{"id":"https://openalex.org/W3206289081","doi":"https://doi.org/10.1371/journal.pcbi.1009032","title":"On testing structural identifiability by a simple scaling method: Relying on scaling symmetries can be misleading","display_name":"On testing structural identifiability by a simple scaling method: Relying on scaling symmetries can be misleading","publication_year":2021,"publication_date":"2021-10-14","ids":{"openalex":"https://openalex.org/W3206289081","doi":"https://doi.org/10.1371/journal.pcbi.1009032","mag":"3206289081","pmid":"https://pubmed.ncbi.nlm.nih.gov/34648496"},"language":"en","primary_location":{"id":"doi:10.1371/journal.pcbi.1009032","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pcbi.1009032","pdf_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1009032&type=printable","source":{"id":"https://openalex.org/S86033158","display_name":"PLoS Computational Biology","issn_l":"1553-734X","issn":["1553-734X","1553-7358"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315706","host_organization_name":"Public Library of Science","host_organization_lineage":["https://openalex.org/P4310315706"],"host_organization_lineage_names":["Public Library of Science"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLOS Computational Biology","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1009032&type=printable","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032919554","display_name":"Alejandro F. Villaverde","orcid":"https://orcid.org/0000-0001-7401-7380"},"institutions":[{"id":"https://openalex.org/I6289922","display_name":"Universidade de Vigo","ror":"https://ror.org/05rdf8595","country_code":"ES","type":"education","lineage":["https://openalex.org/I6289922"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Alejandro F. Villaverde","raw_affiliation_strings":["Universidade de Vigo, Department of Systems Engineering and Control, Vigo, Galicia, Spain"],"raw_orcid":"https://orcid.org/0000-0001-7401-7380","affiliations":[{"raw_affiliation_string":"Universidade de Vigo, Department of Systems Engineering and Control, Vigo, Galicia, Spain","institution_ids":["https://openalex.org/I6289922"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008250075","display_name":"Gemma Massonis","orcid":"https://orcid.org/0000-0001-8740-825X"},"institutions":[{"id":"https://openalex.org/I6289922","display_name":"Universidade de Vigo","ror":"https://ror.org/05rdf8595","country_code":"ES","type":"education","lineage":["https://openalex.org/I6289922"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Gemma Massonis","raw_affiliation_strings":["Bioprocess Engineering Group, IIM-CSIC, Vigo, Galicia, Spain","Universidade de Vigo, Department of Applied Mathematics II, Vigo, Galicia, Spain"],"raw_orcid":"https://orcid.org/0000-0001-8740-825X","affiliations":[{"raw_affiliation_string":"Bioprocess Engineering Group, IIM-CSIC, Vigo, Galicia, Spain","institution_ids":[]},{"raw_affiliation_string":"Universidade de Vigo, Department of Applied Mathematics II, Vigo, Galicia, Spain","institution_ids":["https://openalex.org/I6289922"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5032919554"],"corresponding_institution_ids":["https://openalex.org/I6289922"],"apc_list":{"value":2655,"currency":"USD","value_usd":2655},"apc_paid":{"value":2655,"currency":"USD","value_usd":2655},"fwci":0.2218,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.49346903,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"17","issue":"10","first_page":"e1009032","last_page":"e1009032"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9980999827384949,"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":0.9980999827384949,"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":0.9948999881744385,"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/T10044","display_name":"Protein Structure and Dynamics","score":0.9944999814033508,"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/identifiability","display_name":"Identifiability","score":0.9757767915725708},{"id":"https://openalex.org/keywords/observability","display_name":"Observability","score":0.9355451464653015},{"id":"https://openalex.org/keywords/observable","display_name":"Observable","score":0.8213807344436646},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.7735140323638916},{"id":"https://openalex.org/keywords/homogeneous-space","display_name":"Homogeneous space","score":0.7327399253845215},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.640334963798523},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5206788778305054},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4241844117641449},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39011794328689575},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3698863685131073},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.337139368057251},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3035142421722412},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10375267267227173},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0914873480796814},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.061446428298950195}],"concepts":[{"id":"https://openalex.org/C122770356","wikidata":"https://www.wikidata.org/wiki/Q1656753","display_name":"Identifiability","level":2,"score":0.9757767915725708},{"id":"https://openalex.org/C36299963","wikidata":"https://www.wikidata.org/wiki/Q1369844","display_name":"Observability","level":2,"score":0.9355451464653015},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.8213807344436646},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.7735140323638916},{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.7327399253845215},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.640334963798523},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5206788778305054},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4241844117641449},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39011794328689575},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3698863685131073},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.337139368057251},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3035142421722412},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10375267267227173},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0914873480796814},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.061446428298950195},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D008962","descriptor_name":"Models, Theoretical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008962","descriptor_name":"Models, Theoretical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008962","descriptor_name":"Models, Theoretical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D019295","descriptor_name":"Computational Biology","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D019295","descriptor_name":"Computational Biology","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D019295","descriptor_name":"Computational Biology","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false}],"locations_count":6,"locations":[{"id":"doi:10.1371/journal.pcbi.1009032","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pcbi.1009032","pdf_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1009032&type=printable","source":{"id":"https://openalex.org/S86033158","display_name":"PLoS Computational Biology","issn_l":"1553-734X","issn":["1553-734X","1553-7358"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315706","host_organization_name":"Public Library of Science","host_organization_lineage":["https://openalex.org/P4310315706"],"host_organization_lineage_names":["Public Library of Science"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLOS Computational Biology","raw_type":"journal-article"},{"id":"pmid:34648496","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/34648496","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLoS computational biology","raw_type":null},{"id":"pmh:oai:pubmedcentral.nih.gov:8516234","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/8516234","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"PLoS Comput Biol","raw_type":"Text"},{"id":"pmh:oai:digital.csic.es:10261/254058","is_oa":true,"landing_page_url":"http://hdl.handle.net/10261/254058","pdf_url":null,"source":{"id":"https://openalex.org/S4306400616","display_name":"DIGITAL.CSIC (Spanish National Research Council (CSIC))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I134820265","host_organization_name":"Consejo Superior de Investigaciones Cient\u00edficas","host_organization_lineage":["https://openalex.org/I134820265"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"art\u00edculo"},{"id":"pmh:oai:doaj.org/article:615a131b1a2e41b9ba1c4287bbcca6f9","is_oa":true,"landing_page_url":"https://doaj.org/article/615a131b1a2e41b9ba1c4287bbcca6f9","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"PLoS Computational Biology, Vol 17, Iss 10, p e1009032 (2021)","raw_type":"article"},{"id":"pmh:oai:www.investigo.biblioteca.uvigo.es:11093/4173","is_oa":true,"landing_page_url":"http://hdl.handle.net/11093/4173","pdf_url":null,"source":{"id":"https://openalex.org/S4377196408","display_name":"Investigo Institutional repository of UVigo (Universidade de Vigo)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I6289922","host_organization_name":"Universidade de Vigo","host_organization_lineage":["https://openalex.org/I6289922"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1371/journal.pcbi.1009032","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pcbi.1009032","pdf_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1009032&type=printable","source":{"id":"https://openalex.org/S86033158","display_name":"PLoS Computational Biology","issn_l":"1553-734X","issn":["1553-734X","1553-7358"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315706","host_organization_name":"Public Library of Science","host_organization_lineage":["https://openalex.org/P4310315706"],"host_organization_lineage_names":["Public Library of Science"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLOS Computational Biology","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3883153271","display_name":null,"funder_award_id":"DPI2017","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"},{"id":"https://openalex.org/G4512581440","display_name":null,"funder_award_id":"RYC-2019-027537-I","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"},{"id":"https://openalex.org/G5313417932","display_name":null,"funder_award_id":"DPI2017-82896-C2-2-R","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"},{"id":"https://openalex.org/G8483132242","display_name":null,"funder_award_id":"DPI2017-82896","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320315062","display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades","ror":null},{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3206289081.pdf","grobid_xml":"https://content.openalex.org/works/W3206289081.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W592099572","https://openalex.org/W1991568017","https://openalex.org/W2039477918","https://openalex.org/W2048110904","https://openalex.org/W2077298225","https://openalex.org/W2082667869","https://openalex.org/W2092492826","https://openalex.org/W2128971596","https://openalex.org/W2460076960","https://openalex.org/W2675964770","https://openalex.org/W2772955743","https://openalex.org/W2897150834","https://openalex.org/W2949814822","https://openalex.org/W2954868958","https://openalex.org/W2974649602","https://openalex.org/W3011944654","https://openalex.org/W3095240514"],"related_works":["https://openalex.org/W2046459260","https://openalex.org/W2724847603","https://openalex.org/W2967463586","https://openalex.org/W2765830098","https://openalex.org/W1971989957","https://openalex.org/W2517338020","https://openalex.org/W3157641275","https://openalex.org/W1936791174","https://openalex.org/W11481024","https://openalex.org/W3174905945"],"abstract_inverted_index":{"A":[0],"recent":[1],"paper":[2],"published":[3],"in":[4,86],"PLOS":[5],"Computational":[6],"Biology":[7],"[1]":[8],"introduces":[9],"the":[10,27,31,34,59,76,89,97],"Scaling":[11],"Invariance":[12],"Method":[13],"(SIM)":[14],"for":[15],"analysing":[16],"structural":[17],"local":[18],"identifiability":[19],"and":[20,37,65,84,101],"observability.":[21],"These":[22],"two":[23],"properties":[24],"define":[25],"mathematically":[26],"possibility":[28],"of":[29,33,40,63,72],"determining":[30],"values":[32],"parameters":[35],"(identifiability)":[36],"states":[38],"(observability)":[39],"a":[41],"dynamic":[42],"model":[43,98],"by":[44,82],"observing":[45],"its":[46],"output.":[47],"In":[48],"this":[49],"note":[50],"we":[51],"warn":[52],"that":[53,69,85,96],"SIM":[54],"considers":[55],"scaling":[56],"symmetries":[57,73],"as":[58],"only":[60],"possible":[61],"cause":[62,75],"non-identifiability":[64],"non-observability.":[66],"We":[67],"show":[68],"other":[70],"types":[71],"can":[74],"same":[77],"problems":[78],"without":[79],"being":[80],"detected":[81],"SIM,":[83],"those":[87],"cases":[88],"method":[90],"may":[91],"lead":[92],"one":[93],"to":[94],"conclude":[95],"is":[99,105],"identifiable":[100],"observable":[102],"when":[103],"it":[104],"actually":[106],"not.":[107]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-08-11T07:18:39.950985","created_date":"2025-10-10T00:00:00"}