Kinetics of MULLER's ratchet from adaptive landscape viewpoint

2011 IEEE International Conference on Systems Biology, ISB 2011

Volumn , Issue , 2011, Pages 27-32

  Jiao, Shuyun ^a,b   Wang, Yanbo ^c   Yuan, Bo ^c   Ao, Ping ^a,c  

^a Chinese National Human Genome Center at Shanghai   (China)

^b XINYANG NORMAL UNIVERSITY   (China)

^c SHANGHAI JIAO TONG UNIVERSITY   (China)

Author keywords

adaptive landscape; mean first passage time; stationary distribution; Wright Fisher process

Indexed keywords

ABSORPTION PHENOMENA; ADAPTIVE LANDSCAPE; BIOLOGICAL PROCESS; DIFFUSION EQUATIONS; DIFFUSION MODEL; DYNAMICAL BEHAVIORS; EVOLUTIONARY PROCESS; INTUITIVE UNDERSTANDING; MEAN FIRST PASSAGE TIME; NOVEL METHODS; PROCESS MAPS; STATIONARY DISTRIBUTION; SYSTEM BIOLOGY; WRIGHT-FISHER PROCESS;

NORMAL DISTRIBUTION; PARTIAL DIFFERENTIAL EQUATIONS;

BIOLOGY;

EID: 80054873076     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ISB.2011.6033116     Document Type: Conference Paper

References (25)

1. J. Maynard Smith. The evolution of sex. Cambridge University Press, 1978.
2. A. Etheridge, P. Pfaffelhuber, and A. Wakolbinger. How often does the ratchet click? Facts, heuristics, asymptotics. Trends in stochastic analysis, pages 365-390, 2009.
3. K. P. Lampert and M. Schartl. A little bit is better than nothing: the incomplete parthenogenesis of salamanders, frogs and fish. BMC biology, 8(1):78, 2010.
4. L. P. Maia. Analytical results on Muller ratchet effect in growing populations. Physical Review E, 79(3):32903, 2009.
5. N. H. Barton. Mutation and the evolution of recombination. Philosophical Transactions of the Royal Society B: Biological Science, 365(1552):1281-1294, 2010.
6. D. Waxman and L. Loewe. A stochastic model for a single click of Muller's ratchet. Journal of theoretical biology, 264(4):1120-1132, 2010.
7. J. Felsenstein. The evolutionary advantage of recombination. Genetics, 78(2):737, 1974.
8. J. Haigh. The accumulation of deleterious genes in a population-muller's ratchet. Theoretical Population Biology, 14(2):251-267, 1978.
9. W. Stephan, L. Chao, and J. G. Smale. The advance of Muller's ratchet in a haploid asexual population: approximate solutions based on diffusion theory. Genetics Research, 61(03):225-231, 1993.
10. D. D. G. Gessler. The constraints of finite size in asexual populations and the rate of the ratchet. Genetics Research, 66(03):241-253, 1995.
11. H. P. de Vladar and N. H. Barton. The contribution of statistical physics to evolutionary biology. Trends in Ecology and Evolution, 26:424-432, 2011.
12. P. Ao. Laws in darwinian evolutionary theory. Physics of Life Review, 2:117-156, 2005.
13. P. Ao. Potential in stochatic differential equation: novel construction. Journal of physics A: mathematical and general, 37:25-30, 2004.
14. X. M. Zhu, L. Yin, L. Hood, and P. Ao. Robustness, stability and efficiency of phage lambda genetic switch: dynamical structure analysis. Journal of bioinformatics and computational biology, 2(4):785-817, 2004.
15. X. M. Zhu, L. Yin, L. Hood, and P. Ao. Calculating biological behaviors of epigenetic states in the phage lambda life cycle. Functional & integrative genomics, 4(3):188-195, 2004.
16. J. Liang and H. Qian. Computational cellular dynamics based on the chemical master equation: A challange for understanding complexity. Journal of Computer Science and Technology, 25:154-168, 2010.
17. H. J. Muller. Some genetic aspects of sex. American Naturalist, 66(703):118-138, 1932.
18. H. J. Muller. The relation of recombination to mutational advance. Mutation Research/Fundamental and Molecular Mechanisms of Mutagenesis, 1(1):2-9, 1964.
19. M. Kimura. Diffusion Models in Populayion Genetics. Journal of Applied Probability, 1:177-232, 1964.
20. W. J. Ewens. Mathematical population genetics. Cornell University, 2004.
21. J. H. Gillespie. Population Genetics: a concise guide. The Johns Hopkins University press, 1998.
22. P. Ao. Emerging of Stochastic Dynamical Equalities and Steady State Thermodynamics from Darwinian Dynamics. Communications in Theoretical Physics, 49(5):1073-1090, 2008.
23. van Kampen N. G. Stochatic processes in physics and chemistry. Amsterdam, 1992.
24. B. Øksendal. Stochatic differential equations: an introduction with applications. Springer, 2003.
25. H. Qian. Nonlinear stochastic dynamics of mesoscopic homogeneous biochemical reaction systemslan analytical theory. Nonlinearity, 24:19-49, 2011.