The disclosure of the present application provides methods for the noninvasive determination of cardiac and pulmonary pressures based off of patient-specific medical images and one or more computations. In one exemplary embodiment, the method comprises noninvasively generating a patient-specific medical image of at least a portion of a heart, determining a free vibration measurement from the left ventricular free wall based on the patient-specific image, and performing at least one computation using the free vibration measurement to noninvasively determine a cardiac or pulmonary pressure.
