{"id":"https://openalex.org/W2166672104","doi":"https://doi.org/10.1109/cdc.2007.4434461","title":"Canonical piecewise-linear approximation of nonlinear cellular growth","display_name":"Canonical piecewise-linear approximation of nonlinear cellular growth","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2166672104","doi":"https://doi.org/10.1109/cdc.2007.4434461","mag":"2166672104"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2007.4434461","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4434461","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th IEEE Conference on Decision and Control","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/A5032943977","display_name":"Eduardo Mojica","orcid":null},"institutions":[{"id":"https://openalex.org/I162096671","display_name":"Universidad de Los Andes","ror":"https://ror.org/02mhbdp94","country_code":"CO","type":"education","lineage":["https://openalex.org/I162096671"]}],"countries":["CO"],"is_corresponding":true,"raw_author_name":"Eduardo Mojica","raw_affiliation_strings":["Ecole des Mines de Nantes, France","Universidad de Los Andes, Colombia","Ecole des Mines de Nantes, France; Universidad de Los Andes, Colombia"],"affiliations":[{"raw_affiliation_string":"Ecole des Mines de Nantes, France","institution_ids":[]},{"raw_affiliation_string":"Universidad de Los Andes, Colombia","institution_ids":["https://openalex.org/I162096671"]},{"raw_affiliation_string":"Ecole des Mines de Nantes, France; Universidad de Los Andes, Colombia","institution_ids":["https://openalex.org/I162096671"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039697409","display_name":"Alain Gauthier","orcid":null},"institutions":[{"id":"https://openalex.org/I162096671","display_name":"Universidad de Los Andes","ror":"https://ror.org/02mhbdp94","country_code":"CO","type":"education","lineage":["https://openalex.org/I162096671"]}],"countries":["CO"],"is_corresponding":false,"raw_author_name":"Alain Gauthier","raw_affiliation_strings":["Universidad de Los Andes, Colombia","Universidad de Los Andes Colombia"],"affiliations":[{"raw_affiliation_string":"Universidad de Los Andes, Colombia","institution_ids":["https://openalex.org/I162096671"]},{"raw_affiliation_string":"Universidad de Los Andes Colombia","institution_ids":["https://openalex.org/I162096671"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089716427","display_name":"Naly Rakoto\u2013Ravalontsalama","orcid":"https://orcid.org/0000-0002-5798-0359"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Naly Rakoto-Ravalontsalama","raw_affiliation_strings":["Ecole des Mines de Nantes, France","\u00c9cole des Mines de Nantes, France#TAB#"],"affiliations":[{"raw_affiliation_string":"Ecole des Mines de Nantes, France","institution_ids":[]},{"raw_affiliation_string":"\u00c9cole des Mines de Nantes, France#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5032943977"],"corresponding_institution_ids":["https://openalex.org/I162096671"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1158234,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"1990","issue":null,"first_page":"1640","last_page":"1645"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9876999855041504,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9876999855041504,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9768999814987183,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9728999733924866,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/baby-hamster-kidney-cell","display_name":"Baby hamster kidney cell","score":0.7130419015884399},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.7009761333465576},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7002335786819458},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5400048494338989},{"id":"https://openalex.org/keywords/linear-approximation","display_name":"Linear approximation","score":0.5318871140480042},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5111735463142395},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4812704920768738},{"id":"https://openalex.org/keywords/orthonormal-basis","display_name":"Orthonormal basis","score":0.44346413016319275},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40747591853141785},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3674258589744568},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.30656698346138},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3009716868400574},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13807439804077148},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10585987567901611},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.07618159055709839}],"concepts":[{"id":"https://openalex.org/C33263850","wikidata":"https://www.wikidata.org/wiki/Q4838438","display_name":"Baby hamster kidney cell","level":3,"score":0.7130419015884399},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.7009761333465576},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7002335786819458},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5400048494338989},{"id":"https://openalex.org/C160824197","wikidata":"https://www.wikidata.org/wiki/Q2071054","display_name":"Linear approximation","level":3,"score":0.5318871140480042},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5111735463142395},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4812704920768738},{"id":"https://openalex.org/C5806529","wikidata":"https://www.wikidata.org/wiki/Q2365325","display_name":"Orthonormal basis","level":2,"score":0.44346413016319275},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40747591853141785},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3674258589744568},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30656698346138},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3009716868400574},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13807439804077148},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10585987567901611},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.07618159055709839},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C1491633281","wikidata":"https://www.wikidata.org/wiki/Q7868","display_name":"Cell","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2007.4434461","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4434461","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th IEEE Conference on Decision and Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W2016862626","https://openalex.org/W2102310801","https://openalex.org/W2107651130","https://openalex.org/W2116278894","https://openalex.org/W2118492477","https://openalex.org/W2120505609","https://openalex.org/W2133642820","https://openalex.org/W2146447376","https://openalex.org/W2154130942","https://openalex.org/W6683017611"],"related_works":["https://openalex.org/W2490196280","https://openalex.org/W3182827720","https://openalex.org/W1596838019","https://openalex.org/W3208509670","https://openalex.org/W2109304297","https://openalex.org/W2100864966","https://openalex.org/W2083709218","https://openalex.org/W4323366562","https://openalex.org/W2131136359","https://openalex.org/W2133947431"],"abstract_inverted_index":{"In":[0],"this":[1,47],"paper":[2],"we":[3],"develop":[4],"and":[5,35],"improve":[6],"some":[7],"piecewise-linear":[8],"approximations":[9],"of":[10],"nonlinear":[11,57],"cellular":[12],"growth":[13],"using":[14],"orthonormal":[15],"canonical":[16],"piecewise":[17,48],"linear":[18,49],"functions.":[19],"The":[20],"work":[21],"is":[22,51],"with":[23],"the":[24],"mammalian":[25],"cells":[26],"BHK":[27],"(baby":[28],"hamster":[29],"kidney)":[30],"in":[31,33],"bioreactor":[32],"batch":[34],"continuous":[36],"mode":[37],"operation.":[38],"Preliminary":[39],"results":[40],"based":[41],"on":[42],"experimental":[43],"validation":[44],"show":[45],"that":[46],"approximation":[50],"well":[52],"suited":[53],"for":[54],"modeling":[55],"such":[56],"dynamics.":[58]},"counts_by_year":[],"updated_date":"2026-03-26T15:22:09.906841","created_date":"2025-10-10T00:00:00"}