A method treating a patient includes administering a physiologically effective amount of a fibrillation-resistant insulin analogue or a physiologically acceptable salt thereof to the patient. The fibrillation-resistant insulin analogue or a physiologically acceptable salt thereof, contains an insulin A-chain sequence modified at position A8 and an insulin B-chain sequence or an analogue thereof. The fibrillation-resistant insulin analogue may exhibit thermodynamic stability similar to or exceeding that of wild-type human insulin and displays a susceptibility to fibrillation similar to or exceeding that of wild-type human insulin. An insulin analogue may display greater in vitro insulin receptor binding than normal insulin while displaying binding to IGFR less than twice that of normal insulin and less than that of fast-acting insulin analogs. The fibrillation-resistant insulin may be used to treat a patient by subcutaneous injection or by using an implantable or external insulin pump, due to its fibrillation resistance.
