title: Formation of functional associations across time scales in the fetal autonomic control system--a multifractal analysis.
abstract: During fetal development, different control systems mediated by the autonomic nervous system form functional connections over a wide range of time scales. Using multiscale multifractal analysis (MMA) of fetal heart rate variability (HRV), we describe fundamental relationships in the developing scale-wide adjustments within fetal behavior states as well as across state changes. MMA yields the local Hurst exponent surface h(q,s) with q as the multifractal parameter and s as the scale. In 30-minute recordings of healthy fetuses between 24 and 36weeks of gestation (n=25 in quiet sleep, n=29 in active sleep, n=30 changing sleep state) we investigated the dependency of h(q,s) on gestation age. In univariate models, we found a decreasing persistence for short scales and small amplitudes in the quiet (s1=39, q1=-0.7, R(2)=0.52) and in the active (s1=69, q1=-1.4, R(2)=0.23) sleep in contrast to an increasing persistency for long scales and large amplitudes (s1=147, q1=2.4, R(2)=0.29) in the mixed state. Bivariate models (additional scales considered) presented increased coefficients of determination R(2)=0.56, 0.4, and 0.43, respectively. Persistency increasing with age in connection with the sleep state changes (independent of the age related short range dependencies within the separate homogeneous sleep states) is reported here for the first time. The MMA indices obtained for the fetal HRV represent characteristics of the maturating scale-wide cardiovascular control in the context of the evolving sleep state dynamics, which have so far not been considered. They should be incorporated in the search for HRV indices for prenatal diagnosis of developmental disorders and risk assessment.
authors.affiliation: Faculty of Physics, Warsaw University of Technology, Warsaw, Poland. Electronic address: gieraltowski@if.pw.edu.pl.
authors.forename: J
authors.initials: J
authors.lastname: Gierałtowski
authors.affiliation: Jena University Hospital, Biomagnetic Center, Hans Berger Department of Neurology, Friedrich Schiller University, Jena, Germany.
authors.forename: D
authors.initials: D
authors.lastname: Hoyer
authors.affiliation: Jena University Hospital, Department of Obstetrics, Friedrich Schiller University, Jena, Germany.
authors.forename: U
authors.initials: U
authors.lastname: Schneider
authors.affiliation: Faculty of Physics, Warsaw University of Technology, Warsaw, Poland.
authors.forename: J J
authors.initials: JJ
authors.lastname: Żebrowski
mesh_terms: D000293:Adolescent; D000328:Adult; D001341:Autonomic Nervous System / Q000196:embryology*; D005260:Female; D017709:Fractals; D005865:Gestational Age; D006340:Heart Rate, Fetal / Q000502:physiology*; D006801:Humans; D008297:Male; D008954:Models, Biological; D011247:Pregnancy; D012890:Sleep / Q000502:physiology; D013997:Time Factors; D055815:Young Adult
keywords: Fetal heart rate variability; Multifractal analysis; Multiscale analysis