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Synchronization of two electrically coupled inspiratory pacemaker neurons

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Science China(Technological Sciences) 2014年第5期57卷 929-935页

作者： YE WeiJie liu shenquan liu XuanLiang Department of Mathematics South China University of Technology

Synchronization is considered to be a crucial mechanism that maintains respiratory *** understanding the effect of electrical coupling on the transition of the firing patterns and synchronization,we coupled two inspiratory pacemaker neurons together,and studied various synchronous behaviors between *** firstly compared the bifurcation diagrams between the coupled neurons and single neuron,and found that the coupled neurons had a more complicated bifurcation *** increasing the coupling strength,the regular variation of phase differences was illustrated so that asynchronous and some synchronous states could be *** synchronous states were also shown in detail by phase portraits and firing *** addition,we explored the ranges of different synchronous states,which attributed to different ranges of membrane capacitance and coupling strength.

关键词： synchronization inspiratory pacemaker neuron phase differences electrical coupling bifurcation

Numerical simulation of neuronal spike patterns in a retinal network model

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Neural Regeneration Research 2011年第16期6卷 1254-1260页

作者： Lei Wang shenquan liu Shanxing Ou Department of Mathematics South China University of Technology Guangzhou 510640 Guangdong Province China Department of Radiology General Hospital of Guangzhou Mifitary Command Guangzhou 510640 Guangdong Province China

This study utilized a neuronal compartment model and NEURON software to study the effects of external light stimulation on retinal photoreceptors and spike patterns of neurons in a retinal network Following light stimulation of different shapes and sizes, changes in the spike features of ganglion cells indicated that different shapes of light stimulation elicited different retinal responses. By manipulating the shape of light stimulation, we investigated the effects of the large number of electrical synapses existing between retinal neurons. Model simulation and analysis suggested that interplexiform cells play an important role in visual signal information processing in the retina, and the findings indicated that our constructed retinal network model was reliable and feasible. In addition, the simulation results demonstrated that ganglion cells exhibited a variety of spike patterns under different light stimulation sizes and different stimulation shapes, which reflect the functions of the retina in signal transmission and processing.

关键词： computational network model retina light stimulation ganglion cell spike pattern

A proposal for the morphological classification and nomenclature of neurons

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Neural Regeneration Research 2011年第25期6卷 1925-1930页

作者： Rong Jiang Qiang liu Quan liu shenquan liu School of Computer National University of Defense Technology Changsha 410073 Hunan Province China Department of Mathematics School of Science South China University of Technology Guangzhou 510640 Guangdong Province China

The morphological and functional characteristics of neurons are quite varied and complex. There is a need for a comprehensive approach for distinguishing and classifying neurons. Similar to the biological species classification system, this study proposes a morphological classification system for neurons based on principal component analysis. Based on four principal components of neuronal morphology derived from principal component analysis, a nomenclature system for neurons was obtained. This system can accurately distinguish between the same type of neuron from different species.

关键词： neuron geometry principal component analysis back-propagating neural networks morphological classification neural regeneration

Morphology cluster and prediction of growth of human brain pyramidal neurons

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Neural Regeneration Research 2012年第1期7卷 36-40页

作者： Chao Yu Zengxin Han Wencong Zeng shenquan liu School of Computer China University of Geosciences Wuhan 430074 Hubei Province China School of Science South China University of Technology Guangzhou 510640 Guangdong Province China

Predicting neuron growth is valuable to understand the morphology of neurons, thus it is helpful in the research of neuron classification. This study sought to propose a new method of predicting the growth of human neurons using 1 907 sets of data in human brain pyramidal neurons obtained from the website of ***. First, we analyzed neurons in a morphology field and used an expectation-maximization algorithm to specify the neurons into six clusters. Second, naive Bayes classifier was used to verify the accuracy of the expectation-maximization algorithm. Experiment results proved that the cluster groups here were efficient and feasible. Finally, a new method to rank the six expectation-maximization algorithm clustered classes was used in predicting the growth of human pyramidal neurons.

关键词： neurons morphological cluster expectation-maximization naive Bayes 10-fold cross validation neural regeneration

A Modification of Sodium Conductance Calculation in Hodgkin and Huxley Equations Explains Nonlinear Dynamic Behavior in the Giant Axon of Squid

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A Modification of Sodium Conductance Calculation in Hodgkin ...

第四届全国神经动力学学术会议

作者： shenquan liu Yaru liu Department of Mathematics South China University of Technology

The nervous system is an important regulation system of human physiology which is through the neurons to experience external stimuli. The different discharge patterns reflect different external stimuli, resulting in different physiological effects. Besides,the activities of neurons have complicated nonlinear dynamical behaviors. This paper modifies the calculation of sodium conductance in the classical H-H model, and explains the nonlinear dynamic behavior of giant axon of *** the first part,the paper performs the modification of the sodium conductance calculation based on the Hodgkin-Huxley model. Consider turning the sodium conductance gating switch g Na m3 hg Na into a modified sodium conductance calculation formula g Na m2 h2 g Na,then put it into the H-H equations. By the patch clamp technique, and the experiments on the large axons of the squid, a new model is established now. In the second part, in the modified Hodgkin and Huxley model, the paper studies and explains the complex nonlinear dynamic behaviors the activities of neurons. Based on nonlinear dynamic theory and methods such as bifurcation, chaos, etc, through simulation techniques and Mat-cont and XPP soft-wares,the paper provides the phase diagram and bifurcation analysis of H-H equations. The paper not only improves the classical H-H model,but also enriches the nonlinear dynamic correlation theory. Finally, the sensitivity of the modified H-Hmodel is analyzed, and its nonlinear dynamical property theory is summarized.

关键词： Hodgkin and Huxley squid axons bifurcation sodium conductance chaos

Several Properties of Tail-Withdrawal Reflex Circuit in Aplysia

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Several Properties of Tail-Withdrawal Reflex Circuit in Aply...

第十四届全国非线性振动暨第十一届全国非线性动力学和运动稳定性学术会议

作者： Weijie Ye shenquan liu Department of Mathematics South China University of Technology

Circuit of tail-withdrawal reflex in Aplysia is a key model system for investigating the simple forms of learning and *** using the software Python and NEURON the research simulated the tail-withdrawal reflex in Aplysia and studied various characteristics of the *** spike frequency adaptation (SFA) and the period adding bifurcation of the minimum were found in sensory

关键词： reflex spike frequency adaptation synaptic plasticity muscle fiber force

Quantification of synchronization phenomena in two reciprocally gap-junction coupled bursting pancreatic β-cells

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Quantification of synchronization phenomena in two reciproca...

第二届全国神经动力学学术会议

作者： Wang Jing liu shenquan liu Xuanliang Department of Mathematics South China University of Technology

This paper aimed to research synchronization transitions in two reciprocally gap-junction coupled bursting pancreaticβ-*** results revealed that propagations of synchronous states could be induced not only by changing the coupling strength,but also by the variations of the slow time ***,these asynchronous and synchronous states such as out-of-phase,almost in-phase and in-phase synchronization were specifically demonstrated by phase portraits and time *** comparing the bifurcation diagrams of interspike intervals(ISI)between two coupled neurons and an individual neuron,we found that the coupling strength played a critical role in tonic-to-bursting *** particular,with the phase difference and ISI-distance being introduced,regions of various synchronous and asynchronous states were plotted in a two-dimensional parameter *** interestingly,it was found that the coupled neurons could always realize complete synchronization if only the coupling strength was appropriate.

关键词： Synchronization Gap junction Phase difference ISI-distance pancreatic β-cell

The analysis of long term depression in Purkinje cell circuit

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The analysis of long term depression in Purkinje cell circui...

第二届全国神经动力学学术会议

作者： Xuchen Zhang shenquan liu Huixia Ren South China University of Technology Department of Mathematics

Long term depression(LTD)plays a key function on sculpting circuits to store information in cerebellum,since the motor learning and memory are thought to associate with its long term change in synaptic *** better understand the transmitting of information in cerebellum,we firstly distinguish the three different neurons by type 1-like and type 2-like neurons to show the neuronal excitability and analyze the Interspike Intervals(ISIs)bifurcation phenomenon of them,and then build the Purkinje circuit to mainly study the impact of external stimuli to LTD of Purkinje *** the computational analysis,both the climbing fiber-Purkinje cell and granule cell-Purkinje cell circuit are found to produce LTD;meanwhile the external stimuli would influence LTD both in the depression time and depression *** of the simulated results show that LTD is very significant in Purkinje circuit ***,we simulate the Spike Timing Dependent Plasticity(STDP)by increasing the Ca P conductance to deliver the learning rule.

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The Mixed-mode Oscillations in Basic Bursting Model

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The Mixed-mode Oscillations in Basic Bursting Model

第二届全国神经动力学学术会议

作者： LU Bo liu shenquan liu Xuanliang JIANG Xiaofang Department of Mathematics South China University of Technology

In this paper,we mainly discuss the mixed-mode oscillations in the basic bursting *** using the geometric singular perturbation theory the existence of MMO’s in the reduced basic bursting model is *** we give the numerical result on MMO’s,and we have observed the mixed-mode oscillations phenomenon and nonmixed-mode behavior in the ***,the influence of the parameters to the model is illustrated.

关键词： geometric singular perturbation theory Mixed-mode Oscillations Basic Bursting Model