A method is provided for delivering at least one therapeutic agent to an ocular tissue of a subject. The method includes providing an apparatus including at least one electrode, a medicament layer including at least one therapeutic agent, an electrical signal source, and logic configured to control the electrical signal source. The at least one electrode has oppositely disposed first and second dome-shaped major surfaces. The medicament layer is disposed on at least a portion of the second major surface. The electrical signal source is electrically connected to the at least one electrode. At least one portion of the first major surface is placed into contact with the ocular tissue so that the at least one portion substantially conforms to the contour of the ocular tissue. The electrical signal source provides a signal having certain characteristics to motivate the at least one therapeutic agent into the ocular tissue.
