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Items for "Fractals"

Nonlinear Dynamics of Respiratory Patterns during Maturation

OBJECTIVES: In this paper, we quantify the fractal scaling characteristics of phrenic neurograms during eupnea in piglets, the output of the respiratory neural network that accompany maturation We also attempt to investigate whether the fractal properties are altered with maturation. METHODS: The phrenic neurogram in piglets was recorded from the C5 phrenic nerve during eupnea at four postnatal ages; the 3-6 days, the 7-14 days, 15-21 days and the 26-31 days age groups and analyzed using the maximum likelihood estimator (MLE). RESULTS: Our results suggest that the mean fractal measures over a recording of five consecutive breaths during eupnea for each piglet in each group were higher during the first 6 days and slightly decreased for the 7-14 days and significantly decreased for the 15-21 days and significantly increased for subsequent maturation (the 26-31 days old group). CONCLUSIONS: We suggest that there is a significant alteration in the fractal organization in piglet respiratory patterns during maturation and a decrease in the fractal value is unique to the 15-21 days old group.

Keywords: Fractals, maturation, phrenic neurograms, eupnea

01/2004 | Methods of Information in Medicine, Schattauer
On classification of singular measures and fractal properties of quasi-self-affine measures in R2

A multidimensional classification of singularly continuous (w.r.t. the Lebesgue measure) probability measures in R2 is introduced and a theorem on canonical representation of such measures is proven...

Keywords: Singularly continuous probability measures, Q*-representation of real numbers, -representation, self-affine sets, Fractals, Hausdorff dimension, DP-transformations, classification of singular measures

01/2008 | Random Operators and Stochastic Equations, Walter de Gruyter