Christopher Eccleston left the show after a battle with the Daleks. David says the good thing is that every time the Doctor goes through the regeneration process, he changes.
"As an actor, you get to work on a blank canvas." The 34-year-old Presbyterian minister's son from Paisley, Glasgow, has been a fan of Doctor Who since the age of three, when he decided he wanted to be an actor.
"I just loved watching people on the telly," he says.
The star of the BBC's Casanova and Blackpool is surprised to find himself something of a sex symbol. "Casanova is the closest I've come to playing somebody who has to look good. But that particular Casanova didn't have to be an Adonis; he was more of a cheeky chappie."