Dominance and Deficiency for Petri Nets and Chemical Reaction Networks
Distributed, Parallel, and Cluster Computing
2015-06-16 v2
Abstract
Inspired by Anderson et al. [J. R. Soc. Interface, 2014] we study the long-term behavior of discrete chemical reaction networks (CRNs). In particular, using techniques from both Petri net theory and CRN theory, we provide a powerful sufficient condition for a structurally-bounded CRN to have the property that none of the non-terminal reactions can fire for all its recurrent configurations. We compare this result and its proof with a related result of Anderson et al. and show its consequences for the case of CRNs with deficiency one.
Keywords
Cite
@article{arxiv.1503.04005,
title = {Dominance and Deficiency for Petri Nets and Chemical Reaction Networks},
author = {Robert Brijder},
journal= {arXiv preprint arXiv:1503.04005},
year = {2015}
}
Comments
16 pages, 11 figures