Abstract

Successive patterns of activation and deactivation in local areas of the brain indicate the mechanisms of information processing in the brain. It is possible that this process can be optimized by principles, such as the maximization of mutual information and the minimization of energy consumption. In the present paper, I showed evidence for this argument by demonstrating the correlation among mutual information, the energy of the activation, and the activation patterns. Modeling the information processing based on the functional connectome datasets of the human brain, I simulated information transfer in this network structure. Evaluating the statistical quantities of the different network states, I clarified the correlation between them. First, I showed that mutual information and network energy have a close relationship, and that the values are maximized and minimized around a same network state. This implies that there is an optimal network state in the brain that is organized according to the principles regarding mutual information and energy. On the other hand, the evaluation of the network structure revealed that the characteristic network structure known as the criticality also emerges around this state. These results imply that the characteristic features of the functional network are also affected strongly by these principles. To assess the functional aspects of this state, I investigated the output activation patterns in response to random input stimuli. Measuring the redundancy of the responses in terms of the number of overlapping activation patterns, the results indicate that there is a negative correlation between mutual information and the redundancy in the patterns, suggesting that there is a trade-off between communication efficiency and robustness due to redundancy, and the principles of mutual information and network energy are important to network formation and its function in the human brain.

Highlights

  • Interactions of ∼100 billion neurons, which are a part of the human brain, maintain its functions within a hierarchical and modular network structure (Azevedo et al, 2009; Meunier et al, 2010; Park and Friston, 2013)

  • Because activity in the brain can be observed as activation and deactivation in local regions, signal transmission associated with information processing can be described in terms of successive changing at each site, with positive or negative activation (Beggs and Plenz, 2003; Fox et al, 2005; Ghazanfar and Schroeder, 2006; Shmuel et al, 2006; Beggs, 2008; Bressler and Menon, 2010; Takagi, 2018)

  • I modeled information transfer in the brain based on a dataset of the human functional connectome

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Summary

Introduction

Interactions of ∼100 billion neurons, which are a part of the human brain, maintain its functions within a hierarchical and modular network structure (Azevedo et al, 2009; Meunier et al, 2010; Park and Friston, 2013). Over the years, studying task evoked brain activity via whole-brain imaging has been successful in mapping specific cognitive functions onto distinct regions of the human brain (e.g., Kanwisher et al, 1997). In the large-scale networks of the human brain, activation signals from segregated and specialized regions are integrated in information processing (Tononi et al, 1994; Hilgetag and Grant, 2000; Sporns, 2013). The need to maximize efficiency of information processing and minimize total energy consumption may regulate the mechanisms underlying the structure and the function of the brain (Linsker, 1990; Friston, 2010; Bullmore and Sporns, 2012)

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