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http://hdl.handle.net/1942/28194
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DC Field | Value | Language |
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dc.contributor.author | Johnston, Matthew D. | - |
dc.contributor.author | Anderson, David F. | - |
dc.contributor.author | Craciun, Gheorghe | - |
dc.contributor.author | BRIJDER, Robert | - |
dc.date.accessioned | 2019-05-08T11:53:41Z | - |
dc.date.available | 2019-05-08T11:53:41Z | - |
dc.date.issued | 2018 | - |
dc.identifier.citation | JOURNAL OF MATHEMATICAL BIOLOGY, 76 (6), p. 1535-1558 | - |
dc.identifier.issn | 0303-6812 | - |
dc.identifier.uri | http://hdl.handle.net/1942/28194 | - |
dc.description.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. | - |
dc.description.sponsorship | MDJ and DFA were supported by Army Research Office Grant W911NF-14-1-0401. DFA was also supported by NSF-DMS-1318832 and MDJ was also supported by the Henry Woodward Fund. GC was supported by NSF-DMS-1412643. RB is a postdoctoral fellow of the Research Foundation-Flanders (FWO). The authors are also grateful to the anonymous referees whose suggestions have greatly improved the readability, clarity, and accuracy of the paper. | - |
dc.language.iso | en | - |
dc.subject.other | Reaction network; Reaction graph; Extinction; Stochastic process; Petri net | - |
dc.title | Conditions for Extinction Events in Chemical Reaction Networks with Discrete State Spaces | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 1558 | - |
dc.identifier.issue | 6 | - |
dc.identifier.spage | 1535 | - |
dc.identifier.volume | 76 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | Johnston, MD (reprint author), San Jose State Univ, Dept Math, San Jose, CA 95192 USA. matthew.johnston@sjsu.edu | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.identifier.doi | 10.1007/s00285-017-1182-x | - |
dc.identifier.isi | 000426850000008 | - |
item.validation | ecoom 2019 | - |
item.fulltext | With Fulltext | - |
item.accessRights | Open Access | - |
item.fullcitation | Johnston, Matthew D.; Anderson, David F.; Craciun, Gheorghe & BRIJDER, Robert (2018) Conditions for Extinction Events in Chemical Reaction Networks with Discrete State Spaces. In: JOURNAL OF MATHEMATICAL BIOLOGY, 76 (6), p. 1535-1558. | - |
item.contributor | Johnston, Matthew D. | - |
item.contributor | Anderson, David F. | - |
item.contributor | Craciun, Gheorghe | - |
item.contributor | BRIJDER, Robert | - |
crisitem.journal.issn | 0303-6812 | - |
crisitem.journal.eissn | 1432-1416 | - |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
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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