{"id":"https://openalex.org/W1545533528","doi":"https://doi.org/10.1137/15m1034441","title":"Some Results on Injectivity and Multistationarity in Chemical Reaction Networks","display_name":"Some Results on Injectivity and Multistationarity in Chemical Reaction Networks","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W1545533528","doi":"https://doi.org/10.1137/15m1034441","mag":"1545533528"},"language":"en","primary_location":{"id":"doi:10.1137/15m1034441","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1034441","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"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 Applied Dynamical Systems","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1309.6771","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Murad Banaji","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Murad Banaji","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Casian Pantea","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Casian Pantea","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.3882,"has_fulltext":false,"cited_by_count":41,"citation_normalized_percentile":{"value":0.87656001,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":99},"biblio":{"volume":"15","issue":"2","first_page":"807","last_page":"869"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13362","display_name":"Slime Mold and Myxomycetes Research","score":0.2757999897003174,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13362","display_name":"Slime Mold and Myxomycetes Research","score":0.2757999897003174,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.2712000012397766,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.08209999650716782,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.7401000261306763},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.6528000235557556},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5537999868392944},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5472999811172485},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5080000162124634},{"id":"https://openalex.org/keywords/linear-algebra","display_name":"Linear algebra","score":0.44999998807907104},{"id":"https://openalex.org/keywords/algebraic-geometry","display_name":"Algebraic geometry","score":0.4242999851703644}],"concepts":[{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.7401000261306763},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.6528000235557556},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5537999868392944},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5472999811172485},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5080000162124634},{"id":"https://openalex.org/C139352143","wikidata":"https://www.wikidata.org/wiki/Q82571","display_name":"Linear algebra","level":2,"score":0.44999998807907104},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44940000772476196},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4474000036716461},{"id":"https://openalex.org/C68363185","wikidata":"https://www.wikidata.org/wiki/Q180969","display_name":"Algebraic geometry","level":2,"score":0.4242999851703644},{"id":"https://openalex.org/C136003732","wikidata":"https://www.wikidata.org/wiki/Q3854337","display_name":"Algebraic operation","level":3,"score":0.37229999899864197},{"id":"https://openalex.org/C182419690","wikidata":"https://www.wikidata.org/wiki/Q205464","display_name":"Algebraic structure","level":2,"score":0.35179999470710754},{"id":"https://openalex.org/C165761256","wikidata":"https://www.wikidata.org/wiki/Q648995","display_name":"Algebraic variety","level":3,"score":0.3449000120162964},{"id":"https://openalex.org/C13336665","wikidata":"https://www.wikidata.org/wiki/Q125977","display_name":"Vector space","level":2,"score":0.29989999532699585},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.29409998655319214},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.26460000872612},{"id":"https://openalex.org/C110812573","wikidata":"https://www.wikidata.org/wiki/Q175515","display_name":"Symbolic computation","level":2,"score":0.2632000148296356},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.25699999928474426}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/15m1034441","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1034441","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"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 Applied Dynamical Systems","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1309.6771","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1309.6771","pdf_url":"https://arxiv.org/pdf/1309.6771","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:eprints.mdx.ac.uk:20576","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400025","display_name":"Middlesex University Research Repository (Middlesex University Of London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I60488453","host_organization_name":"Middlesex University","host_organization_lineage":["https://openalex.org/I60488453"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1309.6771","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1309.6771","pdf_url":"https://arxiv.org/pdf/1309.6771","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2767957006","display_name":"Stability and order preservation in chemical reaction networks","funder_award_id":"EP/J008826/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G392294439","display_name":null,"funder_award_id":"EP/J008826/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G8373494834","display_name":null,"funder_award_id":"F/07 058/BU","funder_id":"https://openalex.org/F4320319993","funder_display_name":"Leverhulme Trust"}],"funders":[{"id":"https://openalex.org/F4320319993","display_name":"Leverhulme Trust","ror":"https://ror.org/012mzw131"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W130878554","https://openalex.org/W1965567178","https://openalex.org/W1974915811","https://openalex.org/W1984006289","https://openalex.org/W1993787735","https://openalex.org/W1996851382","https://openalex.org/W1998967624","https://openalex.org/W2011420079","https://openalex.org/W2015886941","https://openalex.org/W2017607641","https://openalex.org/W2019582172","https://openalex.org/W2025065282","https://openalex.org/W2032681364","https://openalex.org/W2033925647","https://openalex.org/W2036546758","https://openalex.org/W2043653908","https://openalex.org/W2047575710","https://openalex.org/W2052876170","https://openalex.org/W2055505698","https://openalex.org/W2064042985","https://openalex.org/W2064153357","https://openalex.org/W2071067233","https://openalex.org/W2079462240","https://openalex.org/W2080951759","https://openalex.org/W2085791018","https://openalex.org/W2085916283","https://openalex.org/W2090032951","https://openalex.org/W2091695815","https://openalex.org/W2094781369","https://openalex.org/W2102450454","https://openalex.org/W2116591110","https://openalex.org/W2123910740","https://openalex.org/W2125149430","https://openalex.org/W2133116903","https://openalex.org/W2144292014","https://openalex.org/W2159807606","https://openalex.org/W2164198012","https://openalex.org/W2963060498","https://openalex.org/W2964021005","https://openalex.org/W4230172292"],"related_works":[],"abstract_inverted_index":{"The":[0,47],"goal":[1],"of":[2,31,40,98,106,120],"this":[3],"paper":[4],"is":[5],"to":[6,102,134],"gather":[7],"and":[8,12,17,43,94,138],"develop":[9],"some":[10,56],"necessary":[11],"sufficient":[13],"criteria":[14],"for":[15],"injectivity":[16],"multistationarity":[18],"in":[19,70,125,142],"vector":[20],"fields":[21],"associated":[22],"with":[23,55],"a":[24,29,126],"chemical":[25],"reaction":[26,45],"network":[27,42],"under":[28],"variety":[30,105],"more":[32],"or":[33,53,65],"less":[34],"general":[35],"assumptions":[36],"on":[37,90],"the":[38,41,44,71,76,79,104,121,132,143],"nature":[39],"rates.":[46],"results":[48,58,62,69,80],"are":[49,66,100,123],"primarily":[50],"linear":[51,92],"algebraic":[52],"matrix-theoretic,":[54],"graph-theoretic":[57],"also":[59],"mentioned.":[60],"Several":[61],"appear":[63],"in,":[64],"close":[67],"to,":[68],"literature.":[72],"Here,":[73],"we":[74],"emphasize":[75],"connections":[77],"between":[78],"and,":[81],"where":[82],"possible,":[83],"present":[84],"elementary":[85],"proofs":[86],"which":[87,110],"rely":[88],"solely":[89],"basic":[91],"algebra":[93],"calculus.":[95],"A":[96],"number":[97],"examples":[99,136],"provided":[101],"illustrate":[103],"subtly":[107],"different":[108,115],"conclusions":[109],"can":[111],"be":[112],"reached":[113],"via":[114],"computations.":[116],"In":[117],"addition,":[118],"many":[119],"computations":[122],"implemented":[124],"web-based":[127],"open":[128],"source":[129],"platform,":[130],"allowing":[131],"reader":[133],"test":[135],"including":[137],"beyond":[139],"those":[140],"analyzed":[141],"paper.":[144]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2}],"updated_date":"2026-07-03T08:13:44.112507","created_date":"2016-06-24T00:00:00"}
