Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Brain Network Modeling Based on Mutual Information and Graph Theory for Predicting the Connection Mechanism in the Development of Alzheimer's Disease

Version 1 : Received: 19 January 2019 / Approved: 21 January 2019 / Online: 21 January 2019 (16:55:13 CET)

A peer-reviewed article of this Preprint also exists.

Si, S.; Wang, B.; Liu, X.; Yu, C.; Ding, C.; Zhao, H. Brain Network Modeling Based on Mutual Information and Graph Theory for Predicting the Connection Mechanism in the Progression of Alzheimer’s Disease. Entropy 2019, 21, 300. Si, S.; Wang, B.; Liu, X.; Yu, C.; Ding, C.; Zhao, H. Brain Network Modeling Based on Mutual Information and Graph Theory for Predicting the Connection Mechanism in the Progression of Alzheimer’s Disease. Entropy 2019, 21, 300.

Abstract

Abnormal connections in brain networks of healthy people always bring the problems of cognitive impairments and degeneration of specific brain circuits, which may finally result in Alzheimer’s disease (AD). Exploring the development of the brain from normal controls (NC) to AD is an essential part of human research. Although connections changes have been found in the development, the connection mechanism that drives these changes remain incompletely understood. The purpose of this study is to explore the connection changes in brain networks in the process from NC to AD, and uncover the underlying connection mechanism that shapes the topologies of AD brain networks. In particular, we propose a model named MINM from the perspective of topology-based mutual information to achieve our aim. MINM concerns the question of estimating the connection probability between two cortical regions with the consideration of both the mutual information of their observed network topologies and their Euclidean distance in anatomical space. In addition, MINM considers establishing and deleting connections, simultaneously, during the networks modeling from the stage of NC to AD. Experiment results show that MINM is sufficient to capture an impressive range of topological properties of real brain networks such as characteristic path length, network efficiency, and transitivity, and it also provides an excellent fit to the real brain networks in degree distribution compared to experiential models. Thus, we anticipate that MINM may explain the connection mechanism for the formation of the brain network organization in AD patients.

Keywords

Alzheimer's disease; graph theory; mutual information; network model; connection mechanism; functional magnetic resonance imaging; topological structures; anatomical distance

Subject

Physical Sciences, Applied Physics

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