Mathematical modelling of peritoneal dialysis and ultrafiltration for wearable artificial kidney with dialysate regeneration unit

This paper is dedicated to modelling of processes which take place in biotechnical system “Wearable artificial kidney” during peritoneal dialysis. Mathematical model describes dynamics of metabolite mass transfer through peritoneal membrane with further dialysate regeneration in extracorporeal regeneration unit. Model allows to predict dialysate volume dynamics in patient’s peritoneal cavity and describes dynamics of osmotic agent concentration. The main theoretical results were compared with empirical laboratory and medical data. Presented mathematical model can be potentially used in wearable artificial kidney developing and design.