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Complex Dynamics of Propagating Waves in a Two-Dimensional Neural Field

Propagating waves with complex dynamics have been widely observed in neural population activity. To understand their formation mechanisms, we investigate a type of two-dimensional neural field model by systematically varying its recurrent excitatory and inhibitory inputs. We show that the neural fie...

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Autores principales: Naoumenko, Daniel, Gong, Pulin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Frontiers Media S.A. 2019
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6682636/
https://www.ncbi.nlm.nih.gov/pubmed/31417385
http://dx.doi.org/10.3389/fncom.2019.00050
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author Naoumenko, Daniel
Gong, Pulin
author_facet Naoumenko, Daniel
Gong, Pulin
author_sort Naoumenko, Daniel
collection PubMed
description Propagating waves with complex dynamics have been widely observed in neural population activity. To understand their formation mechanisms, we investigate a type of two-dimensional neural field model by systematically varying its recurrent excitatory and inhibitory inputs. We show that the neural field model exhibits a rich repertoire of dynamical activity states when the relevant strength of excitation and inhibition is increased, ranging from localized rotating and traveling waves to global waves. Particularly, near the transition between stable states of rotating and traveling waves, the model exhibits a bistable state; that is, both the rotating and the traveling waves can exist, and the inclusion of noise can induce spontaneous transitions between them. Furthermore, we demonstrate that when there are multiple propagating waves, they exhibit rich collective propagation dynamics with variable propagating speeds and trajectories. We use techniques from time series analysis such detrended fluctuation analysis to characterize the effect of the strength of excitation and inhibition on these collective dynamics, which range from purely random motion to motion with long-range spatiotemporal correlations. These results provide insights into the possible contribution of excitation and inhibition toward a range of previously observed spatiotemporal wave phenomena.
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spelling pubmed-66826362019-08-15 Complex Dynamics of Propagating Waves in a Two-Dimensional Neural Field Naoumenko, Daniel Gong, Pulin Front Comput Neurosci Neuroscience Propagating waves with complex dynamics have been widely observed in neural population activity. To understand their formation mechanisms, we investigate a type of two-dimensional neural field model by systematically varying its recurrent excitatory and inhibitory inputs. We show that the neural field model exhibits a rich repertoire of dynamical activity states when the relevant strength of excitation and inhibition is increased, ranging from localized rotating and traveling waves to global waves. Particularly, near the transition between stable states of rotating and traveling waves, the model exhibits a bistable state; that is, both the rotating and the traveling waves can exist, and the inclusion of noise can induce spontaneous transitions between them. Furthermore, we demonstrate that when there are multiple propagating waves, they exhibit rich collective propagation dynamics with variable propagating speeds and trajectories. We use techniques from time series analysis such detrended fluctuation analysis to characterize the effect of the strength of excitation and inhibition on these collective dynamics, which range from purely random motion to motion with long-range spatiotemporal correlations. These results provide insights into the possible contribution of excitation and inhibition toward a range of previously observed spatiotemporal wave phenomena. Frontiers Media S.A. 2019-07-30 /pmc/articles/PMC6682636/ /pubmed/31417385 http://dx.doi.org/10.3389/fncom.2019.00050 Text en Copyright © 2019 Naoumenko and Gong. http://creativecommons.org/licenses/by/4.0/ This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
spellingShingle Neuroscience
Naoumenko, Daniel
Gong, Pulin
Complex Dynamics of Propagating Waves in a Two-Dimensional Neural Field
title Complex Dynamics of Propagating Waves in a Two-Dimensional Neural Field
title_full Complex Dynamics of Propagating Waves in a Two-Dimensional Neural Field
title_fullStr Complex Dynamics of Propagating Waves in a Two-Dimensional Neural Field
title_full_unstemmed Complex Dynamics of Propagating Waves in a Two-Dimensional Neural Field
title_short Complex Dynamics of Propagating Waves in a Two-Dimensional Neural Field
title_sort complex dynamics of propagating waves in a two-dimensional neural field
topic Neuroscience
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6682636/
https://www.ncbi.nlm.nih.gov/pubmed/31417385
http://dx.doi.org/10.3389/fncom.2019.00050
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