Methods and systems are disclosed for treating diseased tissue by gentle heating. The method induces vasodilation on tissue disposed about an lumen having both healthy tissue and diseased tissue. The method includes coupling a probe surface to the luminal tissue at a target location and transmitting desired quantities of tissue remodeling energy from the coupled probe into each of a plurality of discrete remodeling zones in the luminal tissue so that the tissue remodeling energy heats the plurality of remodeling zones, the remodeling energy being configured to avoid muscular contraction and inhibit both acute and long-term occlusion of the lumen.