Graph coarse-graining reveals differences in the module-level structure of functional brain networks

• Published in: The European journal of neuroscience Vol. 44; no. 9; pp. 2673 - 2684
• Main Authors: Kujala, Rainer, Glerean, Enrico, Pan, Raj Kumar, Jääskeläinen, Iiro P., Sams, Mikko, Saramäki, Jari
• Format: Journal Article
• Language: English
• Published: France Blackwell Publishing Ltd 01.11.2016
• Subjects: community detection; Connectome; functional connectivity; functional magnetic resonance imaging; Humans; Magnetic Resonance Imaging; Models, Neurological; modularity; Visual Cortex - physiology; Visual Perception; functional connectivity; modularity; community detection; functional magnetic resonance imaging
• ISSN: 0953-816X; 1460-9568; 1460-9568
• DOI: 10.1111/ejn.13392

Networks have become a standard tool for analyzing functional magnetic resonance imaging (fMRI) data. In this approach, brain areas and their functional connections are mapped to the nodes and links of a network. Even though this mapping reduces the complexity of the underlying data, it remains challenging to understand the structure of the resulting networks due to the large number of nodes and links. One solution is to partition networks into modules and then investigate the modules’ composition and relationship with brain functioning. While this approach works well for single networks, understanding differences between two networks by comparing their partitions is difficult and alternative approaches are thus necessary. To this end, we present a coarse‐graining framework that uses a single set of data‐driven modules as a frame of reference, enabling one to zoom out from the node‐ and link‐level details. As a result, differences in the module‐level connectivity can be understood in a transparent, statistically verifiable manner. We demonstrate the feasibility of the method by applying it to networks constructed from fMRI data recorded from 13 healthy subjects during rest and movie viewing. While independently partitioning the rest and movie networks is shown to yield little insight, the coarse‐graining framework enables one to pinpoint differences in the module‐level structure, such as the increased number of intra‐module links within the visual cortex during movie viewing. In addition to quantifying differences due to external stimuli, the approach could also be applied in clinical settings, such as comparing patients with healthy controls. Understanding differences in the intermediate‐level structure of whole‐brain functional networks is a challenging task, for which no standard solution exists. To this end, we present a data‐driven graph coarse‐graining method, and apply it to functional magnetic resonance imaging data recorded during rest and movie viewing. The method is able to detect statistically verifiable, easy‐to‐interpret differences between a fixed set of data‐driven network modules.