Systems and methods are provided for improved techniques associated with administering peritoneal dialysis. Embodiments of the invention relate to the continuous introduction and circulation of dialysate fluid in and through the peritoneal cavity. This constant influx of fresh fluid results in a perpetually high diffusion gradient between the toxin solute concentration of the blood and the dialysate fluid traversing the abdominal cavity, which promotes a much more efficient and rapid transfer of toxic solutes from the blood stream into the abdominal fluid. The fluid is continuously removed from the abdominal cavity and passed through an external filter using a pulsatile pump. The external filter cleanses the toxic solutes from the fluid before returning the fluid to the abdominal cavity. Embodiments of the invention also relate to improvements in catheters used to access the peritoneal cavity.