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In this study, electrical and mechanical properties of the heart tissue are modeled for normal heart beat. Contraction of the tissue via electrical activation has also been considered in terms of time synchronization. “Cellular automaton” method is used for modeling the 2 dimensional heart tissue and electromechanical interactions. Using this method, both the normal heart beat's electrical activation and the arrhythmia excitation could be taken on, without using complex differential equations. To consider the anisotropy of the heart tissue, fiber orientations have also been added to the model.