Patients with aortic valve stenosis often have calcified valve leaflets that impede blood flow. Transcatheter aortic valve replacement (TAVR) offers patients a minimally invasive option to replace their aortic valve by guiding a catheter through their blood vessels to deploy a bioprosthetic valve. We developed a 0-D model of the left heart to investigate TAVR performance in a patient-specific context. To achieve this, we constructed a lumped-parameter representation of cardiovascular dynamics, incorporating flows, pressures, resistances, and compliances of the heart chambers and valves. These physiological elements were represented through a system of differential equations, which we solved numerically using Backward Euler. We simulated flow and pressure dynamics upstream and downstream of the aortic valve to better capture post-TAVR behavior. By tuning the model to post-TAVR clinical data found in the literature, we demonstrated its ability to capture patient-specific hemodynamics. This tuning allows for more accurate simulation of post-TAVR cardiac dynamics, providing cardiologists with a tool to optimize patient outcomes.