Monodomain model

The monodomain model is a reduction of the bidomain model of the electrical propagation in myocardial tissue. The reduction comes from assuming that the intra- and extracellular domains have equal anisotropy ratios. Although not as physiologically accurate as the bidomain model, it is still adequate in some cases, and has reduced complexity.

Formulation

The monodomain model can be formulated as follows[1]

where is the intracellular conductivity tensor, is the transmembrane potential, is the transmembrane ionic current per unit area, is the membrane conductivity per unit area, is the intra- to extracellular conductivity ratio, and is the membrane surface area per unit volume (of tissue).

Derivation

The bidomain model can be written as

Assuming equal anisotropy ratios, i.e. , the second equation can be written

Inserting this into the first bidomain equation gives

References

  1. Keener J, Sneyd J (2009). Mathematical Physiology II: Systems Physiology (2nd ed.). Springer. ISBN 978-0-387-79387-0.
This article is issued from Wikipedia - version of the 12/29/2015. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.