A catheter includes an elongated tube having a distal portion having a distal end and a sidewall defining at least one drainage lumen. The sidewall includes a drainage portion which allows fluid to pass through the sidewall and into the drainage lumen. The catheter also includes a permeable tissue support. The tissue support is configured to be deployed in the urinary tract to maintain the distal end of the elongated tube at a predetermined position in a bladder, a ureter, a renal pelvis, or a kidney of the patient. When deployed, the permeable tissue support defines a three-dimensional shape of sufficient size to permit flow of at least a portion of fluid from the urinary tract through the tissue support and drainage portion of the elongated tube to the at least one drainage lumen.
