A Mutation-Selection Model with Recombination - AMS Memoirs

Explore advanced mathematical modeling in this specialized volume from the Memoirs of the American Mathematical Society. This work investigates a continuous time, probability measure-valued dynamical system designed to describe the process of mutation-selection balance. Researchers can examine a framework where the population is infinite and may contain infinitely many loci. The model is built upon earlier research by Steinsaltz, Evans, and Wachter from 2005, expanding the scope by incorporating very general recombination mechanisms. By taking the relative strength of mutation and selection to be sufficiently small, the authors present a detailed study of the resulting dynamical system as a flow. This text serves as a deep dive into complex biological mathematical processes, providing a rigorous foundation for those studying the dynamics of general genotypes in a mathematical context.