A device for applying external pressure on a surface of an anatomical object, such as a blood vessel, includes at least two jaws, a closing force generating device for applying compressive or closing force to the jaws so to driving the jaws against each other. The device also includes an actuating device for applying counterforce against the compressive force, and a control unit. The control unit controls the operation of the actuating device to apply the counterforce so that the external pressure applied by the jaws into the surface of the anatomical object, such as a blood vessel, is applied in a way to manipulate a flow rate of a fluid circulation in the anatomical object as a function of time in a controllable manner.