The van Capelle-Durrer Simplified Cardiac Myocyte Model
Catherine
Lloyd
Bioengineering Institute, University of Auckland
Model Status
This is the original unchecked version of the model imported from the previous
CellML model repository, 24-Jan-2006.
Model Structure
Often it is not necessary to model the ionic currents of a cell with the accuracy and complexity inherent in the biophysically based models. With a view to investigating phenomena on a larger spatial and temporal scale, several ionic current models have been developed that do not seek to model subcellular processes but only to provide an action potential at a minimal computational cost.
The model created by van Capelle and Durrer (1980) follows the same general form as the FitzHugh-Nagumo model (see The FitzHugh-Nagumo Model, 1961), with a single activation variable and a single recovery variable. It also includes the ability to add more complex parameter representations.
The complete original paper reference is cited below:
Computer simulation of arrhythmias in a network of coupled excitable elements, van Capelle, F.J.L., Durrer, D., 1980,
Circ. Res.
, 47, 454-466. PubMed ID: 7408126
The raw CellML description of the simplified cardiac myocyte models can be downloaded in various formats as described in . For an example of a more complete documentation for an electrophysiological model, see The Hodgkin-Huxley Squid Axon Model, 1952.
$\mathrm{I\_ion}=-Y\mathrm{i1\_Vm}-(1.0-Y)\mathrm{i0\_Vm}\frac{d Y}{d \mathrm{time}}=\frac{1.0}{T}(\mathrm{Y\_infinity\_Vm}-Y)\mathrm{Y\_infinity\_Vm}=\begin{cases}0.0 & \text{if $\mathrm{Vm}< -80.0$}\\ 1.0 & \text{if $\mathrm{Vm}> -60.0$}\\ \frac{\mathrm{Vm}+80.0}{20.0} & \text{otherwise}\end{cases}\mathrm{i1\_Vm}=\begin{cases}0.05+0.005(\mathrm{Vm}+70.0) & \text{if $\mathrm{Vm}< -70.0$}\\ 0.06+0.00425\mathrm{Vm} & \text{if $\mathrm{Vm}> 0.0$}\\ 0.05+\frac{0.01(\mathrm{Vm}+70.0)}{70.0} & \text{otherwise}\end{cases}\mathrm{i0\_Vm}=\mathrm{i1\_Vm}+\mathrm{f\_Vm}\mathrm{f\_Vm}=\begin{cases}0.0784+0.02(\mathrm{Vm}+74.3) & \text{if $\mathrm{Vm}< -74.3$}\\ -0.9884+0.0171(\mathrm{Vm}+27.8) & \text{if $\mathrm{Vm}> -27.8$}\\ \mathrm{af}\mathrm{Vm}^{3.0}+\mathrm{bf}\mathrm{Vm}^{2.0}+\mathrm{cf}\mathrm{Vm}+\mathrm{df} & \text{otherwise}\end{cases}$
Cardiac Myocyte
simplified model
cardiac myocyte
electrophysiology
arrythmia
cardiac
minimal model
Autumn
Cuellar
A
Catherine Lloyd
The University of Auckland
The Bioengineering Research Group
1980-09-01
This is the CellML description of the van Capelle-Durrer 1980 simplified model of a cardiac myocyte. It follows the same general form as the FitzHugh-Nagumo model with a single activation variable and a single recovery variable. The model also includes the ability to add more complex parameter representations.
2002-07-22
The University of Auckland, Bioengineering Research Group
Added publication date information.
D
Durrer
2003-04-09
Catherine
Lloyd
May
2001-12-28
Updated metadata to conform to the 16/1/02 CellML Metadata 1.0
Specification.
7408126
keyword
Circulation Research
2002-01-21
The van Capelle-Durrer Simplified Model of a Cardiac Myocyte
Cardiac Myocyte
Computer simulation of arrhythmias in a network of coupled excitable elements
47
454
466
F
van Capelle
J
Catherine
Lloyd
May
Autumn
Cuellar
A.
Added more metadata.
c.lloyd@auckland.ac.nz