Use of Time Integrals of the ECG to Solve the Inverse Problem

With the use of a bisyncytial model of the heart, it is shown that time integrals of QRS and QSR-T are related to the amplitude (A), area (μ) activation time (τ) the cellular action potential (AP) on the closed surface surrounding the ventricles. For the normal heart, solution of the inverse problem would give μ and τ on the heart surface and, by interpolation, in the myocardium, allowing reconstruction of the AP. In the case of ischemia and infarction, μ and Aτ would be available which, while not defining the AP, might provide valuable information. Necrosis introduces an unknown perturbation.