{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,27]],"date-time":"2026-02-27T04:20:10Z","timestamp":1772166010513,"version":"3.50.1"},"reference-count":38,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2024,11,19]],"date-time":"2024-11-19T00:00:00Z","timestamp":1731974400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0"},{"start":{"date-parts":[[2024,11,19]],"date-time":"2024-11-19T00:00:00Z","timestamp":1731974400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["BMC Med Inform Decis Mak"],"DOI":"10.1186\/s12911-024-02763-1","type":"journal-article","created":{"date-parts":[[2024,11,19]],"date-time":"2024-11-19T07:46:17Z","timestamp":1732002377000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Modified multiscale Renyi distribution entropy for short-term heart rate variability analysis"],"prefix":"10.1186","volume":"24","author":[{"given":"Manhong","family":"Shi","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yinuo","family":"Shi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yuxin","family":"Lin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xue","family":"Qi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2024,11,19]]},"reference":[{"key":"2763_CR1","doi-asserted-by":"publisher","first-page":"1","DOI":"10.3389\/fphys.2019.00809","volume":"10","author":"M Shi","year":"2019","unstructured":"Shi M, Zhan C, He H, Jin Y, Wu R, Sun Y, Shen B. Renyi Distribution Entropy Analysis of Short-Term Heart Rate Variability Signals and Its Application in Coronary Artery Disease Detection. Front Physiol. 2019;10:1\u201314.","journal-title":"Front Physiol"},{"issue":"20","key":"2763_CR2","doi-asserted-by":"publisher","first-page":"1689","DOI":"10.1016\/j.physleta.2016.03.011","volume":"380","author":"R Flanagan","year":"2016","unstructured":"Flanagan R, Lacasa L. Irreversibility of financial time series: A graph-theoretical approach. Phys Lett A. 2016;380(20):1689\u201397.","journal-title":"Phys Lett A"},{"issue":"4","key":"2763_CR3","first-page":"1","volume":"85","author":"T Qiang","year":"2016","unstructured":"Qiang T, Shang P, Feng G. The similarity analysis of financial stocks based on information clustering. Nonlinear Dyn. 2016;85(4):1\u201318.","journal-title":"Nonlinear Dyn"},{"key":"2763_CR4","doi-asserted-by":"publisher","first-page":"129","DOI":"10.1016\/j.cnsns.2016.09.005","volume":"45","author":"J Ma","year":"2017","unstructured":"Ma J, Ren W, Zhan X. Complexity dynamics and Hopf bifurcation analysis based on the first Lyapunov coefficient about 3D IS-LM macroeconomics system. Commun Nonlinear Sci Numer Simul. 2017;45:129\u201339.","journal-title":"Commun Nonlinear Sci Numer Simul"},{"issue":"6","key":"2763_CR5","doi-asserted-by":"publisher","first-page":"H2039","DOI":"10.1152\/ajpheart.2000.278.6.H2039","volume":"278","author":"JS Richman","year":"2000","unstructured":"Richman JS, Randall MJ. Physiological time-series analysis using approximate entropy and sample entropy. Am J Physiol Heart Circ Physiol. 2000;278(6):H2039.","journal-title":"Am J Physiol Heart Circ Physiol."},{"issue":"6","key":"2763_CR6","doi-asserted-by":"publisher","first-page":"541","DOI":"10.3390\/e21060541","volume":"21","author":"A Delgado-Bonal","year":"2019","unstructured":"Delgado-Bonal A, Marshak A. Approximate Entropy and Sample Entropy: A Comprehensive Tutorial. Entropy. 2019;21(6):541.","journal-title":"Entropy."},{"issue":"17","key":"2763_CR7","doi-asserted-by":"publisher","first-page":"174102","DOI":"10.1103\/PhysRevLett.88.174102","volume":"88","author":"B Christoph","year":"2002","unstructured":"Christoph B, Bernd P. Permutation entropy: a natural complexity measure for time series. Phys Rev Lett. 2002;88(17).","journal-title":"Phys Rev Lett"},{"key":"2763_CR8","doi-asserted-by":"publisher","first-page":"975","DOI":"10.1016\/j.physa.2017.08.047","volume":"490","author":"Y Liu","year":"2018","unstructured":"Liu Y, Lin Y, Wang J, Shang P. Refined generalized multiscale entropy analysis for physiological signals. Physica A. 2018;490:975\u201385.","journal-title":"Physica A"},{"issue":"1","key":"2763_CR9","doi-asserted-by":"publisher","first-page":"411","DOI":"10.1007\/BF01053799","volume":"69","author":"HC Fogedby","year":"1992","unstructured":"Fogedby HC. On the phase space approach to complexity. J Stat Phys. 1992;69(1):411\u201325.","journal-title":"J Stat Phys"},{"issue":"6","key":"2763_CR10","doi-asserted-by":"publisher","first-page":"068102","DOI":"10.1103\/PhysRevLett.89.068102","volume":"89","author":"M Costa","year":"2002","unstructured":"Costa M, Goldberger AL, Peng CK. Multiscale entropy analysis of complex physiologic time series. Phys Rev Lett. 2002;89(6):068102.","journal-title":"Phys Rev Lett."},{"issue":"1","key":"2763_CR11","doi-asserted-by":"publisher","first-page":"241","DOI":"10.3390\/e13010241","volume":"13","author":"C-M Chou","year":"2011","unstructured":"Chou C-M. Wavelet-Based Multi-Scale Entropy Analysis of Complex Rainfall Time Series. Entropy. 2011;13(1):241\u201353.","journal-title":"Entropy"},{"issue":"1\u20133","key":"2763_CR12","doi-asserted-by":"publisher","first-page":"375","DOI":"10.1016\/j.cnsns.2014.08.038","volume":"22","author":"H Niu","year":"2015","unstructured":"Niu H, Wang J. Quantifying complexity of financial short-term time series by composite multiscale entropy measure. Commun Nonlinear Sci Numer Simul. 2015;22(1\u20133):375\u201382.","journal-title":"Commun Nonlinear Sci Numer Simul"},{"issue":"6","key":"2763_CR13","doi-asserted-by":"publisher","first-page":"1786","DOI":"10.1152\/japplphysiol.00390.2010","volume":"109","author":"M Brad","year":"2010","unstructured":"Brad M, Costa MD, Kun H, Elizabeth N, Olga S, Hyun Gu, K., Peng, C. K., Vera, N., Lipsitz, L. A.,. Physiological complexity and system adaptability: evidence from postural control dynamics of older adults. J Appl Physiol. 2010;109(6):1786\u201391.","journal-title":"J Appl Physiol"},{"key":"2763_CR14","doi-asserted-by":"crossref","unstructured":"Madalena, C.; Goldberger, A. L.; C-K, P., Multiscale entropy analysis of biological signals. Physical Review E Statistical Nonlinear & Soft Matter Physics. 2005;71(2 Pt 1);021906.","DOI":"10.1103\/PhysRevE.71.021906"},{"issue":"1","key":"2763_CR15","doi-asserted-by":"publisher","first-page":"10713","DOI":"10.1002\/pamm.200810713","volume":"8","author":"M Borowiec","year":"2010","unstructured":"Borowiec M, Sen AK, Litak G, Hunicz J, Kosza\u0142ka G, Niewczas A. Vibrations of a vehicle excited by real road profiles. Pamm. 2010;8(1):10713\u20134.","journal-title":"Pamm"},{"issue":"8","key":"2763_CR16","doi-asserted-by":"publisher","first-page":"705","DOI":"10.1103\/PhysRevLett.92.089803","volume":"92","author":"VV Nikulin","year":"2004","unstructured":"Nikulin VV, Tom B. Comment on \u201cMultiscale entropy analysis of complex physiologic time series.\u201d Phys Rev Lett. 2004;92(8):705\u20138.","journal-title":"Phys Rev Lett"},{"issue":"23","key":"2763_CR17","doi-asserted-by":"publisher","first-page":"5865","DOI":"10.1016\/j.physa.2013.07.075","volume":"392","author":"S-D Wu","year":"2013","unstructured":"Wu S-D, Wu C-W, Lee K-Y, Lin S-G. Modified multiscale entropy for short-term time series analysis. Physica A. 2013;392(23):5865\u201373.","journal-title":"Physica A"},{"issue":"3","key":"2763_CR18","doi-asserted-by":"publisher","first-page":"1069","DOI":"10.3390\/e15031069","volume":"15","author":"S-D Wu","year":"2013","unstructured":"Wu S-D, Wu C-W, Lin S-G, Wang C-C, Lee K-Y. Time Series Analysis Using Composite Multiscale Entropy. Entropy. 2013;15(3):1069\u201384.","journal-title":"Entropy"},{"key":"2763_CR19","doi-asserted-by":"crossref","unstructured":"Costa, M.; Al., G.; Ck., P., Multiscale entropy analysis of complex physiologic time series - art. no. 068102. Phys Rev Lett. 2002 (6);89.","DOI":"10.1103\/PhysRevLett.89.068102"},{"key":"2763_CR20","doi-asserted-by":"crossref","unstructured":"Costa, M.; Goldberger, A. L.; Peng, C. K., Multiscale entropy analysis of biological signals. Physical review, E. Statistical, Nonlinear, and Soft Matter Physics. 2005, (2 Pt.1);71.","DOI":"10.1103\/PhysRevE.71.021906"},{"issue":"9","key":"2763_CR21","doi-asserted-by":"publisher","first-page":"2202","DOI":"10.1109\/TBME.2009.2021986","volume":"56","author":"JF Valencia","year":"2009","unstructured":"Valencia JF, Porta A, Vallverdu M, Claria F, Baranowski R, Orlowska-Baranowska E, Caminal P. Refined Multiscale Entropy: Application to 24-h Holter Recordings of Heart Period Variability in Healthy and Aortic Stenosis Subjects. IEEE Trans Biomed Eng. 2009;56(9):2202\u201313.","journal-title":"IEEE Trans Biomed Eng"},{"key":"2763_CR22","doi-asserted-by":"publisher","first-page":"136","DOI":"10.3389\/fphys.2016.00136","volume":"7","author":"P Li","year":"2016","unstructured":"Li P, Karmakar C, Yan C, Palaniswami M, Liu C. Classification of 5-S Epileptic EEG Recordings Using Distribution Entropy and Sample Entropy. Front Physiol. 2016;7:136.","journal-title":"Front Physiol"},{"issue":"1","key":"2763_CR23","doi-asserted-by":"publisher","first-page":"77","DOI":"10.1007\/s11517-014-1216-0","volume":"53","author":"P Li","year":"2015","unstructured":"Li P, Liu C, Li K, Zheng D, Liu C, Hou Y. Assessing the complexity of short-term heartbeat interval series by distribution entropy. Med Biol Eng Compu. 2015;53(1):77\u201387.","journal-title":"Med Biol Eng Compu"},{"issue":"7","key":"2763_CR24","doi-asserted-by":"publisher","first-page":"1685","DOI":"10.1007\/s00477-013-0825-8","volume":"28","author":"F Serinaldi","year":"2014","unstructured":"Serinaldi F, Zunino L, Rosso OA. Complexity\u2013entropy analysis of daily stream flow time series in the continental United States. Stoch Env Res Risk Assess. 2014;28(7):1685\u2013708.","journal-title":"Stoch Env Res Risk Assess"},{"issue":"8","key":"2763_CR25","doi-asserted-by":"publisher","first-page":"1289","DOI":"10.1088\/0967-3334\/33\/8\/1289","volume":"33","author":"A Voss","year":"2012","unstructured":"Voss A, Heitmann A, Schroeder R, Peters A, Perz S. Short-term heart rate variability\u2014age dependence in healthy subjects. Physiol Meas. 2012;33(8):1289\u2013311.","journal-title":"Physiol Meas"},{"issue":"6","key":"2763_CR26","doi-asserted-by":"publisher","first-page":"1287","DOI":"10.1109\/TBME.2016.2600160","volume":"64","author":"A Porta","year":"2016","unstructured":"Porta A, Maria BD, Bari V, Marchi A, Faes L. Are Nonlinear Model-Free Conditional Entropy Approaches for the Assessment of Cardiac Control Complexity Superior to the Linear Model-Based One? IEEE Trans Biomed Eng. 2016;64(6):1287\u201396.","journal-title":"IEEE Trans Biomed Eng"},{"key":"2763_CR27","unstructured":"Alberto, P.; Vlasta, B.; Beatrice, D. M.; Beatrice, C.; Emanuele, V.; Mara, M.; Massimo, P.; Daniela, L., On the Relevance of Computing a Local Version of Sample Entropy in Cardiovascular Control Analysis. IEEE Transactions on Biomedical Engineering 2018, PP, 1\u20131."},{"issue":"7","key":"2763_CR28","doi-asserted-by":"publisher","first-page":"724","DOI":"10.3390\/e22070724","volume":"22","author":"A Porta","year":"2020","unstructured":"Porta A, Cairo B, Bari V, Maria BD, Gelpi F, Barbic F, Furlan R. Are Strategies Favoring Pattern Matching a Viable Way to Improve Complexity Estimation Based on Sample Entropy? Entropy. 2020;22(7):724.","journal-title":"Entropy."},{"issue":"6","key":"2763_CR29","doi-asserted-by":"publisher","first-page":"H2039","DOI":"10.1152\/ajpheart.2000.278.6.H2039","volume":"278","author":"JS Richman","year":"2000","unstructured":"Richman JS, Moorman JR. Physiological time-series analysis using approximate entropy and sample entropy. Am J Physiol Heart Circ Physiol. 2000;278(6):H2039.","journal-title":"Am J Physiol Heart Circ Physiol."},{"issue":"S6","key":"2763_CR30","doi-asserted-by":"publisher","first-page":"S2","DOI":"10.1186\/1471-2105-15-S6-S2","volume":"15","author":"CC Mayer","year":"2014","unstructured":"Mayer CC, Bachler M, H\u00f6rtenhuber M, Stocker C, Holzinger A, Wassertheurer S. Selection of entropy-measure parameters for knowledge discovery in heart rate variability data. Bmc Bioinform. 2014;15(S6):S2.","journal-title":"Bmc Bioinform."},{"key":"2763_CR31","doi-asserted-by":"publisher","first-page":"720","DOI":"10.3389\/fphys.2017.00720","volume":"8","author":"C Karmakar","year":"2017","unstructured":"Karmakar C, Udhayakumar RK, Li P, Venkatesh S, Palaniswami M. Stability, Consistency and Performance of Distribution Entropy in Analysing Short Length Heart Rate Variability (HRV) Signal. Front Physiol. 2017;8:720.","journal-title":"Front Physiol"},{"issue":"12","key":"2763_CR32","doi-asserted-by":"publisher","first-page":"952","DOI":"10.3390\/e20120952","volume":"20","author":"D-Y Lee","year":"2018","unstructured":"Lee D-Y, Choi Y-S. Multiscale Distribution Entropy Analysis of Short-Term Heart Rate Variability. Entropy. 2018;20(12):952.","journal-title":"Entropy"},{"key":"2763_CR33","doi-asserted-by":"crossref","unstructured":"Xu, P. Z., Sheng, Multiscale analysis of financial time series by Renyi distribution entropy. Physica, A. Statistical mechanics and its applications 2019, 536.","DOI":"10.1016\/j.physa.2019.04.152"},{"key":"2763_CR34","doi-asserted-by":"crossref","unstructured":"Xu, M.; Shang, P.; Zhang, S., Multiscale analysis of financial time series by R\u00e9nyi distribution entropy. Physica A: Statistical Mechanics and its Applications 2019, 120916.","DOI":"10.1016\/j.physa.2019.04.152"},{"issue":"2","key":"2763_CR35","doi-asserted-by":"publisher","first-page":"349","DOI":"10.1007\/s10439-012-0668-3","volume":"41","author":"JM Yentes","year":"2013","unstructured":"Yentes JM, Hunt N, Schmid KK, Kaipust JP, Mcgrath D, Stergiou N. The Appropriate Use of Approximate Entropy and Sample Entropy with Short Data Sets. Ann Biomed Eng. 2013;41(2):349\u201365.","journal-title":"Ann Biomed Eng"},{"key":"2763_CR36","doi-asserted-by":"crossref","unstructured":"Anne; Humeau-Heurtier, The Multiscale Entropy Algorithm and Its Variants: A Review. Entropy 2015;17(5);3110\u20133123.","DOI":"10.3390\/e17053110"},{"issue":"6","key":"2763_CR37","doi-asserted-by":"publisher","first-page":"2297","DOI":"10.1073\/pnas.88.6.2297","volume":"88","author":"SM Pincus","year":"1991","unstructured":"Pincus SM. Approximate entropy as a measure of system complexity. Proc Natl Acad SciUSA. 1991;88(6):2297\u2013301.","journal-title":"Proc Natl Acad SciUSA"},{"key":"2763_CR38","first-page":"283","volume":"3","author":"DE Lake","year":"2002","unstructured":"Lake DE, Richman JS, Griffin MP, Moorman JR. Sample entropy analysis of neonatal heart rate variability. Am J Physiol. 2002;3:283.","journal-title":"Am J Physiol"}],"container-title":["BMC Medical Informatics and Decision Making"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1186\/s12911-024-02763-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1186\/s12911-024-02763-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1186\/s12911-024-02763-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,11,19]],"date-time":"2024-11-19T20:03:48Z","timestamp":1732046628000},"score":1,"resource":{"primary":{"URL":"https:\/\/bmcmedinformdecismak.biomedcentral.com\/articles\/10.1186\/s12911-024-02763-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,11,19]]},"references-count":38,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2024,12]]}},"alternative-id":["2763"],"URL":"https:\/\/doi.org\/10.1186\/s12911-024-02763-1","relation":{"has-preprint":[{"id-type":"doi","id":"10.21203\/rs.3.rs-2815317\/v1","asserted-by":"object"}]},"ISSN":["1472-6947"],"issn-type":[{"value":"1472-6947","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,11,19]]},"assertion":[{"value":"14 April 2023","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"11 November 2024","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"19 November 2024","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"Not applicable.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Ethics approval and consent to participate"}},{"value":"Not applicable.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Consent for publication"}},{"value":"The authors declare no competing interests.","order":4,"name":"Ethics","group":{"name":"EthicsHeading","label":"Competing interests"}}],"article-number":"346"}}