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dc.contributor.authorJain, Kavita
dc.contributor.authorJohn, Sona
dc.identifier.citationJain, K.; John, S., Deterministic evolution of an asexual population under the action of beneficial and deleterious mutations on additive fitness landscapes. Theoretical Population Biology 2016, 112, 117-125
dc.identifier.citationtheoretical Population Biologyen_US
dc.descriptionRestricted Accessen_US
dc.description.abstractWe study a continuous time model for the frequency distribution of an infinitely large asexual population in which both beneficial and deleterious mutations occur and fitness is additive. When beneficial mutations are ignored, the exact solution for the frequency distribution is known to be a Poisson distribution. Here we include beneficial mutations and obtain exact expressions for the frequency distribution at all times using an eigenfunction expansion method. We find that the stationary distribution is non-Poissonian and related to the Bessel function of the first kind. We also provide suitable approximations for the stationary distribution and the time to relax to the steady state. Our exact results, especially at mutation-selection equilibrium, can be useful in developing semi-deterministic approaches to understand stochastic evolution. (C) 2016 Elsevier Inc. All rights reserved.en_US
dc.publisherAcademic Press Inc Elsevier Scienceen_US
dc.rights@Academic Press Inc Elsevier Science, 2016en_US
dc.subjectEnvironmental Sciences & Ecologyen_US
dc.subjectEvolutionary Biologyen_US
dc.subjectGenetics & Heredityen_US
dc.subjectMutation-selection balanceen_US
dc.subjectExact resultsen_US
dc.subjectBeneficial mutationsen_US
dc.subjectSelection Balanceen_US
dc.subjectMullers Ratcheten_US
dc.titleDeterministic evolution of an asexual population under the action of beneficial and deleterious mutations on additive fitness landscapesen_US
Appears in Collections:Research Articles (Kavita Jain)

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