Abstract

Recently, non-linear statistical measures such as multi-scale entropy (MSE) have been introduced as indices of the complexity of electrophysiology and fMRI time-series across multiple time scales. In this work, we investigated the neurophysiological underpinnings of complexity (MSE) of electrophysiology and fMRI signals and their relations to functional connectivity (FC). MSE and FC analyses were performed on simulated data using neural mass model based brain network model with the Brain Dynamics Toolbox, on animal models with concurrent recording of fMRI and electrophysiology in conjunction with pharmacological manipulations, and on resting-state fMRI data from the Human Connectome Project. Our results show that the complexity of regional electrophysiology and fMRI signals is positively correlated with network FC. The associations between MSE and FC are dependent on the temporal scales or frequencies, with higher associations between MSE and FC at lower temporal frequencies. Our results from theoretical modeling, animal experiment and human fMRI indicate that (1) Regional neural complexity and network FC may be two related aspects of brain's information processing: the more complex regional neural activity, the higher FC this region has with other brain regions; (2) MSE at high and low frequencies may represent local and distributed information processing across brain regions. Based on literature and our data, we propose that the complexity of regional neural signals may serve as an index of the brain's capacity of information processing—increased complexity may indicate greater transition or exploration between different states of brain networks, thereby a greater propensity for information processing.

Highlights

  • Neural ComplexityComplexity is a key feature characterizing the behavior of physiological systems of a living organism (Lipsitz, 2004)

  • We found that the overall network functional connectivity (FC) is inversely related to the overall network multi-scale entropy (MSE) at higher temporal frequencies (0.347–0.694 Hz) across subjects while positively correlated to MSE at lower temporal frequencies (0.020–0.087 Hz; Figure 7)

  • Recent fMRI studies have shown that the temporal variation of FC is non-stationary with dynamic changes within time scales of seconds to minutes, and an resting state fMRI (rs-fMRI) scan is characterized by frequent transitions between a repertoire of reoccurring short-term connectivity patterns termed “FC states” (Chang and Glover, 2010; Hutchison et al, 2013a,b; Allen et al, 2014)

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Summary

BACKGROUND

Complexity is a key feature characterizing the behavior of physiological systems of a living organism (Lipsitz, 2004). BNMs integrate NMMs with research findings of complex brain networks (Jirsa et al, 2010; Mejias et al, 2016), since dynamics within each NMM results from both local population activity and influences of other NMMs, and here the coupling of NMMs is informed by anatomical connectivity such as the primate CoCoMac and diffusion MRI-based data (i.e., structure-functional model). This feature makes BNMs a favorable tool in simulation studies aimed to understand and interpret resting-state fMRI data. Our data suggest that high frequency fMRI fluctuations may contribute to understanding the dynamic organization of brain networks in rs-fMRI (Cabral et al, 2017)

DISCUSSION
Findings
Limitations and Caveats of Complexity Analysis
CONCLUSION
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