Detecting spatiotemporal nonlinear dynamics in resting state of human brain based on fMRI datasets

In this work, a nonlinear dynamics method, coupled map lattices, was applied to functional magnetic resonance imaging (fMRI) datasets to examine the spatiotemporal properties of resting state blood oxygen level-dependent (BOLD) fluctuations. Spatiotemporal Lyapunov Exponent (SPLE) was calculated to...

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Bibliographic Details
Published inApplied mathematics and computation Vol. 205; no. 1; pp. 19 - 25
Main Authors Xie, Xiaoping, Cao, Zhitong, Weng, Xuchu
Format Journal Article Conference Proceeding
LanguageEnglish
Published Amsterdam Elsevier Inc 01.11.2008
Elsevier
Subjects
Exact sciences and technology
fMRI
Global analysis, analysis on manifolds
Mathematical analysis
Mathematics
Nonlinear dynamics
Numerical analysis
Numerical analysis. Scientific computation
Ordinary differential equations
Partial differential equations
Resting state
Sciences and techniques of general use
Spatiotemporal chaos
Spatiotemporal Lyapunov Exponent
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
fMRI
Nonlinear dynamics
Resting state
Spatiotemporal chaos
Spatiotemporal Lyapunov Exponent
Chaos
Human
Correlation
fMRl
Numerical analysis
Applied mathematics
Lyapunov exponent
Nonlinearity
Resonance
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Summary:In this work, a nonlinear dynamics method, coupled map lattices, was applied to functional magnetic resonance imaging (fMRI) datasets to examine the spatiotemporal properties of resting state blood oxygen level-dependent (BOLD) fluctuations. Spatiotemporal Lyapunov Exponent (SPLE) was calculated to study the deterministic nonlinearity in resting state human brain of nine subjects based on fMRI datasets. The results show that there is nonlinearity and determinism in resting state human brain. Furthermore, the results demonstrate that there is a spatiotemporal chaos phenomenon in resting state brain, and suggest that fluctuations of fMRI data in resting state brain cannot be fully attributed to nuclear magnetic resonance noise. At the same time, the spatiotemporal chaos phenomenon suggests that the correlation between voxels varies with time and there is a dynamic functional connection or network in resting state human brain.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2008.05.102