Apparatus for tissue lumen (such as urethra) remodeling includes an elongated shaft and at least one expandable structure on a distal end of the shaft. At least one desiccator or energy emitter is carried by the structure and operable to define a support structure in lumen tissue that resists lumen closure. Apparatus is also disclosed for identifying tissue or developing a profile of tissue along the lumen based at least in part on an electrical characteristic of the tissue. Methods of remodeling and profiling are also disclosed.