The present invention is directed to medical catheters that may be modularlyconstructed to facilitate manufacture and provide properties that may be difficultto achieve with a catheter formed from a single extrusion or multiple materialsthat are fused together. The catheter may be constructed of one or more core elementsthat may be partially or fully surrounded by a jacket member in a variety of configurations.The core elements may comprise different properties with respect to the jacketmember or one another, thereby permitting increased manufacturing flexibility.The modular catheter designs of the present invention further provide for a varietyof lumen configurations, as well as providing for catheters that can change theirshape by moving the core elements with respect to the jacket member or one another.