Natalie Portman is on her way to winning the Academy Award for the psychological thriller Black Swan from 2010 - Portman, left, right, walked on The Drew Barrymore Show, left, on January 28, 'The most demanding part of my life' Portman says she wound up with a head sprain (groin problem) in her role as a ballerina who'slowly' loses her grip on reality, far too intense for the demands of constant physical exertion.