Calcitonin mimetic peptides having an amino acid sequence in accordance with SEQ ID NO:8 or SEQ ID NO:53, each of which may be carboxylated at its N-terminal or otherwise modified to reduce the positive charge of the first amino acid and independently of that may be amidated at its C-terminal, and in each of which the 1 and 7 position cysteine residues may together be replaced by ±-aminosuberic acid (Asu) are useful as medicaments for treating diabetes (Type I and/or Type II), excess bodyweight, excessive food consumption, metabolic syndrome, rheumatoid arthritis, non-alcoholic fatty liver disease, osteoporosis, or osteoarthritis, poorly regulated blood glucose levels, poorly regulated response to glucose tolerance tests, or poorly regulated of food intake.