Rna virus evolution via a fitness-space model. Phys Rev Lett 76: 4440-4443.
19. Brunet E, Derrida B, (1997) Shift in the velocity of a front due to a cutoff. Phys Rev E 56: 2597-2604.
20. Hallatschek O, (2011) The noisy edge of traveling waves. Proc Natl Acad Sci USA doi:10.1073/pnas.1013529108.
21. Pfeiffer T, Schuster S, Bonhoeffer S, (2001) Cooperation and competition in the evolution of atp-producing pathways. Science 292: 504-507.
22. Kreft JU, (2004) Biofilms promote altruism. Microbiol 150: 2751-60.
23. MacLean R, (2008) The tragedy of the commons in microbial populations: insights from theoretical, comparative and experimental studies. Heredity 100: 471-477.
24. MacLean RC, Gudelj I, (2006) Resource competition and social conflict in experimental populations of yeast. Nature 441: 498-501.
25. Merico A, Sulo P, Piškur J, Compagno C, (2007) Fermentative lifestyle in yeasts belonging to the Saccharomyces complex. Febs Jl 274: 976-989.
26. Hopf E, (1950) The partial differential equation ut+uux = μuxx. Commun Pur Appl Math 3: 201-230.
27. Cole JD, (1951) On a quasi-linear parabolic equation occuring in aerodynamics. Q Appl Math 9: 225-236.
28. Doering CR, Mueller C, Smereka P, (2003) Interacting particles, the stochastic Fisher-Kolmogorov-Petrovsky-Piscounov equation, and duality. Physica A 325: 243-259.
29. Hallatschek O, Korolev KS, (2009) Fisher waves in the strong noise limit. Phys Rev Lett 103: 108103.
30. Hofbauer J, Sigmund K, (1998) Evolutionary Games and Population Dynamics. Cambridge, UK Cambridge University Press.
31. Hardin G, (1968) The tragedy of the commons. Science 162: 1243-8.
32. Wakano JY, (2007) Evolution of cooperation in spatial public goods games with common resource dynamics. J Theor Biol 247: 616-622.
33. Wakano JY, (2006) A mathematical analysis on public goods games in the continuous space. Math Biosci 201: 72-89.
34. Hou X, Feng W, Lu X, (2009) A mathematical analysis for a model arising from public goods games. Nonlin Anal 10: 2207-2224.
35. Hamilton WD, (1964) The genetic evolution of social behavior. J Theo Biol 7: 1-52.
36. Barton N, Clark A, (1990) Population structure and processes in evolution. Population biology: ecological and evolutionary viewpoints. Berlin Springer pp. 115-173.
37. Wright S, (1931) Evolution in mendelian populations. Genetics 16: 97-159.
38. Wakano JY, Nowak MA, Hauert C, (2009) Spatial dynamics of ecological public goods. Proc Natl Acad Sci USA 106: 7910-4.
39. Barton NH, Depaulis F, Etheridge AM, (2002) Neutral evolution in spatially continuous populations. J Theo Popul Biol 61: 31-48.
40. Korolev K, Avlund M, Hallatschek O, Nelson D, (2010) Genetic demixing and evolution in linear stepping stone models. Rev Mod Phys 82: 1691-1718.
41. van Kampen NG, (2001) Stochastic processes in physics and chemistry. Amsterdam Elsevier Science.