Method and therapeutic system in the form of a bandage that administer scopolamine base transdermally in an initial pulse of 10 to 200 .mu.g/cm.sup.2 of skin that quickly brings the concentration of scopolamine in the plasma to a level at which emesis and nausea are inhibited without intolerable side effects, followed by a substantially constant dosage in the range of 0.3 to 15 .mu.g/hr that holds said level. The bandage is a four-layer laminate of, from the top: a protective backing; a gelled, mineral oil-polyisobutene-scopolamine reservoir lamina that is the source of the constant dosage; a microporous membrane that controls the constant dosage rate; and a gelled, mineral oil-polyisobutene-scopolamine adhesive layer that is the source of the pulse dose and the means by which the bandage is attached to the skin.