May
Catherine
Lloyd
A.
Cuellar
Autumn
Lloyd
May
Catherine
The University of Auckland, Bioengineering Research Group
Calculation of the fast sodium current.
Corrected several equations.
keyword
2002-07-19
Modifying units and adding a stimulus current.
Added publication date information.
The standard Beeler Reuter (1977) slow inward (calcium) current
formulation.
David
Nickerson
P
The voltage-dependent inactivation gate of the fast sodium channel -
the h gate.
Mammalia
Cardiac Myocyte
The Ebihara-Johnson Model of the Fast Sodium Current in Cardiac Muscle,
1980
Added more metadata.
Lloyd
Catherine
May
Lloyd
May
Catherine
Lloyd
Catherine
May
2002-02-25
The standard Beeler Reuter (1977) gating variable for the
time-dependent outward potassium current.
Updated metadata to conform to the 16/1/02 CellML Metadata 1.0
Specification.
2003-04-09
7260301
790
Fast sodium current in cardiac muscle: A quantitative description
32
779
electrophysiology
c.lloyd@auckland.ac.nz
The kinetics of the h gate.
The closing rate for the m gate.
The standard Beeler Reuter (1977) inactivation gate for the slow
inward current.
The opening rate of the h gate.
The standard Beeler Reuter (1977) time-dependent outward (potassium)
current.
E
A
Johnson
cardiac
fast sodium current
channel kinetics
The closing rate of the h gate.
2001-12-17
1980-01-01
Added the components of the Beeler-Reuter Model.
Corrected the membrane voltage differential equation.
The standard Beeler Reuter (1977) activation gate for the slow
inward current.
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.
This is a dummy equation that we simply use to make grabbing the
value in CMISS much easier.
Catherine Lloyd
The voltage-dependent activation gate for the fast sodium channel -
the m gate.
2003-07-22
The gating kinetics of the m gate.
Autumn
A
Cuellar
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.
The standard Beeler Reuter (1977) time-independent outward
(potassium) current.
Ebihara
L
Biophysical Journal
The University of Auckland
The Bioengineering Research Group
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.
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).
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.