Homogenization based modelling of the perfused liver tissue

Kód výsledku v IS VaVaI

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Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Homogenization based modelling of the perfused liver tissue

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Homogenization based modelling of the perfused liver tissue

Popis výsledku anglicky

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.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

20302 - Applied mechanics

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2020

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

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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Počet stran výsledku

12

Strana od-do

870-881

Název nakladatele

International Center for Numerical Methods in Engineering (CIMNE)

Místo vydání

Barcelona

Místo konání akce

Glasgow, UK

Datum konání akce

11. 6. 2018

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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