An optimization methodology is employed to match vibratory inhaler devices having certain characteristics to the particular anatomical and acoustic properties of a patient's vocal tract, in order to achieve the most effective dispersion of a dry powder medicament using inspiratory effort of a user of the inhaler. In embodiments, optimization involves employing one or more measurements of acoustic frequency spectrum properties as well as one or more anatomical/geometric measurements of the structures comprising the particular patient's mouth, pharynx, and upper respiratory tract and matching a vibratory inhalation device that corresponds thereto.