Math @ Duke

Publications [#287301] of Harold Layton
Papers Published
 Layton, HE; Pitman, EB; Moore, LC, Spectral properties of the thick ascending limb,
The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 10 no. 3
(1996),
pp. A547, ISSN 08926638
(last updated on 2018/07/18)
Abstract: We used explicit calculations and numerical analysis to investigate spectral properties of NaCl transport in a mathematical model of the thick ascending limb (TAL) and tubuloglomerular feedback (TGF) mechanism. Explicit calculations predict that when the period of an oscillation in TAL luminal fluid flow evenly divides the steadystate fluid transit time of TAL, then the NaCl concentration in flow past the macula densa (MD ) maintains a value nearly equal to the steadystate concentration, i.e., there is a node at the MD. Oscillations with periods about halfway between nodal periods produce oscillations in NaCl concentration with locally maximal amplitude at the MD, i.e., they produce antinodes. These spectral properties were further evaluated by perturbing TAL model flow with broadband forcing and computing power spectra from numerical solutions of the closedloop TGF signal. In cases where feedback gain is less than that required for emergence of a sustained oscillation, the spectra are dominated by the spectral structure of the TAL. Published measurements of power spectra of glomerular blood flow have characteristics consistent with the predicted spectral properties of the TAL.


dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
 
Mathematics Department
Duke University, Box 90320
Durham, NC 277080320

