Autocatalytic recombination systems: A reaction network perspective

2022. 04. 12. 16:00
Google Meet
Gheorghe Craciun (University of Wisconsin-Madison)

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 the persistence and permanence of several families of bimolecular autocatalytic systems called autocatalytic recombination systems.