Unfortunately, asthma is not a curable condition. It is controversial whether asthma can be outgrown. Studies performed at the University of Arizona in Tucson have shown that up to 60% of children by the age of six can outgrow asthma. But if a child has a strong family history of asthma, has atopic dermatitis (eczema) or significant early and heavy exposure to smoke, their chance of outgrowing asthma diminishes greatly.