c.lloyd@auckland.ac.nz
The University of Auckland
The Bioengineering Research Group
The standard Beeler Reuter (1977) time-dependent outward (potassium)
current.
E
A
Johnson
The gating kinetics of the m gate.
Cardiac Myocyte
Mammalia
The Ebihara-Johnson Model of the Fast Sodium Current in Cardiac Muscle,
1980
The University of Auckland, Bioengineering Research Group
Autumn
Cuellar
A.
The main differential equation for the model specifying the rate of
change of the transmembrane potential as the sum of the ionic
currents and an applied stimulus current.
Ebihara
L
May
Lloyd
Catherine
cardiac
790
32
779
Fast sodium current in cardiac muscle: A quantitative description
2002-07-19
fast sodium current
electrophysiology
channel kinetics
Modifying units and adding a stimulus current.
Catherine Lloyd
May
Lloyd
Catherine
The voltage-dependent inactivation gate of the fast sodium channel -
the h gate.
Autumn
A
Cuellar
Corrected several equations.
The standard Beeler Reuter (1977) inactivation gate for the slow
inward current.
P
Nickerson
David
Lloyd
May
Catherine
Added more metadata.
Corrected the membrane voltage differential equation.
The closing rate of the h gate.
In the calculation of the fast sodium current there is no variable
corresponding to the j gate used in the Beeler-Reuter model because
the experimental results showed no need to include a second
deactivation variable.
Updated metadata to conform to the 16/1/02 CellML Metadata 1.0
Specification.
May
Catherine
Lloyd
The voltage-dependent activation gate for the fast sodium channel -
the m gate.
The opening rate for the m gate. The equation for alpha-m was
incorrectly stated in the original 1980 paper, but it appears as
shown below in Spach and Heidlage (1993), who cite a later paper by
Johnson as their source (Johnson, 1983).
The closing rate for the m gate.
7260301
Added the components of the Beeler-Reuter Model.
The kinetics of the h gate.
keyword
In their 1980 paper, Ebihara and Johnson do not include all the
ionic fluxes across the membrane of the cardiac muscle cell, they
only describe the fast sodium current. The Ebihara-Johnson model
can be coupled to the Beeler-Reuter model (1977) as a direct
replacement for the sodium current. The other ionic currents were
very similar to those found using the Beeler-Reuter model. I have
included these equations from the Beeler-Reuter 1977 model in this
CellML description.
2003-04-09
This is the CellML description of Ebihara and Johnson's mathematical model of the fast sodium current in cardiac muscle (1980). It describes the ionic current with Hodgkin-Huxley formalism. This model was the first to specifically target a single channel and attempt to quantify its parameters.
Biophysical Journal
2003-07-22
May
Catherine
Lloyd
The standard Beeler Reuter (1977) time-independent outward
(potassium) current.
Added publication date information.
1980-01-01
Calculation of the fast sodium current.
The standard Beeler Reuter (1977) activation gate for the slow
inward current.
The standard Beeler Reuter (1977) slow inward (calcium) current
formulation.
The standard Beeler Reuter (1977) gating variable for the
time-dependent outward potassium current.
The opening rate of the h gate.
2002-02-25
This is a dummy equation that we simply use to make grabbing the
value in CMISS much easier.
2001-12-17