Electrode structures for implantation include an electrode, an elastic backing attached to the electrode, and a sequestered drug on the backing or the electrode which is released to control and/or limit the growth of scar tissue. The elastic backing includes a tissue contacting side which contacts a tissue structure, and an exposed side away from the tissue contacting side. The electrode structure can be used to activate baroreceptors, and the backing is elastic and can stretch and retract with the tissue structure, for example the carotid sinus. The electrode and the sequestered drug can be positioned on the tissue contacting side so the drug is released near the electrode. The backing can be made from an insulating material and limit diffusion of the drug toward the exposed side, permitting scar tissue to grow near the exposed side to maintain positioning of the electrode.