Non-Newtonian bile flow in elastic cystic duct: one- and three-dimensional modeling

Li, W.G., Luo, X.Y. , Chin, S.B., Hill, N.A. , Johnson, A.G. and Bird, N.C. (2008) Non-Newtonian bile flow in elastic cystic duct: one- and three-dimensional modeling. Annals of Biomedical Engineering, 36(11), pp. 1893-1908. (doi:10.1007/s10439-008-9563-3)

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Publisher's URL: http://www.maths.gla.ac.uk/~xl/Li-NN-2008.pdf

Abstract

Bile flow is thought to play an essential role in the pathophysiological genesis of cholelithiasis (gallstone formation) and in gallbladder pain. In this paper, we extend our previous study of the human biliary system (Li et al., 2007, J. Biomech. Eng., 129:164–173) to include two important factors: the non-Newtonian properties of bile, and elastic deformation of the cystic duct. A one-dimensional (1D) model is analyzed and compared with three-dimensional (3D) fluid–structure interaction simulations. It is found that non-Newtonian bile raises resistance to the flow of bile, which can be augmented significantly by the elastic deformation (collapse) of the cystic duct. We also show that the 1D model predicts the pressure drop of the cystic duct flow well for all cases considered (Newtonian or non-Newtonian flow, rigid or elastic ducts), when compared with the full 3D simulations.

Item Type:Articles
Keywords:Gallbladder, Gallstone, Cystic duct, Biliary system, Non-Newtonian fluid, Pressure drop, Fluid–structure interaction - 1D modeling - Finite element methods
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Luo, Professor Xiaoyu and Hill, Professor Nicholas and Li, Dr Wenguang
Authors: Li, W.G., Luo, X.Y., Chin, S.B., Hill, N.A., Johnson, A.G., and Bird, N.C.
Subjects:R Medicine > RC Internal medicine
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Annals of Biomedical Engineering
Journal Abbr.:An. Biomed. Eng.
ISSN:0090-6964
ISSN (Online):1521-6047
Published Online:13 September 2008

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