A dressing for applying compression to a wound in a patient includes a
bladder having a non-deformable end wall and a deformable membrane. The
dressing may include a flexible web having an adhesive layer on one side
thereof for securing the dressing to the patient so as to hold the
bladder against the patient's skin. Upon inflation, the deformable
membrane projects towards the patient's skin and exerts pressure on the
wound to reduce the flow of blood from the wound.