Compounds which inhibit certain activities of amylin but which also act as amylin agonists with respect to other amylin activities are disclosed. Such compounds are useful in treating disturbances in fuel metabolism in mammals, including but not limited to, diabetes, mellitus, including Type I diabetes and Type II diabetes, impaired glucose tolerance, insulin resistance and Syndrome X. The present invention also relates to methods of treating Type I diabetes, beneficially regulating gastrointestinal motility, treating impaired glucose tolerance, treating postprandial hyperglycemia, treating obesity and treating Syndromne X, comprising administration of a therapeutically effective amount of certain compounds, as described herein.