Extended error threshold mechanism in {\it quasispecies} theory via population dynamics
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909228269043712 |
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| author | Velten, Hermano Pinheiro, Carlos Felipe Silva, Alcides Castro e |
| author_facet | Velten, Hermano Pinheiro, Carlos Felipe Silva, Alcides Castro e |
| contents | We investigate Eigen's model for the evolution of the genetic code of microorganisms using a novel method based on population dynamics analysis. This model, for a given number of offspring, determines long-term survival as a function of the "genetic" information length and copy error probability. There exists a maximum threshold for the quantity of information that can be consistently preserved through the process of evolution within a population of perfectly replicating sequences, meaning no errors are allowed. With our formula, we expand upon the traditional error threshold formula of Eigen's theory and introduce a new expression for general cases where the self-reproduction process allows up to any integer number of copying errors per digit per replication step. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_14516 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Extended error threshold mechanism in {\it quasispecies} theory via population dynamics Velten, Hermano Pinheiro, Carlos Felipe Silva, Alcides Castro e Populations and Evolution We investigate Eigen's model for the evolution of the genetic code of microorganisms using a novel method based on population dynamics analysis. This model, for a given number of offspring, determines long-term survival as a function of the "genetic" information length and copy error probability. There exists a maximum threshold for the quantity of information that can be consistently preserved through the process of evolution within a population of perfectly replicating sequences, meaning no errors are allowed. With our formula, we expand upon the traditional error threshold formula of Eigen's theory and introduce a new expression for general cases where the self-reproduction process allows up to any integer number of copying errors per digit per replication step. |
| title | Extended error threshold mechanism in {\it quasispecies} theory via population dynamics |
| topic | Populations and Evolution |
| url | https://arxiv.org/abs/2406.14516 |