Detrended Fluctuation Analysis: A Scale-Free View on Neuronal Oscillations

By R. Hardstone, Simon-Shlomo Poil, G. Schiavone, R. Jansen, Vadim V. Nikulin, Huibert D. Mansvelder, K. Linkenkaer-Hansen. Front. Physio., 2012

511 citations recorded by the source corpus.

Recent years of research have shown that the complex temporal structure of ongoing oscillations is scale-free and characterized by long-range temporal correlations. Detrended fluctuation analysis (DFA) has proven particularly useful, revealing that genetic variation, normal development, or disease can lead to differences in the scale-free amplitude modulation of oscillations. Furthermore, amplitude dynamics is remarkably independent of the time-averaged oscillation power, indicating that the DFA provides unique insights into the functional organization of neuronal systems. To facilitate understanding and encourage wider use of scaling analysis of neuronal oscillations, we provide a pedagogical explanation of the DFA algorithm and its underlying theory. Practical advice on applying DFA to oscillations is supported by MATLAB scripts from the Neurophysiological Biomarker Toolbox (NBT) and links to the NBT tutorial website http://www.nbtwiki.net/. Finally, we provide a brief overview of insights derived from the application of DFA to ongoing oscillations in health and disease, and discuss the putative relevance of criticality for understanding the mechanism underlying scale-free modulation of oscillations.

Subfields: Cognitive Neuroscience, Computer Networks and Communications, Economics and Econometrics

View Paper: https://www.semanticscholar.org/paper/2938498085df02b7bfdb0b3b1fab86614f740f36

Citations in the corpus

• p-exponent and p-leaders, Part II: Multifractal Analysis. Relations to Detrended Fluctuation Analysis (2015, unknown): “[23,63,64], always perform an integration of the data, X(t) → ∫ t X(s)ds, as a preliminary step (hence implicitly assuming that for the integrated data, h > 0).”
• Neuronal oscillatory imbalances in GNAO1‐related disorders associated with disease severity (2025, unknown): “15,29,30 In our study, children with GNAO1 -”