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arXiv · 2406.14516

Extended error threshold mechanism in {\it quasispecies} theory via population dynamics

Hermano Velten·Carlos Felipe Pinheiro·Alcides Castro e Silva
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Abstract

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.

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Hermano Velten, Carlos Felipe Pinheiro, Alcides Castro e Silva. 2024-06-20. Extended error threshold mechanism in {\it quasispecies} theory via population dynamics. https://arxiv.org/abs/2406.14516

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