Flow dynamics in a stented ureter

Document Type

Article

Publication Date

1-1-2009

Abstract

Vesicorenal reflux is a major side effect associated with ureteric stent placement. In a stented upper urinary tract when the bladder pressure rises, such as during bladder spasms (due to irritation caused by the stent) or voiding of the bladder, it drives urine reflux up the ureter, which, in turn, may be a contributory factor for infections in the renal pelvis. We develop a mathematical model to examine urine flow in a stented ureter, assuming that it remains axisymmetric and treating the wall as a non-linear elastic membrane. The stent is modelled as a rigid, permeable, hollow, circular cylinder lying coaxially inside the ureter. The renal pelvis is treated as an elastic bag, whose volume increases in response to an increased internal pressure. Fluid enters the renal pelvis from the kidney with a prescribed flux. The stent, ureter and renal pelvis are filled with urine, and the bladder pressure is prescribed. We use the model to calculate the total volume of reflux generated during rises in bladder pressure and investigate how it is affected by the stent and ureter properties. © The author 2008. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Identifier

62349113698 (Scopus)

Publication Title

Mathematical Medicine and Biology

External Full Text Location

https://doi.org/10.1093/imammb/dqn020

e-ISSN

14778602

ISSN

14778599

PubMed ID

18990681

First Page

1

Last Page

24

Issue

1

Volume

26

Grant

EP/E032362/1

Fund Ref

Engineering and Physical Sciences Research Council

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