Non-Newtonian Bile Flow in Elastic Cystic Duct: One- and Three-Dimensional Modeling

Li, W.G.; Luo, Xiaoyu; Chin, S. B.; Hill, Nicholas M.; Ag, Johnson; Bird, Nigel C.

doi:10.1007/s10439-008-9563-3

Cited by 31 publications

(18 citation statements)

References 40 publications

(53 reference statements)

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“…Although a literature search reveals that there are few convincing rheological data on human bile, preliminary measurements of fresh bile and preliminary modelling [15] suggest that for a healthy person without gallstones, the gallbladder and hepatic bile is a Newtonian fluid with a constant viscosity of about 1-10 mPa s and a density of nearly 1000 kg m −3 . These values for density and viscosity will be used in this study.…”

Section: Flow Assumptionsmentioning

confidence: 98%

“…Al-Atabi et al [9][10][11][12][13] experimentally investigated the flow of bile in idealised threedimensional and realistic two-dimensional cystic duct geometries. The effects of the compliance of the cystic ducts and nonNewtonian properties of the bile on biliary resistance are studied by Li et al [14,15] using both one-dimensional and idealised threedimensional mathematical models. Recently, these models are further extended to identify the correlation of mechanical stress of gallbladder wall to CCK induced pain [16], as well as the smooth muscle contractions [17].…”

Section: Introductionmentioning

confidence: 99%

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Computational analysis of the flow of bile in human cystic duct

Al-Atabi

Ooi

Luo

et al. 2012

Medical Engineering & Physics

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Section: Flow Assumptionsmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Computational analysis of the flow of bile in human cystic duct

Al-Atabi

Ooi

Luo

et al. 2012

Medical Engineering & Physics

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“…Each of compartment is modelled using different models depending on mechanical performance of this compartment based on physiological data. Computational models of bile flow dynamics were proposed by Luo et al [1], [2], [3], Agrawal et al [4], [5], Kuchumov et al [6], [7], Al-Atabi et al [8], Ro-Chin Lo et al [9]. Peristaltic bile flow models were proposed by Maiti and Misra [10] and Kuchumov et al [11], [12].…”

Section: Introductionmentioning

confidence: 99%

Biomechanical modelling of bile flow in the biliary system

Kuchumov

2018

MATEC Web Conf.

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Abstract. The biliary system consists of the biliary tree, gallbladder and major duodenal papilla. Soft tissues compliance plays important role in the bio-fluids transport. Particularly, bile flow disturbances due to bile duct wall motor function changes in the extra-hepatic ducts, from medicine point of view are called dyscinesia of biliary tract. Fluid motion in the elastic and compliant ducts can be described by different models (for example, Windkessel model, peristaltic fluid motion, FSI algorithm). Our approach is decomposition of the biliary system into three compartments (extra-hepatic biliary tree, gallbladder, major duodenal papilla). Bile flow in the extra-hepatic ducts is simulated using FSI algorithm. Bile flow in the gallbladder can be described as flow in the reservoir with compliant ducts using Windkessel model. Bile flow in the major duodenal papilla is considered as peristaltic fluid motion, because the wall contraction is really important factor of fluid motion in that segment. The coupling of these compartments is performed by boundary conditions. The biliary system geometry was obtained using MRI patient-specific data. It was confirmed that normal bile can be modeled as Newtonian fluid and lithogenic bile can be modeled as non-Newtonian fluid (Carreau fluid). Bile ducts were modeled as hyperelastic material.

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“…Although a literature search reveals that there are few convincing rheological data on human bile, preliminary measurements of fresh bile (20) suggest that for a healthy person without gallstones, the gallbladder and hepatic bile is a Newtonian fluid with a constant viscosity of about 1 mPa s and a density of nearly 1000 kg m -3 . Since these values are close to those for water, filtered water was used as the test fluid in this study.…”

Section: Working Fluidmentioning

confidence: 99%

Investigation of the Flow in a Compliant Idealised Human Cystic Duct

Al-Atabi

Chin

Luo

et al. 2008

JBSE

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The cystic duct is a very complicated conduit that connects the gallbladder to the common bile duct. The geometry of the cystic duct and its functions, in particular the valves of Heister, in the flow of bile into and out of the gallbladder have always been a subject of speculation. It has been suggested variously that their function is to: impede the flow of bile into the gallbladder, prevent the outflow of bile from the gallbladder, or prevent the collapse of cystic duct. Presented in this paper are the results of a novel experiment to assess the role of the valves of Heister during both the filling and the emptying phases of the gallbladder. The results suggest that the existence of these valves helps both the filling and the emptying of the gallbladder by providing structural support and preventing the duct from total collapse. A surge of pressure upstream of the cystic duct is observed prior to the opening of the cystic duct which is consistent with previous in-vivo biological observations.

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Non-Newtonian Bile Flow in Elastic Cystic Duct: One- and Three-Dimensional Modeling

Cited by 31 publications

References 40 publications

Computational analysis of the flow of bile in human cystic duct

Computational analysis of the flow of bile in human cystic duct

Biomechanical modelling of bile flow in the biliary system

Investigation of the Flow in a Compliant Idealised Human Cystic Duct

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