A device (10A, 10B, 10D) comprising: a pliable membrane having a semi-rigid structural member, the membrane configured to conform to a tissue surface of a hand of a patient and the structural member configured to retain the membrane in a particular shape corresponding to the tissue surface, the pliable membrane comprising a first portion to be positioned on a finger of the patient, an elongated second portion forming a strap adapted to encircle a wrist of the patient and having a first fastener portion at a first end and a second fastener portion at a second end, and an elongated base structure extending between the first portion and the strap at a position between said first and second fastener portions (28A, 28B); a sensor module (12A, 12B) affixed to the first portion of the pliable membrane, the sensor module (12A, 12B) configured to generate an electrical signal corresponding to a physiological parameter associated with the tissue surface associated with the finger of the patient; and a communication module affixed to the second portion and coupled to the sensor module (12A, 12B) by an electrical conductor (12D, 22), the communication module configured to receive the electrical signal and wirelessly communicate data corresponding to the electrical signal with a remote device, wherein the base structure includes relief structures configured to allow flex in a side to side direction relative to the strap, and further wherein the first portion includes a plurality of apertures including ventilation holes 14 to provide circulation to the underlying tissue site and apertures (16A, 16B) are sized and distributed to provide clearance for the finger. a pliable membrane having a semi-rigid structural member, the membrane configured to conform to a tissue surface of a hand of a patient and the structural member configured to retain the membrane in a particular shape corresponding to the tissue surface, the pliable membrane comprising a first portion to be positioned on a finger of the patient, an elongated second portion forming a strap adapted to encircle a wrist of the patient and having a first fastener portion at a first end and a second fastener portion at a second end, and an elongated base structure extending between the first portion and the strap at a position between said first and second fastener portions (28A, 28B); a sensor module (12A, 12B) affixed to the first portion of the pliable membrane, the sensor module (12A, 12B) configured to generate an electrical signal corresponding to a physiological parameter associated with the tissue surface associated with the finger of the patient; and a communication module affixed to the second portion and coupled to the sensor module (12A, 12B) by an electrical conductor (12D, 22), the communication module configured to receive the electrical signal and wirelessly communicate data corresponding to the electrical signal with a remote device, wherein the base structure includes relief structures configured to allow flex in a side to side direction relative to the strap, and further wherein the first portion includes a plurality of apertures including ventilation holes 14 to provide circulation to the underlying tissue site and apertures (16A, 16B) are sized and distributed to provide clearance for the finger.