Please describe the disease of children that makes them grow older 4x faster?

Progeria: Affected children, however, do not become sexually mature or reproduce as a result of severe failure to thrive.

Progeria: Progeria is a self limited process with most recorded cases appearing as new mutations in families that have other normal children. There are rare sibships reported indicating an autosomal recessive form exists.Most don't survive their teens.The oldest on record died at 27. Death is often due to advanced heart disease.

Mutations in the : lamin A gene on Chromosome 1q22 cause classic infantile-onset & later childhood-onset Hutchinson-Gilford progeria syndrome. Mutations can be "de novo", new, or autosomal recessive, when a fetus inherits the mutant gene from both unaffected parents. Other progeroid syndromes exist & De Barsy Syndrome looks similar. It's described on ghr.nlm.nih.gov/condition/hutchinson-gilford-progeria-syndrome.