Recent developments in computer technology and mathematical modeling have lead to a remarkable improvement in the computational modeling of the cardiovascular system. The virtual heart models have huge potential to understand the electrophysiological and mechanical response of the heart in the healthy and pathological cases. The simulation of physidogical behavior of the heart depends on the usage of physiologically sound constitutive models besides the incorporation of the efficient, robust, and stable numerical algorithms. In this contribution, the conservation of linear momentum and excitation equation in the Eulerian setting arc solved monolithically through an entirely finite-element based implicit algorithm. The incorporation of the novel generalized Hill model enables us to combine the advantageous features of the active stress and active-strain models. The evolution of the left ventricular pressure is incorporated by a Windkessel-like model. The proposed model is then used to investigate the effect of the myocardial infarction on the pressure-volume curves. (C) 2014 The Authors. Published by Elsevier B.V.