A mathematical model of venous neointimal hyperplasia formation.

Theoretical Biology & Medical Modelling
Paula Budu-GrajdeanuBrad H Rovin

Abstract

In hemodialysis patients, the most common cause of vascular access failure is neointimal hyperplasia of vascular smooth muscle cells at the venous anastomosis of arteriovenous fistulas and grafts. The release of growth factors due to surgical injury, oxidative stress and turbulent flow has been suggested as a possible mechanism for neointimal hyperplasia. In this work, we construct a mathematical model which analyzes the role that growth factors might play in the stenosis at the venous anastomosis. The model consists of a system of partial differential equations describing the influence of oxidative stress and turbulent flow on growth factors, the interaction among growth factors, smooth muscle cells, and extracellular matrix, and the subsequent effect on the stenosis at the venous anastomosis, which, in turn, affects the level of oxidative stress and degree of turbulent flow. Computer simulations suggest that our model can be used to predict access stenosis as a function of the initial concentration of the growth factors inside the intimal-luminal space. The proposed model describes the formation of venous neointimal hyperplasia, based on pathogenic mechanisms. The results suggest that interventions aimed at specific growth fa...Continue Reading

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Citations

Jun 22, 2011·Biomechanics and Modeling in Mechanobiology·Minki HwangRoger Tran-Son-Tay
May 3, 2011·International Journal of Computer Mathematics·Jianzhong SuLiping Tang
Nov 8, 2013·Journal of the Royal Society, Interface·Myriam CillaMiguel A Martínez
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