Author:
Akhtiamov D.,Cohn A. G.,Dabaghian Y.
Abstract
AbstractA 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.
Funder
European Research Council, under the European Unions Horizon 2020 Research and Innovation program
Alan Turing Institute Fellowship and EPSRC
National Science Foundation USA
Publisher
Springer Science and Business Media LLC
Cited by
1 articles.
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