Dynamical Analysis of HR-FN Neuron Model Bidirectional Coupled by Locally Active Hyperbolic Memristor and Circuit Implementation

Yan, Yilin; Sun, Junwei; Ma, Yongxing; Yang, Jianling; Liu, Peng; Wang, Yanfeng

doi:10.1109/icaci55529.2022.9837693

Cited by 3 publications

(1 citation statement)

References 23 publications

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“…In summary, this paper introduces the intramembrane cavitation effect into the coupled neuron (Hindmarsh-Rose, HR) model (Shen et al 2022;Yan et al 2022), Newman Watts (NW) small-world neural network (Newman and Watts 1999)and Jansen-Rit neuron mass model (Kazemi and Jamali 2022). The desynchronization regulation of TUS was explored from the mathematical models of the microscopic cellular level and the macroscopic epileptic disease level, providing a theoretical method of finding the optimal ultrasound parameters, biophysical mechanisms of ultrasound modulation, and theoretical guidance for the regulation of neurological diseases by ultrasound.…”

Section: Introductionmentioning

confidence: 99%

Desynchronization of neuronal firing in multiparameter transcranial ultrasound stimulation

Bian

Ai²,

Yuan

2023

Preprint

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Low-intensity transcranial ultrasound stimulation, a novel neuromodulation technique, that possesses the advantages of non-invasiveness, high penetration depth, and high spatial resolution, has achieved positive neuromodulation effects in animal studies. But the regulatory mechanism remains controversial. The intramembrane cavitation effect is considered one of the mechanisms for ultrasound neuromodulation. In this study, the modified equations of ultrasonic cavitation bubble dynamics were coupled with the dual-coupled neuron Hindmarsh-Rose model, small-world neural network model, and the Jansen-Rit neural mass model, which simulate simple coupled neurons, complex neuronal networks, and discharge signals in epileptic disorders respectively. The results demonstrated that transcranial ultrasound stimulation has an appreciable modulatory effect on neuronal firing desynchronization in Hindmarsh-Rose model and small-world neural network model. The desynchronization effect is related to the stimulation frequency and intensity. Furthermore, ultrasound stimulation has an inhibitory effect on epileptic seizures, and the effect is enhanced by increasing ultrasound frequency from 0.1-1.0MHz. This is the first combination of ultrasonic intramembrane cavitation effect theory with neurons and neural network firing desynchronization, which can provide guidance of parametric and theories support for the studies of neurological diseases such as epilepsy and Parkinson's disease.

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Section: Introductionmentioning

confidence: 99%

Desynchronization of neuronal firing in multiparameter transcranial ultrasound stimulation

Bian

Ai²,

Yuan

2023

Preprint

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Chaos and Synchronization in a Memristor-Coupled HR-FN Neuron

Gao,

Li,

Zhang

et al. 2023

2023 IEEE International Conference on Memristive Computing and Applications (ICMCA)

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Dynamical Analysis and Circuit Implementation of HR-FHN Neuron Model Coupled by Locally Active Memristor

Li,

Guo,

2024

Int. J. Bifurcation Chaos

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In this paper, a novel locally active memristor is constructed. Based on the 3D Hindmarsh–Rose (HR) and 2D FitzHugh–Nagumo (FHN) neuron, a heterogeneous neuronal system is constructed by connecting the two neurons with the locally active memristor. The equilibrium point and stability of the system are investigated. The dynamic behavior of the system is numerically and experimentally revealed by utilizing dynamic analyses in terms of interspike interval bifurcation diagram, two-parameter bifurcation diagram and so on. The unique and abundant dynamic behavior is found in the proposed neuronal system by varying the coupling strength, external stimulus current, memristive parameter and other system parameters. Multiple bursting firing groups in the tongue-shaped domains have been discovered for the first time. Finally, in order to validate the numerical simulation, an analog equivalent circuit of the heterogeneous neuronal system is devised, which demonstrates that the system is physically realizable.

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Dynamical Analysis of HR-FN Neuron Model Bidirectional Coupled by Locally Active Hyperbolic Memristor and Circuit Implementation

Cited by 3 publications

References 23 publications

Desynchronization of neuronal firing in multiparameter transcranial ultrasound stimulation

Desynchronization of neuronal firing in multiparameter transcranial ultrasound stimulation

Chaos and Synchronization in a Memristor-Coupled HR-FN Neuron

Dynamical Analysis and Circuit Implementation of HR-FHN Neuron Model Coupled by Locally Active Memristor

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