Approximate perturbative solutions of quasispecies model with recombination

David B. Saakian, Jin Ming Koh, and Kang Hao Cheong
Phys. Rev. E 99, 062407 – Published 14 June 2019

Abstract

Despite the major roles played by genetic recombination in ecoevolutionary processes, limited progress has been made in analyzing realistic recombination models to date, due largely to the complexity of the associated mechanisms and the strongly nonlinear nature of the dynamical differential systems. In this paper, we consider a many-loci genomic model with fitness dependent on the Hamming distance from a reference genome, and adopt a Hamilton-Jacobi formulation to derive perturbative solutions for general linear fitness landscapes. The horizontal gene transfer model is used to describe recombination processes. Cases of weak selection and weak recombination with simultaneous mutation and selection are examined, yielding semianalytical solutions for the distribution surplus of O(1/N) accuracy, where N is the number of nucleotides in the genome.

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  • Received 9 October 2018

DOI:https://doi.org/10.1103/PhysRevE.99.062407

©2019 American Physical Society

Physics Subject Headings (PhySH)

Physics of Living SystemsInterdisciplinary PhysicsNonlinear Dynamics

Authors & Affiliations

David B. Saakian1,2,*, Jin Ming Koh3, and Kang Hao Cheong3,†

  • 1Laboratory of Applied Physics, Advanced Institute of Materials Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam
  • 2Faculty of Applied Sciences, Ton Duc Thang University, Ho Chi Minh City, Vietnam
  • 3Science and Math Cluster, Singapore University of Technology and Design, 8 Somapah Road, Singapore 487372, Singapore

  • *david.saakian@tdtu.edu.vn
  • Corresponding author: kanghao_cheong@sutd.edu.sg

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Issue

Vol. 99, Iss. 6 — June 2019

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