An ablation apparatus includes a catheter, a conductor arrangement provided along the catheter, and one or more electrodes provided at a distal end of the catheter. A flexible structure maintains the one or more electrode elements in a spaced relationship relative to an inner wall of the renal artery when in a deployed configuration. Each electrode is coupled to the conductor arrangement and configured to deliver energy sufficient to ablate perivascular renal nerve tissue. The flexible structure may comprise a basket structure and at least one electrode is situated within the basket structure. The flexible structure may comprise a tube structure having spaced-apart electrically non-conductive segments, and at least one electrode is situated between adjacent electrically non-conductive segments.
