Geodesic
Genetic Recombination as a Chemical Reaction Network
S. Müller1 ; J. Hofbauer2
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
Mathematical modelling of natural phenomena, Tome 10 (2015) no. 5, pp. 84-99.

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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.
DOI : 10.1051/mmnp/201510506

S. Müller 1 ; J. Hofbauer 2

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 
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S. Müller; J. Hofbauer. Genetic Recombination as a Chemical Reaction Network. Mathematical modelling of natural phenomena, Tome 10 (2015) no. 5, pp. 84-99. doi : 10.1051/mmnp/201510506. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/201510506/

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