Genetic Recombination as a Chemical Reaction Network

TL;DR

This paper models genetic recombination as a chemical reaction network, analyzing its stability and equilibrium properties using mass-action kinetics from both population genetics and reaction network perspectives.

Contribution

It provides a comprehensive review of the existence, uniqueness, and stability of equilibria in genetic recombination modeled as a chemical reaction network.

Findings

Existence of equilibrium in all compatibility classes

Uniqueness of equilibrium for all rate constants

Global stability of equilibria

Abstract

The process of genetic recombination can be seen as a chemical reaction network with mass-action kinetics. We review the known results on existence, uniqueness, and global stability of an equilibrium in every compatibility class and for all rate constants, from both the population genetics and the reaction networks point of view.