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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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 |
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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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