A system for compensating a neurally triggered or other self-caused displacement of a tissue of an animal including man comprises a base provided with a means for immobilizing the animal or body part thereof comprising the tissue, one or more displacement means in contact with the base, a means for sampling position data from a marker disposed in or in the proximity of the tissue, a means for sampling source activity data from one or more sources of displacement, microprocessor means for correlating position data and source activity data to generate a predictive correspondence, a means for controlling the one or more displacement means by source activity data based on the predictive correspondence. Also disclosed is a corresponding method and use.