{"id":"https://openalex.org/W2124207684","doi":"https://doi.org/10.1109/cdc.2005.1583116","title":"Dynamical Analysis of a Tubular Biochemical Reactor Infinite-Dimensional Nonlinear Model","display_name":"Dynamical Analysis of a Tubular Biochemical Reactor Infinite-Dimensional Nonlinear Model","publication_year":2006,"publication_date":"2006-10-04","ids":{"openalex":"https://openalex.org/W2124207684","doi":"https://doi.org/10.1109/cdc.2005.1583116","mag":"2124207684"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2005.1583116","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2005.1583116","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 44th IEEE Conference on Decision and Control","raw_type":"proceedings-article"},"type":"conference-paper","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/A5050465894","display_name":"Mohamed Laabissi","orcid":"https://orcid.org/0000-0001-8287-1034"},"institutions":[{"id":"https://openalex.org/I4210125507","display_name":"Chouaib Doukkali University","ror":"https://ror.org/036kgyt43","country_code":"MA","type":"education","lineage":["https://openalex.org/I4210125507"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"M. Laabissi","raw_affiliation_strings":["Facult\u00e9 des Sciences, Laboratoire dIng\u00e9nierie Math\u00e9matique, (LINMA), Universit\u00e9 Chouaib Doukkali, El Jadida, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Facult\u00e9 des Sciences, Laboratoire dIng\u00e9nierie Math\u00e9matique, (LINMA), Universit\u00e9 Chouaib Doukkali, El Jadida, Morocco","institution_ids":["https://openalex.org/I4210125507"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022463640","display_name":"Joseph J. Winkin","orcid":"https://orcid.org/0000-0002-1283-2889"},"institutions":[{"id":"https://openalex.org/I149768937","display_name":"University of Namur","ror":"https://ror.org/03d1maw17","country_code":"BE","type":"education","lineage":["https://openalex.org/I149768937"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"J.J. Winkin","raw_affiliation_strings":["Department of Mathematics, University of Namur-FUNDP, Namur, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Namur-FUNDP, Namur, Belgium","institution_ids":["https://openalex.org/I149768937"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024190334","display_name":"Denis Dochain","orcid":"https://orcid.org/0000-0001-5206-7352"},"institutions":[{"id":"https://openalex.org/I95674353","display_name":"UCLouvain","ror":"https://ror.org/02495e989","country_code":"BE","type":"education","lineage":["https://openalex.org/I95674353"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"D. Dochain","raw_affiliation_strings":["CESAME, Universit\u00e9 Catholique de Louvain, Louvain-la-Neuve, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CESAME, Universit\u00e9 Catholique de Louvain, Louvain-la-Neuve, Belgium","institution_ids":["https://openalex.org/I95674353"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077693630","display_name":"Mohammed Elarbi Achhab","orcid":"https://orcid.org/0000-0003-4361-4347"},"institutions":[{"id":"https://openalex.org/I4210125507","display_name":"Chouaib Doukkali University","ror":"https://ror.org/036kgyt43","country_code":"MA","type":"education","lineage":["https://openalex.org/I4210125507"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"M.E. Achhab","raw_affiliation_strings":["Facult\u00e9 des Sciences, Laboratoire dIng\u00e9nierie Math\u00e9matique, (LINMA), Universit\u00e9 Chouaib Doukkali, El Jadida, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Facult\u00e9 des Sciences, Laboratoire dIng\u00e9nierie Math\u00e9matique, (LINMA), Universit\u00e9 Chouaib Doukkali, El Jadida, Morocco","institution_ids":["https://openalex.org/I4210125507"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.677,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.81714753,"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":"5965","last_page":"5970"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.961899995803833,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.961899995803833,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12688","display_name":"Microbial metabolism and enzyme function","score":0.9613000154495239,"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":0.9488000273704529,"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/nonlinear-dynamical-systems","display_name":"Nonlinear dynamical systems","score":0.6770387291908264},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5991395711898804},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40219125151634216},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3985099792480469},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3750884234905243},{"id":"https://openalex.org/keywords/biological-system","display_name":"Biological system","score":0.32896357774734497},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3208576738834381},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3045395314693451},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11836409568786621},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.0983264148235321},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.07026645541191101}],"concepts":[{"id":"https://openalex.org/C2983030100","wikidata":"https://www.wikidata.org/wiki/Q638328","display_name":"Nonlinear dynamical systems","level":3,"score":0.6770387291908264},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5991395711898804},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40219125151634216},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3985099792480469},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3750884234905243},{"id":"https://openalex.org/C186060115","wikidata":"https://www.wikidata.org/wiki/Q30336093","display_name":"Biological system","level":1,"score":0.32896357774734497},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3208576738834381},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3045395314693451},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11836409568786621},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0983264148235321},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.07026645541191101},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/cdc.2005.1583116","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2005.1583116","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 44th IEEE Conference on Decision and Control","raw_type":"proceedings-article"},{"id":"pmh:oai:dial.uclouvain.be:boreal:89696","is_oa":false,"landing_page_url":"http://hdl.handle.net/2078.1/89696","pdf_url":null,"source":{"id":"https://openalex.org/S4306401902","display_name":"Digital Access to Libraries (Universit\u00e9 catholique de Louvain (UCL), l'Universit\u00e9 de Namur (UNamur) and the Universit\u00e9 Saint-Louis (USL-B))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I95674353","host_organization_name":"UCLouvain","host_organization_lineage":["https://openalex.org/I95674353"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:pure.unamur.be:openaire_cris_publications/94821a16-5e70-44ea-91c6-5e927f5d7dd0","is_oa":false,"landing_page_url":"https://researchportal.unamur.be/en/publications/94821a16-5e70-44ea-91c6-5e927f5d7dd0","pdf_url":null,"source":{"id":"https://openalex.org/S4406922457","display_name":"Repository of the University of Namur","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"LAABISSI, M, Winkin, J, DOCHAIN, D & ACHHAB, E 2005, Dynamical Analysis of a Tubular Biochemical Reactor Infinite-Dimensional Nonlinear Model. in Proceedings of the 44th CDC and ECC 2005, Seville (Spain), December 2005 : CD-rom paper 2177 (WeC12.5). pp. 5965-5970.","raw_type":"bookPart"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/6","score":0.6200000047683716,"display_name":"Clean water and sanitation"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321584","display_name":"F\u00e9d\u00e9ration Wallonie-Bruxelles","ror":"https://ror.org/04q01pf08"},{"id":"https://openalex.org/F4320332359","display_name":"Office of Science","ror":"https://ror.org/00mmn6b08"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W240844920","https://openalex.org/W1502315489","https://openalex.org/W1521302685","https://openalex.org/W1527296550","https://openalex.org/W1555674425","https://openalex.org/W1605250361","https://openalex.org/W1681076107","https://openalex.org/W1899641882","https://openalex.org/W1976393971","https://openalex.org/W1978768665","https://openalex.org/W2008521493","https://openalex.org/W2054649564","https://openalex.org/W2064544144","https://openalex.org/W2248054537","https://openalex.org/W2325784639","https://openalex.org/W2572813061","https://openalex.org/W4300424233","https://openalex.org/W6630030250","https://openalex.org/W6631701805","https://openalex.org/W6636316282","https://openalex.org/W7030304934","https://openalex.org/W7039990542"],"related_works":["https://openalex.org/W1982160337","https://openalex.org/W1971380437","https://openalex.org/W1983548084","https://openalex.org/W1966008566","https://openalex.org/W2079574545","https://openalex.org/W3127651486","https://openalex.org/W2921182178","https://openalex.org/W4247979471","https://openalex.org/W2159708048","https://openalex.org/W2118964038"],"abstract_inverted_index":{"The":[0],"existence":[1,75],"and":[2,10,36],"uniqueness":[3],"of":[4,39,58,76],"the":[5,26,30,37,48,56,59,69,74],"state":[6,43,60],"trajectories":[7,27],"(limiting":[8],"substrate":[9],"living":[11],"biomass)":[12],"are":[13,83],"analyzed":[14],"for":[15],"a":[16,65],"tubular":[17],"biochemical":[18],"reactor":[19],"nonlinear":[20],"model.":[21],"It":[22],"is":[23,45],"reported":[24],"that":[25],"exist":[28],"on":[29,68],"whole":[31],"(nonnegative":[32],"real)":[33],"time":[34],"axis":[35],"set":[38,52],"all":[40],"physically":[41],"feasible":[42],"values":[44],"invariant":[46],"under":[47],"dynamics":[49],"equations.":[50],"This":[51],"takes":[53],"into":[54],"account":[55],"positivity":[57],"variables":[61],"as":[62,64],"well":[63],"saturation":[66],"condition":[67],"substrate.":[70],"Conditions":[71],"which":[72],"guarantee":[73],"at":[77],"least":[78],"one":[79],"nontrivial":[80],"equilibrium":[81],"profile":[82],"reported.":[84]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
