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Title of Journal: Pramana J Phys

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Abbravation: Pramana

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Springer-Verlag

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0973-7111

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Adaptation dynamics of the quasispecies model

Authors: Kavita Jain
Publish Date: 2009/02/13
Volume: 71, Issue: 2, Pages: 275-282
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Abstract

We study the adaptation dynamics of an initially maladapted population evolving via the elementary processes of mutation and selection The evolution occurs on rugged fitness landscapes which are defined on the multidimensional genotypic space and have many local peaks separated by low fitness valleys We mainly focus on the Eigen’s model that describes the deterministic dynamics of an infinite number of selfreplicating molecules In the stationary state for small mutation rates such a population forms a quasispecies which consists of the fittest genotype and its closely related mutants The quasispecies dynamics on rugged fitness landscape follow a punctuated or steplike pattern in which a population jumps from a low fitness peak to a higher one stays there for a considerable time before shifting the peak again and eventually reaches the global maximum of the fitness landscape We calculate exactly several properties of this dynamical process within a simplified version of the quasispecies model

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