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Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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Critical Sequence Identity: An analytical threshold using the incomplete gamma function

Authors: miyamoto, ikutoshi;

Critical Sequence Identity: An analytical threshold using the incomplete gamma function

Abstract

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 capability, 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 Q = max{q ∈ {0, 1/n , 2/n , ..., 1} | Γ (1 + n − ⌊nq⌋, np) /Γ (1 + n − ⌊nq⌋) = 1/2} where ⌊ x ⌋ denotes the floor function. Notably, in the regime where the expected number of mutations np is sufficiently large, this analytical threshold simplifies to Q ⋍ 1 - p, which aligns with the intuitive understanding that higher mutation rates necessitate stricter sequence identity.

Keywords

FOS: Computer and information sciences, Error threshold, Bioinformatics, Mathematical biology, Primitive genome, 1.01 Mathematics, Self-replication, Poisson approximation, Genome replication, 1.06 Biological sciences, Minimum sequence identity

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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Average
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