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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

  • DOI - Digital Object Identifier

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

  • Czech description

Classification

  • Type

    O - Miscellaneous

  • CEP classification

    BI - Acoustics and oscillation

  • OECD FORD branch

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