Autocatalytic recombination systems: A reaction network perspective

Gheorghe Craciun; Abhishek Deshpande; Badal Joshi; Polly Y Yu

doi:10.1016/j.mbs.2022.108784

Autocatalytic recombination systems: A reaction network perspective

Math Biosci. 2022 Mar:345:108784. doi: 10.1016/j.mbs.2022.108784. Epub 2022 Feb 4.

Authors

Gheorghe Craciun¹, Abhishek Deshpande², Badal Joshi³, Polly Y Yu⁴

Affiliations

¹ Department of Mathematics and Department of Biomolecular Chemistry, University of Wisconsin-Madison, United States of America. Electronic address: craciun@math.wisc.edu.
² Department of Mathematics, University of Wisconsin-Madison, United States of America. Electronic address: deshpande8@wisc.edu.
³ Department of Mathematics, California State University San Marcos, United States of America. Electronic address: bjoshi@csusm.edu.
⁴ Department of Mathematics, University of Wisconsin-Madison, United States of America. Electronic address: pollyyu@math.wisc.edu.

PMID: 35131315
DOI: 10.1016/j.mbs.2022.108784

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.

Keywords: Autocatalytic recombination networks; Origin of life; Permanence; Persistence.

Publication types

Research Support, Non-U.S. Gov't
Research Support, U.S. Gov't, Non-P.H.S.

MeSH terms

Algorithms*
Catalysis
Origin of Life*
Recombination, Genetic