Critical Population and Error Threshold on the Sharp Peak Landscape for a Moran Model (Memoirs of the American Mathematical Society) - Softcover

Cerf, Raphael

 
9781470409678: Critical Population and Error Threshold on the Sharp Peak Landscape for a Moran Model (Memoirs of the American Mathematical Society)
Softcover
ISBN 10: 1470409674 ISBN 13: 9781470409678
Publisher: American Mathematical Society, 2015

Synopsis

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 ℓ over an alphabet of cardinality κ. The mutation probability per locus is q. He deals only with the sharp peak landscape: the replication rate is σ>1 for the master sequence and 1 for the other sequences. He studies the equilibrium distribution of the process in the regime where

ℓ→ ∞,m→ ∞,q→0,

ℓq→a∈]0, ∞[,mℓ→α∈[0, ∞].

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About the Author

Raphael Cerf, Universite Paris Sud, Orsay, France.

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Publisher
American Mathematical Society
Publication date
2015
Language
English
ISBN 10 
1470409674
ISBN 13 
9781470409678
Binding
Paperback
Number of pages
87