A cardiovascular and circulatory system (CVS) model has been validated in silico, and in several animal model studies. It accounts for valve dynamics using Heaviside functions to simulate a physiologically accurate scale of the valve aperture dynamics, and therefore does not fully capture valve dysfunction, particularly where the dysfunction involves partial closure. This research describes a new closed-loop CVS model, including a description of the progressive aperture of the mitral valve, and is valid over the full cardiac cycle. This new model is solved for a healthy and diseased mitral valve.