Cyclic constructs with an N-terminus and a C-terminus which bind to a natriureticpeptide receptor and include a plurality of amino acid residues, at least oneamino acid surrogate of formula I: where R, R', Q, Y, W, Z, J, x and n are as definedin the specification, and optionally at least one prosthetic group, pharmaceuticalcompositions including such cyclic constructs, and methods of treating congestiveheart failure or other conditions, syndromes or diseases for which inductionof anti hypertensive, cardiovascular, renal or endocrine effects are desired.