ABSTRACT
Clinically chronic allograft dysfunction [CAD] is characterized by a progressive decline in glomerular filtration rate [GFR] over time, the pattern of disease progression determined by the five-stage model. In this paper, we used Erlang and hypo-exponential distributions as phase- type distributions to describe hazard of kidney failure at over time in RTR with Cad. In a single-center retrospective study, 214 patients with RTR with Cad were investigated at the Emam hospital of Urmia University of medical sciences from 1997 to 2005. Kidney function at each visit assessed with GFR and categorized based on NKF and KCOQI staging system. The estimated hazard rates of disease progression from stage 1 to 2, 0.0378; from stage 2 to 3, 0.04; from stage 3 to 4, 0.0458; and from stage 4 to 5; 0.0541 were respectively based on each expected month. This estimates yield a mean waiting time of disease progression from stage 1 to kidney failure or dialysis 91.63 month. The 18th, 58th, 118th and 155th months of death-censored graft survival were 0.99, 0.75, 0.25 and 0.10 respectively. The findings of this study are compatible with hyperfiltration theory in chronic kidney disease and give us more detailed information about the dynamic process of disease which would help to manage it effictevliy