Sorry to be disheartening Alibran but your white patch sound horribly like a fungal infection under the nail. I´ve got one too, with yukky brown around the white patch, and an ingrowing problem. Painful, though not when running, oddly enough. Been treating it for two years with an antifungal filing-off and paint stuff, to no effect. Next week it's going to see a scalpel wealding doctor as the GP says that it needs the nail base to be treated, so I'll let you know what it feels like to run with NO big toenail.