Nonlinear mechanism for the enhanced bursting activities induced by fast inhibitory autapse and reduced activities by fast excitatory autapse

Qi, Changsheng; Li, Yuye; Gu, Huaguang; Yang, Yongxia

doi:10.1007/s11571-022-09872-5

Cited by 7 publications

(2 citation statements)

References 87 publications

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“…In some previous studies (Gu and Zhao, 2015;Qi et al, 2023), the dynamics of the fast subsystem of an isolated neuron can also characterize the bursting modulated by the synaptic (autaptic) current. Then, the dynamics of the fast subsystem of a single neuron instead of the coupling model is used here.…”

Section: Burst Of the Antiphase Bursting Is Associated With The Stabl...mentioning

confidence: 99%

Dynamics of antiphase bursting modulated by the inhibitory synaptic and hyperpolarization-activated cation currents

Guan,

Gu,

Zhang

2024

Front. Comput. Neurosci.

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Antiphase bursting related to the rhythmic motor behavior exhibits complex dynamics modulated by the inhibitory synaptic current (Isyn), especially in the presence of the hyperpolarization-activated cation current (Ih). In the present paper, the dynamics of antiphase bursting modulated by the Ih and Isyn is studied in three aspects with a theoretical model. Firstly, the Isyn and the slow Ih with strong strength are the identified to be the necessary conditions for the antiphase bursting. The dependence of the antiphase bursting on the two currents is different for low (escape mode) and high (release mode) threshold voltages (Vth) of the inhibitory synapse. Secondly, more detailed co-regulations of the two currents to induce opposite changes of the bursting period are obtained. For the escape mode, increase of the Ih induces elevated membrane potential of the silence inhibited by a strong Isyn and shortened silence duration to go beyond Vth, resulting in reduced bursting period. For the release mode, increase of the Ih induces elevated tough value of the former part of the burst modulated by a nearly zero Isyn and lengthen burst duration to fall below Vth, resulting in prolonged bursting period. Finally, the fast-slow dynamics of the antiphase bursting are acquired. Using one-and two-parameter bifurcations of the fast subsystem of a single neuron, the burst of the antiphase bursting is related to the stable limit cycle, and the silence modulated by a strong Isyn to the stable equilibrium to a certain extent. The Ih mainly modulates the dynamics within the burst and quiescent state. Furthermore, with the fast subsystem of the coupled neurons, the silence is associated with the unstable equilibrium point. The results present theoretical explanations to the changes in the bursting period and fast-slow dynamics of the antiphase bursting modulated by the Isyn and Ih, which is helpful for understanding the antiphase bursting and modulating rhythmic motor patterns.

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Section: Burst Of the Antiphase Bursting Is Associated With The Stabl...mentioning

confidence: 99%

Dynamics of antiphase bursting modulated by the inhibitory synaptic and hyperpolarization-activated cation currents

Guan,

Gu,

Zhang

2024

Front. Comput. Neurosci.

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“…However, recently, various examples in contrast to the common viewpoint on the roles of the inhibitory and excitatory modulations are observed in both single neurons and neuronal networks. [30][31][32][33][34][35][36][37][38][39] Such counterintuitive or paradoxical roles of the excitatory or inhibitory modulations have attracted much attention in both theoretical and experimental studies. [33][34][35][36] For example, inhibitory stimulation can induce a spike from the quiescent state, called post-inhibitory rebound spike, which is related to the major depressive disorder or parkinson diseases in recent experiments.…”

Section: Introductionmentioning

confidence: 99%

Paradoxical roles of inhibitory autapse and excitatory synapse in formation of counterintuitive anticipated synchronization

Ding

et al. 2023

Chinese Phys. B

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Different from the common delayed synchronization (DS) that response appears after stimulation, anticipated synchronization (AS) in unidirectionally coupled neurons denotes a counterintuitive phenomenon that response of the receiver neuron appears before stimulation of the sender neuron, showing an interesting function of brain to anticipate the future. The dynamical mechanism for the AS remains unclear due to complex dynamics of inhibitory and excitatory modulations. In the present paper, the paradoxical roles of excitatory synapse and inhibitory autapse in the formation of AS are acquired. Firstly, in addition to the common roles that inhibitory modulation delays and excitatory modulation advances spike, paradoxical roles of excitatory stimulation to delay spike via type II phase response and of inhibitory autapse to advance spike are obtained in suitable parameter regions, extending the dynamics and functions of the excitatory and inhibitory modulations. Secondly, AS is related to the paradoxical roles of the excitatory and inhibitory modulations, presenting deep understandings to the AS. Inhibitory autapse induces spike of the receiver neuron advanced to appear before that of the sender neuron at first, and then excitatory synapse plays a delay role to prevent the spike further advanced, resulting in the AS as the advance and delay effects realize a dynamic balance. Last, inhibitory autapse with strong advance, middle advance, and weak advance and delay effects induces phase drift (spike of the receiver neuron advances continuously), AS, and DS, respectively, presenting comprehensive relationships between AS and other behaviors. The results present potential measures to modulate AS related to brain function.

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Nonlinear mechanisms for opposite responses of bursting activities induced by inhibitory autapse with fast and slow time scale

Yang

et al. 2023

Nonlinear Dyn

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Nonlinear mechanism for the enhanced bursting activities induced by fast inhibitory autapse and reduced activities by fast excitatory autapse

Cited by 7 publications

References 87 publications

Dynamics of antiphase bursting modulated by the inhibitory synaptic and hyperpolarization-activated cation currents

Dynamics of antiphase bursting modulated by the inhibitory synaptic and hyperpolarization-activated cation currents

Paradoxical roles of inhibitory autapse and excitatory synapse in formation of counterintuitive anticipated synchronization

Nonlinear mechanisms for opposite responses of bursting activities induced by inhibitory autapse with fast and slow time scale

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