{"id":"https://openalex.org/W2063539650","doi":"https://doi.org/10.1109/tcbb.2015.2404799","title":"Model Order and Identifiability of Non-Linear Biological Systems in Stable Oscillation","display_name":"Model Order and Identifiability of Non-Linear Biological Systems in Stable Oscillation","publication_year":2015,"publication_date":"2015-02-18","ids":{"openalex":"https://openalex.org/W2063539650","doi":"https://doi.org/10.1109/tcbb.2015.2404799","mag":"2063539650","pmid":"https://pubmed.ncbi.nlm.nih.gov/26671817"},"language":"en","primary_location":{"id":"doi:10.1109/tcbb.2015.2404799","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcbb.2015.2404799","pdf_url":null,"source":{"id":"https://openalex.org/S36029991","display_name":"IEEE Transactions on Computational Biology and Bioinformatics","issn_l":"1545-5963","issn":["1545-5963","1557-9964","2374-0043","2998-4165"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE/ACM Transactions on Computational Biology and Bioinformatics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5058932060","display_name":"Torbj\u00f6rn Wigren","orcid":"https://orcid.org/0000-0003-2580-8906"},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Torbjorn Wigren","raw_affiliation_strings":["Department of Information Technology, Uppsala University, Uppsala, Sweden","Department of Information Technology; Uppsala University; Uppsala Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Technology, Uppsala University, Uppsala, Sweden","institution_ids":["https://openalex.org/I123387679"]},{"raw_affiliation_string":"Department of Information Technology; Uppsala University; Uppsala Sweden","institution_ids":["https://openalex.org/I123387679"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5058932060"],"corresponding_institution_ids":["https://openalex.org/I123387679"],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":0.5985,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.66078594,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"12","issue":"6","first_page":"1479","last_page":"1484"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9958000183105469,"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/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9884999990463257,"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":0.9023606777191162},{"id":"https://openalex.org/keywords/oscillation","display_name":"Oscillation (cell signaling)","score":0.7331132888793945},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6471460461616516},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5452301502227783},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5064469575881958},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5031237006187439},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4932381510734558},{"id":"https://openalex.org/keywords/biological-data","display_name":"Biological data","score":0.4169939458370209},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3815903663635254},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.34769392013549805},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16498219966888428},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08990240097045898},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.06759524345397949}],"concepts":[{"id":"https://openalex.org/C122770356","wikidata":"https://www.wikidata.org/wiki/Q1656753","display_name":"Identifiability","level":2,"score":0.9023606777191162},{"id":"https://openalex.org/C2778439541","wikidata":"https://www.wikidata.org/wiki/Q7106412","display_name":"Oscillation (cell signaling)","level":2,"score":0.7331132888793945},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6471460461616516},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5452301502227783},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5064469575881958},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5031237006187439},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4932381510734558},{"id":"https://openalex.org/C201797286","wikidata":"https://www.wikidata.org/wiki/Q4914986","display_name":"Biological data","level":2,"score":0.4169939458370209},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3815903663635254},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.34769392013549805},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16498219966888428},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08990240097045898},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.06759524345397949},{"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/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000200","descriptor_name":"Action Potentials","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D000200","descriptor_name":"Action Potentials","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D000200","descriptor_name":"Action Potentials","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D000818","descriptor_name":"Animals","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000818","descriptor_name":"Animals","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000818","descriptor_name":"Animals","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D001683","descriptor_name":"Biological Clocks","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D001683","descriptor_name":"Biological Clocks","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D001683","descriptor_name":"Biological Clocks","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005260","descriptor_name":"Female","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005260","descriptor_name":"Female","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005260","descriptor_name":"Female","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008564","descriptor_name":"Membrane Potentials","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D008564","descriptor_name":"Membrane Potentials","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D008564","descriptor_name":"Membrane Potentials","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D008959","descriptor_name":"Models, Neurological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008959","descriptor_name":"Models, Neurological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008959","descriptor_name":"Models, Neurological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D009474","descriptor_name":"Neurons","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009474","descriptor_name":"Neurons","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009474","descriptor_name":"Neurons","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D011247","descriptor_name":"Pregnancy","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D011247","descriptor_name":"Pregnancy","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D011247","descriptor_name":"Pregnancy","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":2,"locations":[{"id":"doi:10.1109/tcbb.2015.2404799","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcbb.2015.2404799","pdf_url":null,"source":{"id":"https://openalex.org/S36029991","display_name":"IEEE Transactions on Computational Biology and Bioinformatics","issn_l":"1545-5963","issn":["1545-5963","1557-9964","2374-0043","2998-4165"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE/ACM Transactions on Computational Biology and Bioinformatics","raw_type":"journal-article"},{"id":"pmid:26671817","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/26671817","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":"IEEE/ACM transactions on computational biology and bioinformatics","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W231672995","https://openalex.org/W296863324","https://openalex.org/W1540723801","https://openalex.org/W1610678804","https://openalex.org/W1825380931","https://openalex.org/W1965324089","https://openalex.org/W1965479704","https://openalex.org/W1985940938","https://openalex.org/W1987800067","https://openalex.org/W1997411276","https://openalex.org/W2009375605","https://openalex.org/W2043785977","https://openalex.org/W2061191702","https://openalex.org/W2069647329","https://openalex.org/W2070249005","https://openalex.org/W2074697762","https://openalex.org/W2094224141","https://openalex.org/W2102975930","https://openalex.org/W2129644659","https://openalex.org/W2136719407","https://openalex.org/W2140919723","https://openalex.org/W2145495934","https://openalex.org/W2164653071","https://openalex.org/W2502619309","https://openalex.org/W2541273097","https://openalex.org/W3098955748","https://openalex.org/W4237997615","https://openalex.org/W6609085083","https://openalex.org/W6680775497"],"related_works":["https://openalex.org/W2724847603","https://openalex.org/W2034041141","https://openalex.org/W2184661725","https://openalex.org/W2900187352","https://openalex.org/W112856298","https://openalex.org/W2573470972","https://openalex.org/W2105626102","https://openalex.org/W4240568257","https://openalex.org/W2131038454","https://openalex.org/W4283316300"],"abstract_inverted_index":{"The":[0,81,105],"paper":[1,109],"presents":[2],"a":[3,21,62,74],"theoretical":[4],"result":[5,83,106],"that":[6,85],"clarifies":[7],"when":[8,114,135],"it":[9,31],"is":[10,40,59,71,110,123],"at":[11],"all":[12],"possible":[13],"to":[14,129],"determine":[15],"the":[16,34,43,48,52,86,92,101,108,115,127],"nonlinear":[17],"dynamic":[18],"equations":[19],"of":[20,51,91,107,111,117],"biological":[22,118],"system":[23,53],"in":[24,46,120],"stable":[25,49,121],"oscillation,":[26],"from":[27],"measured":[28,103],"data.":[29,104,141],"As":[30],"turns":[32],"out":[33],"minimal":[35,44],"order":[36,65,77,89],"needed":[37],"for":[38],"this":[39],"dependent":[41],"on":[42,139],"dimension":[45],"which":[47,70],"orbit":[50],"does":[54],"not":[55],"intersect":[56],"itself.":[57],"This":[58],"illustrated":[60],"with":[61],"simulated":[63,82],"fourth":[64],"Hodgkin-Huxley":[66],"spiking":[67,93],"neuron":[68,94],"model,":[69],"identified":[72],"using":[73],"non-linear":[75,132],"second":[76],"differential":[78],"equation":[79],"model.":[80],"illustrates":[84,126],"underlying":[87],"higher":[88],"model":[90],"cannot":[95],"be":[96],"uniquely":[97],"determined":[98],"given":[99],"only":[100],"periodic":[102,140],"general":[112],"validity":[113],"dynamics":[116],"systems":[119],"oscillation":[122],"identified,":[124],"and":[125],"need":[128],"carefully":[130],"address":[131],"identifiability":[133],"aspects":[134],"validating":[136],"models":[137],"based":[138]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
