From quantum groups to genetic mutations

TL;DR

This paper introduces a mathematical model linking quantum group theory to genetic mutations, using crystal basis representations to predict mutation effects based on codon differences, showing promising agreement with experimental data.

Contribution

It applies quantum group theory to model genetic mutations, providing a novel framework for understanding mutation dynamics in the genetic code.

Findings

Mutation strength correlates with codon distance

Model predictions align with experimental mutation data

Provides a new mathematical approach to genetic mutation analysis

Abstract

In the framework of the crystal basis model of the genetic code, where each codon is assigned to an irreducible representation of $U_{q \to 0}(sl(2) \oplus sl(2))$, single base mutation matrices are introduced. The strength of the mutation is assumed to depend on the "distance" between the codons. Preliminary general predictions of the model are compared with experimental data, with a satisfactory agreement.