Papers Published
Abstract:
The tubuloglomerular feedback (TGF) system regulates the fluid and solute load in each nephron of the mammalian kidney. The authors obtain a necessary condition for sustained oscillations in a simple mathematical model for the TGF loop. This model consists of a hyperbolic partial differential equation representing the chloride concentration in the thick ascending limb and an empirical function describing the feedback response of the juxtaglomerular apparatus. A bifurcation analysis shows that critical parameters are the time delay, the slope of the empirical feedback relation at the steady state, and the steady-state space derivative of the chloride concentration at the macula densa.