Some other symptoms (not mentioned above) of Hutchinson-Gilford Progeria Syndrome are muscle atrophy, reduced amount of fat, receding chin, micrognathia (unusually small and underdeveloped jaw), an unusually small face, and skeletal problems. It one of the rarest diseases in the world, and possibly the rarest genetic disease. It is thought to be autosomal dominant. That malfunction occurs on chromosome 1, which is a non-sex chromosome (this is not a sex-linked disease). The disease IS sporadic, however, high parental ages have been reported in most cases.
There are several theories regarding the cause. Some scientists have thought that the reduced activity of enzymes play a vital role. Another popular theory is that certain types of compounds, dubbed "free radicals", cause damage to cells. This results in enhanced aging.
Obviously, there are no cures, but the victim can take skin creams, dental surgery, nose spray, etc. Also, the victim can take medicines which increase longevity (although understandably, certain victims would rather shorten their lifespan considering the hellish effects of the disease).