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