Deriving the threshold for the minimum sequence identity required to maintain replication function
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| Format: | Recurso digital |
| Langue: | anglais |
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Zenodo
2026
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| _version_ | 1866901748201816064 |
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| author | miyamoto, ikutoshi |
| author_facet | miyamoto, ikutoshi |
| contents | <p>Let p denote the per-base mutation probability during genome replication, and let n denote the genome length. In a primitive genome model possessing only self-replication ca-pability, we derive the critical sequence identity Q required to maintain replication function as follows. Using the Poisson approximation to the binomial mutation count, we obtain <br>Q = max{q ∈ {0, 1/n , 2/n , ..., 1} | Γ (1 + n − ⌊n q⌋, n p) /Γ (1 + n − ⌊n q⌋) = 1/2}, where<br>⌊x⌋ denotes the floor function.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18218399 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Deriving the threshold for the minimum sequence identity required to maintain replication function miyamoto, ikutoshi Minimum sequence identity Error threshold Poisson approximation Genome replication Mathematical biology Self-replication Primitive genome 1.06 Biological sciences 1.01 Mathematics Bioinformatics <p>Let p denote the per-base mutation probability during genome replication, and let n denote the genome length. In a primitive genome model possessing only self-replication ca-pability, we derive the critical sequence identity Q required to maintain replication function as follows. Using the Poisson approximation to the binomial mutation count, we obtain <br>Q = max{q ∈ {0, 1/n , 2/n , ..., 1} | Γ (1 + n − ⌊n q⌋, n p) /Γ (1 + n − ⌊n q⌋) = 1/2}, where<br>⌊x⌋ denotes the floor function.</p> |
| title | Deriving the threshold for the minimum sequence identity required to maintain replication function |
| topic | Minimum sequence identity Error threshold Poisson approximation Genome replication Mathematical biology Self-replication Primitive genome 1.06 Biological sciences 1.01 Mathematics Bioinformatics |
| url | https://doi.org/10.5281/zenodo.18218399 |