2020
DOI: 10.1016/j.physa.2020.124475
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Network properties of healthy and Alzheimer brains

Abstract: Small-world structures are often used to describe structural connections in the brain. In this work, we compare the strucutural connection of cortical areas of a healthy brain and a brain affected by Alzheimer's disease with artificial small-world networks. Based on statistics analysis, we demonstrate that similar smallworld networks can be constructed using Newman-Watts procedure. The network quantifiers of both structural matrices are identified inside the probabilistic valley. Despite of similarities betwee… Show more

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Cited by 18 publications
(6 citation statements)
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“…A positive assortativity coefficient indicates a network with a resilient core due to the interconnected nodes of high degree [124]. This measure was also associated with AD in several works [129,130] whose results showed an increase in the assortativity value in contrast to what was found here, where with the use of ayahuasca the assortativity value (median) decreased (see on the Figure 12-(b)). It should be noted that although the median value decreased, the upper confidence interval of the distribution increased.…”
Section: Complex Network Measuressupporting
confidence: 56%
“…A positive assortativity coefficient indicates a network with a resilient core due to the interconnected nodes of high degree [124]. This measure was also associated with AD in several works [129,130] whose results showed an increase in the assortativity value in contrast to what was found here, where with the use of ayahuasca the assortativity value (median) decreased (see on the Figure 12-(b)). It should be noted that although the median value decreased, the upper confidence interval of the distribution increased.…”
Section: Complex Network Measuressupporting
confidence: 56%
“…A positive assortativity coefficient indicates a network with a resilient core due to the interconnected nodes of high degree [128]. This measure was also associated with AD in several works [133,134] whose results showed an increase in the assortativity value in contrast to what was found here, where with the use of ayahuasca, the assortativity value (median) decreased (see on Fig 12). It should be noted that although the median value decreased, the upper confidence interval of the distribution increased.…”
Section: Complex Network Measuressupporting
confidence: 54%
“…Graph theory serves as a foundational mathematical framework for examining graphs [37][38][39] , which are structures composed of nodes representing brain regions interconnected by edges signifying functional connectivity between these regions. We converted the undirected graphs into sparse ones by applying a threshold that retained the top 19% of the strongest weights 40,41 .…”
Section: Graph Theorymentioning
confidence: 99%