Spatial representability of neuronal activity

Abstract

A common approach to interpreting spiking activity is based on identifying the firing fields—regions in physical or configuration spaces that elicit responses of neurons. Common examples include hippocampal place cells that fire at preferred locations in the navigated environment, head direction cells that fire at preferred orientations of the animal’s head, view cells that respond to preferred spots in the visual field, etc. In all these cases, firing fields were discovered empirically, by trial and error. We argue that the existence and a number of properties of the firing fields can be established theoretically, through topological analyses of the neuronal spiking activity. In particular, we use Leray criterion powered by persistent homology theory, Eckhoff conditions and Region Connection Calculus to verify consistency of neuronal responses with a single coherent representation of space.

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Item Type:	Article
Authors/Creators:	Akhtiamov, D Cohn, AG https://orcid.org/0000-0002-7652-8907 Dabaghian, YA
Copyright, Publisher and Additional Information:	© The Author(s) 2021. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Dates:	Published: 25 October 2021 Accepted: 8 October 2021
Institution:	The University of Leeds
Academic Units:	The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Computing (Leeds)
Depositing User:	Symplectic Publications
Date Deposited:	26 Oct 2021 15:06
Last Modified:	10 Nov 2021 12:18
Status:	Published
Publisher:	Nature Research
Identification Number:	10.1038/s41598-021-00281-y
Open Archives Initiative ID (OAI ID):	oai:eprints.whiterose.ac.uk:179628

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Spatial representability of neuronal activity

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