Gradual Egg-tolerance Induction in Hen's Egg Allergic Children

1. The investigators here want to test the hypothesis that a total period of 18 months of gradual open introduction of a certain egg product with regard to full egg tolerance induction is not inferior when compared to a total period of 30 months gradual open introduction of a certain egg product (see steps for the specific egg products) after tolerance for baked egg has been obtained. 2. The investigators also want to define step-specific \'tolerance-failures\' and study the relevance of specific IgE to specific egg components to predict failures at each step.