A system for treating a patient with general hypertension by increasing a blood flow in the renal artery. The system comprises a hypertension treatment device adapted to have at least one surface of the device placed on the outside of the renal artery to increase the blood flow in the patients renal region. The surface comprises a heating surface able to heat said renal artery to dilate said renal artery and thereby increase the blood flow distal to said dilated renal artery, causing the kidney to reduce the general blood pressure and thereby treat general hypertension. The system also comprises a control device adapted to receive input from a blood pressure sensor, and control the hypertension treatment device by: increasing the temperature for increasing the dilation of said renal artery and thereby control the lowering of the patients general blood pressure, or decreasing the temperature for reducing the dilation to thereby control the increasing of the patients general blood pressure. The system hereby comprises at least one of: an implantable element for cooling a second surface or a cooling system adapted to transport away heat.