A simulation of the breakup of spiral waves using bidomain equations in electrical cardiology.

摘要

Ventricular fibrillation, which is the most severe arrhythmia, often results in sudden cardiac death. Therefore there is a great need for developing a realistic partial differential equation model of the human heart and finding a better, faster method for solving the resultant system. Bidomain equations are popularly known as the most complete description of cardiac electrical activity.; We developed a three-dimensional ADI method to solve the Bidomain equations with a modified Fitz-Hugh Nagumo model as an ionic model. Using the ADI method, the three-dimensional problem reduces to a succession of three one-dimensional problems. We show the transmembrane action potential with different ionic models such as the modified Fitz-Hugh Nagumo model and Fenton-Karma model. We are interested in the parameter gf of the Fitz-Hugh Nagumo model and we illustrate the different results varying the gf values in a monodomain model and bidomain model simulation. We also studied the effect of fiber rotations in our simulation. Fiber rotation in monodomain equation plays an important part, but the effect of the gf parameter has a more prominent role than fiber rotation in the bidomain model.