The University of Auckland
Auckland Bioengineering Institute
Catherine
May
Lloyd
Circulation Research
keyword
The time-dependent potassium reploarisation current.
The closing rate of the d gate.
Calculation of the current.
The opening rate of the f gate.
The opening rate for the j gate.
Ventricular Myocyte
Mammalia
The Luo-Rudy II Model of Mammalian Ventricular Cardiac Action
Potentials, 1994
Lloyd
Catherine
May
2002-03-28T00:00:00+00:00
1071
74
1096
A Dynamic Model of the Cardiac Ventricular Action Potential I. Simulations of Ionic Currents and Concentration Changes
The channel reversal potential.
The reversal potential of the channel.
Calcium leak flux from the network sarcoplasmic reticulum into the
cytosol.
The kinetics of the d gate.
The sodium-calcium exchanger current, exchanges three sodium ions
for one calcium ion.
The background sodium current.
Lloyd
May
Catherine
The reversal potential for the channel.
The change in intracellular sodium concentration.
The closing rate for the j gate.
The total current of the L-type channel current.
The maximum sodium component of the channel's current.
Component grouping together the differential equations for the
various ionic concentrations that the model tracks.
The kinetics of the Xi gate.
The potassium current active at plateau potentials.
74
A Dynamic Model of the Cardiac Ventricular Action Potential I. Simulations of Ionic Currents and Concentration Changes
1071
1096
Catherine Lloyd
The time-dependent activation gate for the time-dependent potassium
current - the X gate.
The closing rate of the f gate.
The uptake flux into the sarcoplasmic reticulum from the cytosol.
A calcium pump for removal of calcium from the cytosol to the
extracellular space.
The kinetics of the fCa gate.
7514509
Fixed maths: alpha_J_calculation in fast_sodium_current_j_gate, beta_K1_calculation in time_independent_potassium_current_K1_gate, and i_NaK_calculation in sodium_potassium_pump.
The maximum potassium component of the channel's current.
The maximum calcium component of the total L-type channel current.
Calculation of the channel current.
The change in intracellular calcium concentration.
A non-specific calcium activated channel - assumed impermeable to
calcium ions but permeable to sodium and potassium ions.
The potassium component of the total L-type channel current.
Luo
Ching-hsing
The potassium component of the channel's current.
Catherine
May
Lloyd
This is the CellML description of Luo and Rudy's mathematical model of the mammalian cardiac ventricular action potential. It is a significant development on their original 1991 model. While this version of the model qualitatively compares well to the LR II paper for the action potential, the intracellular calcium dynamics have not been included correctly - namely there is no calcium-induced calcium-release (CICR) process in this version of the model. The original version of the model simulates CICR via a mechanism whereby CICR is induced if and only if the calcium accumulated in the cell in the 2 ms following (dV/dt)max exceeds a given threshold. This sort of process is a bit tricky to include in the CellML (or at least in a way that will work with the CellML abilitites of CMISS) so has been left out for now.
2003-06-05
electrophysiology
ventricular myocyte
cardiac
c.lloyd@auckland.ac.nz
Calculation of the release channel conductance. This is incorrect as
there is no CICR induced via the accumulation of calcium in the
cytosol in the period following max(dV/dt)
Yoram
Rudy
The calcium pump current.
This is the CellML description of Luo and Rudy's mathematical model of the mammalian cardiac ventricular action potential. It is a significant development on their original 1991 model. While this version of the model qualitatively compares well to the LR II paper for the action potential, the intracellular calcium dynamics have not been included correctly - namely there is no calcium-induced calcium-release (CICR) process in this version of the model. The original version of the model simulates CICR via a mechanism whereby CICR is induced if and only if the calcium accumulated in the cell in the 2 ms following (dV/dt)max exceeds a given threshold. This sort of process is a bit tricky to include in the CellML (or at least in a way that will work with the CellML abilitites of CMISS) so has been left out for now.
The voltage-dependent activation gate for the L-type calcium
channel - the d gate.
Calculation of the current.
1994-06-01
The closing rate for the K1 gate.
The maximum sodium component of the total L-type channel current.
The L-type calcium channel. Primarily a calcium specific channel,
but with small potassium and sodium components, activated at plateau
potentials.
Calculation of the current.
Fixed maths.
The University of Auckland, Auckland Bioengineering Institute
2003-07-30
The change in calcium concentration in the junctional sarcoplasmic
reticulum.
The voltage-dependent inactivation gate for the fast sodium channel -
the h gate.
The opening rate for the h gate.
The release flux from the junctional sarcoplasmic reticulum into the
cytosol.
The closing rate for the h gate.
The time-independent inactivation gate for the time-dependent
potassium current - the Xi gate.
The conductance for the channel.
The kinetics of the m gate.
The voltage-dependent slow inactivation gate for the fast sodium
channel - the j gate.
The sodium/potassium exchanger current which extrudes three sodium
ions from the cell in exchange for two potassium ions entering the
cell.
The University of Auckland, Auckland Bioengineering Institute
James Lawson
The voltage-dependent activation gate for the fast sodium channel -
the m gate.
The steady-state kinetics of the K1 gate.
7514509
The change in intracellular potassium concentration.
The kinetics of the h gate.
The total current through the channel.
The opening rate for the m gate.
c.lloyd@auckland.ac.nz
The fast sodium current is primarily responsible for the upstroke of
the action potential.
The reversal potential for the channel.
The kinetics of the X gate.
Calculation of the fast sodium current.
Auckland Bioengineering Institute
The University of Auckland
The background calcium current.
The kinetics of the f gate.
Luo
Ching-hsing
Rudy
Yoram
Circulation Research
We need to use dV/dt in the calulation of calcium-induced
calcium-release, so we make it accessible here.
The various calcium fluxes into and from the sarcoplasmic reticulum.
The kinetics of for the j gate.
The maximum potassium component of the total L-type channel current.
The gating kinetics for the channel.
Calculation of the channel reversal potential.
This is a dummy equation that we simply use to make grabbing the
value in CMISS much easier.
The calcium-dependent inactivation gate for the L-type calcium
channel - the fCa gate.
This model contains a delay element in its mathematical description of CICR. Discrete delay elements can not yet be represented in CellML (as of CellML version 1.1) as as such, this model is non-functional.
The sodium component of the channel's current.
Calculation of the current.
The reversal potential for the channel.
Calculation of the channel conductance.
2002-03-28
The main component for the model, contains all ionic currents and
defines the transmembrane potential.
Calculation of reversal potential for the fast sodium channel.
Translocation flux from the network to the junctional sarcoplasmic
reticulum.
The opening rate for the X gate.
The sodium component of the total L-type channel current.
Assign the rate of change of potential for the differential
equation.
The voltage-dependent inactivation gate for the L-type calcium
channel - the f gate.
The opening rate for the K1 gate.
Calculation of the exchanger current.
The closing rate for the X gate.
Calculation of the exchanger current.
The time-independent potassium repolarisation current.
The gating variable for the time-independent potassium current - the K1 gate.
The calcium component of the total L-type channel current.
The closing rate for the m gate.
Catherine Lloyd
1994-06-01
The opening rate of the d gate.
The change in calcium concentration in the network sarcoplasmic
reticulum.