Methods of selective neuromodulation in a live mammalian subject, such as a human patient. The method comprises applying an electrical signal to a target site in the nervous system, such as the brain, where the electrical signal comprises a series of pulses. The pulses includes a waveform shape that is more energy-efficient as compared to a corresponding rectangular waveform. Non-limiting examples of such energy-efficient waveforms include linear increasing, linear decreasing, exponential increasing, exponential decreasing, and Gaussian waveforms. The parameters for the energy-efficient waveform are chosen to selectively activate neural tissue on the basis of axonal diameter.