@inproceedings{9eac1788b7c24e12847064ee2fd02699,
title = "Oscillations in a simple model of tubuloglomerular feedback",
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.",
author = "Layton, \{H. E.\} and Pitman, \{E. Bruce\}",
year = "1990",
language = "English",
isbn = "0879425598",
series = "Proceedings of the Annual Conference on Engineering in Medicine and Biology",
publisher = "Publ by IEEE",
number = "pt 3",
pages = "987--988",
booktitle = "Biomedical Engineering Perspectives",
edition = "pt 3",
note = "Proceedings of the 12th Annual International Conference of the IEEE Engineering in Medicine and Biology Society ; Conference date: 01-11-1990 Through 04-11-1990",
}