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Keywords = toroidal brain topology

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18 pages, 1250 KiB  
Article
Riemannian Topological Analysis of Neuronal Activity
by Manuel Rivas and Manuel Reina
Symmetry 2025, 17(3), 412; https://doi.org/10.3390/sym17030412 - 9 Mar 2025
Viewed by 496
Abstract
Cerebral dynamics emerge from the brain’s substrate due to the anatomical patterns of its physical connections, which we know are not a fixed structure but are subject to temporal and local modifications. This circumstance makes it possible for a more or less fixed [...] Read more.
Cerebral dynamics emerge from the brain’s substrate due to the anatomical patterns of its physical connections, which we know are not a fixed structure but are subject to temporal and local modifications. This circumstance makes it possible for a more or less fixed number of neurons to generate a range of complex networks. By studying the topological space associated with these physical connections and their geometric dynamics, we can use Differential Geometry to study the foundations of the brain’s connectome. Full article
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