{"id":"https://openalex.org/W2804272026","doi":"https://doi.org/10.1109/lcsys.2018.2869639","title":"Bounding Transient Moments of Stochastic Chemical Reactions","display_name":"Bounding Transient Moments of Stochastic Chemical Reactions","publication_year":2018,"publication_date":"2018-09-12","ids":{"openalex":"https://openalex.org/W2804272026","doi":"https://doi.org/10.1109/lcsys.2018.2869639","mag":"2804272026"},"language":"en","primary_location":{"id":"doi:10.1109/lcsys.2018.2869639","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2018.2869639","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Control Systems Letters","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1805.07098","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Yuta Sakurai","orcid":"https://orcid.org/0000-0001-9754-7253"},"institutions":[{"id":"https://openalex.org/I203951103","display_name":"Keio University","ror":"https://ror.org/02kn6nx58","country_code":"JP","type":"education","lineage":["https://openalex.org/I203951103"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Yuta Sakurai","raw_affiliation_strings":["Keio Gijuku Daigaku, Minato-ku, Tokyo, JP"],"affiliations":[{"raw_affiliation_string":"Keio Gijuku Daigaku, Minato-ku, Tokyo, JP","institution_ids":["https://openalex.org/I203951103"]}]},{"author_position":"last","author":{"id":null,"display_name":"Yutaka Hori","orcid":"https://orcid.org/0000-0002-3253-4985"},"institutions":[{"id":"https://openalex.org/I203951103","display_name":"Keio University","ror":"https://ror.org/02kn6nx58","country_code":"JP","type":"education","lineage":["https://openalex.org/I203951103"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yutaka Hori","raw_affiliation_strings":["Keio Gijuku Daigaku, Minato-ku, Tokyo, JP"],"affiliations":[{"raw_affiliation_string":"Keio Gijuku Daigaku, Minato-ku, Tokyo, JP","institution_ids":["https://openalex.org/I203951103"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I203951103"],"apc_list":null,"apc_paid":null,"fwci":0.4639,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.62948387,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"3","issue":"2","first_page":"290","last_page":"295"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.6700999736785889,"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":0.6700999736785889,"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.07000000029802322,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.050999999046325684,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/moment","display_name":"Moment (physics)","score":0.7577999830245972},{"id":"https://openalex.org/keywords/bounding-overwatch","display_name":"Bounding overwatch","score":0.743399977684021},{"id":"https://openalex.org/keywords/transient","display_name":"Transient (computer programming)","score":0.694599986076355},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5533999800682068},{"id":"https://openalex.org/keywords/master-equation","display_name":"Master equation","score":0.462799996137619},{"id":"https://openalex.org/keywords/moment-problem","display_name":"Moment problem","score":0.4066999852657318},{"id":"https://openalex.org/keywords/mathematical-induction","display_name":"Mathematical induction","score":0.3856000006198883},{"id":"https://openalex.org/keywords/method-of-moments","display_name":"Method of moments (probability theory)","score":0.36480000615119934}],"concepts":[{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.7577999830245972},{"id":"https://openalex.org/C63584917","wikidata":"https://www.wikidata.org/wiki/Q333286","display_name":"Bounding overwatch","level":2,"score":0.743399977684021},{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.694599986076355},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5679000020027161},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5537999868392944},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5533999800682068},{"id":"https://openalex.org/C128805008","wikidata":"https://www.wikidata.org/wiki/Q722878","display_name":"Master equation","level":3,"score":0.462799996137619},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.413100004196167},{"id":"https://openalex.org/C4285052","wikidata":"https://www.wikidata.org/wiki/Q3406268","display_name":"Moment problem","level":3,"score":0.4066999852657318},{"id":"https://openalex.org/C206743973","wikidata":"https://www.wikidata.org/wiki/Q178377","display_name":"Mathematical induction","level":2,"score":0.3856000006198883},{"id":"https://openalex.org/C2780033567","wikidata":"https://www.wikidata.org/wiki/Q6823720","display_name":"Method of moments (probability theory)","level":3,"score":0.36480000615119934},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.34790000319480896},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.34459999203681946},{"id":"https://openalex.org/C61062188","wikidata":"https://www.wikidata.org/wiki/Q835065","display_name":"Second moment of area","level":2,"score":0.3440999984741211},{"id":"https://openalex.org/C124223222","wikidata":"https://www.wikidata.org/wiki/Q2281940","display_name":"Chemical process","level":2,"score":0.2842999994754791},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.2773999869823456},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.2720000147819519},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.2540999948978424},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2524999976158142},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.2508000135421753}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/lcsys.2018.2869639","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2018.2869639","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Control Systems Letters","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1805.07098","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1805.07098","pdf_url":"https://arxiv.org/pdf/1805.07098","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1805.07098","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1805.07098","pdf_url":"https://arxiv.org/pdf/1805.07098","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1484695478","https://openalex.org/W1753309339","https://openalex.org/W1967073510","https://openalex.org/W2042321087","https://openalex.org/W2045490693","https://openalex.org/W2046451925","https://openalex.org/W2066594542","https://openalex.org/W2077139816","https://openalex.org/W2080739873","https://openalex.org/W2084924279","https://openalex.org/W2085061065","https://openalex.org/W2086516457","https://openalex.org/W2121476007","https://openalex.org/W2126419237","https://openalex.org/W2130278727","https://openalex.org/W2134759932","https://openalex.org/W2155202381","https://openalex.org/W2405531059","https://openalex.org/W2607621829","https://openalex.org/W2607727173","https://openalex.org/W2727980082","https://openalex.org/W2755713567","https://openalex.org/W2767301381","https://openalex.org/W2786311729","https://openalex.org/W2788245145","https://openalex.org/W4250589301","https://openalex.org/W4254742099","https://openalex.org/W6910504993"],"related_works":[],"abstract_inverted_index":{"The":[0,115],"predictive":[1],"ability":[2],"of":[3,13,34,42,51,78,90,111],"stochastic":[4],"chemical":[5,20],"reactions":[6,46],"is":[7,72,118,125],"currently":[8],"limited":[9],"by":[10,48],"the":[11,18,49,66,87,91,94,109],"lack":[12],"closed":[14],"form":[15],"solutions":[16],"to":[17,85,130],"governing":[19],"master":[21],"equation.":[22,68,95],"To":[23],"overcome":[24],"this":[25,27,70],"limitation,":[26],"letter":[28],"proposes":[29],"a":[30,76,101],"computational":[31],"method":[32,117],"capable":[33],"predicting":[35],"mathematically":[36],"rigorous":[37],"upper":[38],"and":[39,106,124,133],"lower":[40],"bounds":[41,110],"transient":[43,60,112],"moments":[44,61],"for":[45],"governed":[47],"law":[50],"mass":[52],"action.":[53],"We":[54],"first":[55],"derive":[56],"an":[57],"equation":[58,71],"that":[59,104],"must":[62],"satisfy":[63],"based":[64],"on":[65],"moment":[67,83,113],"Although":[69],"underdetermined,":[73],"we":[74,99],"introduce":[75],"set":[77,89],"semidefinite":[79,102],"constraints":[80],"known":[81],"as":[82],"condition":[84],"narrow":[86],"feasible":[88],"variables":[92],"in":[93],"Using":[96],"these":[97],"conditions,":[98],"formulate":[100],"program":[103],"efficiently":[105],"rigorously":[107],"computes":[108],"dynamics.":[114],"proposed":[116],"demonstrated":[119],"with":[120,127],"illustrative":[121],"numerical":[122],"examples":[123],"compared":[126],"related":[128],"works":[129],"discuss":[131],"advantages":[132],"limitations.":[134]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2018-06-01T00:00:00"}
