{"id":"https://openalex.org/W2288543822","doi":"https://doi.org/10.1109/cdc.2015.7402384","title":"On the use of hyperplane methods to compute the reachable set of controlled stochastic biochemical reaction networks","display_name":"On the use of hyperplane methods to compute the reachable set of controlled stochastic biochemical reaction networks","publication_year":2015,"publication_date":"2015-12-01","ids":{"openalex":"https://openalex.org/W2288543822","doi":"https://doi.org/10.1109/cdc.2015.7402384","mag":"2288543822"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2015.7402384","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2015.7402384","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 54th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-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/A5045020084","display_name":"Francesca Parise","orcid":"https://orcid.org/0000-0003-0650-4392"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Francesca Parise","raw_affiliation_strings":["ETH, Automatic Control Laboratory, Zurich"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ETH, Automatic Control Laboratory, Zurich","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064493313","display_name":"Maria Elena Valcher","orcid":"https://orcid.org/0000-0002-7595-3688"},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Maria Elena Valcher","raw_affiliation_strings":["Universita degli Studi di Padova, Padova, Veneto, IT"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universita degli Studi di Padova, Padova, Veneto, IT","institution_ids":["https://openalex.org/I138689650"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007359599","display_name":"John Lygeros","orcid":"https://orcid.org/0000-0002-6159-1962"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"John Lygeros","raw_affiliation_strings":["ETH, Automatic Control Laboratory, Zurich"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ETH, Automatic Control Laboratory, Zurich","institution_ids":["https://openalex.org/I35440088"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3012,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.63388761,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"94","issue":null,"first_page":"1259","last_page":"1264"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":1.0,"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":1.0,"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":0.9990000128746033,"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/T10887","display_name":"Bioinformatics and Genomic Networks","score":0.9900000095367432,"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/hyperplane","display_name":"Hyperplane","score":0.8957854509353638},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6860247850418091},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5925240516662598},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5661597847938538},{"id":"https://openalex.org/keywords/variance","display_name":"Variance (accounting)","score":0.49198099970817566},{"id":"https://openalex.org/keywords/feature","display_name":"Feature (linguistics)","score":0.47412872314453125},{"id":"https://openalex.org/keywords/expression","display_name":"Expression (computer science)","score":0.4510780870914459},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.43638020753860474},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4269223213195801},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36760634183883667},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.14695954322814941}],"concepts":[{"id":"https://openalex.org/C68693459","wikidata":"https://www.wikidata.org/wiki/Q657586","display_name":"Hyperplane","level":2,"score":0.8957854509353638},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6860247850418091},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5925240516662598},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5661597847938538},{"id":"https://openalex.org/C196083921","wikidata":"https://www.wikidata.org/wiki/Q7915758","display_name":"Variance (accounting)","level":2,"score":0.49198099970817566},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.47412872314453125},{"id":"https://openalex.org/C90559484","wikidata":"https://www.wikidata.org/wiki/Q778379","display_name":"Expression (computer science)","level":2,"score":0.4510780870914459},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43638020753860474},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4269223213195801},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36760634183883667},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.14695954322814941},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","level":1,"score":0.0},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2015.7402384","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2015.7402384","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 54th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:www.research.unipd.it:11577/3188335","is_oa":false,"landing_page_url":"http://hdl.handle.net/11577/3188335","pdf_url":null,"source":{"id":"https://openalex.org/S4306402547","display_name":"Padua Research Archive (University of Padova)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138689650","host_organization_name":"University of Padua","host_organization_lineage":["https://openalex.org/I138689650"],"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":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Life in Land","score":0.6499999761581421,"id":"https://metadata.un.org/sdg/15"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1484739396","https://openalex.org/W1499965417","https://openalex.org/W1503248986","https://openalex.org/W1532361198","https://openalex.org/W1535517661","https://openalex.org/W1538215585","https://openalex.org/W1578936488","https://openalex.org/W1582899597","https://openalex.org/W1970801021","https://openalex.org/W1973960290","https://openalex.org/W1991780313","https://openalex.org/W1991858115","https://openalex.org/W1993112505","https://openalex.org/W1994794118","https://openalex.org/W2049491928","https://openalex.org/W2066594542","https://openalex.org/W2076367743","https://openalex.org/W2085061065","https://openalex.org/W2094052071","https://openalex.org/W2106411386","https://openalex.org/W2127520982","https://openalex.org/W2141881497","https://openalex.org/W2158912722","https://openalex.org/W2164741971","https://openalex.org/W2962982708","https://openalex.org/W3135791089","https://openalex.org/W3188953039","https://openalex.org/W4205814206","https://openalex.org/W6799235307"],"related_works":["https://openalex.org/W2369655046","https://openalex.org/W2019467317","https://openalex.org/W1585519779","https://openalex.org/W1965515989","https://openalex.org/W2088737283","https://openalex.org/W1999587863","https://openalex.org/W1929902734","https://openalex.org/W3104474499","https://openalex.org/W4376167435","https://openalex.org/W2042783797"],"abstract_inverted_index":{"A":[0,78],"fundamental":[1],"question":[2],"in":[3,22,169],"the":[4,19,23,29,57,67,71,75,94,105,108,121,137,140,146,153,157,170],"study":[5],"of":[6,14,18,66,70,81,93,99,101,107,123,152],"stochastic":[7],"biochemical":[8],"reaction":[9],"networks":[10,47],"is":[11,84],"what":[12],"values":[13],"mean":[15,159],"and":[16,50,63,139,160,172],"variance":[17],"species":[20,100],"present":[21],"network":[24],"are":[25,163,174],"obtainable":[26],"by":[27],"perturbing":[28],"system":[30,73],"with":[31,176],"an":[32],"external":[33],"input.":[34],"Here,":[35],"we":[36,55,126],"propose":[37],"a":[38,128],"computationally":[39],"efficient":[40],"technique":[41],"to":[42,60,89,150],"answer":[43],"this":[44,82,124],"question,":[45],"for":[46,97,116,156],"involving":[48,134],"zero":[49],"first":[51],"order":[52],"reactions.":[53],"Specifically,":[54],"adopt":[56],"hyperplane":[58],"method":[59,125],"compute":[61,91],"inner":[62],"outer":[64],"approximations":[65],"reachable":[68,95,110,154],"set":[69,96],"linear":[72],"describing":[74],"moments":[76],"evolution.":[77],"remarkable":[79],"feature":[80],"approach":[83,148],"that":[85,145,162,173],"it":[86],"allows":[87],"one":[88],"easily":[90],"projections":[92],"pairs":[98],"interest,":[102],"without":[103],"requiring":[104],"computation":[106],"full":[109],"set,":[111,155],"which":[112],"can":[113],"be":[114],"prohibitive":[115],"large":[117],"networks.":[118],"To":[119],"illustrate":[120],"benefits":[122],"consider":[127],"standard":[129],"controlled":[130],"gene":[131],"expression":[132],"model":[133],"two":[135],"species:":[136],"mRNA":[138],"corresponding":[141],"protein.":[142],"We":[143],"verify":[144],"proposed":[147],"leads":[149],"estimates":[151],"protein":[158],"variance,":[161],"more":[164],"accurate":[165],"than":[166],"those":[167],"available":[168],"literature":[171],"consistent":[175],"experimental":[177],"data.":[178]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}