{"id":"https://openalex.org/W2035789117","doi":"https://doi.org/10.1109/tbme.2012.2184105","title":"Invariant Density Analysis: Modeling and Analysis of the Postural Control System Using Markov Chains","display_name":"Invariant Density Analysis: Modeling and Analysis of the Postural Control System Using Markov Chains","publication_year":2012,"publication_date":"2012-01-12","ids":{"openalex":"https://openalex.org/W2035789117","doi":"https://doi.org/10.1109/tbme.2012.2184105","mag":"2035789117","pmid":"https://pubmed.ncbi.nlm.nih.gov/22262678"},"language":"en","primary_location":{"id":"doi:10.1109/tbme.2012.2184105","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tbme.2012.2184105","pdf_url":null,"source":{"id":"https://openalex.org/S5240358","display_name":"IEEE Transactions on Biomedical Engineering","issn_l":"0018-9294","issn":["0018-9294","1558-2531"],"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 Transactions on Biomedical Engineering","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/A5024476499","display_name":"Pilwon Hur","orcid":"https://orcid.org/0000-0002-3651-1721"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]},{"id":"https://openalex.org/I43579087","display_name":"University of Wisconsin\u2013Milwaukee","ror":"https://ror.org/031q21x57","country_code":"US","type":"education","lineage":["https://openalex.org/I43579087"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"P. Hur","raw_affiliation_strings":["Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA. hur@uwm.edu","Department of Industrial Engineering, University of Wisconsin, Milwaukee, WI, USA","Department of Mechanical Science and Engineering, University of Illinois, Urbana-Champaign, IL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA. hur@uwm.edu","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Department of Industrial Engineering, University of Wisconsin, Milwaukee, WI, USA","institution_ids":["https://openalex.org/I43579087"]},{"raw_affiliation_string":"Department of Mechanical Science and Engineering, University of Illinois, Urbana-Champaign, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037964227","display_name":"K. Alex Shorter","orcid":"https://orcid.org/0000-0003-3825-8210"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"K. Alex Shorter","raw_affiliation_strings":["Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081314418","display_name":"Prashant G. Mehta","orcid":"https://orcid.org/0000-0003-1265-7942"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"P. G. Mehta","raw_affiliation_strings":["Department of Mechanical Science and Engineering, University of Illinois, Urbana-Champaign, IL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Science and Engineering, University of Illinois, Urbana-Champaign, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084784424","display_name":"Elizabeth T. Hsiao\u2010Wecksler","orcid":"https://orcid.org/0000-0002-9373-3611"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"E. T. Hsiao-Wecksler","raw_affiliation_strings":["Department of Mechanical Science and Engineering, University of Illinois, Urbana-Champaign, IL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Science and Engineering, University of Illinois, Urbana-Champaign, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":2.0059,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.88175182,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"59","issue":"4","first_page":"1094","last_page":"1100"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10114","display_name":"Balance, Gait, and Falls Prevention","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3612","display_name":"Physical Therapy, Sports Therapy and Rehabilitation"},"field":{"id":"https://openalex.org/fields/36","display_name":"Health Professions"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10114","display_name":"Balance, Gait, and Falls Prevention","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3612","display_name":"Physical Therapy, Sports Therapy and Rehabilitation"},"field":{"id":"https://openalex.org/fields/36","display_name":"Health Professions"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T12269","display_name":"Effects of Vibration on Health","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/2732","display_name":"Orthopedics and Sports Medicine"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T11227","display_name":"Diabetic Foot Ulcer Assessment and Management","score":0.9905999898910522,"subfield":{"id":"https://openalex.org/subfields/2712","display_name":"Endocrinology, Diabetes and Metabolism"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.5469995141029358},{"id":"https://openalex.org/keywords/center-of-pressure","display_name":"Center of pressure (fluid mechanics)","score":0.5309065580368042},{"id":"https://openalex.org/keywords/sample-entropy","display_name":"Sample entropy","score":0.49284958839416504},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.4612525701522827},{"id":"https://openalex.org/keywords/force-platform","display_name":"Force platform","score":0.4380742013454437},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.4209343194961548},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4123246967792511},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.4118676781654358},{"id":"https://openalex.org/keywords/centroid","display_name":"Centroid","score":0.41064226627349854},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3754875063896179},{"id":"https://openalex.org/keywords/physical-medicine-and-rehabilitation","display_name":"Physical medicine and rehabilitation","score":0.3370588421821594},{"id":"https://openalex.org/keywords/simulation","display_name":"Simulation","score":0.33069512248039246},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3302357792854309},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.26731234788894653},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.24610671401023865},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.20011675357818604},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.179378479719162},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.12371256947517395},{"id":"https://openalex.org/keywords/time-series","display_name":"Time series","score":0.12005555629730225}],"concepts":[{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.5469995141029358},{"id":"https://openalex.org/C76542214","wikidata":"https://www.wikidata.org/wiki/Q604830","display_name":"Center of pressure (fluid mechanics)","level":3,"score":0.5309065580368042},{"id":"https://openalex.org/C66696666","wikidata":"https://www.wikidata.org/wiki/Q17105612","display_name":"Sample entropy","level":3,"score":0.49284958839416504},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4612525701522827},{"id":"https://openalex.org/C7625042","wikidata":"https://www.wikidata.org/wiki/Q17014421","display_name":"Force platform","level":2,"score":0.4380742013454437},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.4209343194961548},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4123246967792511},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.4118676781654358},{"id":"https://openalex.org/C146599234","wikidata":"https://www.wikidata.org/wiki/Q511093","display_name":"Centroid","level":2,"score":0.41064226627349854},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3754875063896179},{"id":"https://openalex.org/C99508421","wikidata":"https://www.wikidata.org/wiki/Q2678675","display_name":"Physical medicine and rehabilitation","level":1,"score":0.3370588421821594},{"id":"https://openalex.org/C44154836","wikidata":"https://www.wikidata.org/wiki/Q45045","display_name":"Simulation","level":1,"score":0.33069512248039246},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3302357792854309},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.26731234788894653},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.24610671401023865},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.20011675357818604},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.179378479719162},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.12371256947517395},{"id":"https://openalex.org/C151406439","wikidata":"https://www.wikidata.org/wiki/Q186588","display_name":"Time series","level":2,"score":0.12005555629730225},{"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/C13393347","wikidata":"https://www.wikidata.org/wiki/Q8424","display_name":"Aerodynamics","level":2,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[{"descriptor_ui":"D000328","descriptor_name":"Adult","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000328","descriptor_name":"Adult","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000328","descriptor_name":"Adult","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000368","descriptor_name":"Aged","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000368","descriptor_name":"Aged","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000368","descriptor_name":"Aged","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000369","descriptor_name":"Aged, 80 and over","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000369","descriptor_name":"Aged, 80 and over","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000369","descriptor_name":"Aged, 80 and over","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000375","descriptor_name":"Aging","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D000375","descriptor_name":"Aging","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D000375","descriptor_name":"Aging","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":"D004856","descriptor_name":"Postural Balance","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D004856","descriptor_name":"Postural Balance","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D004856","descriptor_name":"Postural Balance","qualifier_ui":"Q000502","qualifier_name":"physiology","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":"D005528","descriptor_name":"Foot","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D005528","descriptor_name":"Foot","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D005528","descriptor_name":"Foot","qualifier_ui":"Q000502","qualifier_name":"physiology","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":"D008297","descriptor_name":"Male","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008297","descriptor_name":"Male","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008297","descriptor_name":"Male","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008875","descriptor_name":"Middle Aged","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008875","descriptor_name":"Middle Aged","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008875","descriptor_name":"Middle Aged","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008954","descriptor_name":"Models, Biological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008954","descriptor_name":"Models, Biological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008954","descriptor_name":"Models, Biological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D011312","descriptor_name":"Pressure","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D011312","descriptor_name":"Pressure","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D011312","descriptor_name":"Pressure","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D012680","descriptor_name":"Sensitivity and Specificity","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D012680","descriptor_name":"Sensitivity and Specificity","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D012680","descriptor_name":"Sensitivity and Specificity","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","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":true},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016474","descriptor_name":"Weight-Bearing","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D016474","descriptor_name":"Weight-Bearing","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D016474","descriptor_name":"Weight-Bearing","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D025461","descriptor_name":"Feedback, Physiological","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D025461","descriptor_name":"Feedback, Physiological","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D025461","descriptor_name":"Feedback, Physiological","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D055815","descriptor_name":"Young Adult","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D055815","descriptor_name":"Young Adult","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D055815","descriptor_name":"Young Adult","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":2,"locations":[{"id":"doi:10.1109/tbme.2012.2184105","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tbme.2012.2184105","pdf_url":null,"source":{"id":"https://openalex.org/S5240358","display_name":"IEEE Transactions on Biomedical Engineering","issn_l":"0018-9294","issn":["0018-9294","1558-2531"],"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 Transactions on Biomedical Engineering","raw_type":"journal-article"},{"id":"pmid:22262678","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/22262678","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 transactions on bio-medical engineering","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W86095084","https://openalex.org/W128188392","https://openalex.org/W1484033701","https://openalex.org/W1854494828","https://openalex.org/W1985850859","https://openalex.org/W1992304375","https://openalex.org/W1994695701","https://openalex.org/W1995875735","https://openalex.org/W1996970591","https://openalex.org/W1999042540","https://openalex.org/W2005325188","https://openalex.org/W2017365614","https://openalex.org/W2018792431","https://openalex.org/W2046105675","https://openalex.org/W2046290306","https://openalex.org/W2050897246","https://openalex.org/W2054531840","https://openalex.org/W2056472049","https://openalex.org/W2056960107","https://openalex.org/W2061203053","https://openalex.org/W2067634747","https://openalex.org/W2074388175","https://openalex.org/W2079022823","https://openalex.org/W2080411505","https://openalex.org/W2084868992","https://openalex.org/W2098289021","https://openalex.org/W2101772974","https://openalex.org/W2114734820","https://openalex.org/W2125114968","https://openalex.org/W2133336878","https://openalex.org/W2134307639","https://openalex.org/W2135406731","https://openalex.org/W2138554597","https://openalex.org/W2166274714","https://openalex.org/W2328151902","https://openalex.org/W2400239684","https://openalex.org/W2993383518"],"related_works":["https://openalex.org/W3173348403","https://openalex.org/W3175179831","https://openalex.org/W2162455072","https://openalex.org/W4283273556","https://openalex.org/W2899189467","https://openalex.org/W2791121538","https://openalex.org/W2187714793","https://openalex.org/W2081671989","https://openalex.org/W2597441743","https://openalex.org/W2035789117"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3,38,93,163,175,187],"novel":[4],"analysis":[5,9,36],"technique,":[6],"invariant":[7],"density":[8],"(IDA),":[10],"is":[11],"introduced.":[12],"IDA":[13,32,52,102,185],"quantifies":[14],"steady-state":[15,135],"behavior":[16,46,65,112,136],"of":[17,24,37,66,79,127,184,193],"the":[18,35,55,62,67,77,123,146,182,191,194],"postural":[19,49,68,110,124,196],"control":[20,69,111,125,197],"system":[21,126],"using":[22],"center":[23],"pressure":[25],"(COP)":[26],"data":[27],"collected":[28],"during":[29,48],"quiet":[30],"standing.":[31],"relies":[33],"on":[34],"reduced-order":[39],"finite":[40],"Markov":[41],"model":[42,56],"to":[43,75,91,133],"characterize":[44,54],"stochastic":[45,165],"observed":[47],"sway.":[50],"Five":[51],"parameters":[53],"and":[57,116],"offer":[58],"physiological":[59],"insight":[60],"into":[61],"long-term":[63],"dynamical":[64],"system.":[70,198],"Two":[71],"studies":[72],"were":[73],"performed":[74],"demonstrate":[76],"efficacy":[78],"IDA.":[80,97],"Study":[81,98],"1":[82],"showed":[83],"that":[84,101,122,159],"multiple":[85],"short":[86],"trials":[87],"can":[88],"be":[89],"concatenated":[90],"create":[92],"dataset":[94],"suitable":[95],"for":[96,155,171,190],"2":[99],"demonstrated":[100],"was":[103],"effective":[104],"at":[105],"distinguishing":[106],"age-related":[107],"differences":[108],"in":[109],"between":[113],"young,":[114],"middle-aged,":[115],"older":[117,149,156],"adults.":[118,150],"These":[119,179],"results":[120,180],"suggest":[121],"young":[128,172],"adults":[129,157,173],"converges":[130],"more":[131,164,176],"quickly":[132],"their":[134,160],"while":[137,167],"maintaining":[138],"COP":[139,161],"nearer":[140],"an":[141],"overall":[142],"centroid":[143],"than":[144],"either":[145],"middle-aged":[147],"or":[148],"Additionally,":[151],"larger":[152],"entropy":[153,169],"values":[154,170],"indicate":[158,174],"follows":[162],"path,":[166],"smaller":[168],"deterministic":[177],"path.":[178],"illustrate":[181],"potential":[183],"as":[186],"quantitative":[188],"tool":[189],"assessment":[192],"quiet-standing":[195]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}