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