Extended error threshold mechanism in {\it quasispecies} theory via population dynamics
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.
Keywords
Cite
@article{arxiv.2406.14516,
title = {Extended error threshold mechanism in {\it quasispecies} theory via population dynamics},
author = {Hermano Velten and Carlos Felipe Pinheiro and Alcides Castro e Silva},
journal= {arXiv preprint arXiv:2406.14516},
year = {2024}
}
Comments
5 pages, 1 figure