Influence of the hypercycle on the error threshold: A stochastic approach
Abstract
The role of fluctuations on the error threshold of the hypercycle has been studied by a stochastic approach on a very simplified model. For this model, the master equation was derived and its unique steady state calculated. This state implies the extinction of the system. But the actual time necessary to reach the steady state may be astronomically long whereas for times of experimental interest the system could be near some quasi-stationary states. In order to explore this possibility a Gillespie simulation of the stochastic process has been carried out. These quasi-stationary states correspond to the deterministic steady states of the system. The error threshold shifts towards higher values of the quality factor Q. Moreover, information about the fluctuations around the quasi-stationary states is obtained. The results are discussed in relation to the deterministic states.
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A replication fidelity lower than error threshold does not allow maintenance of a single long molecule, but shorter sequences organized into hypercycle can coexist with mutants.
“A replication fidelity lower than the error threshold does not allow for the maintenance of a single long molecule but shorter sequences organized into a hypercycle can coexist with their mutants.”
From Ecology and Evolution in the RNA World Dynamics and Stability of Prebiotic Replicator Systems (2017) · cites this paper as [64]
There is a range of copying fidelity which does not allow a single long molecule to coexist with mutants but same amount of information arranged in hypercycle can be maintained.
“Yet there is a range of copying fidelity which does not allow a single long molecule to coexist with its mutants but the same amount of information arranged in a hypercycle can be maintained.”
From Ecology and Evolution in the RNA World Dynamics and Stability of Prebiotic Replicator Systems (2017) · cites this paper as [64]
There is a lower critical copying fidelity below which even hypercyclic organization collapses because mutants overwhelm system.
“There is a lower critical copying fidelity below which even the hypercyclic organization collapses, because the mutants overwhelm the system.”
From Ecology and Evolution in the RNA World Dynamics and Stability of Prebiotic Replicator Systems (2017) · cites this paper as [64]
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- Authors
- García-Tejedor, A., Sanz-Nuño, J. C., Olarrea, J., de la Rubia, F. J., & Montero, F.
- Affiliations
- Universidad Complutense de Madrid (ES)
- Venue
- Journal of Theoretical Biology
- Publisher
- Elsevier BV
- Published
- 1988-10
- Volume
- 134
- Issue
- 4
- Pages
- 431-443
- ISSN
- 0022-5193 (ISSN-L)
- OpenAlex
- W2061386833
- Cited by
- 16
- References
- 17
- Citations by year
- 2021: 1 · 2018: 1 · 2017: 1 · 2016: 1
- FWCI
- 0.22
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of Theoretical Biology (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Genetics › Evolution and Genetic Dynamics
- Physical Sciences › Mathematics › Mathematical Physics › Stochastic processes and statistical mechanics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Advanced Thermodynamics and Statistical Mechanics
- Keywords
- hypercycles, error threshold, stochastic fluctuations, quasi-stationary states, master equation, Gillespie algorithm, quality factor, extinction, autocatalytic networks
- MeSH terms
- Animals, Biological Evolution, Models, Biological, Probability, Stochastic Processes
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