A system to deliver nested stimulation to nerve tissue of interest, the system comprising: a lead having an array of stimulation electrodes (121a-d), the lead configured to be implanted at a target position proximate to nerve tissue of interest; and an implantable medical device coupled to the lead, the IMD including a processor and memory storing programmable instructions, the processor executing the programmable instructions to: set first parameters that define a carrier waveform; set second parameters that define a high frequency waveform, wherein the carrier waveform and the high frequency waveform are defined to correspond to physiologic neural oscillations, wherein the carrier waveform has a frequency in an infraslow (less than 1Hz), delta (1 to 4 Hz), theta (4 to 7 Hz), alpha (8 to 12 Hz) or beta (13 to 30 Hz) frequency band, and the high frequency waveform has a frequency in a beta (13 to 30 Hz), gamma (greater than 30 Hz), sigma (greater than 500 Hz), or ultrafast (100 to 1200 Hz) frequency band; operate a pulse generator to generate a nested stimulation waveform that combines the carrier waveform and high frequency waveform, by superimposing the high frequency waveform into the carrier waveform, the nested stimulation waveform having a plurality of pulse bursts; and deliver the nested stimulation waveform through one or more electrodes to the nerve tissue of interest. a lead having an array of stimulation electrodes (121a-d), the lead configured to be implanted at a target position proximate to nerve tissue of interest; and an implantable medical device coupled to the lead, the IMD including a processor and memory storing programmable instructions, the processor executing the programmable instructions to: set first parameters that define a carrier waveform; set second parameters that define a high frequency waveform, wherein the carrier waveform and the high frequency waveform are defined to correspond to physiologic neural oscillations, wherein the carrier waveform has a frequency in an infraslow (less than 1Hz), delta (1 to 4 Hz), theta (4 to 7 Hz), alpha (8 to 12 Hz) or beta (13 to 30 Hz) frequency band, and the high frequency waveform has a frequency in a beta (13 to 30 Hz), gamma (greater than 30 Hz), sigma (greater than 500 Hz), or ultrafast (100 to 1200 Hz) frequency band; operate a pulse generator to generate a nested stimulation waveform that combines the carrier waveform and high frequency waveform, by superimposing the high frequency waveform into the carrier waveform, the nested stimulation waveform having a plurality of pulse bursts; and deliver the nested stimulation waveform through one or more electrodes to the nerve tissue of interest. set first parameters that define a carrier waveform; set second parameters that define a high frequency waveform, wherein the carrier waveform and the high frequency waveform are defined to correspond to physiologic neural oscillations, wherein the carrier waveform has a frequency in an infraslow (less than 1Hz), delta (1 to 4 Hz), theta (4 to 7 Hz), alpha (8 to 12 Hz) or beta (13 to 30 Hz) frequency band, and the high frequency waveform has a frequency in a beta (13 to 30 Hz), gamma (greater than 30 Hz), sigma (greater than 500 Hz), or ultrafast (100 to 1200 Hz) frequency band; operate a pulse generator to generate a nested stimulation waveform that combines the carrier waveform and high frequency waveform, by superimposing the high frequency waveform into the carrier waveform, the nested stimulation waveform having a plurality of pulse bursts; and deliver the nested stimulation waveform through one or more electrodes to the nerve tissue of interest.