1. A system for use with a neuromodulation device, the neuromodulation device including a neuromodulation generator, a neuromodulation control circuit and a storage, the storage including a neuromodulation parameter set, the system comprising: an interface configured to receive at least one selection; and a stochastic modulator configured to use at least one modulation model to stochastically modulate at least one neuromodulation parameter, the stochastic modulator configured to provide the at least one stochastically-modulated parameter based at least in part on the received selection, wherein the stochastic modulator is configured to communicate the at least one stochastically-modulated parameter to the neuromodulation device, and the neuromodulation device is configured to use electrodes in an electrode arrangement to generate a neuromodulation field, and the controller of the neuromodulation device is configured to control the neuromodulation generator using the neuromodulation parameter set with the stochastically-modulated parameter to generate the neuromodulation field.