Homogenization based modelling of the perfused liver tissue

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F20%3A43951430" target="_blank" >RIV/49777513:23520/20:43951430 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Homogenization based modelling of the perfused liver tissue
Original language description
The liver parenchyma forms the lobular structure which is constituted by the sinusoidal porosity separating the so-called vertex and central veins. In the paper, we compare two homogenized models relying on different assumptions and upscaling approaches. The first model is derived by the homogenization of the mesoscopic structure with the double-porosity medium represented by the Biot model with large contrasts in the perme- ability. In the sinusoidal porosity, the scaling of the permeability leads to the macroscopic model involving two pressure fields associated with the portal and hepatic vascular com- partments. The poro-viscoelastic coefficients involved in the time convolution integrals are obtained by the homogenization of the quasistatic Biot model. The second perfusion model is an extension of our recent work, to account for defor- mations and the 3 compartment mesoscopic topology. Two-level homogenization of the fluid-structure interaction with a scaling ansatz related to the viscosity is applied. The macroscopic model is defined in terms of the pressure field associated with flow in the liver sinusoids, and the two velocity fields associated with the precapillary vessels of the portal and hepatic vein systems. Interface conditions conditions are discussed.
Czech name
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Czech description
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of the 6th. European Conference on Computational Mechanics
ISBN
978-84-947311-6-7
ISSN
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e-ISSN
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Number of pages
12
Pages from-to
870-881
Publisher name
International Center for Numerical Methods in Engineering (CIMNE)
Place of publication
Barcelona
Event location
Glasgow, UK
Event date
Jun 11, 2018
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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