Covariant Formulation of the Brain’s Emerging Ohm’s Law

It is essential to establish the validity of Ohm’s law in any reference frame if we aim to implement a relativistic approach to brain dynamics based on a Lorentz covariant microscopic response relation. Here, we obtain a covariant formulation of Ohm’s law for an electromagnetic field tensor of any o...

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Detalles Bibliográficos
Autores: Rivas, Manuel, Reina del Pozo, Manuel
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2024
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/220141
Acceso en línea:https://hdl.handle.net/2445/220141
Access Level:acceso abierto
Palabra clave:Camps electromagnètics
Circuits elèctrics
Espais de Lorentz
Cervell
Electromagnetic fields
Electric circuits
Lorentz spaces
Brain
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spelling Covariant Formulation of the Brain’s Emerging Ohm’s LawRivas, ManuelReina del Pozo, ManuelCamps electromagnèticsCircuits elèctricsEspais de LorentzCervellElectromagnetic fieldsElectric circuitsLorentz spacesBrainIt is essential to establish the validity of Ohm’s law in any reference frame if we aim to implement a relativistic approach to brain dynamics based on a Lorentz covariant microscopic response relation. Here, we obtain a covariant formulation of Ohm’s law for an electromagnetic field tensor of any order derived from the emergent conductivity tensor in highly non-isotropic systems, employing the bidomain theory framework within brain tissue cells. With this, we offer a different perspective that we hope will lead to understanding the close relationship between brain dynamics and a seemingly ordinary yet profoundly crucial element: space.MDPI2024info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2445/220141Articles publicats en revistes (Biologia Cel·lular, Fisiologia i Immunologia)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésReproducció del document publicat a: https://doi.org/10.3390/sym16121570Symmetry, 2024, vol. 16, num.12, p. 1-20https://doi.org/10.3390/sym16121570cc-by (c) Rivas, M. et al., 2024http://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/2201412026-05-27T06:46:51Z
dc.title.none.fl_str_mv Covariant Formulation of the Brain’s Emerging Ohm’s Law
title Covariant Formulation of the Brain’s Emerging Ohm’s Law
spellingShingle Covariant Formulation of the Brain’s Emerging Ohm’s Law
Rivas, Manuel
Camps electromagnètics
Circuits elèctrics
Espais de Lorentz
Cervell
Electromagnetic fields
Electric circuits
Lorentz spaces
Brain
title_short Covariant Formulation of the Brain’s Emerging Ohm’s Law
title_full Covariant Formulation of the Brain’s Emerging Ohm’s Law
title_fullStr Covariant Formulation of the Brain’s Emerging Ohm’s Law
title_full_unstemmed Covariant Formulation of the Brain’s Emerging Ohm’s Law
title_sort Covariant Formulation of the Brain’s Emerging Ohm’s Law
dc.creator.none.fl_str_mv Rivas, Manuel
Reina del Pozo, Manuel
author Rivas, Manuel
author_facet Rivas, Manuel
Reina del Pozo, Manuel
author_role author
author2 Reina del Pozo, Manuel
author2_role author
dc.subject.none.fl_str_mv Camps electromagnètics
Circuits elèctrics
Espais de Lorentz
Cervell
Electromagnetic fields
Electric circuits
Lorentz spaces
Brain
topic Camps electromagnètics
Circuits elèctrics
Espais de Lorentz
Cervell
Electromagnetic fields
Electric circuits
Lorentz spaces
Brain
description It is essential to establish the validity of Ohm’s law in any reference frame if we aim to implement a relativistic approach to brain dynamics based on a Lorentz covariant microscopic response relation. Here, we obtain a covariant formulation of Ohm’s law for an electromagnetic field tensor of any order derived from the emergent conductivity tensor in highly non-isotropic systems, employing the bidomain theory framework within brain tissue cells. With this, we offer a different perspective that we hope will lead to understanding the close relationship between brain dynamics and a seemingly ordinary yet profoundly crucial element: space.
publishDate 2024
dc.date.none.fl_str_mv 2024
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/220141
url https://hdl.handle.net/2445/220141
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a: https://doi.org/10.3390/sym16121570
Symmetry, 2024, vol. 16, num.12, p. 1-20
https://doi.org/10.3390/sym16121570
dc.rights.none.fl_str_mv cc-by (c) Rivas, M. et al., 2024
http://creativecommons.org/licenses/by/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv cc-by (c) Rivas, M. et al., 2024
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv MDPI
publisher.none.fl_str_mv MDPI
dc.source.none.fl_str_mv Articles publicats en revistes (Biologia Cel·lular, Fisiologia i Immunologia)
reponame:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,811543

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