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Autocatalytic recombination systems: A reaction network perspective
Gheorghe Craciun1, Abhishek Deshpande2, Badal Joshi3
1Department of Mathematics and Department of Biomolecular Chemistry, University of Wisconsin-Madison, United States of America.
Abstract:
Autocatalytic systems called hypercycles are very often incorporated in "origin of life" models. We investigate the dynamics of certain related models called bimolecular autocatalytic systems. In particular, we consider the dynamics corresponding to the relative populations in these networks, and show that it can be analyzed using well-chosen autonomous polynomial dynamical systems. Moreover, we use results from reaction network theory to prove persistence and permanence of several families of bimolecular autocatalytic systems called autocatalytic recombination systems.
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