##submission.abstract##
The forces acting on the surgical instrument moving in the neural tissue are discussed and their numerical estimates are given. The analysis of motion equation of a surgical instrument is provided with the purpose of increasing the efficiency of control systems for the surgical instrument in apparatus employing the principle of contactless magnetic stereotaxis. This allows direct visual X-ray control in the trajectory supporting points that results in the decrease of ionizing radiation dose by several times. Formation of control actions based on simulation modeling data allows increasing accuracy and efficiency of the systems for surgical instrument magnetic control.