Please use this identifier to cite or link to this item: http://lib.jncasr.ac.in:8080/jspui/handle/10572/2237
Title: Deterministic evolution of an asexual population under the action of beneficial and deleterious mutations on additive fitness landscapes
Authors: Jain, Kavita
John, Sona
Keywords: Environmental Sciences & Ecology
Evolutionary Biology
Genetics & Heredity
Mutation-selection balance
Exact results
Beneficial mutations
Selection Balance
Mullers Ratchet
Adaptation
Dynamics
Usage
Model
Load
Issue Date: 2016
Publisher: Academic Press Inc Elsevier Science
Citation: Jain, 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 http://dx.doi.org/10.1016/j.tpb.2016.08.009
theoretical Population Biology
112
Abstract: We 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.
Description: Restricted Access
URI: http://hdl.handle.net/10572/2237
ISSN: 0040-5809
Appears in Collections:Research Articles (Kavita Jain)

Files in This Item:
File Description SizeFormat 
102.pdf
  Restricted Access
622.54 kBAdobe PDFView/Open Request a copy


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.