Scale-Change Symmetry in the Rules Governing Neural Systems

Summary: Similar universal phenomena can emerge in different complex systems when those systems share a common symmetry in their governing laws. In physical systems operating near a critical phase transition, the governing physical laws obey a fractal symmetry; they are the same whether considered a...

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Main Authors: Vidit Agrawal, Srimoy Chakraborty, Thomas Knöpfel, Woodrow L. Shew
Format: Article
Language:English
Published: Elsevier 2019-02-01
Series:iScience
Online Access:http://www.sciencedirect.com/science/article/pii/S2589004219300094
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author Vidit Agrawal
Srimoy Chakraborty
Thomas Knöpfel
Woodrow L. Shew
author_facet Vidit Agrawal
Srimoy Chakraborty
Thomas Knöpfel
Woodrow L. Shew
author_sort Vidit Agrawal
collection DOAJ
description Summary: Similar universal phenomena can emerge in different complex systems when those systems share a common symmetry in their governing laws. In physical systems operating near a critical phase transition, the governing physical laws obey a fractal symmetry; they are the same whether considered at fine or coarse scales. This scale-change symmetry is responsible for universal critical phenomena found across diverse systems. Experiments suggest that the cerebral cortex can also operate near a critical phase transition. Thus we hypothesize that the laws governing cortical dynamics may obey scale-change symmetry. Here we develop a practical approach to test this hypothesis. We confirm, using two different computational models, that neural dynamical laws exhibit scale-change symmetry near a dynamical phase transition. Moreover, we show that as a mouse awakens from anesthesia, scale-change symmetry emerges. Scale-change symmetry of the rules governing cortical dynamics may explain observations of similar critical phenomena across diverse neural systems. : Statistical Mechanics; Systems Neuroscience; Mathematical Biosciences Subject Areas: Statistical Mechanics, Systems Neuroscience, Mathematical Biosciences
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spelling doaj.art-f1f4a7c056a74b9abb1027cdb5ae0e202022-12-21T23:01:56ZengElsevieriScience2589-00422019-02-0112121131Scale-Change Symmetry in the Rules Governing Neural SystemsVidit Agrawal0Srimoy Chakraborty1Thomas Knöpfel2Woodrow L. Shew3Department of Physics, University of Arkansas, Fayetteville, AR 72701, USADepartment of Physics, University of Arkansas, Fayetteville, AR 72701, USALaboratory for Neuronal Circuit Dynamics, Faculty of Medicine Imperial College London, London W12 0NN, UK; Centre for Neurotechnology, Institute of Biomedical Engineering, Imperial College London, London SW7 2AZ, UKDepartment of Physics, University of Arkansas, Fayetteville, AR 72701, USA; Corresponding authorSummary: Similar universal phenomena can emerge in different complex systems when those systems share a common symmetry in their governing laws. In physical systems operating near a critical phase transition, the governing physical laws obey a fractal symmetry; they are the same whether considered at fine or coarse scales. This scale-change symmetry is responsible for universal critical phenomena found across diverse systems. Experiments suggest that the cerebral cortex can also operate near a critical phase transition. Thus we hypothesize that the laws governing cortical dynamics may obey scale-change symmetry. Here we develop a practical approach to test this hypothesis. We confirm, using two different computational models, that neural dynamical laws exhibit scale-change symmetry near a dynamical phase transition. Moreover, we show that as a mouse awakens from anesthesia, scale-change symmetry emerges. Scale-change symmetry of the rules governing cortical dynamics may explain observations of similar critical phenomena across diverse neural systems. : Statistical Mechanics; Systems Neuroscience; Mathematical Biosciences Subject Areas: Statistical Mechanics, Systems Neuroscience, Mathematical Bioscienceshttp://www.sciencedirect.com/science/article/pii/S2589004219300094
spellingShingle Vidit Agrawal
Srimoy Chakraborty
Thomas Knöpfel
Woodrow L. Shew
Scale-Change Symmetry in the Rules Governing Neural Systems
iScience
title Scale-Change Symmetry in the Rules Governing Neural Systems
title_full Scale-Change Symmetry in the Rules Governing Neural Systems
title_fullStr Scale-Change Symmetry in the Rules Governing Neural Systems
title_full_unstemmed Scale-Change Symmetry in the Rules Governing Neural Systems
title_short Scale-Change Symmetry in the Rules Governing Neural Systems
title_sort scale change symmetry in the rules governing neural systems
url http://www.sciencedirect.com/science/article/pii/S2589004219300094
work_keys_str_mv AT viditagrawal scalechangesymmetryintherulesgoverningneuralsystems
AT srimoychakraborty scalechangesymmetryintherulesgoverningneuralsystems
AT thomasknopfel scalechangesymmetryintherulesgoverningneuralsystems
AT woodrowlshew scalechangesymmetryintherulesgoverningneuralsystems