Evolution models with lethal mutations on symmetric or random fitness landscapes.
Abstract
We calculate the mean fitness for evolution models, when the fitness is a function of the Hamming distance from a reference sequence, and there is a probability that this fitness is nullified (Eigen model case) or tends to the negative infinity (Crow-Kimura model case). We calculate the mean fitness of these models. The mean fitness is calculated also for the random fitnesses with logarithmic-normal distribution, reasonably describing sometimes the situation with RNA viruses.
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In [9], the exact mean fitness was calculated for the model with a general symmetric fitness landscape and lethal mutations, including the single peak landscape as a special case.
“In [9], we calculated the exact mean fitness for the model with a general symmetric fitness landscape and lethal mutations, including the case of the single peak landscape as a special case.”
From Lethal mutants and truncated selection together solve a paradox of the origin of life (2011) · cites this paper as [9]
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Lethal mutants and truncated selection together solve a paradox of the origin of life
Saakian, D. B., Biebricher, C. K., & Hu, C.-K. (2011) · PLoS ONE · doi:10.1371/journal.pone.0021904 · Cited by 27 · see citing works
Self-citation
- Authors
- Kirakosyan, Z., Saakian, D. B., & Hu, C.-K.
- Affiliations
- A. Alikhanyan National Laboratory (AM)
- Chung Yuan Christian University (TW)
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 2010-07-07
- Volume
- 82
- Issue
- 1
- Pages
- 011904-011904
- ISSN
- 1539-3755 (ISSN-L)
- 1550-2376
- OpenAlex
- W2014468401
- Cited by
- 15
- References
- 38
- Citations by year
- 2018: 4 · 2017: 2 · 2016: 1 · 2015: 2 · 2014: 1 · 2012: 4
- FWCI
- 0.90
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review E (publishedVersion)
- PubMed (publishedVersion)
- Funders
- National Center for Theoretical Sciences
- 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
- mean fitness, lethal mutations, fitness landscape, Hamming distance, Eigen model, logarithmic normal distribution, RNA viruses, evolutionary models, reference sequences
- MeSH terms
- Animals, Biological Evolution, Genetics, Population, Humans, Models, Genetic, Mutation, Models, Statistical, Survival Rate, Survival Analysis
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