An implantable medical device that employs one or more fibers formed from a polymer composition that contains at least one liquid crystalline polymer is provided. In addition to being highly inert and biocompatible, the rigid rod-like structure of liquid crystalline polymers can allow them to be particularly well suited for implantable devices. Apart from the benefits from the polymer itself, the fibers are formed in such a manner so that they are generally flexible, but yet still possess a sufficient degree of strength so that they can be effectively employed in implantable medical devices.