Interatrial shunts having incorporated physiologic sensors are provided for monitoring and treating cardiovascular syndromes, including heart failure and pulmonary hypertension, in which the one or more sensors are affixed to the shunt to measure a physiologic parameter within the interatrial shunt. The one or more sensors may be directly affixed to or within a lumenal surface of the shunt or may be disposed on a support structure in a spaced relation to the shunt lumen, the one or more sensors disposed at locations subject to little or no pannus formation or cardiac wall motion artifact.