Math @ Duke
|
Publications [#287286] of Harold Layton
Papers Published
- Layton, HE; Pitman, EB, Oscillations in a simple model of tubuloglomerular feedback,
Annual International Conference of the Ieee Engineering in Medicine and Biology Proceedings no. pt 3
(December, 1990),
pp. 987-988
(last updated on 2022/08/06)
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.
|
|
dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
| |
Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320
|
|