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  • We developed a model of homogenized perfusion in the 3-compartment medium constituted by several transversely periodic layers, which enable us to approximate flow through different hierarchies of the porosity. A 3D layered structure can be replaced by a finite number of 2D %22homogenized layers%22 coupled by conditions governing the fluid exchange between them. Each layer is assumed to have a locally periodic structure generated by the reference periodic cell. Using this cell, homogenized coefficients relevant to the macroscopic level can be calculated. However, using generalized coupling conditions for geometrically non-matching layers along their interfaces, this approach allows us to approximate the hierarchical structure of the perfusion tree: in each layer the periodic microstructure can be different and can be of different size. Then also more separated channel porosities in each layer can be considered. Using the macroscopic flow response, pressures, related perfusion velocities and transversal fluxes we can describe redistribution of the contrast fluid (the tracer) in time through the whole 3D volume decomposed in the layers.
  • We developed a model of homogenized perfusion in the 3-compartment medium constituted by several transversely periodic layers, which enable us to approximate flow through different hierarchies of the porosity. A 3D layered structure can be replaced by a finite number of 2D %22homogenized layers%22 coupled by conditions governing the fluid exchange between them. Each layer is assumed to have a locally periodic structure generated by the reference periodic cell. Using this cell, homogenized coefficients relevant to the macroscopic level can be calculated. However, using generalized coupling conditions for geometrically non-matching layers along their interfaces, this approach allows us to approximate the hierarchical structure of the perfusion tree: in each layer the periodic microstructure can be different and can be of different size. Then also more separated channel porosities in each layer can be considered. Using the macroscopic flow response, pressures, related perfusion velocities and transversal fluxes we can describe redistribution of the contrast fluid (the tracer) in time through the whole 3D volume decomposed in the layers. (en)
Title
  • Modeling of dynamic perfusion test using a two-scale model of tissue parenchyma with layer-wise decomposition
  • Modeling of dynamic perfusion test using a two-scale model of tissue parenchyma with layer-wise decomposition (en)
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  • Modeling of dynamic perfusion test using a two-scale model of tissue parenchyma with layer-wise decomposition
  • Modeling of dynamic perfusion test using a two-scale model of tissue parenchyma with layer-wise decomposition (en)
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  • RIV/49777513:23520/12:43915718!RIV13-GA0-23520___
http://linked.open...avai/predkladatel
http://linked.open...avai/riv/aktivita
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  • P(ED1.1.00/02.0090), P(GA106/09/0740)
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  • 151013
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  • RIV/49777513:23520/12:43915718
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  • double porosity; transport equation; homogenization; porous media; perfusion; multiscale modeling (en)
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  • [71B7D5C55EBC]
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  • Jonášová, Alena
  • Lukeš, Vladimír
  • Rohan, Eduard
http://localhost/t...ganizacniJednotka
  • 23520
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