Abstract
Common to all life on Earth are the mechanisms of genetic encoding, in which specific trinucleotide sequences in DNA and RNA map to specific amino acids in synthesized proteins. This paper investigates a novel gene-replicase-translatase (GRT) system to determine whether emergence of genetic encoding from an initially random population of genes and proteins is feasible. The model incorporates gene replication with mutation, error-prone protein translation, and an arbitrary encoding from codons to amino acids.
Simulations on the order of $10^9$ event steps demonstrate self-organization to evolutionary stability with distinct phase transitions. The ranges of parameters that lead to equilibrium states are consistent with the notion of error threshold as a determinant of stability in error-prone autocatalytic systems.
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