English

Genetic recombination as a Generalised Gradient Flow

Dynamical Systems 2023-04-26 v1 Molecular Networks

Abstract

It is well known that the classical recombination equation for two parent individuals is equivalent to the law of mass action of a strongly reversible chemical reaction network, and can thus be reformulated as a generalised gradient system. Here, this is generalised to the case of an arbitrary number of parents. Furthermore, the gradient structure of the backward-time partitioning process is investigated.

Keywords

Cite

@article{arxiv.2009.09688,
  title  = {Genetic recombination as a Generalised Gradient Flow},
  author = {Frederic Alberti},
  journal= {arXiv preprint arXiv:2009.09688},
  year   = {2023}
}
R2 v1 2026-06-23T18:40:55.441Z