# Monodomain model

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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.

## FormulationEdit

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).

## DerivationEdit

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

## ReferencesEdit

**^**Keener J, Sneyd J (2009).*Mathematical Physiology II: Systems Physiology*(2nd ed.). Springer. ISBN 978-0-387-79387-0.

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