A method of dialyzing renal failure patients via the peritoneum (P.O.) using a series of innovations in the dialysate composition aiming at preventing the intra vascular or intra peritoneal formation and deposition of calcium/phosphate compounds which having no excretory pathway are deposited in soft tissue and are the cause of cardiovascular related morbidity and mortality. Additionally this method allows for the use of the physiologic buffer (bicarbonate) which will improve the acid base balance and prolong the functional life of the peritoneum as the dialysis membrane.