{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:37:19Z","timestamp":1760146639360,"version":"build-2065373602"},"reference-count":51,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2024,11,23]],"date-time":"2024-11-23T00:00:00Z","timestamp":1732320000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>It is essential to establish the validity of Ohm\u2019s 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\u2019s 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.<\/jats:p>","DOI":"10.3390\/sym16121570","type":"journal-article","created":{"date-parts":[[2024,11,25]],"date-time":"2024-11-25T05:21:32Z","timestamp":1732512092000},"page":"1570","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Covariant Formulation of the Brain\u2019s Emerging Ohm\u2019s Law"],"prefix":"10.3390","volume":"16","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1261-4408","authenticated-orcid":false,"given":"Manuel","family":"Rivas","sequence":"first","affiliation":[{"name":"Celltec-UB, Department of Cell Biology, Physiology and Immunology, University of Barcelona, Av\/Diagonal, 643, 08028 Barcelona, Spain"},{"name":"Departament d\u2019Enginyeria Qu\u00edmica, EEBE, Universitat Polit\u00e8cnica de Catalunya, C\/Eduard Maristany, 10-14, 08930 Barcelona, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0701-200X","authenticated-orcid":false,"given":"Manuel","family":"Reina","sequence":"additional","affiliation":[{"name":"Celltec-UB, Department of Cell Biology, Physiology and Immunology, University of Barcelona, Av\/Diagonal, 643, 08028 Barcelona, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,11,23]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1091","DOI":"10.1016\/j.neuroimage.2010.08.075","article-title":"A novel approach to the human connectome: Ultra-high resolution mapping of fiber tracts in the brain","volume":"54","author":"Axer","year":"2011","journal-title":"Neuroimage"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"2529","DOI":"10.1002\/hbm.24542","article-title":"Searching for the neurite density with diffusion MRI: Challenges for biophysical modeling","volume":"40","author":"Lampinen","year":"2019","journal-title":"Hum. 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