中国物理B ›› 2017, Vol. 26 ›› Issue (12): 128703-128703.doi: 10.1088/1674-1056/26/12/128703

所属专题： SPECIAL TOPIC — Soft matter and biological physics

• SPECIAL TOPIC—Soft matter and biological physics • 上一篇    下一篇

Biexponential distribution of open times of a toy channel model

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)   

  1. 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
  • 收稿日期:2017-08-31 修回日期:2017-09-09 出版日期:2017-12-05 发布日期:2017-12-05
  • 通讯作者: Hong Qi E-mail:hongqi@sxu.edu.cn
  • 基金资助:

    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).

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. 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
  • Received:2017-08-31 Revised:2017-09-09 Online:2017-12-05 Published:2017-12-05
  • Contact: Hong Qi E-mail:hongqi@sxu.edu.cn
  • Supported by:

    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).

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摘要：

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.

关键词: ion channel, biexponential distribution, generator matrix theory, Markovian simulation

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.

Key words: ion channel, biexponential distribution, generator matrix theory, Markovian simulation

中图分类号:  (Ion channels)

  • 87.16.Vy
87.50.cf (Biophysical mechanisms of interaction) 87.17.Aa (Modeling, computer simulation of cell processes)