Math @ Duke

Publications [#287286] of Harold Layton
Papers Published
 Layton, HE; Pitman, EB, Oscillations in a simple model of tubuloglomerular feedback,
Proceedings of the Annual Conference on Engineering in Medicine and Biology no. pt 3
(1990),
pp. 987988
(last updated on 2018/05/23)
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 steadystate space derivative of the chloride concentration at the macula densa.


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