{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,22]],"date-time":"2026-03-22T04:39:49Z","timestamp":1774154389399,"version":"3.50.1"},"reference-count":26,"publisher":"Wiley","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100004837","name":"The Ministerio de Ciencia e Innovaci\u00f3n","doi-asserted-by":"crossref","award":["TEC2010-21703-C03-02"],"award-info":[{"award-number":["TEC2010-21703-C03-02"]}],"id":[{"id":"10.13039\/501100004837","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computational and Mathematical Methods in Medicine"],"published-print":{"date-parts":[[2014]]},"abstract":"This paper presents a methodological framework for robust estimation of the correlation dimension in HRV signals. It includes (i) a fast algorithm for on-line computation of correlation sums; (ii) log-log curves fitting to a sigmoidal function for robust maximum slope estimation discarding the estimation according to fitting requirements; (iii) three different approaches for linear region slope estimation based on latter point; and (iv) exponential fitting for robust estimation of saturation level of slope series with increasing embedded dimension to finally obtain the correlation dimension estimate. Each approach for slope estimation leads to a correlation dimension estimate, calledD<\/mml:mi><\/mml:mrow>^<\/mml:mo><\/mml:mover><\/mml:mrow>2<\/mml:mn><\/mml:mrow><\/mml:msub><\/mml:mrow><\/mml:math>,D<\/mml:mi><\/mml:mrow>^<\/mml:mo><\/mml:mover><\/mml:mrow>2<\/mml:mn>\u22a5<\/mml:mo><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:msub><\/mml:mrow><\/mml:math>, andD<\/mml:mi><\/mml:mrow>^<\/mml:mo><\/mml:mover><\/mml:mrow>2<\/mml:mn>max<\/mml:mtext><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:msub><\/mml:mrow><\/mml:math>.D<\/mml:mi><\/mml:mrow>^<\/mml:mo><\/mml:mover><\/mml:mrow>2<\/mml:mn><\/mml:mrow><\/mml:msub><\/mml:mrow><\/mml:math>andD<\/mml:mi><\/mml:mrow>^<\/mml:mo><\/mml:mover><\/mml:mrow>2<\/mml:mn>max<\/mml:mtext><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:msub><\/mml:mrow><\/mml:math>estimate the theoretical value of correlation dimension for the Lorenz attractor with relative error of 4%, andD<\/mml:mi><\/mml:mrow>^<\/mml:mo><\/mml:mover><\/mml:mrow>2<\/mml:mn>\u22a5<\/mml:mo><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:msub><\/mml:mrow><\/mml:math>with 1%. The three approaches are applied to HRV signals of pregnant women before spinal anesthesia for cesarean delivery in order to identify patients at risk for hypotension.D<\/mml:mi><\/mml:mrow>^<\/mml:mo><\/mml:mover><\/mml:mrow>2<\/mml:mn><\/mml:mrow><\/mml:msub><\/mml:mrow><\/mml:math>keeps the 81% of accuracy previously described in the literature whileD<\/mml:mi><\/mml:mrow>^<\/mml:mo><\/mml:mover><\/mml:mrow>2<\/mml:mn>\u22a5<\/mml:mo><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:msub><\/mml:mrow><\/mml:math>andD<\/mml:mi><\/mml:mrow>^<\/mml:mo><\/mml:mover><\/mml:mrow>2<\/mml:mn>max<\/mml:mtext><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:msub><\/mml:mrow><\/mml:math>approaches reach 91% of accuracy in the same database.<\/jats:p>","DOI":"10.1155\/2014\/129248","type":"journal-article","created":{"date-parts":[[2014,1,30]],"date-time":"2014-01-30T16:15:08Z","timestamp":1391098508000},"page":"1-11","source":"Crossref","is-referenced-by-count":23,"title":["Methodological Framework for Estimating the Correlation Dimension in HRV Signals"],"prefix":"10.1155","volume":"2014","author":[{"given":"Juan","family":"Bolea","sequence":"first","affiliation":[{"name":"Communications Technology Group (GTC), Arag\u00f3n Institute for Engineering Research (I3A), IIS Arag\u00f3n, University of Zaragoza, 50018 Zaragoza, Spain"},{"name":"CIBER de Bioingenier\u00eda, Biomateriales y Nanomedicina (CIBER-BBN), 50018 Zaragoza, Spain"}]},{"given":"Pablo","family":"Laguna","sequence":"additional","affiliation":[{"name":"Communications Technology Group (GTC), Arag\u00f3n Institute for Engineering Research (I3A), IIS Arag\u00f3n, University of Zaragoza, 50018 Zaragoza, Spain"},{"name":"CIBER de Bioingenier\u00eda, Biomateriales y Nanomedicina (CIBER-BBN), 50018 Zaragoza, Spain"}]},{"given":"Jos\u00e9 Mar\u00eda","family":"Remart\u00ednez","sequence":"additional","affiliation":[{"name":"Anaesthesiology Service, Miguel Servet University Hospital, 50009 Zaragoza, Spain"},{"name":"Medicine School, University of Zaragoza, 50009 Zaragoza, Spain"}]},{"given":"Eva","family":"Rovira","sequence":"additional","affiliation":[{"name":"Anaesthesiology Service, Miguel Servet University Hospital, 50009 Zaragoza, Spain"},{"name":"Medicine School, University of Zaragoza, 50009 Zaragoza, Spain"}]},{"given":"Augusto","family":"Navarro","sequence":"additional","affiliation":[{"name":"Anaesthesiology Service, Miguel Servet University Hospital, 50009 Zaragoza, Spain"},{"name":"Medicine School, University of Zaragoza, 50009 Zaragoza, Spain"},{"name":"Arag\u00f3n Health Sciences Institute (IACS), 50009 Zaragoza, Spain"}]},{"given":"Raquel","family":"Bail\u00f3n","sequence":"additional","affiliation":[{"name":"Communications Technology Group (GTC), Arag\u00f3n Institute for Engineering Research (I3A), IIS Arag\u00f3n, University of Zaragoza, 50018 Zaragoza, Spain"},{"name":"CIBER de Bioingenier\u00eda, Biomateriales y Nanomedicina (CIBER-BBN), 50018 Zaragoza, Spain"}]}],"member":"311","reference":[{"issue":"3","key":"1","doi-asserted-by":"crossref","first-page":"354","DOI":"10.1093\/oxfordjournals.eurheartj.a014868","volume":"17","year":"1996","journal-title":"European Heart Journal"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/S0378-4371(02)01383-3"},{"issue":"1","key":"3","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1109\/TIT.1976.1055501","volume":"22","year":"1976","journal-title":"IEEE Transactions on Information Theory"},{"issue":"3","key":"4","doi-asserted-by":"crossref","first-page":"285","DOI":"10.1016\/0167-2789(85)90011-9","volume":"16","year":"1985","journal-title":"Physica D"},{"issue":"4","key":"5","doi-asserted-by":"crossref","first-page":"H1643","DOI":"10.1152\/ajpheart.1994.266.4.H1643","volume":"266","year":"1994","journal-title":"American Journal of Physiology\u2014Heart and Circulatory Physiology"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.93.5.2083"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1109\/TBME.2006.883789"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/0169-2607(96)01762-2"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1213\/01.ANE.0000140953.40059.E6"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-00846-2_176"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.50.346"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.34.2427"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1364\/JOSAA.7.001055"},{"key":"15","year":"2004"},{"issue":"1-2","key":"16","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1016\/S0167-2789(98)00100-6","volume":"121","year":"1998","journal-title":"Physica D"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2012.07.003"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0091924"},{"key":"19","year":"2007"},{"issue":"1","key":"20","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1111\/j.1365-2818.1984.tb00461.x","volume":"133","year":"1984","journal-title":"Journal of Microscopy"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/31\/16\/012"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1039\/c1sm05252g"},{"issue":"2","key":"24","doi-asserted-by":"crossref","first-page":"130","DOI":"10.1175\/1520-0469(1963)020<0130:DNF>2.0.CO;2","volume":"20","year":"1963","journal-title":"Journal of Atmospheric Science"},{"key":"25","doi-asserted-by":"publisher","DOI":"10.1109\/TBME.2003.808831"},{"issue":"2-3","key":"26","doi-asserted-by":"crossref","first-page":"88","DOI":"10.1016\/0375-9601(95)00392-G","volume":"203","year":"1995","journal-title":"Physics Letters A"},{"issue":"1-2","key":"27","doi-asserted-by":"crossref","first-page":"48","DOI":"10.1016\/S0167-2789(98)00240-1","volume":"127","year":"1999","journal-title":"Physica D"},{"issue":"4","key":"28","volume":"18","year":"2006","journal-title":"Cochrane Database of Systematic Reviews"}],"container-title":["Computational and Mathematical Methods in Medicine"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/cmmm\/2014\/129248.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/cmmm\/2014\/129248.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/cmmm\/2014\/129248.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T00:49:22Z","timestamp":1565138962000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/cmmm\/2014\/129248\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":26,"alternative-id":["129248","129248"],"URL":"https:\/\/doi.org\/10.1155\/2014\/129248","relation":{},"ISSN":["1748-670X","1748-6718"],"issn-type":[{"value":"1748-670X","type":"print"},{"value":"1748-6718","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014]]}}}