Collective dynamics and energy aspects of star-coupled Hindmarsh–Rose neuron model with electrical, chemical and field couplings

Usha, K.; Subha, P. A.

doi:10.1007/s11071-019-04909-7

Cited by 58 publications

(14 citation statements)

References 45 publications

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“…[32][33][34][35] In fact, the involvement of memristor to couple neurons can form memristive synapse [36][37][38] and then the synaptic plasticity can be released by applying time-varying radiation and electric stimuli on the neurons and neural networks. [39][40][41][42] Furthermore, it is confirmed that field coupling [43][44][45][46] provides another effective way to stabilize neurons in network even synapse coupling is suppressed completely. Both of capacitor and inductor are important electronic components for building and connecting nonlinear circuits, and time-varying field can be induced in these components [47] to capture and pump field energy across the coupling channels.…”

Section: Introductionmentioning

confidence: 82%

Dynamics and coherence resonance in a thermosensitive neuron driven by photocurrent*

Liu

Zhu

et al. 2020

Chinese Phys. B

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A feasible neuron model can be effective to estimate the mode transition in neural activities in a complex electromagnetic environment. When neurons are exposed to electromagnetic field, the continuous magnetization and polarization can generate nonlinear effect on the exchange and propagation of ions in the cell, and then the firing patterns can be regulated completely. The conductivity of ion channels can be affected by the temperature and the channel current is adjusted for regulating the excitability of neurons. In this paper, a phototube and a thermistor are used to the functions of neural circuit. The phototube is used to capture external illumination for energy injection, and a continuous signal source is obtained. The thermistor is used to percept the changes of temperature, and the channel current is changed to adjust the excitability of neuron. This functional neural circuit can encode the external heat (temperature) and illumination excitation, and the dynamics of neural activities is investigated in detail. The photocurrent generated in the phototube can be used as a signal source for the neural circuit, and the thermistor is used to estimate the conduction dependence on the temperature for neurons under heat effect. Bifurcation analysis and Hamilton energy are calculated to explore the mode selection. It is found that complete dynamical properties of biological neurons can be reproduced in spiking, bursting, and chaotic firing when the phototube is activated as voltage source. The functional neural circuit mainly presents spiking states when the photocurrent is handled as a stable current source. Gaussian white noise is imposed to detect the occurrence of coherence resonance. This neural circuit can provide possible guidance for investigating dynamics of neural networks and potential application in designing sensitive sensors.

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Section: Introductionmentioning

confidence: 82%

Dynamics and coherence resonance in a thermosensitive neuron driven by photocurrent*

Liu

Zhu

et al. 2020

Chinese Phys. B

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“…erefore, these functional neurons can be extended to networks to study the dynamic behavior of various networks. A variety of networks with different topological connection types are discussed, such as chain networks [51,52], ring networks [53], star networks [54], small-world networks [37,55], and scale-free networks [37]. And, researchers have also designed multilayer networks, such as two-layer networks [56,57] and three-layer networks [49].…”

Section: Open Problemsmentioning

confidence: 99%

Bifurcation Analysis and Synchronous Patterns between Field Coupled Neurons with Time Delay

Zhang

et al. 2022

Complexity

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Neurons encode and transmit signals through chemical synaptic or electrical synaptic connections in the actual nervous system. Exploring the biophysical properties of coupling channels is of great significance for further understanding the rhythm transitions of neural network electrical activity patterns and preventing neurological diseases. From the perspective of biophysics, the activation of magnetic field coupling is the result of the continuous release and propagation of intracellular and extracellular ions, which is very similar to the activation of chemical synaptic coupling through the continuous release of neurotransmitters. In this article, an induction coil is used to connect two HR neurons to stimulate the effect of magnetic field coupling. It is inevitable that time delays can affect the coupling process in the transmission of information, and it should be considered in the coupled model. Firstly, the firing characteristics and bifurcation modes of two coupled HR neurons are studied by using one parameter and two parameters bifurcation. With the increase of propagation delay and coupling gain, the chaotic state of neurons disappears and the high-period window decreases due to the influence of energy transfer between neurons. Then, the synchronization patterns of two HR neurons with different stimulation are analyzed by error diagrams and time series diagrams. It is confirmed that the synchronous pattern has certain regularity and is related not only to the neurons with large stimulation current but also to the time delay and coupling gain. The research conclusions of this article will provide the corresponding theoretical basis for medical experiments.

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“…Pecora reported an interesting desynchronization state named drum head mode (DHM), which indicates all spokes are synchronized, but the dynamics of the hub are different with spokes. Usha et al established starcoupled system with HindmarshRose (HR) neuron model, and it reported that the DHM state could be found in the unidirectional and bidirectional coupling [45,46].…”

Section: Introductionmentioning

confidence: 99%

Synchronization mode transitions induced by chaos in modified Morris–Lecar neural systems with weak coupling

Wang

et al. 2022

Nonlinear Dyn

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Based on a modified Morris-Lecar neural model, the synchronization modes transitions between two coupled neurons or starcoupled neural network connected by weak electrical and chemical coupling are respectively investigated. For the two coupled neurons, by increasing the calcium conductivity, it is found that the period2 synchronization of action potential of neurons is transformed to desynchronization first, and then to period3 synchronization. By increasing the potassium conductivity, however, the synchronization mode transition is a reversal direction process as mentioned above. The bifurcation analysis of interspike interval shows that the synchronization modes transition is induced by the chaos. The stronger the coupling strength is, the smaller the period2 synchronization region in the parameters plane is, while the larger the period3 synchronization region will be. For the starcoupled neural network, in the presence of weak electrical coupling, it can exhibit the complete synchronization, desynchronization, and drum head mode states under different parameter values, respectively. In the presence of chemical synapse, however, the completely synchronized state can not be observed in the starcoupled neural network. Our results might provide novel insights into synchronization modes transition and related biological experiments.

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Collective dynamics and energy aspects of star-coupled Hindmarsh–Rose neuron model with electrical, chemical and field couplings

Cited by 58 publications

References 45 publications

Dynamics and coherence resonance in a thermosensitive neuron driven by photocurrent*

Dynamics and coherence resonance in a thermosensitive neuron driven by photocurrent*

Bifurcation Analysis and Synchronous Patterns between Field Coupled Neurons with Time Delay

Synchronization mode transitions induced by chaos in modified Morris–Lecar neural systems with weak coupling

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