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Effect of sustained flow perturbations on stability and compensation of tubuloglomerular feedback

¹Department of Mathematics, Duke University, Durham, North Carolina 27708; and ²Department of Physiology and Biophysics, State University of New York, Stony Brook, New York 11794

Submitted 18 October 2002 ; accepted in final form 18 June 2003

A mathematical model previously formulated by us predicts that limit-cycle oscillations (LCO) in nephron flow are mediated by tubuloglomerular feedback (TGF) and that the LCO arise from a bifurcation that depends heavily on the feedback gain magnitude, , and on its relationship to a theoretically determined critical value of gain, _c. In this study, we used that model to show how sustained perturbations in proximal tubule flow, a common experimental maneuver, can initiate or terminate LCO by changing the values of and _c, thus changing the sign of - _c. This result may help explain experiments in which intratubular pressure oscillations were initiated by the sustained introduction or removal of fluid from the proximal tubule (Leyssac PP and Baumbach L. Acta Physiol Scand 117: 415–419, 1983). In addition, our model predicts that, for a range of TGF sensitivities, sustained perturbations that initiate or terminate LCO can yield substantial and abrupt changes in both distal NaCl delivery and NaCl delivery compensation, changes that may play an important role in the response to physiological challenge.

kidney; renal hemodynamics; autoregulation; mathematical model; nonlinear dynamics

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