A consistent model for cardiac deformation estimation under abnormal ventricular muscle conditions

Deformation modeling of cardiac muscle is an important issue in the field of cardiac analysis. For this reason, many approaches have been developed to best estimate the cardiac muscle deformation, and to obtain a practical model to use in diagnostic procedures. In this paper, using a point-wise approach in deformation estimation, we try to estimate the deformation under some abnormal conditions of cardiac muscle. First, the endocardial and epicardial contour points are ordered with respect to the center of gravity of endocardial contour and displacement field is extracted. Then to solve the governing equation in deformation, we apply boundary conditions in accordance with computed displacement field. Using obtained displacement field through the cardiac muscle, strain map is extracted to show the mechanical behavior of cardiac muscle. The proposed algorithm was implemented in MATLAB and the results of the algorithm on a non-homogenous ring model showed a good correlation with the results obtained by ANSYS. Keywords— Deformation Estimation, Cardiac Muscle Abnormality, Strain Map.