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2024-12

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cc-by (c) Rivas, M. et al., 2024
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/220141

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

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https://doi.org/10.3390/sym16121570

Abstract

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.

Subject

Camps electromagnètics, Circuits elèctrics, Espais de Lorentz, Cervell

Subject (English)

Electromagnetic fields, Electric circuits, Lorentz spaces, Brain

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Articles publicats en revistes (Biologia Cel·lular, Fisiologia i Immunologia)

Citation

RIVAS, Manuel and REINA DEL POZO, Manuel. Covariant Formulation of the Brain’s Emerging Ohm’s Law. Symmetry. 2024. Vol. 16, num. 12, pags. 1-20. ISSN 2073-8994. [consulted: 19 of August of 2026]. Available at: https://hdl.handle.net/2445/220141

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