| Issue |
Math. Model. Nat. Phenom.
Volume 10, Number 5, 2015
Dynamics of Chemical Reaction Networks
|
|
|---|---|---|
| Page(s) | 84 - 99 | |
| DOI | https://doi.org/10.1051/mmnp/201510506 | |
| Published online | 27 August 2015 | |
Genetic Recombination as a Chemical Reaction Network
1 Johann Radon Institute for
Computational and Applied Mathematics, Austrian Academy of Sciences,
Altenbergerstraße
69, 4040
Linz,
Austria
2 Department of Mathematics, University of Vienna,
Oskar-Morgenstern-Platz 1, 1090 Wien, Austria
⋆
Corresponding author. E-mail: stefan.mueller@ricam.oeaw.ac.at
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 (for all marginal frequencies and all recombination rate constants), from both the population genetics and the reaction networks point of view.
Mathematics Subject Classification: 34D23 / 37N25 / 92D10 / 92E20
Key words: population genetics / chromosomal crossover / detailed balance / Lyapunov function
© EDP Sciences, 2015
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