Bifurcation analysis of nephron pressure and flow regulation

Mikael Barfred, Erik Mosekilde, N.-H. Holstein-Rathlou

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Abstract

One- and two-dimensional continuation techniques are applied to study the bifurcation structure of a model of renal flow and pressure control. Integrating the main physiological mechanisms by which the individual nephron regulates the incoming blood flow, the model describes the interaction between the tubuloglomerular feedback and the response of the afferent arteriole. It is shown how a Hopf bifurcation leads the system to perform self-sustained oscillations if the feedback gain becomes sufficiently strong, and how a further increase of this parameter produces a folded structure of overlapping period-doubling cascades. Similar phenomena arise in response to increasing blood pressure. The numerical analyses are supported by existing experimental results on anesthetized rats. ©1996 American Institute of Physics.
Original languageEnglish
JournalChaos
Volume6
Issue number3
Pages (from-to)280-287
ISSN1054-1500
DOIs
Publication statusPublished - 1996

Bibliographical note

Copyright (1996) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.

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