Abstract:
:This is the first in a series of four papers in which we present the numerical simulation of the application of the voltage clamp technique to excitable cells. In this paper we describe the application of the Crank-Nicolson (1947) method for the solution of the parabolic partial differential equations that describe a cylindrical cell in which the ionic conductances are functions of voltage and time (Hodgkin and Huxley, 1952). This method is compared with other methods in terms of accuracy and speed of solution for a propagated action potential. In addition, differential equations representing a simple voltage-clamp electronic circuit are presented. Using the voltage clamp circuit equations, we simulate the voltage clamp of a single isopotential membrane patch and show how the parameters of the circuit affect the transient response of the patch to a step change in the control potential. The stimulation methods presented in this series of papers allow the evaluation of voltage clamp control of an excitable cell or a syncytium of excitable cells. To the extent that membrane parameters and geometrical factors can be determined, the methods presented here provide solutions for the voltage profile as a function of time.
journal_name
Biophys Jjournal_title
Biophysical journalauthors
Moore JW,Ramón F,Joyner RWdoi
10.1016/S0006-3495(75)85788-2subject
Has Abstractpub_date
1975-01-01 00:00:00pages
11-24issue
1eissn
0006-3495issn
1542-0086pii
S0006-3495(75)85788-2journal_volume
15pub_type
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journal_title:Biophysical journal
pub_type: 杂志文章
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journal_title:Biophysical journal
pub_type: 杂志文章
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journal_title:Biophysical journal
pub_type: 杂志文章
doi:10.1529/biophysj.104.044701
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journal_title:Biophysical journal
pub_type: 杂志文章
doi:10.1529/biophysj.106.093757
更新日期:2007-01-15 00:00:00
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pub_type: 杂志文章
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更新日期:2007-11-01 00:00:00
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journal_title:Biophysical journal
pub_type: 杂志文章
doi:10.1016/j.bpj.2009.04.051
更新日期:2009-07-22 00:00:00
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pub_type: 杂志文章
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更新日期:2006-01-01 00:00:00
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pub_type: 杂志文章
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更新日期:2006-06-15 00:00:00
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pub_type: 杂志文章
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更新日期:2003-03-01 00:00:00
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journal_title:Biophysical journal
pub_type: 杂志文章
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更新日期:2002-11-01 00:00:00
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journal_title:Biophysical journal
pub_type: 杂志文章
doi:10.1529/biophysj.106.080887
更新日期:2006-11-15 00:00:00
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更新日期:2000-07-01 00:00:00
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pub_type: 杂志文章
doi:10.1016/S0006-3495(00)76678-1
更新日期:2000-03-01 00:00:00
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journal_title:Biophysical journal
pub_type: 杂志文章
doi:10.1016/j.bpj.2017.04.044
更新日期:2017-06-06 00:00:00
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pub_type: 杂志文章
doi:10.1529/biophysj.104.053074
更新日期:2005-05-01 00:00:00
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更新日期:2005-01-01 00:00:00
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journal_title:Biophysical journal
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更新日期:2005-07-01 00:00:00
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更新日期:2000-09-01 00:00:00
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journal_title:Biophysical journal
pub_type: 杂志文章
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更新日期:1985-11-01 00:00:00
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journal_title:Biophysical journal
pub_type: 杂志文章
doi:10.1016/S0006-3495(79)85157-7
更新日期:1979-10-01 00:00:00
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journal_title:Biophysical journal
pub_type: 杂志文章,评审
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更新日期:2020-05-19 00:00:00
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journal_title:Biophysical journal
pub_type: 杂志文章
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更新日期:2013-06-18 00:00:00
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journal_title:Biophysical journal
pub_type: 杂志文章
doi:10.1016/j.bpj.2016.06.017
更新日期:2016-08-09 00:00:00
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journal_title:Biophysical journal
pub_type: 杂志文章
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更新日期:2016-06-07 00:00:00
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journal_title:Biophysical journal
pub_type: 杂志文章
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更新日期:2011-06-22 00:00:00
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journal_title:Biophysical journal
pub_type: 杂志文章
doi:10.1016/S0006-3495(03)74660-8
更新日期:2003-10-01 00:00:00
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journal_title:Biophysical journal
pub_type: 杂志文章
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更新日期:1993-09-01 00:00:00