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
Descripción
Sumario: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.