Spatial and temporal correlations in neural networks with structured connectivity

Shi, Yan-Liang, Zeraati, Roxana, Levina, Anna, Engel, Tatiana A (July 2022) Spatial and temporal correlations in neural networks with structured connectivity. arXiv. (Submitted)

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DOI: 10.48550/arXiv.2207.07930

Abstract

Correlated fluctuations in the activity of neural populations reflect the network's dynamics and connectivity. The temporal and spatial dimensions of neural correlations are interdependent. However, prior theoretical work mainly analyzed correlations in either spatial or temporal domains, oblivious to their interplay. We show that the network dynamics and connectivity jointly define the spatiotemporal profile of neural correlations. We derive analytical expressions for pairwise correlations in networks of binary units with spatially arranged connectivity in one and two dimensions. We find that spatial interactions among units generate multiple timescales in auto- and cross-correlations. Each timescale is associated with fluctuations at a particular spatial frequency, making a hierarchical contribution to the correlations. External inputs can modulate the correlation timescales when spatial interactions are nonlinear, and the modulation effect depends on the operating regime of network dynamics. These theoretical results open new ways to relate connectivity and dynamics in cortical networks via measurements of spatiotemporal neural correlations.

Item Type: Paper
Subjects: organs, tissues, organelles, cell types and functions > tissues types and functions > neural networks
CSHL Authors:
Communities: CSHL labs > Engel lab
SWORD Depositor: CSHL Elements
Depositing User: CSHL Elements
Date: 16 July 2022
Date Deposited: 13 Oct 2023 17:24
Last Modified: 27 Dec 2023 19:20
Related URLs:
URI: https://repository.cshl.edu/id/eprint/41255

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