Discloses the use of an insulin analogue for the preparation of a medicament for lowering the blood sugar of a mammal, wherein the insulin analogue comprises a single chain polypeptide of general structure of B-C-A where: I. wherein B comprises a polypeptide having the sequence: FVNQHLCGSX2LVEAL YLVCGERGFFYTX3 X4T (SEQ. ID. NO. 38) where X2 is D or H, X3 is P, D or K, and X4 is K or P II. where C is a polypeptide of 4-13 amino acids, and III. where A comprises a polypeptide having the sequence: GIVEQCCXISICSLYQLENYCN (SEQ. ID. NO. 37) where Xl is H Further discloses the polypeptide sequence of C. The application is in the treatment of diabetes or aberrant blood glucose homeostasis.