Abstract

The spatial complexity of neural signals, which was traditionally quantified by omega complexity, varies inversely with the global functional connectivity level across distinct region-of-interests, thus provides a novel approach in functional connectivity analysis. However, the measures in omega complexity are sensitive to the number of neural time-series. Here, normalized spatial complexity was suggested to overcome the above limitation, and was verified by the functional near-infrared spectroscopy (fNIRS) data from a previous published autism spectrum disorder (ASD) research. By this new method, several conclusions consistent with traditional approaches on the pathological mechanisms of ASD were found, i.e., the prefrontal cortex made a major contribution to the hypo-connectivity of young children with ASD. Moreover, some novel findings were also detected (e.g., significantly higher normalized regional spatial complexities of bilateral prefrontal cortices and the variability of normalized local complexity differential of right temporal lobe, and the regional differences of measures in normalized regional spatial complexity), which could not be successfully detected via traditional approaches. These results confirmed the value of this novel approach, and extended the methodology system of functional connectivity. This novel technique could be applied to the neural signal of other neuroimaging techniques and other neurological and cognitive conditions.

Highlights

  • The spatial complexity of neural signals, which was traditionally quantified by omega complexity, varies inversely with the global functional connectivity level across distinct region-of-interests, provides a novel approach in functional connectivity analysis

  • Analysis of the time-averaged or dynamic functional connectivity metrics, which were derived from brain signals recorded by functional magnetic resonance imaging, functional near-infrared spectroscopy, electroencephalography (EEG) or magnetoencephalography (MEG), revealed that large-scale and coherent brain networks were modulated by various psychiatric disorders and cognitive processes, and exhibited temporal dynamics on sub-second timescales[2,5,6,7,8,9,10]

  • Since the metrics in omega complexity could be significantly influenced by the number of channels, it’s natural that (1) the time-averaged and variability of regional spatial complexities of bilateral occipital lobes were significantly smaller than those of bilateral prefrontal cortices and bilateral temporal lobes; (2) the time-averaged local complexity differential (LCD) derived from traditional omega complexity of most brain regions were significantly larger than zero. These time-averaged LCDs did not show any significant region difference. All these results indicate that metrics in traditional omega complexity would distort the relative spatial complexity level between brain regions and the contribution of each brain region to the global spatial complexity, which can be correctly detected by the normalized spatial complexity proposed here

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Summary

Introduction

The spatial complexity of neural signals, which was traditionally quantified by omega complexity, varies inversely with the global functional connectivity level across distinct region-of-interests, provides a novel approach in functional connectivity analysis. Some novel findings were detected (e.g., significantly higher normalized regional spatial complexities of bilateral prefrontal cortices and the variability of normalized local complexity differential of right temporal lobe, and the regional differences of measures in normalized regional spatial complexity), which could not be successfully detected via traditional approaches These results confirmed the value of this novel approach, and extended the methodology system of functional connectivity. If these neural activities are completely independent between each other, the omega complexity is highest (i.e., the omega complexity is equal to the number of ROIs in this case) In this approach, several measures, including global spatial complexity (GSC), regional spatial complexity (RSC) and local complexity differential (LCD), have been developed[16]. Group differences marked by *** are corresponding to the significance level 0.001 (FDR-corrected)

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