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http://hdl.handle.net/1942/28194
Title: | Conditions for Extinction Events in Chemical Reaction Networks with Discrete State Spaces | Authors: | Johnston, Matthew D. Anderson, David F. Craciun, Gheorghe BRIJDER, Robert |
Issue Date: | 2018 | Source: | JOURNAL OF MATHEMATICAL BIOLOGY, 76 (6), p. 1535-1558 | Abstract: | We study chemical reaction networks with discrete state spaces and present sufficient conditions on the structure of the network that guarantee the system exhibits an extinction event. The conditions we derive involve creating a modified chemical reaction network called a domination-expanded reaction network and then checking properties of this network. Unlike previous results, our analysis allows algorithmic implementation via systems of equalities and inequalities and suggests sequences of reactions which may lead to extinction events. We apply the results to several networks including an EnvZ-OmpR signaling pathway in Escherichia coli. | Notes: | Johnston, MD (reprint author), San Jose State Univ, Dept Math, San Jose, CA 95192 USA. matthew.johnston@sjsu.edu | Keywords: | Reaction network; Reaction graph; Extinction; Stochastic process; Petri net | Document URI: | http://hdl.handle.net/1942/28194 | ISSN: | 0303-6812 | e-ISSN: | 1432-1416 | DOI: | 10.1007/s00285-017-1182-x | ISI #: | 000426850000008 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2019 |
Appears in Collections: | Research publications |
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File | Description | Size | Format | |
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JMB-r1.pdf | Peer-reviewed author version | 355.28 kB | Adobe PDF | View/Open |
Johnston2018_Article_ConditionsForExtinctionEventsI.pdf Restricted Access | Published version | 512.89 kB | Adobe PDF | View/Open Request a copy |
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