title: Methodological framework for estimating the correlation dimension in HRV signals.
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, called D₂, D(2(⊥)), and D(2(max)). D₂ and D(2(max)) estimate the theoretical value of correlation dimension for the Lorenz attractor with relative error of 4%, and D(2(⊥)) 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. D₂ keeps the 81% of accuracy previously described in the literature while D(2(⊥)) and D(2(max)) approaches reach 91% of accuracy in the same database.
authors.affiliation: Communications Technology Group (GTC), Aragón Institute for Engineering Research (I3A), IIS Aragón, University of Zaragoza, 50018 Zaragoza, Spain ; CIBER de Bioingeniería, Biomateriales y Nanomedicina (CIBER-BBN), 50018 Zaragoza, Spain.
authors.forename: Juan
authors.initials: J
authors.lastname: Bolea
authors.affiliation: Communications Technology Group (GTC), Aragón Institute for Engineering Research (I3A), IIS Aragón, University of Zaragoza, 50018 Zaragoza, Spain ; CIBER de Bioingeniería, Biomateriales y Nanomedicina (CIBER-BBN), 50018 Zaragoza, Spain.
authors.forename: Pablo
authors.initials: P
authors.lastname: Laguna
authors.affiliation: Anaesthesiology Service, Miguel Servet University Hospital, 50009 Zaragoza, Spain ; Medicine School, University of Zaragoza, 50009 Zaragoza, Spain.
authors.forename: José María
authors.initials: JM
authors.lastname: Remartínez
authors.affiliation: Anaesthesiology Service, Miguel Servet University Hospital, 50009 Zaragoza, Spain ; Medicine School, University of Zaragoza, 50009 Zaragoza, Spain.
authors.forename: Eva
authors.initials: E
authors.lastname: Rovira
authors.affiliation: Anaesthesiology Service, Miguel Servet University Hospital, 50009 Zaragoza, Spain ; Medicine School, University of Zaragoza, 50009 Zaragoza, Spain ; Aragón Health Sciences Institute (IACS), 50009 Zaragoza, Spain.
authors.forename: Augusto
authors.initials: A
authors.lastname: Navarro
authors.affiliation: Communications Technology Group (GTC), Aragón Institute for Engineering Research (I3A), IIS Aragón, University of Zaragoza, 50018 Zaragoza, Spain ; CIBER de Bioingeniería, Biomateriales y Nanomedicina (CIBER-BBN), 50018 Zaragoza, Spain.
authors.forename: Raquel
authors.initials: R
authors.lastname: Bailón
mesh_terms: D000465:Algorithms; D000775:Anesthesia, Spinal / Q000379:methods; D002585:Cesarean Section; D003627:Data Interpretation, Statistical; D005260:Female; D006339:Heart Rate; D006801:Humans; D007022:Hypotension / Q000175:diagnosis; D011247:Pregnancy; D012372:ROC Curve; D015203:Reproducibility of Results; D012815:Signal Processing, Computer-Assisted; D012984:Software