Methods, systems, and devices for providing a denervating energy treatment to the tissue of the pulmonary vein and antrum region of the left atrium utilizing a catheter-based structure having one or more energy delivery surfaces. In some instances energy delivery surfaces are arranged with a circumferential and axial offset relative to one another. A pattern of individual lesions loosely approximating a helix, or other staggered pattern, or roughly circumferential are placed so as to provide a pattern which covers substantially the circumference of the treated area while avoiding stenosis. Denervating energy is applied by modulation of the energy delivery surfaces using an energy source integrated with a controller and control algorithm. In some instances feedback is used in a control algorithm for energy modulation. Energy sources are radiofrequency, ultrasound, and cryogenic.
