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  • The homogenization approach to the modeling of diffusion in a dual-porous deformable incompressible medium the Biot-type is reported. The model can describe the blood perfusion in biological tissues or uid ltration phenomena in general. Because of the strong heterogeneity in permeability coefcients associated with three compartments of the representative microstructural cell (RMC), the homogenization of the model leads to the double diffusion phenomena. The homogenized model describe the parallel diffusion in two high-conducting compartments (arterial and venous sectors) separated by a low-conducting matrix representing the perfused tissue. To obtain the homogenized model, the method of periodic unfolding is applied. The homogenized coefcients are dened in terms of the characteristic response of the RMC. Viscoelastic and other effective parameters, controlling deformation and the uid redistribution are involved also in time convolutions.
  • The homogenization approach to the modeling of diffusion in a dual-porous deformable incompressible medium the Biot-type is reported. The model can describe the blood perfusion in biological tissues or uid ltration phenomena in general. Because of the strong heterogeneity in permeability coefcients associated with three compartments of the representative microstructural cell (RMC), the homogenization of the model leads to the double diffusion phenomena. The homogenized model describe the parallel diffusion in two high-conducting compartments (arterial and venous sectors) separated by a low-conducting matrix representing the perfused tissue. To obtain the homogenized model, the method of periodic unfolding is applied. The homogenized coefcients are dened in terms of the characteristic response of the RMC. Viscoelastic and other effective parameters, controlling deformation and the uid redistribution are involved also in time convolutions. (en)
Title
  • Two-scale modeling of tissue perfusion problem using homogenization of dual porous media
  • Two-scale modeling of tissue perfusion problem using homogenization of dual porous media (en)
skos:prefLabel
  • Two-scale modeling of tissue perfusion problem using homogenization of dual porous media
  • Two-scale modeling of tissue perfusion problem using homogenization of dual porous media (en)
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  • RIV/49777513:23520/10:00503443!RIV11-GA0-23520___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA106/09/0740), Z(MSM4977751303)
http://linked.open...iv/cisloPeriodika
  • 1
http://linked.open...vai/riv/dodaniDat
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  • 293899
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  • RIV/49777513:23520/10:00503443
http://linked.open...riv/jazykVysledku
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  • perfusion; periodic homogenization; dual-porous media; Biot model (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [8DBF42261480]
http://linked.open...i/riv/nazevZdroje
  • International Journal for Multiscale Computational Engineering
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
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http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 8
http://linked.open...iv/tvurceVysledku
  • Rohan, Eduard
  • Cimrman, Robert
http://linked.open...n/vavai/riv/zamer
issn
  • 1543-1649
number of pages
http://localhost/t...ganizacniJednotka
  • 23520
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