{"id":"https://openalex.org/W4320490240","doi":"https://doi.org/10.1137/22m1476113","title":"Modeling and Optimal Control of a Two-Species Bioproducing Microbial Consortium","display_name":"Modeling and Optimal Control of a Two-Species Bioproducing Microbial Consortium","publication_year":2023,"publication_date":"2023-02-13","ids":{"openalex":"https://openalex.org/W4320490240","doi":"https://doi.org/10.1137/22m1476113"},"language":"en","primary_location":{"id":"doi:10.1137/22m1476113","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1137/22m1476113","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/A5032806448","display_name":"Davin Lunz","orcid":"https://orcid.org/0000-0002-1603-0840"},"institutions":[{"id":"https://openalex.org/I4387153051","display_name":"INBIO : M\u00e9thodes exp\u00e9rimentales et computationnelles pour la mod\u00e9lisation des processus cellulaires","ror":"https://ror.org/01tnxwc41","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I157536573","https://openalex.org/I204730241","https://openalex.org/I4387153051","https://openalex.org/I4405257605"]},{"id":"https://openalex.org/I157536573","display_name":"Institut Pasteur","ror":"https://ror.org/0495fxg12","country_code":"FR","type":"nonprofit","lineage":["https://openalex.org/I157536573"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Davin Lunz","raw_affiliation_strings":["Inria Paris, 75012 Paris, France, and Institut Pasteur, 75015 Paris, France","INBIO - InBio  - M\u00e9thodes Exp\u00e9rimentales et Computationnelles pour la Mod\u00e9lisation des Processus Cellulaires /  Experimental and Computational Methods for Modeling Cellular Processes (D\u00e9partement Biologie Computationnelle\r\n25-28 rue du Docteur Roux\r\n75724 Paris cedex 15 - France)","IP - Institut Pasteur [Paris] (25-28, rue du docteur Roux, 75724 Paris cedex 15 - France)"],"affiliations":[{"raw_affiliation_string":"Inria Paris, 75012 Paris, France, and Institut Pasteur, 75015 Paris, France","institution_ids":[]},{"raw_affiliation_string":"INBIO - InBio  - M\u00e9thodes Exp\u00e9rimentales et Computationnelles pour la Mod\u00e9lisation des Processus Cellulaires /  Experimental and Computational Methods for Modeling Cellular Processes (D\u00e9partement Biologie Computationnelle\r\n25-28 rue du Docteur Roux\r\n75724 Paris cedex 15 - France)","institution_ids":["https://openalex.org/I4387153051"]},{"raw_affiliation_string":"IP - Institut Pasteur [Paris] (25-28, rue du docteur Roux, 75724 Paris cedex 15 - France)","institution_ids":["https://openalex.org/I157536573"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076843972","display_name":"J. Fr\u00e9d\u00e9ric Bonnans","orcid":"https://orcid.org/0000-0003-0988-9865"},"institutions":[{"id":"https://openalex.org/I4210107720","display_name":"CentraleSup\u00e9lec","ror":"https://ror.org/019tcpt25","country_code":"FR","type":"facility","lineage":["https://openalex.org/I277688954","https://openalex.org/I4210107720"]},{"id":"https://openalex.org/I4210097418","display_name":"Laboratoire des signaux et syst\u00e8mes","ror":"https://ror.org/00skw9v43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210097418","https://openalex.org/I4210107720"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"J. Fr\u00e9d\u00e9ric Bonnans","raw_affiliation_strings":["Universit\u00e9 Paris-Saclay, CNRS, CentraleSup\u00e9lec, Inria, Laboratory of Signals and Systems, 91190, Gif-sur-Yvette, France","L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)","DISCO - Dynamical Interconnected Systems in COmplex Environments (CentraleSupelec 3 rue Joliot-Curie 91192 Gif-sur-Yvette cedex - France)"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Paris-Saclay, CNRS, CentraleSup\u00e9lec, Inria, Laboratory of Signals and Systems, 91190, Gif-sur-Yvette, France","institution_ids":[]},{"raw_affiliation_string":"L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)","institution_ids":["https://openalex.org/I4210097418"]},{"raw_affiliation_string":"DISCO - Dynamical Interconnected Systems in COmplex Environments (CentraleSupelec 3 rue Joliot-Curie 91192 Gif-sur-Yvette cedex - France)","institution_ids":["https://openalex.org/I4210107720"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5032806448"],"corresponding_institution_ids":["https://openalex.org/I157536573","https://openalex.org/I4387153051"],"apc_list":null,"apc_paid":null,"fwci":0.159,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.5650028,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"83","issue":"1","first_page":"144","last_page":"171"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9991999864578247,"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":0.9991999864578247,"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":0.9976999759674072,"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/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9912999868392944,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6487873792648315},{"id":"https://openalex.org/keywords/parameter-space","display_name":"Parameter space","score":0.6373676657676697},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.5905820727348328},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5850031971931458},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5607882738113403},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.4832664132118225},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.45426905155181885},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.4392378032207489},{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.4132886826992035},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3882039189338684},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.34058457612991333},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2561361789703369}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6487873792648315},{"id":"https://openalex.org/C73586568","wikidata":"https://www.wikidata.org/wiki/Q2600211","display_name":"Parameter space","level":2,"score":0.6373676657676697},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5905820727348328},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5850031971931458},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5607882738113403},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.4832664132118225},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.45426905155181885},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.4392378032207489},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.4132886826992035},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3882039189338684},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.34058457612991333},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2561361789703369},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/22m1476113","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1137/22m1476113","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"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/15","score":0.6100000143051147,"display_name":"Life in Land"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1973943921","https://openalex.org/W1998240064","https://openalex.org/W2042321087","https://openalex.org/W2056571344","https://openalex.org/W2060088282","https://openalex.org/W2068728923","https://openalex.org/W2085061065","https://openalex.org/W2086516457","https://openalex.org/W2115606218","https://openalex.org/W2123871098","https://openalex.org/W2135783707","https://openalex.org/W2155418451","https://openalex.org/W2161466984","https://openalex.org/W2191571534","https://openalex.org/W2842089854","https://openalex.org/W2896963233","https://openalex.org/W2913199358","https://openalex.org/W2920434183","https://openalex.org/W3009326905","https://openalex.org/W3015362409","https://openalex.org/W3082002174","https://openalex.org/W3102171244","https://openalex.org/W3126121296","https://openalex.org/W3135791089","https://openalex.org/W3160173019","https://openalex.org/W3186067339","https://openalex.org/W3200688828","https://openalex.org/W3203978702","https://openalex.org/W4220884980","https://openalex.org/W4283330153"],"related_works":["https://openalex.org/W3082668976","https://openalex.org/W2517973022","https://openalex.org/W1543121148","https://openalex.org/W1580703421","https://openalex.org/W2996841952","https://openalex.org/W2618518959","https://openalex.org/W2231364979","https://openalex.org/W4295745414","https://openalex.org/W4288093367","https://openalex.org/W4382202915"],"abstract_inverted_index":{".Motivated":[0],"by":[1,67],"recent":[2],"laboratory":[3],"experiments,":[4],"we":[5,23,58,87],"study":[6],"microbial":[7,17,34],"populations":[8],"with":[9,37],"light-inducible":[10],"genetic":[11],"differentiation":[12],"that":[13,121,127,135],"generates":[14],"a":[15,25,74,105,124,129,136,147],"two-species":[16],"consortium":[18],"relevant":[19],"for":[20,111],"bioproduction.":[21],"First,":[22],"derive":[24],"hierarchy":[26],"of":[27,32,51,72,77,96,107,114,139],"models":[28,52],"describing":[29],"the":[30,33,45,60,63,69,97,112,140],"evolution":[31],"populations,":[35],"each":[36],"decreasing":[38],"complexity.":[39],"This":[40],"sequential":[41],"order":[42,64],"reduction":[43,65],"reveals":[44],"connections":[46],"between":[47],"several":[48],"popular":[49],"classes":[50],"used":[53],"in":[54,104,146],"this":[55],"context.":[56],"Second,":[57],"demonstrate":[59],"analytical":[61,158],"insight":[62],"provides":[66],"studying":[68],"optimal":[70,90],"control":[71,91],"such":[73],"reduced-order":[75],"system":[76],"nonlinear":[78],"ordinary":[79],"differential":[80],"equations.":[81],"Appealing":[82],"to":[83],"Pontryagin's":[84],"maximum":[85],"principle,":[86],"find":[88],"different":[89,94],"structures":[92],"within":[93],"regions":[95],"parameter":[98,108,115],"space.":[99],"Explicit":[100],"solutions":[101,118],"are":[102,119,160],"obtained":[103,120],"subset":[106],"space,":[109,116],"while,":[110],"remainder":[113],"closed-form":[117],"depend":[122],"on":[123],"scalar":[125,141],"value":[126],"solves":[128],"particular":[130],"transcendental":[131],"equation.":[132],"We":[133],"show":[134],"unique":[137],"solution":[138],"equation":[142],"exists":[143],"and":[144],"lies":[145],"known":[148],"compact":[149],"interval,":[150],"making":[151],"its":[152],"numerical":[153,164],"approximation":[154],"particularly":[155],"easy.":[156],"The":[157],"results":[159],"verified":[161],"against":[162],"direct":[163],"calculations.Keywordsmicrobial":[165],"consortiabioengineeringoptimal":[166],"controlmathematical":[167],"modelingMSC":[168],"codes92-1093C1534H0549K15":[169]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-12-21T23:12:01.093139","created_date":"2025-10-10T00:00:00"}