Effects of fractal gating of potassium channels on neuronal behaviours

doi:10.1088/1674-1056/19/10/108701

中国物理B ›› 2010, Vol. 19 ›› Issue (10): 108701-108701.doi: 10.1088/1674-1056/19/10/108701

Effects of fractal gating of potassium channels on neuronal behaviours

曾上游¹, 张争珍¹, 赵德江²

(1)College of Electronic Engineering, Guangxi Normal University, Guilin 541004, China; (2)Department of Physics, Xiangtan University, Xiangtan 411105, China

收稿日期:2010-02-20 修回日期:2010-04-10 出版日期:2010-10-15 发布日期:2010-10-15
基金资助:
Project supported by the Research Foundation of Education Bureau of Guangxi Autonomous Region of China, Initial Research Fund of Guangxi Normal University, and the Research Fund of Key Laboratory Construction in College of Electronic Engineering of Guangxi Normal University.

Effects of fractal gating of potassium channels on neuronal behaviours

Zhao De-Jiang(赵德江)^a), Zeng Shang-You(曾上游)^b)†, and Zhang Zheng-Zhen(张争珍)^b)

^a Department of Physics, Xiangtan University, Xiangtan 411105, China; ^b College of Electronic Engineering, Guangxi Normal University, Guilin 541004, China

Received:2010-02-20 Revised:2010-04-10 Online:2010-10-15 Published:2010-10-15
Supported by:
Project supported by the Research Foundation of Education Bureau of Guangxi Autonomous Region of China, Initial Research Fund of Guangxi Normal University, and the Research Fund of Key Laboratory Construction in College of Electronic Engineering of Guangxi Normal University.

摘要/Abstract

摘要： The classical model of voltage-gated ion channels assumes that according to a Markov process ion channels switch among a small number of states without memory, but a bunch of experimental papers show that some ion channels exhibit significant memory effects, and this memory effects can take the form of kinetic rate constant that is fractal. Obviously the gating character of ion channels will affect generation and propagation of action potentials, furthermore, affect generation, coding and propagation of neural information. However, there is little previous research on this series of interesting issues. This paper investigates effects of fractal gating of potassium channel subunits switching from closed state to open state on neuronal behaviours. The obtained results show that fractal gating of potassium channel subunits switching from closed state to open state has important effects on neuronal behaviours, increases excitability, rest potential and spiking frequency of the neuronal membrane, and decreases threshold voltage and threshold injected current of the neuronal membrane. So fractal gating of potassium channel subunits switching from closed state to open state can improve the sensitivity of the neuronal membrane, and enlarge the encoded strength of neural information.

Abstract: The classical model of voltage-gated ion channels assumes that according to a Markov process ion channels switch among a small number of states without memory, but a bunch of experimental papers show that some ion channels exhibit significant memory effects, and this memory effects can take the form of kinetic rate constant that is fractal. Obviously the gating character of ion channels will affect generation and propagation of action potentials, furthermore, affect generation, coding and propagation of neural information. However, there is little previous research on this series of interesting issues. This paper investigates effects of fractal gating of potassium channel subunits switching from closed state to open state on neuronal behaviours. The obtained results show that fractal gating of potassium channel subunits switching from closed state to open state has important effects on neuronal behaviours, increases excitability, rest potential and spiking frequency of the neuronal membrane, and decreases threshold voltage and threshold injected current of the neuronal membrane. So fractal gating of potassium channel subunits switching from closed state to open state can improve the sensitivity of the neuronal membrane, and enlarge the encoded strength of neural information.

Key words: memory effects, fractal gating, neuronal spiking

中图分类号: (Markov processes)

02.50.Ga

87.16.D- (Membranes, bilayers, and vesicles) 87.16.Uv (Active transport processes) 87.19.L- (Neuroscience) 87.19.R- (Mechanical and electrical properties of tissues and organs)

赵德江, 曾上游, 张争珍. Effects of fractal gating of potassium channels on neuronal behaviours[J]. 中国物理B, 2010, 19(10): 108701-108701.

Zhao De-Jiang(赵德江), Zeng Shang-You(曾上游), and Zhang Zheng-Zhen(张争珍). Effects of fractal gating of potassium channels on neuronal behaviours[J]. Chin. Phys. B, 2010, 19(10): 108701-108701.

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Effects of fractal gating of potassium channels on neuronal behaviours

Effects of fractal gating of potassium channels on neuronal behaviours

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