A device for applying external pressure on a surface of an anatomical object, such as a blood vessel, comprises at least two jaws, a closing force generating device for applying compressive or closing force to the jaws so to driving said jaws against each other. The device also comprises an actuating device for applying counterforce against said compressive force, and a control unit. The control unit controls the operation of the actuating device to apply said counterforce so that said external pressure applied by said jaws into the surface of said 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.