Phase diagram for the Eigen quasispecies theory with a truncated fitness landscape
Open accessAbstract
Using methods of statistical physics, we present rigorous theoretical calculations of Eigen's quasispecies theory with the truncated fitness landscape which dramatically limits the available sequence space of information carriers. As the mutation rate is increased from small values to large values, one can observe three phases: the first (I) selective (also known as ferromagnetic) phase, the second (II) intermediate phase with some residual order, and the third (III) completely randomized (also known as paramagnetic) phase. We calculate the phase diagram for these phases and the concentration of information carriers in the master sequence (also known as peak configuration) x0 and other classes of information carriers. As the phase point moves across the boundary between phase I and phase II, x0 changes continuously; as the phase point moves across the boundary between phase II and phase III, x0 has a large change. Our results are applicable for the general case of a fitness landscape.
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In [12], the truncated fitness landscape was solved analytically for large [parameter] and numerically for finite [parameter].
“In [12], we solve analytically the truncated fitness landscape for the case of large , and perform numerics for the finite case.”
From Lethal mutants and truncated selection together solve a paradox of the origin of life (2011) · cites this paper as [12]
For large [parameter], the error threshold transition is fractured into two separate transitions.
“For the large , we find in [12] that the error threshold transition is fractured into two separate transitions.”
From Lethal mutants and truncated selection together solve a paradox of the origin of life (2011) · cites this paper as [12]
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- Authors
- Saakian, D. B., Biebricher, C. K., & Hu, C.-K.
- Affiliations
- A. Alikhanyan National Laboratory (AM)
- Chung Yuan Christian University (TW)
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 2009-04-06
- Volume
- 79
- Issue
- 4
- Pages
- 041905-041905
- ISSN
- 1539-3755 (ISSN-L)
- 1550-2376
- OpenAlex
- W1743635000
- Cited by
- 28
- References
- 36
- Citations by year
- 2025: 3 · 2024: 1 · 2023: 1 · 2022: 1 · 2021: 1 · 2019: 1 · 2017: 3 · 2015: 3 · 2013: 2 · 2012: 5
- FWCI
- 2.32
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review E (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Max Planck Institute for Plasma Physics (submittedVersion)
- MPG.PuRe (Max Planck Society) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Volkswagen Foundation
- National Science Council
- Academia Sinica
- Defense Advanced Research Projects Agency
- Topics
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Genetics › Evolution and Genetic Dynamics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Origins and Evolution of Life
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Theoretical and Computational Physics
- Keywords
- phase diagram, mutation rate, sequence spaces, ferromagnetic phase, paramagnetic phase, intermediate phase, order-disorder transition, information carriers
- MeSH terms
- Algorithms, Biological Evolution, Models, Genetic, Mutation
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