Abstract
The role of mutational bias in evolution on a smooth landscape is investigated. We consider both a finite-length genome where the bias increases linearly with the fitness, and an infinite genome with a fixed bias. We present simulations of finite populations in a waiting time model, showing both the nonequilibrium dynamics and the equilibrium fitness distributions that are reached. We compute the equilibrium analytically in several cases, using approximate direct solution of the master equations and truncated hierarchies.
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REFERENCES
I. S. Novella, E. A. Duarte, S. F. Elena, A. Moya, E. Domingo, and J. J. Holland, Proc. Natl. Acad. Sci. USA 92:5841 (1995) and references therein.
L. Tsimring, H. Levine, and D. A. Kessler, Phys. Rev. Lett. 76:4440 (1996).
D. Kessler, H. Levine, D. Ridgway, and L. Tsimring, J. Stat. Phy. 87:519 (1997).
M. Eigen, J. McCaskill, and P. Schuster, J. Phys. Chem. 92:6881 (1988); W. Fontana, W. Schnabl, and P. Schuster, Phys. Rev. A 40:3301 (1989).
H. J. Muller, Mut. Res. 1:2 (1964).
G. Woodcock and P. Higgs, J. Theor. Biol. 179:61 (1996).
See C. M. Bender and S. A. Orszag, Advanced Mathematical Methods for Scientists and Engineers, C. M. Bender and S. A. Orszag (Mcgraw-Hill, New York, 1978).
N. Goldenfeld, J. Physics A17:2801 (1984).
L. Peliti, J. de Physique 46:1469 (1985).
See, e.g., D. L. Hartl, A Primer of Population Genetics, 2nd ed. (Sinauer, Sunderland, MA, 1988).
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Ridgway, D., Levine, H. & Kessler, D.A. Evolution on a Smooth Landscape: The Role of Bias. Journal of Statistical Physics 90, 191–210 (1998). https://doi.org/10.1023/A:1023203818384
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DOI: https://doi.org/10.1023/A:1023203818384