Recombination in one and two dimensional fitness landscapes.
Abstract
We consider many-site mutation-recombination models of molecular evolution, where fitness is a function of a Hamming distance from one (one-dimensional case) or two (two-dimensional case) sequences. For the one-dimensional case, we calculate the population distribution dynamics for a model with zero fitness and an arbitrary symmetric initial distribution and find an error threshold transition point in the single-peak fitness model for a given initial symmetric distribution. We calculate the recombination period in the case of a single-peak fitness function, when the original population is located at one sequence, at some Hamming distance from the peak configuration. Steady-state fitness is calculated with finite genome length corrections. We derive analytical equations for the two-dimensional mutation-recombination model.
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For the short genome, recombination slightly suppresses selection (mean fitness decreases) for the single peak fitness case.
“For the short genome the recombination even slightly suppresses the selection (the mean fitness decreases) for the single peak fitness case [50].”
From Lethal mutants and truncated selection together solve a paradox of the origin of life (2011) · cites this paper as [50]
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References 32 · Cited by 13
- Authors
- Avetisyan, Z., & Saakian, D. B.
- Affiliations
- Max Planck Institute for Mathematics in the Sciences (DE)
- A. Alikhanyan National Laboratory (AM)
- ORCID
- Saakian, David B.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 2010-05-17
- Volume
- 81
- Issue
- 5
- Pages
- 051916-051916
- ISSN
- 1539-3755 (ISSN-L)
- 1550-2376
- OpenAlex
- W1981348098
- Cited by
- 13
- References
- 32
- Citations by year
- 2026: 1 · 2024: 1 · 2019: 2 · 2018: 2 · 2015: 3 · 2013: 1 · 2012: 1
- FWCI
- 0.72
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review E (publishedVersion)
- PubMed (publishedVersion)
- Ghent University Academic Bibliography (Ghent University) (submittedVersion)
- Max Planck Institute for Plasma Physics (submittedVersion)
- Funders
- Volkswagen Foundation
- National Science Council
- Topics
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Genetics › Evolution and Genetic Dynamics
- Physical Sciences › Mathematics › Mathematical Physics › Stochastic processes and statistical mechanics
- Health Sciences › Medicine › Public Health, Environmental and Occupational Health › Mathematical and Theoretical Epidemiology and Ecology Models
- Keywords
- fitness landscape, Hamming distance, error threshold, molecular evolution
- MeSH terms
- Algorithms, Alleles, Animals, Biophysics, Epistasis, Genetic, Humans, Models, Genetic, Mutation, Probability, Recombination, Genetic, Models, Statistical, Genome, Evolution, Molecular
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