Scale-free correlations in the dynamics of a small $(N\ensuremath{\sim}10000)$ cortical network

Scale-free correlations in the dynamics of a small $(N \sim 10000)$ cortical network

Sabrina Camargo, Daniel A. Martin, Eyisto J. Aguilar Trejo, Aylen de Florian, Maciej A. Nowak, Sergio A. Cannas, Tomás S. Grigera, and Dante R. Chialvo

Phys. Rev. E 108, 034302 – Published 7 September 2023

Abstract

The advent of novel optogenetics technology allows the recording of brain activity with a resolution never seen before. The characterization of these very large data sets offers new challenges as well as unique theory-testing opportunities. Here we discuss whether the spatial and temporal correlations of the collective activity of thousands of neurons are tangled as predicted by the theory of critical phenomena. The analysis shows that both the correlation length $ξ$ and the correlation time $τ$ scale as predicted as a function of the system size. With some peculiarities that we discuss, the analysis uncovers evidence consistent with the view that the large-scale brain cortical dynamics corresponds to critical phenomena.

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Received 21 October 2022
Revised 14 April 2023
Accepted 16 August 2023

DOI:https://doi.org/10.1103/PhysRevE.108.034302

Physics Subject Headings (PhySH)

Collective behavior Critical phenomena Neuronal avalanches Neuroscience, neural computation & artificial intelligence

Statistical Physics & ThermodynamicsPhysics of Living Systems

Authors & Affiliations

Sabrina Camargo ^1,2,*, Daniel A. Martin ^1,2, Eyisto J. Aguilar Trejo ^1,2, Aylen de Florian¹, Maciej A. Nowak³, Sergio A. Cannas ^2,4, Tomás S. Grigera ^2,5,6,7, and Dante R. Chialvo ^1,2

¹Instituto de Ciencias Físicas (ICIFI-CONICET), Center for Complex Systems and Brain Sciences (CEMSC3), Escuela de Ciencia y Tecnología, Universidad Nacional de Gral. San Martín, Campus Miguelete, 25 de Mayo y Francia, 1650 San Martín, Buenos Aires, Argentina
²Consejo Nacional de Investigaciones Científicas y Tecnológicas (CONICET), Godoy Cruz 2290, 1425 Buenos Aires, Argentina
³Mark Kac Center for Complex Systems Research and Institute for Theoretical Physics, Jagiellonian University, PL-30348 Kraków, Poland
⁴Facultad de Matemática Astronomía Física y Computación, Universidad Nacional de Córdoba, Instituto de Física Enrique Gaviola (IFEG-CONICET), Ciudad Universitaria, 5000 Córdoba, Argentina
⁵Instituto de Física de Líquidos y Sistemas Biológicos (IFLySiB), CONICET and Universidad Nacional de La Plata, Calle 59 n 789, 1900 La Plata, Argentina
⁶Departamento de Física, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, 1900 La Plata, Argentina
⁷Istituto dei Sistemi Complessi, Consiglio Nazionale delle Ricerche, via dei Taurini 19, 00185 Rome, Italy

^*scamargo@unsam.edu.ar

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Vol. 108, Iss. 3 — September 2023

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Physical Review E

covering statistical, nonlinear, biological, and soft matter physics

Scale-free correlations in the dynamics of a small $(N \sim 10000)$ cortical network

Sabrina Camargo, Daniel A. Martin, Eyisto J. Aguilar Trejo, Aylen de Florian, Maciej A. Nowak, Sergio A. Cannas, Tomás S. Grigera, and Dante R. Chialvo

Phys. Rev. E 108, 034302 – Published 7 September 2023

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Physical Review E

covering statistical, nonlinear, biological, and soft matter physics

Scale-free correlations in the dynamics of a small (N∼10000) cortical network

Sabrina Camargo, Daniel A. Martin, Eyisto J. Aguilar Trejo, Aylen de Florian, Maciej A. Nowak, Sergio A. Cannas, Tomás S. Grigera, and Dante R. Chialvo

Phys. Rev. E 108, 034302 – Published 7 September 2023

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Scale-free correlations in the dynamics of a small $(N \sim 10000)$ cortical network