Abstract/Details

Modelling tubuloglomerular feedback in coupled nephrons


2004 2004

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Abstract (summary)

Tubuloglomerular feedback (TGF) is a delayed negative feedback mechanism that stabilizes the glomerular filtration rate (renal blood flow) and salt concentration in a single nephron, the basic filtering unit of the kidney. Fluid flow through the nephron exhibits three distinct patterns. It may flow at a constant rate, or it may oscillate in one of two ways: regularly or chaotically. Earlier models indicate that the TGF mechanism plays a role in the mediation of both a constant flow rate and limit cycle oscillations. However, these models do not incorporate the influence of backleak (diffusion) in coupled nephrons (those that are linked anatomically by their vasculature). This dissertation examines the effects of backleak on coupled nephrons. The main result is that backleak stabilizes the system: coupled nephrons with backleak exhibit steady flow rates at higher feedback gains than do those without backleak. This same stabilizing effect was observed in a model of a single nephron with backleak.

The model describing the TGF mechanism in two coupled nephrons is also extended in a model of three coupled nephrons. The results suggest that the addition of a nephron to the system may have a destabilizing effect: limit cycle oscillations are exacerbated when a third nephron is added to the system.

Numerical methods are developed and implemented to study the predictions given by the bifurcation analysis.

Indexing (details)


Subject
Mathematics;
Anatomy & physiology;
Animals;
Pathology
Classification
0405: Mathematics
0433: Anatomy & physiology
0433: Animals
0571: Pathology
Identifier / keyword
Health and environmental sciences, Pure sciences, Biological sciences, Glomerular filtration, Kidneys, Nephrons, Tubuloglomerular feedback
Title
Modelling tubuloglomerular feedback in coupled nephrons
Author
Hattaway, Amanda L.
Number of pages
87
Publication year
2004
Degree date
2004
School code
0118
Source
DAI-B 65/11, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
ISBN
9780496132386, 0496132385
Advisor
Whitaker, Nathaniel
University/institution
University of Massachusetts Amherst
University location
United States -- Massachusetts
Degree
Ph.D.
Source type
Dissertations & Theses
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
3152705
ProQuest document ID
305176558
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
http://search.proquest.com/docview/305176558
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