This study aims at assessing whether one can decrease the future incidence of beta-cell autoimmunity and/or type 1 diabetes in children who have an increased genetic risk for the disease, by administering in infancy after breast feeding until the age of 6-8 months such a formula, in which the cow's milk proteins have been hydrolyzed to smaller peptides. The children in the control group, carrying a similar increased genetic risk, will receive a conventional cow's milk based formula .