Scale-free behavior of weight distributions of connectomes

To determine the precise link between anatomical structure and function, brain studies primarily concentrate on the anatomical wiring of the brain and its topological properties. In this work, we investigate the weighted degree and connection length distributions of the KKI-113 and KKI-18 human conn...

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Main Authors: Michelle Cirunay, Géza Ódor, István Papp, Gustavo Deco
Format: Article
Language:English
Published: American Physical Society 2025-02-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.7.013134
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author Michelle Cirunay
Géza Ódor
István Papp
Gustavo Deco
author_facet Michelle Cirunay
Géza Ódor
István Papp
Gustavo Deco
author_sort Michelle Cirunay
collection DOAJ
description To determine the precise link between anatomical structure and function, brain studies primarily concentrate on the anatomical wiring of the brain and its topological properties. In this work, we investigate the weighted degree and connection length distributions of the KKI-113 and KKI-18 human connectomes, the fruit fly, and the mouse retina. We find that the node strength (weighted degree) distribution behavior differs depending on the considered scale. On the global scale, the distributions are found to follow a power-law behavior, with a roughly universal exponent close to 3. However, this behavior breaks at the local scale as the node strength distributions of the KKI-18 follow a stretched exponential, and the fly and mouse retina follow the log-normal distribution, respectively, which are indicative of underlying random multiplicative processes and underpins nonlocality of learning in a brain close to the critical state. However, for the case of the KKI-113 and the H01 human (1mm^{3}) datasets, the local weighted degree distributions follow an exponentially truncated power law, which may hint at the fact that the critical learning mechanism may have manifested at the node level too.
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spelling doaj-art-0db8853fc1e441058d9bf20ef42c6a692025-02-05T17:17:13ZengAmerican Physical SocietyPhysical Review Research2643-15642025-02-017101313410.1103/PhysRevResearch.7.013134Scale-free behavior of weight distributions of connectomesMichelle CirunayGéza ÓdorIstván PappGustavo DecoTo determine the precise link between anatomical structure and function, brain studies primarily concentrate on the anatomical wiring of the brain and its topological properties. In this work, we investigate the weighted degree and connection length distributions of the KKI-113 and KKI-18 human connectomes, the fruit fly, and the mouse retina. We find that the node strength (weighted degree) distribution behavior differs depending on the considered scale. On the global scale, the distributions are found to follow a power-law behavior, with a roughly universal exponent close to 3. However, this behavior breaks at the local scale as the node strength distributions of the KKI-18 follow a stretched exponential, and the fly and mouse retina follow the log-normal distribution, respectively, which are indicative of underlying random multiplicative processes and underpins nonlocality of learning in a brain close to the critical state. However, for the case of the KKI-113 and the H01 human (1mm^{3}) datasets, the local weighted degree distributions follow an exponentially truncated power law, which may hint at the fact that the critical learning mechanism may have manifested at the node level too.http://doi.org/10.1103/PhysRevResearch.7.013134
spellingShingle Michelle Cirunay
Géza Ódor
István Papp
Gustavo Deco
Scale-free behavior of weight distributions of connectomes
Physical Review Research
title Scale-free behavior of weight distributions of connectomes
title_full Scale-free behavior of weight distributions of connectomes
title_fullStr Scale-free behavior of weight distributions of connectomes
title_full_unstemmed Scale-free behavior of weight distributions of connectomes
title_short Scale-free behavior of weight distributions of connectomes
title_sort scale free behavior of weight distributions of connectomes
url http://doi.org/10.1103/PhysRevResearch.7.013134
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AT gezaodor scalefreebehaviorofweightdistributionsofconnectomes
AT istvanpapp scalefreebehaviorofweightdistributionsofconnectomes
AT gustavodeco scalefreebehaviorofweightdistributionsofconnectomes