Cargando…
Griffiths phase on hierarchical modular networks with small-world edges
The Griffiths phase has been proposed to induce a stretched critical regime that facilitates self-organizing of brain networks for optimal function. This phase stems from the intrinsic structural heterogeneity of brain networks, i.e., the hierarchical modular structure. In this work, the Griffiths p...
Autor principal: | |
---|---|
Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
American Physical Society
2017
|
Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7217519/ https://www.ncbi.nlm.nih.gov/pubmed/28415342 http://dx.doi.org/10.1103/PhysRevE.95.032306 |
_version_ | 1783532616125775872 |
---|---|
author | Li, Shanshan |
author_facet | Li, Shanshan |
author_sort | Li, Shanshan |
collection | PubMed |
description | The Griffiths phase has been proposed to induce a stretched critical regime that facilitates self-organizing of brain networks for optimal function. This phase stems from the intrinsic structural heterogeneity of brain networks, i.e., the hierarchical modular structure. In this work, the Griffiths phase is studied in modified hierarchical networks with small-world connections based on the 3-regular Hanoi network. Through extensive simulations, the hierarchical level-dependent inter-module wiring probabilities are identified to determine the emergence of the Griffiths phase. Numerical results and the complementary spectral analysis of the relevant networks can be helpful for a deeper understanding of the essential structural characteristics of finite-dimensional networks to support the Griffiths phase. |
format | Online Article Text |
id | pubmed-7217519 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2017 |
publisher | American Physical Society |
record_format | MEDLINE/PubMed |
spelling | pubmed-72175192020-05-13 Griffiths phase on hierarchical modular networks with small-world edges Li, Shanshan Phys Rev E Articles The Griffiths phase has been proposed to induce a stretched critical regime that facilitates self-organizing of brain networks for optimal function. This phase stems from the intrinsic structural heterogeneity of brain networks, i.e., the hierarchical modular structure. In this work, the Griffiths phase is studied in modified hierarchical networks with small-world connections based on the 3-regular Hanoi network. Through extensive simulations, the hierarchical level-dependent inter-module wiring probabilities are identified to determine the emergence of the Griffiths phase. Numerical results and the complementary spectral analysis of the relevant networks can be helpful for a deeper understanding of the essential structural characteristics of finite-dimensional networks to support the Griffiths phase. American Physical Society 2017-03 2017-03-06 /pmc/articles/PMC7217519/ /pubmed/28415342 http://dx.doi.org/10.1103/PhysRevE.95.032306 Text en ©2017 American Physical Society This article is made available via the PMC Open Access Subset for unrestricted re-use and analyses in any form or by any means with acknowledgement of the original source. |
spellingShingle | Articles Li, Shanshan Griffiths phase on hierarchical modular networks with small-world edges |
title | Griffiths phase on hierarchical modular networks with small-world edges |
title_full | Griffiths phase on hierarchical modular networks with small-world edges |
title_fullStr | Griffiths phase on hierarchical modular networks with small-world edges |
title_full_unstemmed | Griffiths phase on hierarchical modular networks with small-world edges |
title_short | Griffiths phase on hierarchical modular networks with small-world edges |
title_sort | griffiths phase on hierarchical modular networks with small-world edges |
topic | Articles |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7217519/ https://www.ncbi.nlm.nih.gov/pubmed/28415342 http://dx.doi.org/10.1103/PhysRevE.95.032306 |
work_keys_str_mv | AT lishanshan griffithsphaseonhierarchicalmodularnetworkswithsmallworldedges |