Abstract—Mathematical modelling of heart's electrical activity is useful for understanding the details of heart's function, and developing methods for prediction, diagnosis and treatment of various heart diseases. In this work, we modelled the electrical activity of the heart in the three dimensional (3D) ventricular geometry based on transmembrane potential (TMP) distributions. The main intention in this study is to simulate TMP distributions using heart geometry obtained from Magnetic Resonance (MR) Images, and corresponding fiber structure obtained from Diffusion Weighted Images (DWI). Aliev-Panfilov model was used to describe electrical activity of the heart at tissue level, which focuses on the potential wavefront propagation. Using this model, it is also possible to include the anisotropy of the heart muscle in the calculations. Here, we first simulated 3 dimensional mapping of transmembrane distribution and propagation due to an ectopic stimulation on a normal ventricular geometry of the heart. Then, based on action potential morphology changes in a tissue with ischemia, we derived ischemic weight values and equation parameters for our model. By introducing ischemic regions on the ventricular geometry and applying ischemic weight values and parameters, we simulated TMP distribution and propagation in ventricular geometry with partial ischemia.

Index Terms—Transmembrane potential propagation, Aliev-Panfilov model, normal and ischemic tissue, MRI, DWI.

M. Mehdi Seyedebrahimi is with Biomedical Eng. Dep., Middle East Technical University, Ankara, Turkey (email: ebrahimi.mehdi@metu.edu.tr).
Yesim Serinagaoglu is with Electric and Electronic Eng. Dep., Middle East Technical University, Ankara, Turkey. He is also with Biomedical Eng. Dep., Middle East Technical University, Ankara, Turkey.

Cite: M. Mehdi Seyedebrahimi, Yesim Serinagaoglu, "Simulation of Transmembrane Potential Propagation in Normal and Ischemic Tissue Using Aliev-Panfilov Model," International Journal of Bioscience, Biochemistry and Bioinformatics vol. 7, no. 1, pp. 13-19, 2017.