Abstract:
:The solutions to a general class of axon partial differential equations proposed by FitzHugh which includes the Hodgkin-Huxley equations are studied. It is shown that solutions to the partial differential equations are exactly the solutions to a related set of integral equations. An iterative procedure for constructing the solutions based on standard methods for ordinary differential equations is given and each set of initial values is shown to lead to a unique solution. Continuous dependence of the solutions on the initial values is established and solutions with initial values in a restricted (physiological) range are shown to remain in that range for all time. The iterative procedure is not suggested as the basis for numerical integration.
journal_name
Biophys Jjournal_title
Biophysical journalauthors
Evans J,Shenk Ndoi
10.1016/S0006-3495(70)86355-Xsubject
Has Abstractpub_date
1970-11-01 00:00:00pages
1090-101issue
11eissn
0006-3495issn
1542-0086pii
S0006-3495(70)86355-Xjournal_volume
10pub_type
杂志文章abstract::In adherent and motile neutrophils NAD(P)H concentration, flavoprotein redox potential, and production of reactive oxygen species and nitric oxide, are all periodic and exhibit defined phase relationships to an underlying metabolic oscillation of approximately 20 s. Utilizing fluorescence microscopy, we have shown in ...
journal_title:Biophysical journal
pub_type: 杂志文章
doi:10.1529/biophysj.104.056663
更新日期:2005-05-01 00:00:00
abstract::Gap junctions formed of connexin46 (Cx46) and connexin50 (Cx50) in lens fiber cells are crucial for maintaining lens transparency. We determined the functional properties of homotypic Cx46, heterotypic Cx46/Cx50, and heteromeric Cx46/Cx50 channels in a communication-deficient neuroblastoma (N2A) cell line, using dual ...
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journal_title:Biophysical journal
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journal_title:Biophysical journal
pub_type: 杂志文章
doi:10.1529/biophysj.104.055517
更新日期:2005-03-01 00:00:00
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journal_title:Biophysical journal
pub_type: 杂志文章
doi:10.1016/S0006-3495(85)83856-X
更新日期:1985-12-01 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:1993-11-01 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:2017-10-03 00:00:00
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journal_title:Biophysical journal
pub_type: 杂志文章
doi:10.1016/s0006-3495(68)86512-9
更新日期:1968-05-01 00:00:00
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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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更新日期:1993-03-01 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:1991-06-01 00:00:00
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journal_title:Biophysical journal
pub_type: 杂志文章
doi:10.1016/j.bpj.2011.12.041
更新日期:2012-02-08 00:00:00
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journal_title:Biophysical journal
pub_type: 杂志文章
doi:10.1016/S0006-3495(69)86381-2
更新日期:1969-02-01 00:00:00
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journal_title:Biophysical journal
pub_type: 杂志文章
doi:10.1016/S0006-3495(94)80481-3
更新日期:1994-07-01 00:00:00
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journal_title:Biophysical journal
pub_type: 杂志文章
doi:10.1016/S0006-3495(84)84082-5
更新日期:1984-12-01 00:00:00
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journal_title:Biophysical journal
pub_type: 杂志文章
doi:10.1016/j.bpj.2012.07.055
更新日期:2012-09-19 00:00:00
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journal_title:Biophysical journal
pub_type: 杂志文章
doi:10.1016/S0006-3495(95)80020-2
更新日期:1995-10-01 00:00:00
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journal_title:Biophysical journal
pub_type: 杂志文章
doi:10.1016/j.bpj.2012.05.050
更新日期:2012-07-18 00:00:00
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journal_title:Biophysical journal
pub_type: 杂志文章
doi:10.1016/S0006-3495(03)74470-1
更新日期:2003-07-01 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:1989-06-01 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:1990-04-01 00:00:00
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更新日期:1996-01-01 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:1989-05-01 00:00:00
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journal_title:Biophysical journal
pub_type: 杂志文章
doi:10.1529/biophysj.106.090209
更新日期:2006-09-15 00:00:00
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journal_title:Biophysical journal
pub_type: 杂志文章
doi:10.1016/S0006-3495(81)84804-7
更新日期:1981-08-01 00:00:00
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pub_type: 杂志文章
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更新日期:1997-05-01 00:00:00
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journal_title:Biophysical journal
pub_type: 杂志文章
doi:10.1016/j.bpj.2015.01.010
更新日期:2015-03-10 00:00:00
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journal_title:Biophysical journal
pub_type: 杂志文章
doi:10.1529/biophysj.107.104554
更新日期:2007-09-15 00:00:00
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journal_title:Biophysical journal
pub_type: 杂志文章
doi:10.1016/S0006-3495(84)84166-1
更新日期:1984-02-01 00:00:00
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journal_title:Biophysical journal
pub_type: 杂志文章
doi:10.1016/S0006-3495(91)82127-0
更新日期:1991-10-01 00:00:00