2024/06/20 by Hermano Velten, Velten, Hermano, Carlos Felipe Saraiva Pinheiro +3
Biochemistry, Genetics and Molecular Biology · Economics, Econometrics and Finance · Social Sciences · #Complex Systems and Time Series Analysis #Evolution and Genetic Dynamics #Evolutionary Game Theory and Cooperation #FOS: Biological sciences #Populations and Evolution (q-bio.PE)
paper · pdf · doi:10.48550/arxiv.2406.14516
openalex publication_date 2024/06/20 · openalex created_date 2024/06/22 · openalex updated_date 2026/07/28
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.