(Portland, OR) -- Police are searching for a suspect accused of stabbing a man outside his home in Portland's Old Town neighborhood. The Portland Police Bureau says the victim had just stepped outside to smoke a cigarette yesterday morning when a stranger walked up and tried to stab him. Police say the victim initially tried to fight the man off but was later stabbed in the back as he tried to run away. He was rushed to a hospital with serious but not life-threatening injuries. Anyone with information on the suspect is urged to contact police.