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Spatiotemporal Patterns in a General Networked Hindmarsh-Rose Model

Neuron modelling helps to understand the brain behavior through the interaction between neurons, but its mechanism remains unclear. In this paper, the spatiotemporal patterns is investigated in a general networked Hindmarsh-Rose (HR) model. The stability of the network-organized system without delay...

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Autores principales: Zheng, Qianqian, Shen, Jianwei, Zhang, Rui, Guan, Linan, Xu, Yong
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Frontiers Media S.A. 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9273822/
https://www.ncbi.nlm.nih.gov/pubmed/35837013
http://dx.doi.org/10.3389/fphys.2022.936982
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author Zheng, Qianqian
Shen, Jianwei
Zhang, Rui
Guan, Linan
Xu, Yong
author_facet Zheng, Qianqian
Shen, Jianwei
Zhang, Rui
Guan, Linan
Xu, Yong
author_sort Zheng, Qianqian
collection PubMed
description Neuron modelling helps to understand the brain behavior through the interaction between neurons, but its mechanism remains unclear. In this paper, the spatiotemporal patterns is investigated in a general networked Hindmarsh-Rose (HR) model. The stability of the network-organized system without delay is analyzed to show the effect of the network on Turing instability through the Hurwitz criterion, and the conditions of Turing instability are obtained. Once the analysis of the zero-delayed system is completed, the critical value of the delay is derived to illustrate the profound impact of the given network on the collected behaviors. It is found that the difference between the collected current and the outgoing current plays a crucial role in neuronal activity, which can be used to explain the generation mechanism of the short-term memory. Finally, the numerical simulation is presented to verify the proposed theoretical results.
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spelling pubmed-92738222022-07-13 Spatiotemporal Patterns in a General Networked Hindmarsh-Rose Model Zheng, Qianqian Shen, Jianwei Zhang, Rui Guan, Linan Xu, Yong Front Physiol Physiology Neuron modelling helps to understand the brain behavior through the interaction between neurons, but its mechanism remains unclear. In this paper, the spatiotemporal patterns is investigated in a general networked Hindmarsh-Rose (HR) model. The stability of the network-organized system without delay is analyzed to show the effect of the network on Turing instability through the Hurwitz criterion, and the conditions of Turing instability are obtained. Once the analysis of the zero-delayed system is completed, the critical value of the delay is derived to illustrate the profound impact of the given network on the collected behaviors. It is found that the difference between the collected current and the outgoing current plays a crucial role in neuronal activity, which can be used to explain the generation mechanism of the short-term memory. Finally, the numerical simulation is presented to verify the proposed theoretical results. Frontiers Media S.A. 2022-06-28 /pmc/articles/PMC9273822/ /pubmed/35837013 http://dx.doi.org/10.3389/fphys.2022.936982 Text en Copyright © 2022 Zheng, Shen, Zhang, Guan and Xu. https://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 Physiology
Zheng, Qianqian
Shen, Jianwei
Zhang, Rui
Guan, Linan
Xu, Yong
Spatiotemporal Patterns in a General Networked Hindmarsh-Rose Model
title Spatiotemporal Patterns in a General Networked Hindmarsh-Rose Model
title_full Spatiotemporal Patterns in a General Networked Hindmarsh-Rose Model
title_fullStr Spatiotemporal Patterns in a General Networked Hindmarsh-Rose Model
title_full_unstemmed Spatiotemporal Patterns in a General Networked Hindmarsh-Rose Model
title_short Spatiotemporal Patterns in a General Networked Hindmarsh-Rose Model
title_sort spatiotemporal patterns in a general networked hindmarsh-rose model
topic Physiology
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9273822/
https://www.ncbi.nlm.nih.gov/pubmed/35837013
http://dx.doi.org/10.3389/fphys.2022.936982
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