{"id":"https://openalex.org/W3214529477","doi":"https://doi.org/10.1137/19m1301928","title":"Accuracy of Multiscale Reduction for Stochastic Reaction Systems","display_name":"Accuracy of Multiscale Reduction for Stochastic Reaction Systems","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3214529477","doi":"https://doi.org/10.1137/19m1301928","mag":"3214529477"},"language":"en","primary_location":{"id":"doi:10.1137/19m1301928","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1301928","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"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":"Multiscale Modeling &amp; Simulation","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/A5032028160","display_name":"Germ\u00e1n Enciso","orcid":"https://orcid.org/0000-0001-8908-9539"},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"German Enciso","raw_affiliation_strings":["Department of Mathematics, University of California, Irvine, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, Irvine, USA","institution_ids":["https://openalex.org/I204250578"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100746301","display_name":"Jinsu Kim","orcid":"https://orcid.org/0000-0001-9278-0881"},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jinsu Kim","raw_affiliation_strings":["Department of Mathematics, University of California, Irvine, USA"],"raw_orcid":"https://orcid.org/0000-0001-9278-0881","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, Irvine, USA","institution_ids":["https://openalex.org/I204250578"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5032028160"],"corresponding_institution_ids":["https://openalex.org/I204250578"],"apc_list":null,"apc_paid":null,"fwci":0.244,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.54100631,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"19","issue":"4","first_page":"1633","last_page":"1658"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.996399998664856,"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":0.996399998664856,"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":0.984499990940094,"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/T13539","display_name":"thermodynamics and calorimetric analyses","score":0.9627000093460083,"subfield":{"id":"https://openalex.org/subfields/1606","display_name":"Physical and Theoretical Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6471081376075745},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.6341307759284973},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5061652064323425},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4034165143966675},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3358720541000366},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.33499467372894287},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.32846295833587646},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1622060239315033},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.0720844566822052}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6471081376075745},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.6341307759284973},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5061652064323425},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4034165143966675},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3358720541000366},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.33499467372894287},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.32846295833587646},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1622060239315033},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0720844566822052},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/19m1301928","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1301928","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"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":"Multiscale Modeling &amp; Simulation","raw_type":"journal-article"},{"id":"pmh:oai:oasis.postech.ac.kr:2014.oak/108383","is_oa":false,"landing_page_url":"https://oasis.postech.ac.kr/handle/2014.oak/108383","pdf_url":null,"source":{"id":"https://openalex.org/S4306401965","display_name":"Open Access System for Information Sharing (Pohang University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I123900574","host_organization_name":"Pohang University of Science and Technology","host_organization_lineage":["https://openalex.org/I123900574"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2625477140","display_name":null,"funder_award_id":"DMS1616233","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6319371758","display_name":null,"funder_award_id":"DMS51763272","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G986754019","display_name":null,"funder_award_id":"594598","funder_id":"https://openalex.org/F4320306164","funder_display_name":"Simons Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306164","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1964444128","https://openalex.org/W1976443948","https://openalex.org/W1983663927","https://openalex.org/W1986351199","https://openalex.org/W1997982531","https://openalex.org/W2002919709","https://openalex.org/W2010114834","https://openalex.org/W2021290840","https://openalex.org/W2031001038","https://openalex.org/W2073148112","https://openalex.org/W2115354930","https://openalex.org/W2127535453","https://openalex.org/W2131942680","https://openalex.org/W2150519862","https://openalex.org/W2155418451","https://openalex.org/W2159875969","https://openalex.org/W2342013908","https://openalex.org/W2468559033","https://openalex.org/W2607621829","https://openalex.org/W2609780203","https://openalex.org/W2622490204","https://openalex.org/W2914396832","https://openalex.org/W2963640910","https://openalex.org/W3025050740","https://openalex.org/W3025592486","https://openalex.org/W3044375022","https://openalex.org/W3045521263","https://openalex.org/W3097995899","https://openalex.org/W3101205262","https://openalex.org/W3101756029","https://openalex.org/W3103119386","https://openalex.org/W3104757869","https://openalex.org/W3106372989","https://openalex.org/W3125096507"],"related_works":["https://openalex.org/W2532234348","https://openalex.org/W1517908938","https://openalex.org/W108084911","https://openalex.org/W2393440248","https://openalex.org/W2673314300","https://openalex.org/W1569386110","https://openalex.org/W2720892868","https://openalex.org/W2982169251","https://openalex.org/W2103406007","https://openalex.org/W2252127188"],"abstract_inverted_index":{"Stochastic":[0],"models":[1,50],"of":[2,32,69,82,142],"chemical":[3,20],"reaction":[4,23,27,89],"networks":[5],"are":[6,110],"an":[7,98],"important":[8],"tool":[9],"to":[10,124,148],"describe":[11],"and":[12,22],"analyze":[13],"noise":[14],"effects":[15],"in":[16,25,41,86,131,146,151],"cell":[17],"biology.":[18],"When":[19],"species":[21,85],"rates":[24],"a":[26,42,55,92,139],"system":[28,37,57],"have":[29],"different":[30],"orders":[31],"magnitude,":[33],"the":[34,67,70,79,105,118,132,143,152],"associated":[35],"stochastic":[36,88],"is":[38,46,136],"often":[39],"modeled":[40],"multiscale":[43,49,87],"regime.":[44],"It":[45],"known":[47],"that":[48,117],"can":[51,121],"be":[52,122],"approximated":[53],"with":[54],"reduced":[56],"such":[58],"as":[59],"mean":[60],"field":[61],"dynamics":[62],"or":[63],"hybrid":[64],"systems,":[65],"but":[66,113],"accuracy":[68],"approximation":[71],"remains":[72],"unknown.":[73],"In":[74],"this":[75,102],"paper,":[76,106],"we":[77,114],"estimate":[78],"probability":[80],"distribution":[81],"low":[83],"copy":[84],"systems":[90,109],"under":[91],"short":[93],"timescale.":[94],"We":[95],"also":[96,115],"establish":[97],"error":[99],"bound":[100],"for":[101],"approximation.":[103],"Throughout":[104],"typical":[107],"mass-action":[108],"mainly":[111],"handled,":[112],"show":[116],"main":[119],"theorem":[120],"extended":[123],"general":[125],"kinetics,":[126],"which":[127],"generalizes":[128],"existing":[129,153],"results":[130],"literature.":[133,154],"Our":[134],"approach":[135],"based":[137],"on":[138],"direct":[140],"analysis":[141],"Kolmogorov":[144],"equation,":[145],"contrast":[147],"classical":[149],"approaches":[150]},"counts_by_year":[{"year":2023,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
