Mr Cooper, 28, is one of only three people in the running for the charity’s Campaigner of the Year award.
Last year he ran from Amsterdam to Barcelona, covering the equivalent of 50 marathons in 56 days.
He carried out the endurance feat in memory of his mother, Sheila, who died from a brain haemorrhage when he was only 14.
Mr Cooper, pictured, said: “The staff and volunteers at Edinburgh Headway do a fantastic job. The information and support they provide is a real comfort and once I’d decided to take on this challenge, there was only one charity I had in mind.
“I’m honoured to have helped such a worthwhile charity and I hope my efforts have inspired others to get active.”