{"id":"https://openalex.org/W2164198012","doi":"https://doi.org/10.1137/110840509","title":"On the Persistence and Global Stability of Mass-Action Systems","display_name":"On the Persistence and Global Stability of Mass-Action Systems","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2164198012","doi":"https://doi.org/10.1137/110840509","mag":"2164198012"},"language":"en","primary_location":{"id":"doi:10.1137/110840509","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110840509","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074239228","display_name":"Casian Pantea","orcid":"https://orcid.org/0000-0003-1921-4757"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Casian Pantea","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Imperial College London"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5074239228"],"corresponding_institution_ids":["https://openalex.org/I47508984"],"apc_list":null,"apc_paid":null,"fwci":2.4185,"has_fulltext":false,"cited_by_count":92,"citation_normalized_percentile":{"value":0.89382679,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"44","issue":"3","first_page":"1636","last_page":"1673"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9807999730110168,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10932","display_name":"Microbial Metabolic Engineering and Bioproduction","score":0.9747999906539917,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.727929949760437},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6830111742019653},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.6741039156913757},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6102719902992249},{"id":"https://openalex.org/keywords/action","display_name":"Action (physics)","score":0.5235012173652649},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.4850586950778961},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.4417226314544678},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.41750943660736084},{"id":"https://openalex.org/keywords/persistence","display_name":"Persistence (discontinuity)","score":0.41382110118865967},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3828057050704956},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.27562451362609863},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2419987916946411},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12306603789329529},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08138105273246765}],"concepts":[{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.727929949760437},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6830111742019653},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.6741039156913757},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6102719902992249},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.5235012173652649},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.4850586950778961},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.4417226314544678},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.41750943660736084},{"id":"https://openalex.org/C2781009140","wikidata":"https://www.wikidata.org/wiki/Q7170389","display_name":"Persistence (discontinuity)","level":2,"score":0.41382110118865967},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3828057050704956},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27562451362609863},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2419987916946411},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12306603789329529},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08138105273246765},{"id":"https://openalex.org/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/110840509","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110840509","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2260292812","display_name":null,"funder_award_id":"R01GM086881","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"}],"funders":[{"id":"https://openalex.org/F4320309434","display_name":"University of Wisconsin-Madison","ror":"https://ror.org/01y2jtd41"},{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W118555614","https://openalex.org/W130878554","https://openalex.org/W217710249","https://openalex.org/W1584154100","https://openalex.org/W1945015015","https://openalex.org/W1963626066","https://openalex.org/W1965721509","https://openalex.org/W1988741929","https://openalex.org/W1991482214","https://openalex.org/W1997710477","https://openalex.org/W2019582172","https://openalex.org/W2025569385","https://openalex.org/W2027343907","https://openalex.org/W2036546758","https://openalex.org/W2056816090","https://openalex.org/W2078910282","https://openalex.org/W2094781369","https://openalex.org/W2109427669","https://openalex.org/W2115263319","https://openalex.org/W2116591110","https://openalex.org/W2133116903","https://openalex.org/W2169275901","https://openalex.org/W2171505650","https://openalex.org/W2963012918","https://openalex.org/W2963060498","https://openalex.org/W2963237893","https://openalex.org/W3098052815"],"related_works":["https://openalex.org/W1529715114","https://openalex.org/W3038654277","https://openalex.org/W2120826334","https://openalex.org/W1996842796","https://openalex.org/W2022017350","https://openalex.org/W3105807034","https://openalex.org/W2011488868","https://openalex.org/W2387940494","https://openalex.org/W2065861413","https://openalex.org/W1902962780"],"abstract_inverted_index":{"This":[0],"paper":[1],"concerns":[2],"the":[3,28,35,39,45,82],"long-term":[4],"behavior":[5],"of":[6,12,30,47,51],"population":[7],"systems,":[8,15],"and":[9,38],"in":[10,27,56,60],"particular":[11],"chemical":[13,31],"reaction":[14,32],"modeled":[16],"by":[17],"deterministic":[18],"mass-action":[19,63],"kinetics.":[20],"We":[21,43],"approach":[22],"two":[23],"important":[24],"open":[25],"problems":[26],"field":[29],"network":[33],"theory:":[34],"Persistence":[36],"Conjecture":[37,85],"Global":[40,83],"Attractor":[41,84],"Conjecture.":[42],"study":[44],"persistence":[46],"a":[48],"large":[49],"class":[50],"networks":[52],"called":[53],"lower-endotactic":[54],"and,":[55],"particular,":[57],"show":[58,80],"that":[59,81],"weakly":[61],"reversible":[62],"systems":[64,89],"with":[65,90],"two-dimensional":[66],"stoichiometric":[67,92],"subspace":[68],"all":[69],"bounded":[70],"trajectories":[71],"are":[72],"persistent.":[73],"Moreover,":[74],"we":[75],"use":[76],"these":[77],"ideas":[78],"to":[79],"is":[86],"true":[87],"for":[88],"three-dimensional":[91],"subspace.":[93]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":12},{"year":2019,"cited_by_count":15},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":4}],"updated_date":"2026-06-19T17:40:00.097472","created_date":"2025-10-10T00:00:00"}
