A catheter-based/intravascular fluid injection system with application to renal denervation includes a multiplicity of needles which expand open around a central axis to engage the wall of a blood vessel, or the wall of the left atrium, allowing the injection of a cytotoxic and/or neurotoxic solution for ablating conducting tissue, or nerve fibers around the ostium of the pulmonary vein, or circumferentially in or just beyond the outer layer of the renal artery. The expandable delivery system includes expandable components that facilitate positioning of a multiplicity of injection needles against the inside wall of a blood vessel from where they can be advanced. The system also includes means to limit and/or adjust the depth of penetration of the ablative fluid into the tissue of the wall of the targeted blood vessel.