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Chin. Phys. B, 2017, Vol. 26(12): 128703    DOI: 10.1088/1674-1056/26/12/128703
Special Issue: SPECIAL TOPIC — Soft matter and biological physics
SPECIAL TOPIC—Soft matter and biological physics Prev   Next  

Biexponential distribution of open times of a toy channel model

Xiang Li(李翔)1,2, Jing-Jing Zhong(钟金金)1, Xue-Juan Gao(高学娟)1, Yu-Ning Wu(吴宇宁)1, Jian-Wei Shuai(帅建伟)1,2,3, Hong Qi(祁宏)4,5
1. Department of Physics, Xiamen University, Xiamen 361005, China;
2. State Key Laboratory of Cellular Stress Biology, Innovation Center for Cell Signaling Network, Xiamen University, Xiamen 361102, China;
3. Research Institute for Biomimetics and Soft Matter, Fujian Provincial Key Laboratory for Soft Functional Materials Research, Xiamen University, Xiamen 361102, China;
4. Complex Systems Research Center, Shanxi University, Taiyuan 030006, China;
5. Shanxi Key Laboratory of Mathematical Techniques and Big Data Analysis on Disease Control and Prevention, Shanxi University, Taiyuan 030006, China
Abstract  

The biexponential distributions of open times are observed in various types of ion channels. In this paper, by discussing a simple channel model, we show that there are two different schemes to understand the biexponential distribution of open times. One scheme is mathematically strict based on generator matrix theory, while the other one has a clear physical explanation according to an approximation process with numerical simulation of Markovian channel dynamics. Our comparison results suggest that even for biologically complex channels, in addition to carrying out a stochastic simulation, the strict theoretical analysis should be considered to understand the multiple exponential distributions of open times.

Keywords:  ion channel      biexponential distribution      generator matrix theory      Markovian simulation  
Received:  31 August 2017      Revised:  09 September 2017      Accepted manuscript online: 
PACS:  87.16.Vy (Ion channels)  
  87.50.cf (Biophysical mechanisms of interaction)  
  87.17.Aa (Modeling, computer simulation of cell processes)  
Fund: 

Project supported by the National Natural Science Foundations of China (Grant Nos. 11504214, 31370830, and 11675134), the 111 Project, China (Grant No. B16029), and the China Postdoctoral Science Foundation (Grant No. 2016M602071).

Corresponding Authors:  Hong Qi     E-mail:  hongqi@sxu.edu.cn

Cite this article: 

Xiang Li(李翔), Jing-Jing Zhong(钟金金), Xue-Juan Gao(高学娟), Yu-Ning Wu(吴宇宁), Jian-Wei Shuai(帅建伟), Hong Qi(祁宏) Biexponential distribution of open times of a toy channel model 2017 Chin. Phys. B 26 128703

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