Adam Yauch, who has undergone treatment for a cancerous parotid gland and a lymph node, became a vegan at the recommendation of his Tibetan doctors.
He is survived by his wife and daughter. It is not yet known whether his death is related to the disease.
More top news
A list of commemorative events as the UK marks a decade to the day 52 were killed and hundreds injured in London terror attacks.
Larger stores could be allowed to open beyond the current six-hour limit on Sundays under a relaxation of rules in Wednesday's Budget.
IS is now attracting women and whole families as well as young men - but will any return to carry out another 7/7?