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 Cañas, Manuel|||0000-0002-8884-3410, Reina Del pozo, Manuel
Tipo de recurso: artículo
Fecha de publicación:2024
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/425532
Acceso en línea:https://hdl.handle.net/2117/425532
https://dx.doi.org/10.3390/sym16121570
Access Level:acceso abierto
Palabra clave:Ohm’s law
Relativistic electromagnetism
Emergent conductivity tensor
Covariant derivative
Àrees temàtiques de la UPC::Enginyeria química
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spelling Covariant formulation of the brain’s emerging Ohm’s lawRivas Cañas, Manuel|||0000-0002-8884-3410Reina Del pozo, ManuelOhm’s lawRelativistic electromagnetismEmergent conductivity tensorCovariant derivativeÀrees temàtiques de la UPC::Enginyeria químicaIt 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.Multidisciplinary Digital Publishing Institute (MDPI)20242024-12-0120252025-03-03journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/425532https://dx.doi.org/10.3390/sym16121570reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/4255322026-05-27T15:37:01Z
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 Cañas, Manuel|||0000-0002-8884-3410
Ohm’s law
Relativistic electromagnetism
Emergent conductivity tensor
Covariant derivative
Àrees temàtiques de la UPC::Enginyeria química
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 Cañas, Manuel|||0000-0002-8884-3410
Reina Del pozo, Manuel
author Rivas Cañas, Manuel|||0000-0002-8884-3410
author_facet Rivas Cañas, Manuel|||0000-0002-8884-3410
Reina Del pozo, Manuel
author_role author
author2 Reina Del pozo, Manuel
author2_role author
dc.subject.none.fl_str_mv Ohm’s law
Relativistic electromagnetism
Emergent conductivity tensor
Covariant derivative
Àrees temàtiques de la UPC::Enginyeria química
topic Ohm’s law
Relativistic electromagnetism
Emergent conductivity tensor
Covariant derivative
Àrees temàtiques de la UPC::Enginyeria química
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
2024-12-01
2025
2025-03-03
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/425532
https://dx.doi.org/10.3390/sym16121570
url https://hdl.handle.net/2117/425532
https://dx.doi.org/10.3390/sym16121570
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Multidisciplinary Digital Publishing Institute (MDPI)
publisher.none.fl_str_mv Multidisciplinary Digital Publishing Institute (MDPI)
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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