Cryocatheter including an elongated flexible catheter member having a short rigid catheter tip for introduction into a therapy site and a heat exchange arrangement for freezing the catheter tip to a cryo-temperature from between about −15° C. to about −30° C. for freezing human tissue at the therapy site. Cerebral medical procedures include inter alia employing a local ice ball for sealing a bleeding rupture in an arterial wall in the case of a stroke hemorrhage, employing a local ice ball for mapping electrical disorder foci in a brain, for example, epileptic foci, and the like.
