{"id":"https://openalex.org/W4382065266","doi":"https://doi.org/10.1137/22m149853x","title":"The Disguised Toric Locus and Affine Equivalence of Reaction Networks","display_name":"The Disguised Toric Locus and Affine Equivalence of Reaction Networks","publication_year":2023,"publication_date":"2023-06-26","ids":{"openalex":"https://openalex.org/W4382065266","doi":"https://doi.org/10.1137/22m149853x"},"language":"en","primary_location":{"id":"doi:10.1137/22m149853x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m149853x","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":["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/A5003166763","display_name":"Sabina J. Haque","orcid":"https://orcid.org/0000-0002-6998-2941"},"institutions":[{"id":"https://openalex.org/I136199984","display_name":"Harvard University","ror":"https://ror.org/03vek6s52","country_code":"US","type":"education","lineage":["https://openalex.org/I136199984"]},{"id":"https://openalex.org/I4210153325","display_name":"Institute of Mathematical Statistics","ror":"https://ror.org/043f04882","country_code":"US","type":"other","lineage":["https://openalex.org/I4210153325"]},{"id":"https://openalex.org/I4210155419","display_name":"Center for Systems Biology","ror":"https://ror.org/05r3dyn47","country_code":"US","type":"facility","lineage":["https://openalex.org/I136199984","https://openalex.org/I4210087915","https://openalex.org/I4210155419","https://openalex.org/I48633490"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sabina J. Haque","raw_affiliation_strings":["Department of Systems Biology and NSF-Simons Center for Mathematical and Statistical Analysis of Biology, Harvard University, Cambridge, MA 02138 USA","Department of Systems Biology, Harvard University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Systems Biology and NSF-Simons Center for Mathematical and Statistical Analysis of Biology, Harvard University, Cambridge, MA 02138 USA","institution_ids":["https://openalex.org/I4210153325"]},{"raw_affiliation_string":"Department of Systems Biology, Harvard University","institution_ids":["https://openalex.org/I136199984","https://openalex.org/I4210155419"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012906621","display_name":"Matthew Satriano","orcid":"https://orcid.org/0000-0001-7954-1210"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Matthew Satriano","raw_affiliation_strings":["Department of Pure Mathematics, University of Waterloo, Waterloo N2L 3G1, ON, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Pure Mathematics, University of Waterloo, Waterloo N2L 3G1, ON, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086348739","display_name":"Miruna\u2010\u015etefana Sorea","orcid":"https://orcid.org/0000-0001-7625-2237"},"institutions":[{"id":"https://openalex.org/I124121301","display_name":"Lucian Blaga University of Sibiu","ror":"https://ror.org/026gdz537","country_code":"RO","type":"education","lineage":["https://openalex.org/I124121301"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Miruna\u2013\u015etefana Sorea","raw_affiliation_strings":["Scuola Internazionale Superiore di Studi Avanzati, Trieste 34136, Italy, and Lucian Blaga University of Sibiu, Sibiu 550012, Romania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Scuola Internazionale Superiore di Studi Avanzati, Trieste 34136, Italy, and Lucian Blaga University of Sibiu, Sibiu 550012, Romania","institution_ids":["https://openalex.org/I124121301"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080899968","display_name":"Polly Y. Yu","orcid":"https://orcid.org/0000-0003-2406-8723"},"institutions":[{"id":"https://openalex.org/I4210153325","display_name":"Institute of Mathematical Statistics","ror":"https://ror.org/043f04882","country_code":"US","type":"other","lineage":["https://openalex.org/I4210153325"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Polly Y. Yu","raw_affiliation_strings":["NSF-Simons Center for Mathematical and Statistical Analysis of Biology, Harvard University, Cambridge, MA 02138 USA"],"raw_orcid":"https://orcid.org/0000-0003-2406-8723","affiliations":[{"raw_affiliation_string":"NSF-Simons Center for Mathematical and Statistical Analysis of Biology, Harvard University, Cambridge, MA 02138 USA","institution_ids":["https://openalex.org/I4210153325"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4687,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.58003509,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"22","issue":"2","first_page":"1423","last_page":"1444"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9958000183105469,"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":0.9958000183105469,"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/T10044","display_name":"Protein Structure and Dynamics","score":0.9890000224113464,"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/T11445","display_name":"Origins and Evolution of Life","score":0.9847999811172485,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.781002938747406},{"id":"https://openalex.org/keywords/bijection","display_name":"Bijection","score":0.7224349975585938},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.5819934606552124},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5766288042068481},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.567807674407959},{"id":"https://openalex.org/keywords/invertible-matrix","display_name":"Invertible matrix","score":0.5180159211158752},{"id":"https://openalex.org/keywords/action","display_name":"Action (physics)","score":0.4759797155857086},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4233267307281494},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.18858125805854797},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14901024103164673}],"concepts":[{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.781002938747406},{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.7224349975585938},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.5819934606552124},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5766288042068481},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.567807674407959},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.5180159211158752},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.4759797155857086},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4233267307281494},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.18858125805854797},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14901024103164673},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/22m149853x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m149853x","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W1545533528","https://openalex.org/W1970221707","https://openalex.org/W1974915811","https://openalex.org/W1988741929","https://openalex.org/W1991482214","https://openalex.org/W2025569385","https://openalex.org/W2028773706","https://openalex.org/W2034787898","https://openalex.org/W2036546758","https://openalex.org/W2038006683","https://openalex.org/W2049611659","https://openalex.org/W2052403012","https://openalex.org/W2054616792","https://openalex.org/W2056816090","https://openalex.org/W2066718612","https://openalex.org/W2091695815","https://openalex.org/W2094781369","https://openalex.org/W2143741733","https://openalex.org/W2163086195","https://openalex.org/W2164198012","https://openalex.org/W2169275901","https://openalex.org/W2911202212","https://openalex.org/W2911585371","https://openalex.org/W2962700275","https://openalex.org/W2962750836","https://openalex.org/W2963014754","https://openalex.org/W2963237893","https://openalex.org/W2963634964","https://openalex.org/W2963747977","https://openalex.org/W2964137228","https://openalex.org/W2964290173","https://openalex.org/W2979717683","https://openalex.org/W3000618910","https://openalex.org/W3003701621","https://openalex.org/W3048755236","https://openalex.org/W3083505422","https://openalex.org/W3100479371","https://openalex.org/W3100811169","https://openalex.org/W3101987991","https://openalex.org/W3103387227","https://openalex.org/W3135197619","https://openalex.org/W4207051822","https://openalex.org/W4244787221"],"related_works":["https://openalex.org/W2952259524","https://openalex.org/W2279732055","https://openalex.org/W2995857455","https://openalex.org/W4288805235","https://openalex.org/W2998840281","https://openalex.org/W1593399214","https://openalex.org/W4390647552","https://openalex.org/W131040450","https://openalex.org/W4300186027","https://openalex.org/W113490245"],"abstract_inverted_index":{"Under":[0],"the":[1,40,54,69,74],"assumption":[2],"of":[3,68,76,94],"mass-action":[4,25,78],"kinetics,":[5],"a":[6,24,88],"dynamical":[7,49],"system":[8,26],"may":[9],"be":[10],"induced":[11],"by":[12],"several":[13],"different":[14],"reaction":[15],"networks":[16],"and/or":[17],"parameters.":[18],"It":[19],"is":[20,87],"therefore":[21],"possible":[22],"for":[23],"to":[27,59],"exhibit":[28],"complex-balancing":[29],"dynamics":[30,75,101],"without":[31],"being":[32],"weakly":[33],"reversible":[34],"or":[35],"satisfying":[36],"toric":[37,48],"constraints":[38],"on":[39],"rate":[41],"constants;":[42],"such":[43,60],"systems":[44,61,79],"are":[45,62],"called":[46],"disguised":[47],"systems.":[50],"We":[51,71],"show":[52,84],"that":[53,56,85],"parameters":[55],"give":[57],"rise":[58],"preserved":[63],"under":[64,80],"invertible":[65],"affine":[66,81],"transformations":[67,82],"network.":[70],"also":[72],"consider":[73],"arbitrary":[77],"and":[83],"there":[86],"canonical":[89],"bijection":[90],"between":[91],"their":[92,99],"sets":[93],"positive":[95],"steady":[96],"states,":[97],"although":[98],"qualitative":[100],"can":[102],"differ":[103],"substantially.":[104]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}