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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...
Autores principales: | , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Frontiers Media S.A.
2022
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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. |
format | Online Article Text |
id | pubmed-9273822 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2022 |
publisher | Frontiers Media S.A. |
record_format | MEDLINE/PubMed |
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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