{"id":"https://openalex.org/W1716819204","doi":"https://doi.org/10.23919/ecc.2013.6669587","title":"Model-order reduction of biochemical reaction networks","display_name":"Model-order reduction of biochemical reaction networks","publication_year":2013,"publication_date":"2013-07-01","ids":{"openalex":"https://openalex.org/W1716819204","doi":"https://doi.org/10.23919/ecc.2013.6669587","mag":"1716819204"},"language":"en","primary_location":{"id":"doi:10.23919/ecc.2013.6669587","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2013.6669587","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 European Control Conference (ECC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hdl.handle.net/11370/1d9de5ae-c7d6-40f9-8866-72daaccd9f48","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5075308179","display_name":"Shodhan Rao","orcid":"https://orcid.org/0000-0001-8840-6950"},"institutions":[{"id":"https://openalex.org/I169381384","display_name":"University of Groningen","ror":"https://ror.org/012p63287","country_code":"NL","type":"education","lineage":["https://openalex.org/I169381384"]},{"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":["NL","US"],"is_corresponding":true,"raw_author_name":"Shodhan Rao","raw_affiliation_strings":["Center for Systems Biology, University of Groningen","Center for Syst. Biol., Univ. of Groningen, Groningen, Netherlands"],"affiliations":[{"raw_affiliation_string":"Center for Systems Biology, University of Groningen","institution_ids":["https://openalex.org/I169381384","https://openalex.org/I4210155419"]},{"raw_affiliation_string":"Center for Syst. Biol., Univ. of Groningen, Groningen, Netherlands","institution_ids":["https://openalex.org/I169381384"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005018540","display_name":"Arjan van der Schaft","orcid":"https://orcid.org/0000-0002-2383-9234"},"institutions":[{"id":"https://openalex.org/I169381384","display_name":"University of Groningen","ror":"https://ror.org/012p63287","country_code":"NL","type":"education","lineage":["https://openalex.org/I169381384"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Arjan van der Schaft","raw_affiliation_strings":["Johann Bernoulli Institute for Mathematics and Computer Science, University of Groningen","Johann Bernoulli Inst. for Math. & Comput. Sci., Univ. of Groningen, Groningen, Netherlands"],"affiliations":[{"raw_affiliation_string":"Johann Bernoulli Institute for Mathematics and Computer Science, University of Groningen","institution_ids":["https://openalex.org/I169381384"]},{"raw_affiliation_string":"Johann Bernoulli Inst. for Math. & Comput. Sci., Univ. of Groningen, Groningen, Netherlands","institution_ids":["https://openalex.org/I169381384"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074406851","display_name":"Karen van Eunen","orcid":"https://orcid.org/0000-0001-5603-1883"},"institutions":[{"id":"https://openalex.org/I1334415907","display_name":"University Medical Center Groningen","ror":"https://ror.org/03cv38k47","country_code":"NL","type":"funder","lineage":["https://openalex.org/I1334415907"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Karen van Eunen","raw_affiliation_strings":["Department of Paediatrics, Universitair Medisch Centrum Groningen","Digestive & Metabolic Diseases (LDS). Dept. of Paediatrics, Univ. Medisch Centrum Groningen, Groningen, Netherlands"],"affiliations":[{"raw_affiliation_string":"Department of Paediatrics, Universitair Medisch Centrum Groningen","institution_ids":["https://openalex.org/I1334415907"]},{"raw_affiliation_string":"Digestive & Metabolic Diseases (LDS). Dept. of Paediatrics, Univ. Medisch Centrum Groningen, Groningen, Netherlands","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064034989","display_name":"Barbara M. Bakker","orcid":"https://orcid.org/0000-0001-6274-3633"},"institutions":[{"id":"https://openalex.org/I169381384","display_name":"University of Groningen","ror":"https://ror.org/012p63287","country_code":"NL","type":"education","lineage":["https://openalex.org/I169381384"]},{"id":"https://openalex.org/I2799411422","display_name":"Center for Discrete Mathematics and Theoretical Computer Science","ror":"https://ror.org/00k551w06","country_code":"US","type":"facility","lineage":["https://openalex.org/I102322142","https://openalex.org/I118347220","https://openalex.org/I1283103587","https://openalex.org/I1311060795","https://openalex.org/I20089843","https://openalex.org/I2799411422","https://openalex.org/I4210107353"]}],"countries":["NL","US"],"is_corresponding":false,"raw_author_name":"Barbara M. Bakker","raw_affiliation_strings":["Discrete Technology and Production Automation, University of Groningen","Digestive & Metabolic Diseases (LDS). Dept. of Paediatrics, Univ. Medisch Centrum Groningen, Groningen, Netherlands"],"affiliations":[{"raw_affiliation_string":"Discrete Technology and Production Automation, University of Groningen","institution_ids":["https://openalex.org/I2799411422","https://openalex.org/I169381384"]},{"raw_affiliation_string":"Digestive & Metabolic Diseases (LDS). Dept. of Paediatrics, Univ. Medisch Centrum Groningen, Groningen, Netherlands","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023001118","display_name":"Bayu Jayawardhana","orcid":"https://orcid.org/0000-0003-0987-0347"},"institutions":[{"id":"https://openalex.org/I169381384","display_name":"University of Groningen","ror":"https://ror.org/012p63287","country_code":"NL","type":"education","lineage":["https://openalex.org/I169381384"]},{"id":"https://openalex.org/I2799411422","display_name":"Center for Discrete Mathematics and Theoretical Computer Science","ror":"https://ror.org/00k551w06","country_code":"US","type":"facility","lineage":["https://openalex.org/I102322142","https://openalex.org/I118347220","https://openalex.org/I1283103587","https://openalex.org/I1311060795","https://openalex.org/I20089843","https://openalex.org/I2799411422","https://openalex.org/I4210107353"]}],"countries":["NL","US"],"is_corresponding":false,"raw_author_name":"Bayu Jayawardhana","raw_affiliation_strings":["Discrete Technology and Production Automation, University of Groningen","Discrete Technol. & Production Autom., Univ. of Groningen, Groningen, Netherlands"],"affiliations":[{"raw_affiliation_string":"Discrete Technology and Production Automation, University of Groningen","institution_ids":["https://openalex.org/I2799411422","https://openalex.org/I169381384"]},{"raw_affiliation_string":"Discrete Technol. & Production Autom., Univ. of Groningen, Groningen, Netherlands","institution_ids":["https://openalex.org/I169381384"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5075308179"],"corresponding_institution_ids":["https://openalex.org/I169381384","https://openalex.org/I4210155419"],"apc_list":null,"apc_paid":null,"fwci":1.1978,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.77521285,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"4502","last_page":"4507"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10044","display_name":"Protein Structure and Dynamics","score":0.9937999844551086,"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/T10044","display_name":"Protein Structure and Dynamics","score":0.9937999844551086,"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":0.9861000180244446,"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/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9836000204086304,"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/reduction","display_name":"Reduction (mathematics)","score":0.6596447825431824},{"id":"https://openalex.org/keywords/kinetics","display_name":"Kinetics","score":0.5296100378036499},{"id":"https://openalex.org/keywords/model-order-reduction","display_name":"Model order reduction","score":0.5288589596748352},{"id":"https://openalex.org/keywords/laplacian-matrix","display_name":"Laplacian matrix","score":0.5194323062896729},{"id":"https://openalex.org/keywords/chemical-kinetics","display_name":"Chemical kinetics","score":0.4963684678077698},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.489657461643219},{"id":"https://openalex.org/keywords/biological-system","display_name":"Biological system","score":0.4735267162322998},{"id":"https://openalex.org/keywords/order-of-reaction","display_name":"Order of reaction","score":0.43301820755004883},{"id":"https://openalex.org/keywords/chemical-reaction","display_name":"Chemical reaction","score":0.4295724034309387},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.4242272675037384},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4127046763896942},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38155099749565125},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27121779322624207},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19163739681243896},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16771063208580017},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.11211004853248596},{"id":"https://openalex.org/keywords/biochemistry","display_name":"Biochemistry","score":0.10780051350593567},{"id":"https://openalex.org/keywords/reaction-rate-constant","display_name":"Reaction rate constant","score":0.10360392928123474}],"concepts":[{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.6596447825431824},{"id":"https://openalex.org/C148898269","wikidata":"https://www.wikidata.org/wiki/Q1108792","display_name":"Kinetics","level":2,"score":0.5296100378036499},{"id":"https://openalex.org/C2779277453","wikidata":"https://www.wikidata.org/wiki/Q12202921","display_name":"Model order reduction","level":3,"score":0.5288589596748352},{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.5194323062896729},{"id":"https://openalex.org/C36663273","wikidata":"https://www.wikidata.org/wiki/Q209082","display_name":"Chemical kinetics","level":3,"score":0.4963684678077698},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.489657461643219},{"id":"https://openalex.org/C186060115","wikidata":"https://www.wikidata.org/wiki/Q30336093","display_name":"Biological system","level":1,"score":0.4735267162322998},{"id":"https://openalex.org/C135502975","wikidata":"https://www.wikidata.org/wiki/Q904041","display_name":"Order of reaction","level":4,"score":0.43301820755004883},{"id":"https://openalex.org/C177801218","wikidata":"https://www.wikidata.org/wiki/Q36534","display_name":"Chemical reaction","level":2,"score":0.4295724034309387},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.4242272675037384},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4127046763896942},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38155099749565125},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27121779322624207},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19163739681243896},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16771063208580017},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.11211004853248596},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.10780051350593567},{"id":"https://openalex.org/C93391505","wikidata":"https://www.wikidata.org/wiki/Q658700","display_name":"Reaction rate constant","level":3,"score":0.10360392928123474},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.23919/ecc.2013.6669587","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2013.6669587","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 European Control Conference (ECC)","raw_type":"proceedings-article"},{"id":"pmh:oai:pure.rug.nl:openaire_cris_publications/1d9de5ae-c7d6-40f9-8866-72daaccd9f48","is_oa":false,"landing_page_url":"https://research.rug.nl/en/publications/1d9de5ae-c7d6-40f9-8866-72daaccd9f48","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Rao, S, Schaft, A V D, Eunen, K V, Bakker, B M & Jayawardhana, B 2013, Model-order reduction of biochemical reaction networks. in Proceedings of the 2013 European Control Conference. European Union Control Association, pp. 4502-4507, 2013 European Control Conference (ECC), Z\u00fcrich, Switzerland, 17/07/2013.","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:archive.ugent.be:6990076","is_oa":false,"landing_page_url":"https://biblio.ugent.be/publication/6990076","pdf_url":null,"source":{"id":"https://openalex.org/S4306400478","display_name":"Ghent University Academic Bibliography (Ghent University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I32597200","host_organization_name":"Ghent University","host_organization_lineage":["https://openalex.org/I32597200"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISBN: 9783033039629","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:pure.rug.nl:openaire_cris_publications/1d9de5ae-c7d6-40f9-8866-72daaccd9f48","is_oa":true,"landing_page_url":"https://hdl.handle.net/11370/1d9de5ae-c7d6-40f9-8866-72daaccd9f48","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Rao, S, Schaft, A V D, Eunen, K V, Bakker, B M & Jayawardhana, B 2013, Model-order reduction of biochemical reaction networks. in Proceedings of the 2013 European Control Conference. European Union Control Association, pp. 4502-4507, 2013 European Control Conference (ECC), Z\u00fcrich, Switzerland, 17/07/2013. https://doi.org/10.23919/ecc.2013.6669587","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:pure.rug.nl:openaire_cris_publications/1d9de5ae-c7d6-40f9-8866-72daaccd9f48","is_oa":true,"landing_page_url":"https://hdl.handle.net/11370/1d9de5ae-c7d6-40f9-8866-72daaccd9f48","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Rao, S, Schaft, A V D, Eunen, K V, Bakker, B M & Jayawardhana, B 2013, Model-order reduction of biochemical reaction networks. in Proceedings of the 2013 European Control Conference. European Union Control Association, pp. 4502-4507, 2013 European Control Conference (ECC), Z\u00fcrich, Switzerland, 17/07/2013. https://doi.org/10.23919/ecc.2013.6669587","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W2008165489","https://openalex.org/W2025569385","https://openalex.org/W2033198230","https://openalex.org/W2036546758","https://openalex.org/W2049904136","https://openalex.org/W2057685234","https://openalex.org/W2058492355","https://openalex.org/W2094781369","https://openalex.org/W2102078392","https://openalex.org/W2138278836","https://openalex.org/W2143151266","https://openalex.org/W2165372860","https://openalex.org/W2169275901","https://openalex.org/W2952582911"],"related_works":["https://openalex.org/W2356387371","https://openalex.org/W3178096653","https://openalex.org/W4306248639","https://openalex.org/W2093505594","https://openalex.org/W4226137894","https://openalex.org/W4309067741","https://openalex.org/W3213513741","https://openalex.org/W2025011014","https://openalex.org/W2350495909","https://openalex.org/W2039821284"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"propose":[4],"a":[5,56,70],"model-order":[6,25],"reduction":[7,26,33],"method":[8,27,54],"for":[9],"chemical":[10,48],"reaction":[11,49],"networks":[12],"governed":[13],"by":[14],"general":[15],"enzyme":[16],"kinetics,":[17],"including":[18],"the":[19,31,35,41,47,61,66,76,86],"mass-action":[20],"and":[21],"Michaelis-Menten":[22],"kinetics.":[23],"The":[24],"is":[28,79],"based":[29],"on":[30],"Kron":[32],"of":[34,44,69,72,75,85],"weighted":[36],"Laplacian":[37],"matrix":[38],"which":[39],"describes":[40],"graph":[42],"structure":[43],"complexes":[45],"in":[46,80],"network.":[50],"We":[51],"apply":[52],"our":[53],"to":[55],"yeast":[57],"glycolysis":[58],"model,":[59],"where":[60],"simulation":[62],"result":[63],"shows":[64],"that":[65],"transient":[67],"behaviour":[68],"number":[71],"key":[73],"metabolites":[74],"reduced-order":[77],"model":[78],"good":[81],"agreement":[82],"with":[83],"those":[84],"full-order":[87],"model.":[88]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}