{"id":"https://openalex.org/W2129227811","doi":"https://doi.org/10.1137/080720115","title":"Vector-Space Methods and Kirchhoff Graphs for Reaction Networks","display_name":"Vector-Space Methods and Kirchhoff Graphs for Reaction Networks","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2129227811","doi":"https://doi.org/10.1137/080720115","mag":"2129227811"},"language":"en","primary_location":{"id":"doi:10.1137/080720115","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080720115","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Mathematics","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/A5055822581","display_name":"Joseph D. Fehribach","orcid":"https://orcid.org/0000-0002-5814-3587"},"institutions":[{"id":"https://openalex.org/I107077323","display_name":"Worcester Polytechnic Institute","ror":"https://ror.org/05ejpqr48","country_code":"US","type":"education","lineage":["https://openalex.org/I107077323"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Joseph D. Fehribach","raw_affiliation_strings":["Worcester Polytechnic Institute"],"affiliations":[{"raw_affiliation_string":"Worcester Polytechnic Institute","institution_ids":["https://openalex.org/I107077323"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5055822581"],"corresponding_institution_ids":["https://openalex.org/I107077323"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.15571262,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"70","issue":"2","first_page":"543","last_page":"562"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9961000084877014,"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":0.9961000084877014,"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/T10932","display_name":"Microbial Metabolic Engineering and Bioproduction","score":0.9868000149726868,"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/T10409","display_name":"Fuel Cells and Related Materials","score":0.9656999707221985,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/representation","display_name":"Representation (politics)","score":0.5779536962509155},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5480905771255493},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5070457458496094},{"id":"https://openalex.org/keywords/vector-space","display_name":"Vector space","score":0.4960363805294037},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3673532009124756},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2795614004135132},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.25760382413864136}],"concepts":[{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5779536962509155},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5480905771255493},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5070457458496094},{"id":"https://openalex.org/C13336665","wikidata":"https://www.wikidata.org/wiki/Q125977","display_name":"Vector space","level":2,"score":0.4960363805294037},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3673532009124756},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2795614004135132},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.25760382413864136},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/080720115","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080720115","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:digitalcommons.wpi.edu:mathematicalsciences-pubs-1008","is_oa":false,"landing_page_url":"https://digitalcommons.wpi.edu/mathematicalsciences-pubs/8","pdf_url":null,"source":{"id":"https://openalex.org/S4377196141","display_name":"Digital WPI","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematical Sciences Faculty Publications","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W246837549","https://openalex.org/W1484040084","https://openalex.org/W1502925880","https://openalex.org/W1597538628","https://openalex.org/W1972657716","https://openalex.org/W1974915811","https://openalex.org/W1976338595","https://openalex.org/W1980174881","https://openalex.org/W1981053893","https://openalex.org/W2000720022","https://openalex.org/W2001474519","https://openalex.org/W2005054331","https://openalex.org/W2007331154","https://openalex.org/W2011011416","https://openalex.org/W2011951282","https://openalex.org/W2037275693","https://openalex.org/W2050349940","https://openalex.org/W2053145248","https://openalex.org/W2053545034","https://openalex.org/W2056300283","https://openalex.org/W2084344247","https://openalex.org/W2090882754","https://openalex.org/W2483651491","https://openalex.org/W2886407910"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2042127053","https://openalex.org/W4240580698","https://openalex.org/W1969287914"],"abstract_inverted_index":{"This":[0],"article":[1],"presents":[2],"a":[3],"vector-space":[4],"formulation":[5],"for":[6,20],"constructing":[7],"reaction":[8,21],"routes":[9],"(reaction":[10,15],"pathways)":[11],"and":[12],"Kirchhoff":[13,44],"graphs":[14],"route":[16],"graphs,":[17,45],"fundamental":[18,52],"graphs)":[19],"networks.":[22],"Specific":[23],"examples":[24],"from":[25],"fuel-cell":[26],"electrochemistry":[27],"are":[28,57],"included":[29],"throughout":[30],"to":[31],"illustrate":[32],"the":[33,40,51],"more":[34],"general":[35],"theoretical":[36],"discussion.":[37],"Some":[38],"of":[39,43,50,54],"mathematical":[41],"aspects":[42],"such":[46],"as":[47],"their":[48],"representation":[49],"theorem":[53],"linear":[55],"algebra,":[56],"also":[58],"discussed.":[59]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}