ArticleFrontiers in physiology2022
Spatiotemporal Patterns in a General Networked Hindmarsh-Rose Model.
Article in Frontiers in physiology, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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Who cites it
3 citing papers in PubMed.
- Hamiltonian energy in a modified Hindmarsh-Rose model.Frontiers in network physiology · 2024Article
- A Bio-Inspired Chaos Sensor Model Based on the Perceptron Neural Network: Machine Learning Concept and Application for Computational Neuro-Science.Sensors (Basel, Switzerland) · 2023Article
- Turing instability mechanism of short-memory formation in multilayer FitzHugh-Nagumo network.Frontiers in psychiatry · 2023Article
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Authors and funding
5 authors.
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Abstract
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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