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题名A bubble model for the gating of Kv channels
作者
发表日期2023-10-01
发表期刊IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
ISSN/eISSN0272-4960
卷号88期号:5页码:805-836
摘要Voltage-gated K channels play fundamental roles in many biological processes, such as the generation of the action potential. The gating mechanism of K channels is characterized experimentally by single-channel recordings and ensemble properties of the channel currents. In this work, we propose a bubble model coupled with a Poisson–Nernst–Planck (PNP) system to capture the key characteristics, particularly the delay in the opening of channels. The coupled PNP system is solved numerically by a finite-difference method and the solution is compared with an analytical approximation. We hypothesize that the stochastic behaviour of the gating phenomenon is due to randomness of the bubble and channel sizes. The predicted ensemble average of the currents under various applied voltage across the channels is consistent with experimental observations, and the Cole–Moore delay is captured by varying the holding potential.
关键词bubble model Cole–Moore delay Poisson–Nernst–Planck system voltage-gated channels
DOI10.1093/imamat/hxae002
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语种英语English
Scopus入藏号2-s2.0-85188801567
引用统计
文献类型期刊论文
条目标识符https://repository.uic.edu.cn/handle/39GCC9TT/11562
专题北师香港浸会大学
通讯作者Huang,Huaxiong
作者单位
1.Department of Mathematics and Statistics,Utah State University,Logan,3900 Old Main Hill,84322 UT,United States
2.Department of Applied Mathematics,Illinois Institute of Technology,Chicago,60616 IL,United States
3.Department of Physiology and Biophysics,Rush University,Chicago,60612 IL,United States
4.Zu Chongzhi Center for Mathematics and Computational Sciences,Duke Kunshan University,Kunshan,8 Duke Ave, Jiangsu,215316,China
5.Research Center for Mathematics,Advanced Institute of Natural Sciences,Beijing Normal University,Zhuhai,Guangdong,519088,China
6.Guangdong Provincial Key Laboratory of Interdisciplinary Research and Application for Data Science,BNU-HKBU United International College,Zhuhai,Guangdong,519088,China
7.Department of Mathematics and Statistics,York University,Toronto,M3J 1P3,Canada
8.Laboratory of Mathematics and Complex Systems,MOE,Beijing Normal University,Beijing,100875,China
通讯作者单位北师香港浸会大学
推荐引用方式
GB/T 7714
Song,Zilong,Eisenberg,Robert,Xu,Shixinet al. A bubble model for the gating of Kv channels[J]. IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications), 2023, 88(5): 805-836.
APA Song,Zilong, Eisenberg,Robert, Xu,Shixin, & Huang,Huaxiong. (2023). A bubble model for the gating of Kv channels. IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications), 88(5), 805-836.
MLA Song,Zilong,et al."A bubble model for the gating of Kv channels". IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications) 88.5(2023): 805-836.
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