Analytical models of propagation in excitable cells

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 simplest of these models is a polynomial model that just uses one variable. It was developed by Hunter, McNaughton and Noble in 1975 and it is commonly used to track cellular depolarisation. However, it does not attempt to model repolarisation. The lowest order polynomial model is the cubic model which can be extended to use a higher order polynomial. As there is only a single variable, the model is very fast to calculate and therefore it may be used on large geometries.

The complete original paper reference is cited below:

Analytical models of propagation in excitable cells, Hunter, P.J., McNaughton, P.A. and Noble, D., 1975, Prog. Biophys. molec. Biol. , 30, 99-144. PubMed ID: 792954

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.