Bifurcation study of blood flow control in the kidney.


Journal Article

Renal blood flow is maintained within a narrow window by a set of intrinsic autoregulatory mechanisms. Here, a mathematical model of renal hemodynamics control in the rat kidney is used to understand the interactions between two major renal autoregulatory mechanisms: the myogenic response and tubuloglomerular feedback. A bifurcation analysis of the model equations is performed to assess the effects of the delay and sensitivity of the feedback system and the time constants governing the response of vessel diameter and smooth muscle tone. The results of the bifurcation analysis are verified using numerical simulations of the full nonlinear model. Both the analytical and numerical results predict the generation of limit cycle oscillations under certain physiologically relevant conditions, as observed in vivo.

Full Text

Duke Authors

Cited Authors

  • Ford Versypt, AN; Makrides, E; Arciero, JC; Ellwein, L; Layton, AT

Published Date

  • May 2015

Published In

Volume / Issue

  • 263 /

Start / End Page

  • 169 - 179

PubMed ID

  • 25747903

Pubmed Central ID

  • 25747903

Electronic International Standard Serial Number (EISSN)

  • 1879-3134

International Standard Serial Number (ISSN)

  • 0025-5564

Digital Object Identifier (DOI)

  • 10.1016/j.mbs.2015.02.015


  • eng