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Publications [#287286] of Harold Layton

Papers Published

  1. 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. 987-988
    (last updated on 2018/02/19)

    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.
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