Math @ Duke

Publications [#243666] of Anita T. Layton
Papers Published
 Layton, AT; Pham, P; Ryu, H, Signal transduction in a compliant short loop of Henle.,
International Journal for Numerical Methods in Biomedical Engineering, vol. 28 no. 3
(2012),
pp. 369383 [22577511], [doi]
(last updated on 2018/02/20)
Abstract: To study the transformation of fluctuations in filtration rate into tubular fluid chloride concentration oscillations alongside the macula densa, we have developed a mathematical model for tubuloglomerular feedback (TGF) signal transduction along the pars recta, the descending limb, and the thick ascending limb (TAL) of a shortlooped nephron. The model tubules are assumed to have compliant walls and, thus, a tubular radius that depends on the transmural pressure difference. Previously, it has been predicted that TGF transduction by the TAL is a generator of nonlinearities: if a sinusoidal oscillation is added to a constant TAL flow rate, then the time required for a fluid element to traverse the TAL is oscillatory in time but nonsinusoidal. The results from the new model simulations presented here predict that TGF transduction by the loop of Henle is also, in the same sense, a generator of nonlinearities. Thus, this model predicts that oscillations in tubular fluid alongside the macula densa will be nonsinusoidal and will exhibit harmonics of sinusoidal perturbations of pars recta flow. Model results also indicate that the loop acts as a lowpass filter in the transduction of the TGF signal.


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