A computational approach to extinction events in chemical reaction networks with discrete state spaces

摘要

Highlights?Recent results give conditions for extinction events in reaction networks with discrete state spaces.?The conditions consist of generating a series of systems of inequalities then checking their feasibility.?We present a computational implementation of these conditions written in Python.?We run the program on 458 models from the BioModels database and present our findings.AbstractRecent work of Johnston et?al. has produced sufficient conditions on the structure of a chemical reaction network which guarantee that the corresponding discrete state space system exhibits an extinction event. The conditions consist of a series of systems of equalities and inequalities on the edges of a modified reaction network called a domination-expanded reaction network. In this paper, we present a computational implementation of these conditions written in Python and ap