Ali's parents Nabi Hussain Khan, 50, and Razia, 46, are first cousins and were the product of an arranged marriage 32 years ago.
Their children Rehana, Iqramul, Gudiya and Rubina have all died from Progeria between the ages of 12 and 24.
A fifth child, a boy who died within 24 hours of being born, is also thought to have had the rare condition.
