Modeling Electrical Activity of Cardiac Cells

Cellular transmembrane potential and electrocardiogram.

Transmembrane potential is regulated by transmembrane ionic currents and capacitive currents:

$\begin{displaymath} C_m{d\phi\over dt} + I_{ion}(\phi,w) = I_{in} \end{displaymath}$ (1)

where

$\begin{displaymath} {dw\over dt} = g(\phi,w) , \qquad w\in R^n \end{displaymath}$ (2)

Examples include:

Hodgkin-Huxley model

Beeler-Reuter model

Luo-Rudy model(s)

Two variable models (Fitzhugh-Nagumo, reduced HH , Morris-Lecar , Puschino , Aliev, etc.)