Molecular Evolution in Time-Dependent Environments

The quasispecies theory is studied for dynamic replication landscapes. A meaningful asymptotic quasispecies is defined for periodic time dependencies. The quasispecies' composition is constantly changing over the oscillation period. The error threshold moves towards the position of the time averaged landscape for high oscillation frequencies and follows the landscape closely for low oscillation frequencies.

[1]  V. A. I︠A︡kubovich,et al.  Linear differential equations with periodic coefficients , 1975 .

[2]  O. Perron Zur Theorie der Matrices , 1907 .

[3]  M. Eigen,et al.  The Hypercycle: A principle of natural self-organization , 2009 .

[4]  B. L. Jones Selection in systems of self-reproducing macromolecules under the constraint of controlled energy fluxes , 1979 .

[5]  B Charlesworth Directional selection and the evolution of sex and recombination. , 1993, Genetical research.

[6]  F. Young Biochemistry , 1955, The Indian Medical Gazette.

[7]  Claus O. Wilke,et al.  Evolutionary Dynamics in Time-dependent Environments , 1999 .

[8]  K Sigmund,et al.  Polynucleotide evolution and branching processes , 1985, Bulletin of mathematical biology.

[9]  T. Back,et al.  On the behavior of evolutionary algorithms in dynamic environments , 1998, 1998 IEEE International Conference on Evolutionary Computation Proceedings. IEEE World Congress on Computational Intelligence (Cat. No.98TH8360).

[10]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[11]  Y. Iwasa,et al.  Evolutionarily stable mutation rate in a periodically changing environment. , 1989, Genetics.

[12]  B. L. Jones,et al.  Some models for selection of biological macromolecules with time varying constraints , 1979 .

[13]  R. Lande,et al.  THE ROLE OF GENETIC VARIATION IN ADAPTATION AND POPULATION PERSISTENCE IN A CHANGING ENVIRONMENT , 1996, Evolution; international journal of organic evolution.

[14]  Manfred Eigen,et al.  Kinetics of ribonucleic acid replication. , 1983 .

[15]  Hussein Baher,et al.  Analog and Digital Signal Processing , 1990 .

[16]  M. Eigen,et al.  Molecular quasi-species. , 1988 .

[17]  C. Adami,et al.  Introduction To Artificial Life , 1997, IEEE Trans. Evol. Comput..

[18]  Inman Harvey,et al.  Fourth European Conference on Artificial Life , 1997 .

[19]  Y. Iwasa,et al.  Optimal recombination rate in fluctuating environments. , 1987, Genetics.

[20]  P. Schuster,et al.  Self-replication with errors. A model for polynucleotide replication. , 1982, Biophysical chemistry.

[21]  M. Eigen,et al.  Kinetics of RNA replication. , 1983, Biochemistry.

[22]  Colin J. Thompson,et al.  On Eigen's theory of the self-organization of matter and the evolution of biological macromolecules , 1974 .

[23]  Richard H. Enns,et al.  On the theory of selection of coupled macromolecular systems , 1976 .

[24]  B. Bainbridge,et al.  Genetics , 1981, Experientia.

[25]  B. M. Fulk MATH , 1992 .