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

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