Work

Topological Neuroscience: Linking Circuits to Function

Year: 2025

Type: review

Abstract: We review recent developments of the use of topology in neuroscience. From grid cells and head direction cells to the geometry of olfactory space, modern applied topology methods such as persistent homology are increasingly being used to study neural circuits and perception. In addition to outlining the big picture and reviewing various applications of topological data analysis (TDA) to neuroscience, we take a deep dive into the basic homology computation to make the underlying mathematics more accessible to neuroscientists. A discussion of practical considerations and pointers to TDA software are also included.

Source: Annual Review of Neuroscience

DOI: 10.1146/annurev-neuro-112723-034315

Authors: Carina Curto, Nicole Sanderson

Institution: Brown University

Language: English

Topic: Topological and Geometric Data Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Funder: National Institute of Neurological Disorders and Stroke

Award: CRCNS: Circuit dynamics in zebrafish larvae: mechanisms, modulation, and mathematical modeling of network topology and attractor dynamics