A biomedical interface pressure transducer which is useful for interposing between a limb or tissue and an occlusive band, tourniquet cuff or other biomedical apparatus in order to estimate the pressure and pressure gradient applied to a selected area of the limb or tissue is disclosed. The pressure transducer comprises a modified MEMS pressure sensor and a conformable semisolid body enclosed in a shear relief membrane which translates the pressure applied by the occlusive band to the modified MEMS pressure sensor mounted on a flexible substrate with patterned electrical interconnect tracks allowing the connection of the pressure sensor to digital communication and control circuitry.