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Article
The neuronal and synaptic dynamics underlying post-inhibitory rebound burst related to major depressive disorder in the lateral habenula neuron model
A burst behavior observed in the lateral habenula (LHb) neuron related to major depressive disorder has attracted much attention. The burst is induced from silence by the excitatory N-methyl-D-aspartate (NMDA) sy...
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Article
Dynamics of interaction between IH and IKLT currents to mediate double resonances of medial superior olive neurons related to sound localization
Neurons in the medial superior olive (MSO) exhibit high frequency responses such as subthreshold resonance, which is helpful to sensitively detect a small difference in the arrival time of sounds between two e...
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Article
The influence of hyperpolarization-activated cation current on conduction delay and failure of action potentials along axon related to abnormal functions
Conduction delay and failure behaviors of action potentials with a high frequency along nerve fiber are related to the abnormal functions. For instance, upregulation of a hyperpolarization-activated cation cur...
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Article
Identifying bifurcations underlying a neuronal bursting of mixed-mode oscillations with two slow variables in inner hair cell
Neuronal bursting patterns are nonlinear behaviors related to various brain functions and diseases. Bursting modulated by two slow variables manifest more complex dynamics than that with one slow variable, due...
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Article
Influence of inhibitory autapses on synchronization of inhibitory network gamma oscillations
A recent experimental study showed that inhibitory autapses favor firing synchronization of parvalbumin interneurons in the neocortex during gamma oscillations. In the present paper, to provide a comprehensive...
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Article
Nonlinear mechanism for the enhanced bursting activities induced by fast inhibitory autapse and reduced activities by fast excitatory autapse
The paradoxical phenomena that excitatory modulation does not enhance but reduces or inhibitory modulation not suppresses but promotes neural firing activities have attracted increasing attention. In the prese...
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Article
Nonlinear mechanisms for opposite responses of bursting activities induced by inhibitory autapse with fast and slow time scale
Fast and slow inhibitory synapses, respectively, induce anti- and in-phase synchronizations, showing different roles of synapse with different time scales. In the present paper, the opposite roles of inhibitor...
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Article
Bifurcations underlying sigh and eupnea rhythmic transition in a pre-Bötzinger complex model
Neuronal networks control motor output through multi-rhythmic electrical activities with different frequencies and amplitudes of different neurons. For example, the pre-Bötzinger complex related to respiratory...
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Article
Complex dynamics of hair bundle of auditory nervous system (II): forced oscillations related to two cases of steady state
The forced oscillations of hair bundle of inner hair cells of auditory nervous system evoked by external force from steady state are related to the fast adaption of hair cells, which are very important for aud...
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Article
Complex dynamics of hair bundle of auditory nervous system (I): spontaneous oscillations and two cases of steady states
The hair bundles of inner hair cells in the auditory nervous exhibit spontaneous oscillations, which is the prerequisite for an important auditory function to enhance the sensitivity of inner ear to weak sound...
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Article
Fast–slow variable dissection with two slow variables related to calcium concentrations: a case study to bursting in a neural pacemaker model
Neuronal bursting is an electrophysiological behavior participating in physiological or pathological functions and a complex nonlinear behavior alternating between burst and quiescent state modulated by slow v...
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Article
The nonlinear mechanism for the same responses of neuronal bursting to opposite self-feedback modulations of autapse
In the traditional viewpoint, inhibitory and excitatory effects always induce opposite responses. In the present study, the enhanced bursting activities induced by excitatory autapses, which are consistent wit...
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Article
Dynamics of subthreshold and suprathreshold resonance modulated by hyperpolarization-activated cation current in a bursting neuron
Resonance of both subthreshold and suprathreshold membrane potentials has been found in brain or motor neurons involving in the information processing or locomotion control via frequency response, which is mai...
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Article
Coherence resonance for neuronal bursting with spike undershoot
Although the bursting patterns with spike undershoot are involved with the achievement of physiological or cognitive functions of brain with synaptic noise, noise induced-coherence resonance (CR) from resting ...
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Article
Paradoxical reduction and the bifurcations of neuronal bursting activity modulated by positive self-feedback
Paradoxical enhancement rather than reduction in firing activity induced by inhibitory effect is very important for both nonlinear dynamics and neuroscience. In the present paper, to build a more comprehensive...
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Article
Multiple coherence resonances evoked from bursting and the underlying bifurcation mechanism
Coherence resonance (CR), which is typical nonlinear phenomenon that noise plays construct roles, has been widely investigated in single neurons at resting state instead of bursting behavior when noise free. I...
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Article
Open AccessDifferent dynamical behaviors induced by slow excitatory feedback for type II and III excitabilities
Neuronal excitability is classified as type I, II, or III, according to the responses of electronic activities, which play different roles. In the present paper, the effect of an excitatory autapse on type III...
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Article
Different dynamics of repetitive neural spiking induced by inhibitory and excitatory autapses near subcritical Hopf bifurcation
Based on the post-inhibitory rebound (PIR) spike induced by inhibitory current pulse, in the present paper, a novel counterintuitive phenomenon that the inhibitory autapse with time delay can induce the restin...
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Article
Memristor reduces conduction failure of action potentials along axon with Hopf bifurcation
Memristor has been identified to modulate electronic activities of the nervous system, and conduction failure of action potentials along axon has been identified to play important roles in information transit...
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Article
Bifurcations of enhanced neuronal bursting activities induced by the negative current mediated by inhibitory autapse
In contrast to the traditional viewpoint that inhibitory effect can often induce the reduction of neural firing activities, negative self-feedback current mediated by inhibitory autapse is identified to enhanc...
