# Genetic recombination as a Generalised Gradient Flow.

@article{Alberti2020GeneticRA, title={Genetic recombination as a Generalised Gradient Flow.}, author={F. Alberti}, journal={arXiv: Dynamical Systems}, year={2020} }

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.

#### References

SHOWING 1-10 OF 19 REFERENCES

The general recombination equation in continuous time and its solution

- Mathematics, Biology
- 2015

An Exactly Solved Model for Mutation, Recombination and Selection

- Mathematics
- Canadian Journal of Mathematics
- 2003

Haldane linearisation done right: Solving the nonlinear recombination equation the easy way

- Mathematics, Biology
- 2016

Conservation-dissipation structure of chemical reaction systems.

- Materials Science, Medicine
- Physical review. E, Statistical, nonlinear, and soft matter physics
- 2012

A gradient structure for reaction-diffusion systems and for energy-drift-diffusion systems

- Chemistry, Mathematics
- 2011

Multilocus selection in subdivided populations I. Convergence properties for weak or strong migration

- Biology, Medicine
- Journal of mathematical biology
- 2009

Multilocus selection in subdivided populations II. Maintenance of polymorphism under weak or strong migration

- Biology, Medicine
- Journal of mathematical biology
- 2009