Critical Population and Error Threshold on the Sharp Peak Landscape for a Moran Model

ISBN-13: 9781470409678 / Angielski

Raphael Cerf

Opis

The goal of this work is to propose a finite population counterpart to Eigen's model, which incorporates stochastic effects. The author considers a Moran model describing the evolution of a population of size m of chromosomes of length over an alphabet of cardinality . The mutation probability per locus is q. He deals only with the sharp peak landscape: the replication rate is >1 for the master sequence and 1 for the other sequences. He studies the equilibrium distribution of the process in the regime where ,m ,q 0, q a ]0, [,m [0, ].

Spis treści

• Introduction
• The model
• Main results
• Coupling
• Normalized model
• Lumping
• Monotonicity
• Stochastic bounds
• Birth and death processes
• The neutral phase
• Synthesis
• Appendix on Markov chain
• Bibliography
• Index