One of many risks facing HIV+ individuals is the development of kidney dysfunction and end stage kidney disease (ESKD). A differential equation-based mathematical model was developed to assess the impact of antiretroviral therapy on the progression to kidney disease and on reducing mortality due to kidney failure. Analytical and numerical predictions of long-term HIV+ ESKD prevalence show that therapy can lead to either extremely low levels of disease prevalence or increased prevalence, depending on drug efficacy levels and mechanisms of action. Maintenance of HIV+ ESKD prevalence below one individual is possible with sufficient efficacy (e.g., 99%) against the progression from AIDS to HIV+ ESKD and against entry to the AIDS population, when the reduction in mortality in the AIDS and HIV+ ESKD populations is modest (e.g., 10%). However, the concomitant decrease in mortality in the AIDS and HIV+ ESKD populations due to therapy is predicted to sustain greater disease prevalence.
Gudaz, Heather; Ogu, Henry A.; and Schwartz, Elissa J.
"Long-Term Dynamics of the Kidney Disease Epidemic Among HIV-Infected Individuals,"
Spora: A Journal of Biomathematics: Vol. 6, 52–60.
Available at: https://ir.library.illinoisstate.edu/spora/vol6/iss1/6