Work

Riemannian Topological Analysis of Neuronal Activity

Year: 2025

Type: article

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 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.

Source: Symmetry

DOI: 10.3390/sym17030412

Authors: Manuel Rivas, Manuel Reina

Institutions: Universitat de Barcelona, Universitat Politècnica de Catalunya

Language: English

Topic: Topological and Geometric Data Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

Funder: Fundació Bosch i Gimpera