A system, including catheter apparatus, and related method for performing site specific therapy. The catheter apparatus can include one or more semipermeable microcatheters for use in performing site specific microdialysis. The system and method are particularly suited for use in addressing cerebral edema by affecting the osmolar relationship between fluids making up the brain tissue. Also disclosed is an apparatus having a delivery/recovery mechanism in the form of a pump reservoir and one or more catheters in the form of semipermeable microcatheters, for use in delivering and/or recovering fluid to and/or from a tissue site or for performing tissue engineering outside of the body. The apparatus can be used in a method to perform site specific microtherapy, including for the treatment of avascular necrosis, compartment syndrome, cerebral edema, and to improve skin flap survival in the course of reconstructive surgery.