Mathematical model for pressure losses in the hemodialysis graft vascular circuit

Steven A. Jones, Song Jin, Ameya Kantak, David A. Bell, William D. Paulson

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

Stenosis-induced thrombosis and abandonment of the hemodialysis synthetic graft is an important cause of morbidity and mortality. The graft vascular circuit is a unique low-resistance shunt that has not yet been systematically evaluated. In this study, we developed a mathematical model of this circuit. Pressure losses (ΔPs) were measured in an in vitro experimental apparatus and compared with losses predicted by equations from the engineering literature. We considered the inflow artery, arterial and venous anastomoses, graft, stenosis, and outflow vein. We found significant differences between equations and experimental results, and attributed these differences to the transitional nature of the flow. Adjustment of the equations led to good agreement with experimental data. The resulting mathematical model predicts relations between stenosis, blood flow, intragraft pressure, and important clinical variables such as mean arterial blood pressure and hematocrit. Application of the model should improve understanding of the hemodynamics of the stenotic graft vascular circuit.

Original languageEnglish (US)
Pages (from-to)60-66
Number of pages7
JournalJournal of Biomechanical Engineering
Volume127
Issue number1
DOIs
StatePublished - Feb 1 2005

Fingerprint

Grafts
Blood Vessels
Renal Dialysis
Theoretical Models
Mathematical models
Transplants
Pressure
Pathologic Constriction
Networks (circuits)
Arterial Pressure
Blood pressure
Hemodynamics
Difference equations
Hematocrit
Veins
Thrombosis
Blood
Arteries
Morbidity
Mortality

ASJC Scopus subject areas

  • Biomedical Engineering
  • Physiology (medical)

Cite this

Mathematical model for pressure losses in the hemodialysis graft vascular circuit. / Jones, Steven A.; Jin, Song; Kantak, Ameya; Bell, David A.; Paulson, William D.

In: Journal of Biomechanical Engineering, Vol. 127, No. 1, 01.02.2005, p. 60-66.

Research output: Contribution to journalArticle

Jones, Steven A. ; Jin, Song ; Kantak, Ameya ; Bell, David A. ; Paulson, William D. / Mathematical model for pressure losses in the hemodialysis graft vascular circuit. In: Journal of Biomechanical Engineering. 2005 ; Vol. 127, No. 1. pp. 60-66.
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