A shunt model of the inner medullary nephron with pre-bend transitions

M. T. Gonzalez, A. F. Hegarty, S. R. Thomas

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Mathematical models of the renal medulla face the problem of representing water and solute transfer among tens of thousands of nephrons and blood vessels of various lengths, arranged in countercurrent fashion. Published models fall into two broad categories with respect to this issue: multi-nephron models, which explicitly represent a large number of individual nephrons, or lumped models with virtual shunts that represent the turning back of nephrons and vessels at varying depths. Shunt models have the advantage of a compact description and relatively rapid execution time but are ill-suited to faithfully represent features such as prebend transitions of epithelial permeabilities in nephrons of different lengths. A new shunt model approach that can accommodate pre-bend transitions of nephrons at all medullary depths is presented in this work together with the results of simulation of predicted flows and concentrations.

Original languageEnglish
Title of host publicationNumerical Analysis and Applied Mathematics - International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009
Pages1469-1471
Number of pages3
DOIs
Publication statusPublished - 2009
EventInternational Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009 - Rethymno, Crete, Greece
Duration: 18 Sep 200922 Sep 2009

Publication series

NameAIP Conference Proceedings
Volume1168
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009
Country/TerritoryGreece
CityRethymno, Crete
Period18/09/0922/09/09

Keywords

  • Kidney
  • Nephron
  • Pre-bend transition
  • Shunt model

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