A multiscale analysis of the temporal characteristics of resting-state fMRI data

Cheolwoo Park, Nicole A. Lazar, Jeongyoun Ahn, Andrew Sornborger

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19 Scopus citations


In this paper, we conduct an investigation of the null hypothesis distribution for functional magnetic resonance imaging (fMRI) time series using multiscale analysis tools, SiZer (significance of zero crossings of the derivative) and wavelets. Most current approaches to the analysis of fMRI data assume simple models for temporal (short term or long term) dependence structure. Such simplifications are to some extent necessary due to the complex, high-dimensional nature of the data, but to date there have been few systematic studies of the dependence structures under a range of possible null hypotheses, using data sets gathered specifically for that purpose. We aim to address some of these issues by analyzing the detrended data with a long enough time horizon to study possible long-range temporal dependence. Our multiscale approach shows that even for resting-state data, data, i.e. " null" or ambient thought, some voxel time series cannot be modeled by white noise and need long-range dependent type error structure. This finding suggests the use of different time series models in different parts of the brain in fMRI studies.

Original languageEnglish
Pages (from-to)334-342
Number of pages9
JournalJournal of Neuroscience Methods
Issue number2
StatePublished - 30 Nov 2010
Externally publishedYes


  • Hurst parameter
  • Long-range dependence
  • Principal component analysis
  • Sizer
  • Spectrum
  • Wavelet


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