A method is disclosed for cooling a limited portion of a body organ by placing a cooling device into a blood vessel within a target organ; and activating the cooling device to cool tissue proximate the cooling device to a temperature below +34 degrees Centigrade. The blood vessel can be a vein or an artery and the cooling device can be a fixed diameter catheter or it can include a balloon. More particularly, the method of cooling can provide a method for treating injured ischemic and infarcted tissue by placing a device capable of passage through the vasculature into a target organ, wherein the device is capable of providing sufficient thermal exchange at a working region thereof to cool adjacent tissue; and activating the device to cool adjacent tissue to a temperature in the range of 0 degrees Centigrade to +36 degrees Centigrade. The method can further include placement of a second device capable of passage through the vasculature into the target organ, wherein the second device is capable of at least partially removing a blockage from a blood vessel.