Computational homogenization of tissue parenchyma using layer-wise decomposition
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F12%3A43916259" target="_blank" >RIV/49777513:23520/12:43916259 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Computational homogenization of tissue parenchyma using layer-wise decomposition
Original language description
The mathematical model of perfusion through different hierarchies of tissue parenchyma can be derived using the asymptotic homogenization technique which is applied to the Darcy flow problem in the multi-compartment medium with a dual porosity. This approach gives us the tool for decomposition of a 3D volume into a finite number of homogenized 2D layers coupled together by conditions governing the fluid exchange between them. The layer-wise decomposition allows us to approximate the hierarchical structure of the perfusion tree by several homogenized layers with distinct material properties and topology of the underlying microstructure. The tissue parenchyma can be considered as a structure consisting of small arteries and veins connected together by microvessels and capillaries. In the model, the arteries and veins are represented by two disconnected channels. Fluid can flow between these two primary porosities through the matrix representing the dual porosity where the permeability is
Czech name
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Czech description
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Classification
Type
O - Miscellaneous
CEP classification
BI - Acoustics and oscillation
OECD FORD branch
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Result continuities
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)
Others
Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů