Bifurcation analysis of nephron pressure and flow regulation.

  title={Bifurcation analysis of nephron pressure and flow regulation.},
  author={Mikael Barfred and Erik Mosekilde and Niels-Henrik Holstein-Rathlou},
  volume={6 3},
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… CONTINUE READING


Publications citing this paper.
Showing 1-10 of 23 extracted citations


Publications referenced by this paper.
Showing 1-10 of 20 references

Bifurcation analysis of nephron pressure and flow regulation

  • N-H. Holstein-Rathlou
  • Chaos
  • 1996

Holstein - Rathlou , ‘ ‘ An analysis of the interaction between tubuloglomerular feedback and the myogenic response in renal blood flow autoregulation

  • M. Colding-Jo R. Feldberg, N.-H.
  • J . Physiol .
  • 1994

Some flesh on the skeleton : The bifurcation structure of bimodal maps

  • C. Tresser
  • 1994

From bimodal one - dimensional maps to He ́ nonlike two - dimensional maps : Does quantitative universality survive ?

  • S. P. Kuznetsov, I. R. Sataev
  • Phys . Lett . A
  • 1991

Tubuloglomeru - lar feedback dynamics and renal blood flow autoregulation in rats

  • A. J. Wagner N.-H. Holstein-Rathlou, D. J. Marsh
  • J . Physiol .
  • 1990

A dynamic model of the tubuloglomerular feedback mechanism

  • D. J. Marsh
  • J . Physiol .
  • 1989

Similar Papers

Loading similar papers…