Biological experimental demonstration of bifurcations from bursting to spiking predicted by theoretical models

Gu, Huaguang; Pan, Baobao; Chen, Guanrong; Duan, Lixia

doi:10.1007/s11071-014-1447-5

Cited by 156 publications

(40 citation statements)

References 65 publications

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“…As V shift K 2 is decreased from −0.023 to −0.025, the number of spikes per burst of bursting pattern is increased and changes to spiking pattern at V shift K 2 ≈ −0.024828 (critical value labeled as V LC ), as shown in the bottom part of Fig. 1c (similar bifurcations of neural firing patterns have been observed in the experiments on a neural pacemaker [41][42][43][44][45]). Therefore, spiking and bursting patterns coexist (between two dash lines in Fig.…”

Section: Coexistence Of Spiking and Burstingsupporting

confidence: 72%

The dependence of synchronization transition processes of coupled neurons with coexisting spiking and bursting on the control parameter, initial value, and attraction domain

Pan

2015

Nonlinear Dyn

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As the value of a control parameter decreases, monostable bursting changes to monostable spiking via the coexistence of spiking and bursting in a Leech neuron model, and the attraction domain of the bursting decreases, while that of the coexisting spiking increases for coexisting behaviors. As the coupling strength increases, the two coupled Leech neurons with the coexisting spiking and bursting manifest transitions from non-synchronization to complete synchronization (CS) through a complex process, which is dependent of the values of the control parameter, cases of configurations (one neuron spiking and the other bursting, both bursting, and both spiking), and the initial values of the two neurons. The transition processes involve various spiking and bursting or chaos synchronization states for the first two cases given here, but contain only spiking patterns for the last case. Corresponding with the attraction domain, the probability of initial values that can lead to bursting patterns of CS decreases, but the probability of initial values that can induce spiking of CS increases for the former two cases, as the control parameter is decreased. This phenomenon can also be interpreted by the structure and volume of the attraction domain with which all initial values can only induce CS of spiking for case 3. The results may improve understanding of the synchronization dynamics of the coupled neurons with coexisting behaviors.

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Section: Coexistence Of Spiking and Burstingsupporting

confidence: 72%

The dependence of synchronization transition processes of coupled neurons with coexisting spiking and bursting on the control parameter, initial value, and attraction domain

Pan

2015

Nonlinear Dyn

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“…1. Similar bifurcations were observed in an experimental neural pacemaker [69,70]. In the present study, when is set as À0:0001; À0:01, and À0:015, the bursting patterns of individual neuron contain 3 spikes, 6 spikes, and 10 spikes per burst, respectively, as shown in Fig.…”

Section: Neuron Modelsupporting

confidence: 83%

The influence of single neuron dynamics and network topology on time delay-induced multiple synchronous behaviors in inhibitory coupled network

Zhao

2015

Chaos, Solitons & Fractals

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“…The latest researches described the complex bifurcations related to real experiments and HR neuron model; the experimental results [38,39] demonstrate the dynamics of a neuronal transition from chaotic bursting to chaotic spiking in the nervous system, which agree with published findings in theoretical neuronal models [40,41]. In addition, it is found that the firing, spike frequency, and instantaneous spike frequency observed in the experiment were simulated and explained using HH models.…”

Section: Introductionsupporting

confidence: 80%

“…As it can be known, the relevant experiments of the neuron electrical activity play a vital role in achieving biological functions of the nervous system [38][39][40][41][42][43]. The latest researches described the complex bifurcations related to real experiments and HR neuron model; the experimental results [38,39] demonstrate the dynamics of a neuronal transition from chaotic bursting to chaotic spiking in the nervous system, which agree with published findings in theoretical neuronal models [40,41].…”

Section: Introductionsupporting

confidence: 79%

Mixed Stimulus-Induced Mode Selection in Neural Activity Driven by High and Low Frequency Current under Electromagnetic Radiation

et al. 2017

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The electrical activities of neurons are dependent on the complex electrophysiological condition in neuronal system, the threevariable Hindmarsh-Rose (HR) neuron model is improved to describe the dynamical behaviors of neuronal activities with electromagnetic induction being considered, and the mode transition of electrical activities in neuron is detected when external electromagnetic radiation is imposed on the neuron. In this paper, different types of electrical stimulus impended with a highlow frequency current are imposed on new HR neuron model, and mixed stimulus-induced mode selection in neural activity is discussed in detail. It is found that mode selection of electrical activities stimulated by high-low frequency current, which also changes the excitability of neuron, can be triggered owing to adding the Gaussian white noise. Meanwhile, the mode selection of the neuron electrical activity is much dependent on the amplitude of the high frequency current under the same noise intensity, and the high frequency response is selected preferentially by applying appropriate parameters and noise intensity. Our results provide insights into the transmission of complex signals in nerve system, which is valuable in engineering prospective applications such as information encoding.

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Biological experimental demonstration of bifurcations from bursting to spiking predicted by theoretical models

Cited by 156 publications

References 65 publications

The dependence of synchronization transition processes of coupled neurons with coexisting spiking and bursting on the control parameter, initial value, and attraction domain

The dependence of synchronization transition processes of coupled neurons with coexisting spiking and bursting on the control parameter, initial value, and attraction domain

The influence of single neuron dynamics and network topology on time delay-induced multiple synchronous behaviors in inhibitory coupled network

Mixed Stimulus-Induced Mode Selection in Neural Activity Driven by High and Low Frequency Current under Electromagnetic Radiation

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