Axonal sodium and potassium conductance density determines spiking dynamical properties of regular- and fast-spiking neurons

2018 ◽  
Vol 95 (2) ◽  
pp. 1035-1052 ◽  
Author(s):  
Wen Zhang ◽  
Boqiang Fan ◽  
Divyansh Agarwal ◽  
Tun Li ◽  
Yuguo Yu
2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Yue Zhang ◽  
Kuanquan Wang ◽  
Yongfeng Yuan ◽  
Dong Sui ◽  
Henggui Zhang

Hodgkin-Huxley (HH) equation is the first cell computing model in the world and pioneered the use of model to study electrophysiological problems. The model consists of four differential equations which are based on the experimental data of ion channels. Maximal conductance is an important characteristic of different channels. In this study, mathematical method is used to investigate the importance of maximal sodium conductanceg-Naand maximal potassium conductanceg-K. Applying stability theory, and takingg-Naandg-Kas variables, we analyze the stability and bifurcations of the model. Bifurcations are found when the variables change, and bifurcation points and boundary are also calculated. There is only one bifurcation point wheng-Nais the variable, while there are two points wheng-Kis variable. The (g-Na,  g-K) plane is partitioned into two regions and the upper bifurcation boundary is similar to a line when bothg-Naandg-Kare variables. Numerical simulations illustrate the validity of the analysis. The results obtained could be helpful in studying relevant diseases caused by maximal conductance anomaly.


2014 ◽  
Vol 24 (05) ◽  
pp. 1440002 ◽  
Author(s):  
BEATA STRACK ◽  
KIMBERLE M. JACOBS ◽  
KRZYSZTOF J. CIOS

The paper introduces a multi-layer multi-column model of the cortex that uses four different neuron types and short-term plasticity dynamics. It was designed with details of neuronal connectivity available in the literature and meets these conditions: (1) biologically accurate laminar and columnar flows of activity, (2) normal function of low-threshold spiking and fast spiking neurons, and (3) ability to generate different stages of epileptiform activity. With these characteristics the model allows for modeling lesioned or malformed cortex, i.e. examine properties of developmentally malformed cortex in which the balance between inhibitory neuron subtypes is disturbed.


2011 ◽  
Vol 15 (2) ◽  
pp. 267-273 ◽  
Author(s):  
Ke-Xin Li ◽  
Ying-Mei Lu ◽  
Zheng-Hao Xu ◽  
Jing Zhang ◽  
Jun-Ming Zhu ◽  
...  

2003 ◽  
Vol 6 (3) ◽  
pp. 258-266 ◽  
Author(s):  
Gytis Baranauskas ◽  
Tatiana Tkatch ◽  
Keiichi Nagata ◽  
Jay Z. Yeh ◽  
D. James Surmeier
Keyword(s):  

2020 ◽  
Author(s):  
Yuko Koyanagi ◽  
Yoshiyuki Oi ◽  
Masayuki Kobayashi

Background: The general anesthetic propofol induces frontal alpha rhythm in the cerebral cortex at a dose sufficient to induce loss of consciousness. The authors hypothesized that propofol-induced facilitation of unitary inhibitory postsynaptic currents would result in firing synchrony among postsynaptic pyramidal neurons that receive inhibition from the same presynaptic inhibitory fast-spiking neurons. Methods: Multiple whole cell patch clamp recordings were performed from one fast-spiking neuron and two or three pyramidal neurons with at least two inhibitory connections in rat insular cortical slices. The authors examined how inhibitory inputs from a presynaptic fast-spiking neuron modulate the timing of spontaneous repetitive spike firing among pyramidal neurons before and during 10 μM propofol application. Results: Responding to activation of a fast-spiking neuron with 150-ms intervals, pyramidal cell pairs that received common inhibitory inputs from the presynaptic fast-spiking neuron showed propofol-dependent decreases in average distance from the line of identity, which evaluates the coefficient of variation in spike timing among pyramidal neurons: average distance from the line of identity just after the first activation of fast-spiking neuron was 29.2 ± 24.1 (mean ± SD, absolute value) in control and 19.7 ± 19.2 during propofol application (P < 0.001). Propofol did not change average distance from the line of identity without activating fast-spiking neurons and in pyramidal neuron pairs without common inhibitory inputs from presynaptic fast-spiking neurons. The synchronization index, which reflects the degree of spike synchronization among pyramidal neurons, was increased by propofol from 1.4 ± 0.5 to 2.3 ± 1.5 (absolute value, P = 0.004) and from 1.5 ± 0.5 to 2.2 ± 1.0 (P = 0.030) when a presynaptic fast-spiking neuron was activated at 6.7 and 10 Hz, respectively, but not at 1, 4, and 13.3 Hz. Conclusions: These results suggest that propofol facilitates pyramidal neuron firing synchrony by enhancing inhibitory inputs from fast-spiking neurons. This synchrony of pyramidal neurons may contribute to the alpha rhythm associated with propofol-induced loss of consciousness. Editor’s Perspective What We Already Know about This Topic What This Article Tells Us That Is New


Author(s):  
Bo Wang ◽  
Wei Ke ◽  
Jing Guang ◽  
Guang Chen ◽  
Luping Yin ◽  
...  

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