Optimal pulse shapes for magnetic stimulation of fibers: An analytical approach using the excitation functional

An analytical approach to threshold problems in functional magnetic stimulation of nerve and skeletal muscle fibers was recently proposed, framed in the concept of excitation functional. Three generations of available equipments for magnetic stimulation are briefly considered, stressing the corresponding pulse shape in the stimulation coils. Using the criterion of minimum energy dissipated in biological tissues, an optimal shape for a current pulse in the coil that produces a just threshold depolarization in a nerve or skeletal muscle fiber is found. The method can be further developed and applied to other threshold problems in functional electric stimulation.