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A new approach for modeling and simulating the contraction of the heart is presented. The model is based on anatomical images and accounts for cardiac muscle fibers and their orientation. The heart is modeled as a structure built of trusses, each representing a group of myofibers with calculated deformations using matrix structural analysis. Three elements are represented; these are the contractile cardiac muscle, the elastic passive collagen, and intracardiac blood interacting with the heart's preload and afterload. Incompressibility of each element is preserved. The conduction system is simulated in the model by transferring the activating signal from one element to another or by Purkinje fibers activation. The method was demonstrated using a three-dimensional one-layer geometrical ventricle with orthogonal fibers and with anatomically oriented fibers.