Fig. 1: Higher-order brain mapping: schematic of the approach and applications. | Nature Communications

Fig. 1: Higher-order brain mapping: schematic of the approach and applications.

From: Higher-order connectomics of human brain function reveals local topological signatures of task decoding, individual identification, and behavior

Fig. 1

a We start from fMRI brain data, which can be encoded into brain signals (i.e., Blood Oxygen Level Dependent (BOLD) fluctuations) from N regions. Signals can encode synchronized pairwise interactions (highlighted in light purple) and group interactions (highlighted in gray). b After reconstructing the co-fluctuation time series at each group order (i.e., edges, triangles, k-bodies, etc), c our instantaneous topological framework enables a time-resolved exploration of the significance of group interactions in comparison to pairwise interactions, encoded within a simplicial structure, using topological data analysis tools. d From this structure, we then extract instantaneous snapshots of brain dynamics in terms of two different topological structures, namely, the higher-order coherent structures and the homological scaffold. e To gain more insights into the importance of these higher-order structures during rests or cognitive tasks, we consider three different neuroscience applications, such as: fMRI task decoding, functional brain fingerprinting, and brain-behavior association.

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