{"id":"https://openalex.org/W1978150536","doi":"https://doi.org/10.1007/bf00204206","title":"A Markovian formalization of heart rate dynamics evinces a quantum-like hypothesis","display_name":"A Markovian formalization of heart rate dynamics evinces a quantum-like hypothesis","publication_year":1996,"publication_date":"1996-02-01","ids":{"openalex":"https://openalex.org/W1978150536","doi":"https://doi.org/10.1007/bf00204206","mag":"1978150536","pmid":"https://pubmed.ncbi.nlm.nih.gov/8634369"},"language":"en","primary_location":{"id":"doi:10.1007/bf00204206","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf00204206","pdf_url":null,"source":{"id":"https://openalex.org/S87357125","display_name":"Biological Cybernetics","issn_l":"0340-1200","issn":["0340-1200","1432-0770"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Biological Cybernetics","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/A5013428460","display_name":"Alessandro Giuliani","orcid":"https://orcid.org/0000-0002-4640-804X"},"institutions":[{"id":"https://openalex.org/I4210131844","display_name":"Sigma Tau (Italy)","ror":"https://ror.org/03bxtpd68","country_code":"IT","type":"company","lineage":["https://openalex.org/I4210131844"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Alessandro Giuliani","raw_affiliation_strings":["Institute for Research on Senescence, Sigma-Tau, Rome, Italy","Institute for Research on Senescence, Sigma-Tau, Pomezia, Italy I-00040#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute for Research on Senescence, Sigma-Tau, Rome, Italy","institution_ids":[]},{"raw_affiliation_string":"Institute for Research on Senescence, Sigma-Tau, Pomezia, Italy I-00040#TAB#","institution_ids":["https://openalex.org/I4210131844"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057782494","display_name":"Pietro Giudice","orcid":"https://orcid.org/0000-0002-5843-0017"},"institutions":[{"id":"https://openalex.org/I4210131844","display_name":"Sigma Tau (Italy)","ror":"https://ror.org/03bxtpd68","country_code":"IT","type":"company","lineage":["https://openalex.org/I4210131844"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Pietro Lo Giudice","raw_affiliation_strings":["Institute for Research on Senescence, Sigma-Tau, Via Pontina Km 30,400, I-00040, Pomezia, Rome, Italy","Institute for Research on Senescence, Sigma-Tau, Pomezia, Italy I-00040#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute for Research on Senescence, Sigma-Tau, Via Pontina Km 30,400, I-00040, Pomezia, Rome, Italy","institution_ids":["https://openalex.org/I4210131844"]},{"raw_affiliation_string":"Institute for Research on Senescence, Sigma-Tau, Pomezia, Italy I-00040#TAB#","institution_ids":["https://openalex.org/I4210131844"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111555402","display_name":"Anna Maria Mancini","orcid":null},"institutions":[{"id":"https://openalex.org/I4210131844","display_name":"Sigma Tau (Italy)","ror":"https://ror.org/03bxtpd68","country_code":"IT","type":"company","lineage":["https://openalex.org/I4210131844"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Anna Maria Mancini","raw_affiliation_strings":["Institute for Research on Senescence, Sigma-Tau, Via Pontina Km 30,400, I-00040, Pomezia, Rome, Italy","Institute for Research on Senescence, Sigma-Tau, Pomezia, Italy I-00040#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute for Research on Senescence, Sigma-Tau, Via Pontina Km 30,400, I-00040, Pomezia, Rome, Italy","institution_ids":["https://openalex.org/I4210131844"]},{"raw_affiliation_string":"Institute for Research on Senescence, Sigma-Tau, Pomezia, Italy I-00040#TAB#","institution_ids":["https://openalex.org/I4210131844"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084839681","display_name":"Gianni Quatrini","orcid":null},"institutions":[{"id":"https://openalex.org/I4210131844","display_name":"Sigma Tau (Italy)","ror":"https://ror.org/03bxtpd68","country_code":"IT","type":"company","lineage":["https://openalex.org/I4210131844"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Gianni Quatrini","raw_affiliation_strings":["Institute for Research on Senescence, Sigma-Tau, Via Pontina Km 30,400, I-00040, Pomezia, Rome, Italy","Institute for Research on Senescence, Sigma-Tau, Pomezia, Italy I-00040#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute for Research on Senescence, Sigma-Tau, Via Pontina Km 30,400, I-00040, Pomezia, Rome, Italy","institution_ids":["https://openalex.org/I4210131844"]},{"raw_affiliation_string":"Institute for Research on Senescence, Sigma-Tau, Pomezia, Italy I-00040#TAB#","institution_ids":["https://openalex.org/I4210131844"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109944929","display_name":"Licia Pacifici","orcid":null},"institutions":[{"id":"https://openalex.org/I4210131844","display_name":"Sigma Tau (Italy)","ror":"https://ror.org/03bxtpd68","country_code":"IT","type":"company","lineage":["https://openalex.org/I4210131844"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Licia Pacifici","raw_affiliation_strings":["Institute for Research on Senescence, Sigma-Tau, Via Pontina Km 30,400, I-00040, Pomezia, Rome, Italy","Institute for Research on Senescence, Sigma-Tau, Pomezia, Italy I-00040#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute for Research on Senescence, Sigma-Tau, Via Pontina Km 30,400, I-00040, Pomezia, Rome, Italy","institution_ids":["https://openalex.org/I4210131844"]},{"raw_affiliation_string":"Institute for Research on Senescence, Sigma-Tau, Pomezia, Italy I-00040#TAB#","institution_ids":["https://openalex.org/I4210131844"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108419329","display_name":"Charles L. Webber","orcid":null},"institutions":[{"id":"https://openalex.org/I1304196042","display_name":"Loyola University Medical Center","ror":"https://ror.org/05xcyt367","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I1304196042","https://openalex.org/I1304269903"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Charles L. Webber","raw_affiliation_strings":["Department of Physiology, Loyola University Medical Center, 2160 First Street, 60153, Maywood, IL, USA","Department of Physiology, Loyola University Medical Center, Maywood, USA 60153#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Physiology, Loyola University Medical Center, 2160 First Street, 60153, Maywood, IL, USA","institution_ids":["https://openalex.org/I1304196042"]},{"raw_affiliation_string":"Department of Physiology, Loyola University Medical Center, Maywood, USA 60153#TAB#","institution_ids":["https://openalex.org/I1304196042"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112650844","display_name":"Michail Zak","orcid":null},"institutions":[{"id":"https://openalex.org/I1334627681","display_name":"Jet Propulsion Laboratory","ror":"https://ror.org/027k65916","country_code":"US","type":"facility","lineage":["https://openalex.org/I122411786","https://openalex.org/I1334627681","https://openalex.org/I4210124779"]},{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michail Zak","raw_affiliation_strings":["Jet Propulsion Laboratory,  California Institute of Technology, 91109, Pasadena, CA, USA","Jet Propulsion Laboratory, California Institute of Technology, Pasadena, USA 91109#TAB#"],"affiliations":[{"raw_affiliation_string":"Jet Propulsion Laboratory,  California Institute of Technology, 91109, Pasadena, CA, USA","institution_ids":["https://openalex.org/I1334627681"]},{"raw_affiliation_string":"Jet Propulsion Laboratory, California Institute of Technology, Pasadena, USA 91109#TAB#","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109528449","display_name":"Joseph P. Zbilut","orcid":null},"institutions":[{"id":"https://openalex.org/I49886154","display_name":"Rush University","ror":"https://ror.org/01k9xac83","country_code":"US","type":"education","lineage":["https://openalex.org/I49886154"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Joseph P. Zbilut","raw_affiliation_strings":["Department of Molecular Biophysics and Physiology, Rush University, 1653 West Congress Parkway, 60612, Chicago, IL, USA","Department of Molecular Biophysics and Physiology, Rush University, Chicago, USA 60612#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Molecular Biophysics and Physiology, Rush University, 1653 West Congress Parkway, 60612, Chicago, IL, USA","institution_ids":["https://openalex.org/I49886154"]},{"raw_affiliation_string":"Department of Molecular Biophysics and Physiology, Rush University, Chicago, USA 60612#TAB#","institution_ids":["https://openalex.org/I49886154"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":8,"corresponding_author_ids":["https://openalex.org/A5013428460"],"corresponding_institution_ids":["https://openalex.org/I4210131844"],"apc_list":{"value":2790,"currency":"EUR","value_usd":3590},"apc_paid":null,"fwci":1.3261,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.78381846,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"74","issue":"2","first_page":"181","last_page":"187"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9789999723434448,"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":0.9789999723434448,"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":0.9746999740600586,"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/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.964900016784668,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/rotation-formalisms-in-three-dimensions","display_name":"Rotation formalisms in three dimensions","score":0.6910402178764343},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.6181762218475342},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5965467691421509},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.5623213052749634},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5047868490219116},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4329240918159485},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3638184070587158},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1887412965297699},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.14789724349975586},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0887863039970398}],"concepts":[{"id":"https://openalex.org/C171018156","wikidata":"https://www.wikidata.org/wiki/Q7370306","display_name":"Rotation formalisms in three dimensions","level":2,"score":0.6910402178764343},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.6181762218475342},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5965467691421509},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.5623213052749634},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5047868490219116},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4329240918159485},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3638184070587158},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1887412965297699},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.14789724349975586},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0887863039970398},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[{"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":"D004562","descriptor_name":"Electrocardiography","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D004562","descriptor_name":"Electrocardiography","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D004562","descriptor_name":"Electrocardiography","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006339","descriptor_name":"Heart Rate","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D006339","descriptor_name":"Heart Rate","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D006339","descriptor_name":"Heart Rate","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D008433","descriptor_name":"Mathematics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008433","descriptor_name":"Mathematics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008433","descriptor_name":"Mathematics","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":"D011916","descriptor_name":"Rats, Inbred F344","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D011916","descriptor_name":"Rats, Inbred F344","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D011916","descriptor_name":"Rats, Inbred F344","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013997","descriptor_name":"Time Factors","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013997","descriptor_name":"Time Factors","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013997","descriptor_name":"Time Factors","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D051381","descriptor_name":"Rats","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D051381","descriptor_name":"Rats","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D051381","descriptor_name":"Rats","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":2,"locations":[{"id":"doi:10.1007/bf00204206","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf00204206","pdf_url":null,"source":{"id":"https://openalex.org/S87357125","display_name":"Biological Cybernetics","issn_l":"0340-1200","issn":["0340-1200","1432-0770"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Biological Cybernetics","raw_type":"journal-article"},{"id":"pmid:8634369","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/8634369","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":"Biological cybernetics","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.44999998807907104,"display_name":"Gender equality","id":"https://metadata.un.org/sdg/5"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W41894504","https://openalex.org/W47142618","https://openalex.org/W162776619","https://openalex.org/W240029891","https://openalex.org/W1004118297","https://openalex.org/W1589313316","https://openalex.org/W1632757400","https://openalex.org/W1973396620","https://openalex.org/W1979382764","https://openalex.org/W2007979658","https://openalex.org/W2013115748","https://openalex.org/W2024121617","https://openalex.org/W2025727209","https://openalex.org/W2029010014","https://openalex.org/W2042173515","https://openalex.org/W2044652379","https://openalex.org/W2055967087","https://openalex.org/W2058742375","https://openalex.org/W2061081005","https://openalex.org/W2067265108","https://openalex.org/W2071118926","https://openalex.org/W2088678566","https://openalex.org/W2108139264","https://openalex.org/W2126479355","https://openalex.org/W2153006866","https://openalex.org/W2290464954","https://openalex.org/W2397044510","https://openalex.org/W2493432345","https://openalex.org/W2587926013","https://openalex.org/W2612166593","https://openalex.org/W2621229701","https://openalex.org/W2751862591","https://openalex.org/W2797048172","https://openalex.org/W3026209720","https://openalex.org/W4236774786","https://openalex.org/W4300349125","https://openalex.org/W6652739136"],"related_works":["https://openalex.org/W2067328231","https://openalex.org/W1995989502","https://openalex.org/W2065756980","https://openalex.org/W4287025340","https://openalex.org/W1972374761","https://openalex.org/W4320923048","https://openalex.org/W4307206352","https://openalex.org/W2772616407","https://openalex.org/W4225987997","https://openalex.org/W2327200400"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-01-13T01:12:25.745995","created_date":"2025-10-10T00:00:00"}