Pattern of frustration formation in the functional brain network

Abstract

The brain is a frustrated system that contains conflictual link arrangements named frustration. The frustration as a source of disorder prevents the system from settling into low energy states and provides flexibility for brain network organization. In this research, we tried to identify the pattern of frustration formation in the brain at the levels of region, connection, canonical network, and hemisphere. We found that frustration formation has no uniform pattern. Some subcortical elements have an active role in frustration formation, despite low contributions from many cortical elements. Frustrating connections are mostly between-network connections and triadic frustrations are mainly formed between three regions from three distinct canonical networks. We did not find any significant differences between brain hemispheres or any robust differences between the frustration formation patterns of various lifespan stages. Our results may be interesting for those who study the organization of brain links and promising for those who want to manipulate brain networks.

Geometrically frustrated systems which are as singles hotter than in company

“…However, one has to admit, that it is a great step from our simple GFS with equivalent mutual interactions between all spins to neural networks in which the interaction between units is adjusted during learning. But the fact that even in the brain, as a biological network, the concept of frustration in the physical sense, emerges [30], should be an impetus for further work in this field. )…”