It is necessary to use complicated myocardial cell model and heart model to evaluate the regional energy production and consumption which leads to the unrealistic computational time. In this research, a left ventricle (LV) simulation model was constructed which includes accurate myocardial cell model. In order to simulate the model in realistic time, we introduced an approximation model of the crossbridge model which can be calculated with weak coupling calculation. The LV model was combined with a circulation model to validate the proposed model by calculating the hemodynamics parameters and ventricular energetics indices. The ESPVR (End Systolic Pressure Volume Relation) showed linear relation, and also the PVA - ATP consumption relation showed linear relation which are widely known as the physiological characteristics of mammalian hearts. From these results, we can say that the model can be used as a model for physiological simulation experiments which are related to the ventricular energetics.