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题名Selectivity of the KcsA potassium channel: Analysis and computation
作者
发表日期2020
发表期刊Journal of theoretical biology
ISSN/eISSN0022-5193
卷号498
摘要

In this paper, we investigate the electric discharge of electrocytes by extending our previous work on the generation of electric potential. We first give a complete formulation of a single cell unit consisting of an electrocyte and a resistor, based on a Poisson-Nernst-Planck (PNP) system with various membrane currents as interfacial conditions for the electrocyte and a Maxwell's model for the resistor. Our previous work can be treated as a special case with an infinite resistor (or open circuit). Using asymptotic analysis, we simplify our PNP system and reduce it to an ordinary differential equation (ODE) based model. Unlike the case of an infinite resistor, our numerical simulations of the new model reveal several distinct features. A finite current is generated, which leads to non-constant electric potentials in the bulk of intracellular and extracellular regions. Furthermore, the current induces an additional action potential (AP) at the non-innervated membrane, contrary to the case of an open circuit where an AP is generated only at the innervated membrane. The voltage drop inside the electrocyte is caused by an internal resistance due to mobile ions. We show that our single cell model can be used as the basis for a system with stacked electrocytes and the total current during the discharge of an electric eel can be estimated by using our model. Copyright © 2020 Elsevier Ltd. All rights reserved.

关键词Asymptotic analysis Electric discharge Electrocytes Numerical simulation Poisson-Nernst-Planck system
DOI10.1016/j.jtbi.2020.110294
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收录类别SCIE
语种英语English
WOS研究方向Life Sciences & Biomedicine - Other Topics ; Mathematical & Computational Biology
WOS类目Biology ; Mathematical & Computational Biology
WOS记录号WOS:000537670700006
Scopus入藏号2-s2.0-85085903818
引用统计
被引频次:5[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符https://repository.uic.edu.cn/handle/39GCC9TT/2163
专题理工科技学院
通讯作者Huang, H.
作者单位
1.Department of Mathematics, University of California, Riverside, CA 92521, United States
2.Department of Mathematics & Statistics, York University, Toronto, M3J 1P3, Ontario, Canada
3.Department of Applied Mathematics, Feng Chia University, Taichung, 40724, Taiwan
4.BNU-UIC Joint Mathematical Research Centre, Zhuhai, 519087, Guangdong, China
5.Department of Computer Science, University of Toronto, Toronto, M5T 3A1, Ontario, Canada
推荐引用方式
GB/T 7714
Song, Z,Cao, X.,Horng, T.-L.et al. Selectivity of the KcsA potassium channel: Analysis and computation[J]. Journal of theoretical biology, 2020, 498.
APA Song, Z, Cao, X., Horng, T.-L., & Huang, H. (2020). Selectivity of the KcsA potassium channel: Analysis and computation. Journal of theoretical biology, 498.
MLA Song, Z,et al."Selectivity of the KcsA potassium channel: Analysis and computation". Journal of theoretical biology 498(2020).
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