A stochastic model for a single click of Muller's ratchet

Journal of Theoretical Biology

Volumn 264, Issue 4, 2010, Pages 1120-1132

  Waxman, D ^a   Loewe, L ^b  

^a UNIVERSITY OF SUSSEX   (United Kingdom)

^b UNIVERSITY OF EDINBURGH   (United Kingdom)

Author keywords

Asexual population; Muller's ratchet; Random genetic drift; Theoretical population genetics

Indexed keywords

EVOLUTIONARY BIOLOGY; GENETIC DRIFT; MUTATION; NUMERICAL MODEL; POPULATION GENETICS; STOCHASTICITY;

ACCURACY; ARTICLE; ASEXUAL REPRODUCTION; GENE LOCUS; GENE MUTATION; HAPLOIDY; HETEROZYGOTE; INTERMETHOD COMPARISON; MATHEMATICAL MODEL; MUTANT; PREDICTION; PRIORITY JOURNAL; STOCHASTIC MODEL;

ALLELES; COMPUTER SIMULATION; GENETICS, POPULATION; MODELS, GENETIC; MUTATION; SELECTION, GENETIC; STOCHASTIC PROCESSES;

EID: 77952956687     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2010.03.014     Document Type: Article

References (37)

1. Bachtrog D. The temporal dynamics of processes underlying Y chromosome degeneration. Genetics 2008, 179:1513-1525.
2. Bergstrom C.T., Pritchard J. Germline bottlenecks and the evolutionary maintenance of the mitochondrial genome. Genetics 1998, 149:2135-2146.
3. Bulmer M. Theoretical Evolutionary Ecology 1994, Sinauer Associates, Sunderland, Massachusetts.
4. Charlesworth B., Charlesworth D. Rapid fixation of deleterious alleles can be caused by Muller's ratchet. Genet. Res 1997, 70:63-73.
5. Darroch J.N., Seneta E. On quasi-stationary distributions in absorbing discrete-time finite Markov chains. J. Appl. Probab. 1965, 2:88-100.
6. Etheridge, A., Pfaffelhuber, P., Wakolbinger, A., 2008. How often does the ratchet click? Facts, heuristics, asymptotics. Trends in Stochastic Analysis. Part IV 13 Cambridge University Press, New York.
7. Ewens W.J. The adequacy of the diffusion approximation to certain distributions in genetics. Biometrics 1965, 21:386-394.
8. Felsenstein J. The evolutionary advantage of recombination. Genetics 1974, 78:737-756.
9. Fisher R.A. On the dominance ratio. Proc. R. Soc. Edinburgh 1922, 42:321-341.
10. Gessler D.D.G. The constraints of finite size in asexual populations and the rate of the ratchet. Genet. Res. 1995, 66:241-253.
11. Gordo I., Charlesworth B. The degeneration of asexual haploid populations and the speed of Muller's ratchet. Genetics 2000, 154:1379-1387.
12. Gordo I., Charlesworth B. On the speed of Muller's ratchet. Genetics 2000, 156:2137-2140.
13. Gordo I., Charlesworth B. The speed of Muller's ratchet with background selection, and the degeneration of Y chromosomes. Genet. Res 2001, 78:149-161.
14. Haigh J. The accumulation of deleterious genes in a population-Muller's ratchet. Theor. Popul. Biol. 1978, 14:251-267.
15. Heller R., Maynard Smith J. Does Muller's ratchet work with selfing?. Genet. Res. 1978, 32:289-293.
16. Kimura M. Diffusion models in population genetics. J. Appl. Probab. 1964, 1:177-232.
17. Loewe L. Global computing for bioinformatics. Briefings Bioinformatics 2002, 3:377-388.
18. Loewe L. Quantifying the genomic decay paradox due to Muller's ratchet in human mitochondrial DNA. Genet. Res. 2006, 87:133-159.
19. Loewe L. Evolution@home: observations on participant choice, work unit variation and low-effort global computing. Software Pract. Exper. 2007, 37:1289-1318.
20. Loewe L., Cutter A. On the potential for extinction by Muller's ratchet in Caenorhabditis elegans. BMC Evol. Biol. 2008, 8:125.
21. Loewe L., Lamatsch D.K. Quantifying the threat of extinction from Muller's ratchet in the diploid Amazon molly (Poecilia formosa). BMC Evol. Biol. 2008, 8:88.
22. Loewe L., Hill W.G. The population genetics of mutations: good, bad and indifferent. Philos. Trans. R. Soc. B 2010, 365:1153-1167.
23. Maynard Smith J. The Evolution of Sex 1978, Cambridge University Press, Cambridge.
24. Maynard Smith J. Evolutionary Genetics 1989, Oxford University Press, Oxford.
25. Muller H.J. The relation of recombination to mutational advance. Mutat. Res. 1964, 1:2-9.
26. McKane A.J., Waxman D. Singular solutions of the diffusion equation of population genetics. J. Theor. Biol. 2007, 247:849-858.
27. Moran, N.A., 1996. Accelerated evolution and Muller's ratchet in endosymbiont bacteria. Proc. Natl. Acad. Sci. 93, 2873-2878.
28. Nisbet R.M., Gurney W.S.C. Modelling Fluctuating Populations 1982, Wiley, New York.
29. Rice W.R. Degeneration of a nonrecombining chromosome. Science 1994, 263:230-232.
30. Rispe C., Moran N.A. Accumulation of deleterious mutations in endosymbionts: Muller's ratchet with two levels of selection. Am. Nat. 2000, 156:425-441.
31. Rouzine I.M., Brunet E., Wilke C.O. The traveling-wave approach to asexual evolution: Muller's ratchet and speed of adaptation. Theor. Popul. Biol. 2008, 73:24-46.
32. Söderberg R.J., Berg O.G. Mutational interference and the progression of Muller's ratchet when mutations have a broad range of effects. Genetics 2007, 177:971-986.
33. Stephan W., Chao L., Smale J.G. The advance of Muller's ratchet in a haploid asexual population: approximate solutions based on diffusion theory. Genet. Res. Cambridge 1993, 61:225-231.
34. Stephan W., Kim Y. Recent applications of diffusion theory to population genetics. Modern Developments in Theoretical Population Genetics 2002, 72-93. Oxford University Press, Oxford. M. Slatkin, M. Veuille (Eds.).
35. Strang G. Linear Algebra and its Applications 1988, Harcourt Brace, San Diego.
36. Wright S. Evolution in Mendelian populations. Genetics 1931, 16:97-159.
37. Waxman D. Fixation at a locus with multiple alleles: Structure and solution of the Wright Fisher model. J. Theor. Biol 2009, 257:245-251.