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 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.
Mathematical Model for Pressure Losses in the Hemodialysis Graft Vascular Circuit
Contributed by the Bioengineering Division for publication in the JOURNAL OF BIOMECHANICAL ENGINEERING. Manuscript received by the Bioengineering Division February 6, 2004; revision received September 2, 2004. Associate Editor: C. Ross Ethier.
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Jones, S. A., Jin, S., Kantak, A., Bell, D. A., and Paulson, W. D. (March 8, 2005). "Mathematical Model for Pressure Losses in the Hemodialysis Graft Vascular Circuit ." ASME. J Biomech Eng. February 2005; 127(1): 60–66. https://doi.org/10.1115/1.1835353
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