The information capacity of hypercycles
Open accessAbstract
Hypercycles are information integration systems which are thought to overcome the information crisis of prebiotic evolution by ensuring the coexistence of several short templates. For imperfect template replication, we derive a simple expression for the maximum number of distinct templates n(m) that can coexist in a hypercycle and show that it is a decreasing function of the length L of the templates. In the case of high replication accuracy we find that the product n(m)L tends to a constant value, limiting thus the information content of the hypercycle. Template coexistence is achieved either as a stationary equilibrium (stable fixed point) or a stable periodic orbit in which the total concentration of functional templates is nonzero. For the hypercycle system studied here we find numerical evidence that the existence of an unstable fixed point is a necessary condition for the presence of periodic orbits.
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If all Ai are same (A), then n < Q^2/(4A(1-Q)).
“They find that if all Ai are the same (A) then (9)n<Q24A(1−Q)”
From Ecology and Evolution in the RNA World Dynamics and Stability of Prebiotic Replicator Systems (2017) · cites this paper as [65]
Silvestre and Fontanari showed even long hypercycles with n=12 can be maintained, but copying fidelity puts an upper limit on number of sequences that can coexist.
“While they were able to show that even long hypercycles with n = 12 can be maintained, the copying fidelity puts an upper limit on the number of sequences (n) that can coexist.”
From Ecology and Evolution in the RNA World Dynamics and Stability of Prebiotic Replicator Systems (2017) · cites this paper as [65]
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- Authors
- Silvestre, D. A. M. M., & Fontanari, J. F.
- Affiliations
- Universidade de São Paulo (BR)
- ORCID
- Fontanari, José F.
- Venue
- Journal of Theoretical Biology
- Publisher
- Elsevier BV
- Published
- 2008-10
- Volume
- 254
- Issue
- 4
- Pages
- 804-806
- ISSN
- 0022-5193 (ISSN-L)
- OpenAlex
- W2963382137
- Cited by
- 19
- References
- 18
- Citations by year
- 2024: 2 · 2021: 1 · 2020: 2 · 2018: 3 · 2017: 2 · 2016: 1 · 2015: 2 · 2014: 1 · 2012: 1
- FWCI
- 0.78
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Journal of Theoretical Biology (publishedVersion)
- PubMed (publishedVersion)
- Scientific Electronic Library Online (São Paulo Research Foundation, Latin American and Caribbean Center on Health Sciences Information, Conselho Nacional de Desenvolvimento Científico e Tecnológico) (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Origins and Evolution of Life
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Genetics › Evolution and Genetic Dynamics
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › RNA and protein synthesis mechanisms
- Keywords
- hypercycles, information capacity, prebiotic evolution, replication accuracy, information crisis, periodic orbits, unstable fixed points, information integration
- MeSH terms
- Animals, DNA Replication, Models, Genetic, Mutation, RNA, Templates, Genetic, Models, Statistical
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