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Article
Dynamical principles underlying song degradation in birdsong neural circuit
Our previous work has shown that AFP could adjust synaptic conductance of RA network with its firing pattern changed from bursting to tonic firing, eventually leading to song degradation. However, it is diffic...
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Article
Individual identification for different age groups using functional connectivity strength
Many studies demonstrate individual differences in functional network, especially those with age. Meanwhile, aging is one of the potential risk factors for Alzheimer’s disease. Therefore, it is important to ex...
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Article
A Hénon-like map inspired by the generalized discrete-time FitzHugh–Nagumo model
The patterns of discharge activity are closely associated with the physiological manifestation of neurons, and hence, it is particularly significant to understand the dynamic behavior of the patterns. In this ...
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Article
Nonlinear delayed feedback control of synchronization in an excitatory–inhibitory coupled neuronal network
We explore nonlinear time-delayed feedback as a technique for the control of synchronization in excitatory–inhibitory coupled neuronal networks. The feedback signal can be expressed in two forms: differential ...
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Article
Mixed-mode oscillations and bifurcation analysis in a pituitary model
Bursting is an intrinsically electrical activity in excitable cells such as endocrine cells and many types of neurons. Our purpose is to recognize the pituitary model from a new perspective and provide guidanc...
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Article
Effect of fiber volume fraction on longitudinal tensile properties of SiCf/Ti-6Al-4V composites
The longitudinal tensile properties of SiCf/Ti-6Al-4V composites with different fiber volume fractions were simulated by the Monte Carlo 2-D finite element model. The random distribution of fiber strength was exp...
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Article
High-Frequency Stimulation for Parkinson’s Disease and Effects on Pathways in Basal Ganglia Network Model
Deep brain stimulation of nuclei in the basal ganglia has been recognized as the most effective neurosurgical therapy for hypokinesia in patients with Parkinson’s disease; however, the mechanism underlying its...
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Chapter and Conference Paper
The Role of Ion Channels in Firing Dynamics of a Two-Compartment Purkinje Cell Model
Ion channels play a vital role in various aspects of cell function. In this paper, we mainly investigate the influence of the hyperpolarization-activated cation current (I h) and potassium current (I ...
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Article
Synchronization of two electrically coupled inspiratory pacemaker neurons
Synchronization is considered to be a crucial mechanism that maintains respiratory rhythm. For understanding the effect of electrical coupling on the transition of the firing patterns and synchronization, we c...
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Article
Bifurcation analysis of a Morris–Lecar neuron model
In this paper, we investigate the dynamical behaviors of a Morris–Lecar neuron model. By using bifurcation methods and numerical simulations, we examine the global structure of bifurcations of the model. Resul...
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Article
Dynamical properties of firing patterns in ELL pyramidal neuron under external electric field stimulus
Pyramidal neurons in the electrosensory lateral line lobe (ELL) of weakly electric fish activate in an environment of time-varying electric fields, which are generated by the fish itself, while how these pyram...
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Chapter and Conference Paper
Transition of Firing Patterns in a CA1 Pyramidal Neuron Model
This paper considered a one-compartment and conductance-based model of CA1 pyramidal neuron. The InterSpike Interval(ISI) bifurcation diagrams were employed to demonstrate the transition modes of different fir...
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Chapter and Conference Paper
Numerical Analysis of Parkinson’s Disease in a Basal Ganglia Network Model
The paper constructed a network of basal ganglia and considered the normal state, Parkinson Disease (PD) state and Deep Brain Stimulation (DBS) therapy in this basal ganglia (BG) model. The membrane potential ...
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Chapter and Conference Paper
The Effects of Leakage Conductance on Firing Properties in a Compartment Neuron Model
Leakage current is a critical factor which can balance ions flow across channels in neuron. In this study, a simple case is considered about the influence of leakage conductance gL on neuronal firing activities i...
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Chapter and Conference Paper
Statistics Analysis of the Structural Stress Process Based on the Wavelet Neural Network
Aiming to the structure reliability analysis, a large amount of structural loading distribution data are required. In general the simulation or real test are used to get these data. But in fact large machine s...
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Article
Burst firing transitions in two-compartment pyramidal neuron induced by the perturbation of membrane capacitance
Neuronal membrane capacitance C m is one of the prominent factors in action potential initiation and propagation and then influences the firing patterns of neurons. Exploring the roles that C ...
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Article
Codimension-two bifurcation analysis in two-dimensional Hindmarsh–Rose model
In this paper, we analyze the codimension-2 bifurcations of equilibria of a two-dimensional Hindmarsh–Rose model. By using the bifurcation methods and techniques, we give a rigorous mathematical analysis of Ba...
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Article
Multimedia data modeling based on temporal logic and XYZ System
This paper proposes a new approach to modeling multimedia data. The new approach is the multimedia data model based on temporal logic and XYZ System. It supports the formal specifications in a multimedia syste...
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Article
A surface rendering approach in 3D rectilinear datafield
This paper presents an approach for surface rendering in 3D rectilinear datafield. The approach will first detect the border of the given object in the field by underlying function fitting and the second gradi...
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Article
Line-art and its mathematical models
In this paper, the authors describe the principles ofStraight Line Strokes illustration, present the mathematical model of the principles, and show how a great number of lines can be implemented as main part of a...
