. "23520" . "Rohan, Eduard" . "1-4" . "Recently a homogenized model of blood perfusion in deforming tissue was developed which is assumed to help in understanding some diffusion-deformation phenomena. One can see how the microstructural geometry and topology influence form of the homogenized constitutive laws and how individual homogenized coefficients reflect specific modes of interactions at the microscopic level. The micromodel considered in the homogenization procedure is based on the Biot model for the incompressible medium constituents. In the paper we discuss some modelling aspects related to hierarchical structure of the perfusion tree, the computation of the homogenized coefficients, namely approximation of the fading memory phenomena is addressed."@en . . . "2007-01-01+01:00"^^ . . . . . . "[EB75A5EADA74]" . "Computational Plasticity" . "CIMNE" . "blood perfusion; homogenization; hierarchical structure; fading memory; computational modelling"@en . "Computational aspects of two-scale modeling of blood perfused tissues" . . . "4"^^ . . . "Computational aspects of two-scale modeling of blood perfused tissues"@en . "RIV/49777513:23520/07:00000184" . "Cimrman, Robert" . "Computational aspects of two-scale modeling of blood perfused tissues" . "Barcelona" . "Z(MSM4977751303)" . "Barcelona" . . "2"^^ . "RIV/49777513:23520/07:00000184!RIV08-MSM-23520___" . "2"^^ . "Computational aspects of two-scale modeling of blood perfused tissues"@en . "V\u00FDpo\u010Dtov\u00E9 aspekty dvou\u0161k\u00E1lov\u00E9ho modelov\u00E1m\u00ED prokrven\u00FDch tk\u00E1n\u00ED"@cs . . "978-84-96736-29-0" . "V\u00FDpo\u010Dtov\u00E9 aspekty dvou\u0161k\u00E1lov\u00E9ho modelov\u00E1m\u00ED prokrven\u00FDch tk\u00E1n\u00ED"@cs . "414597" . . . . . "Ned\u00E1vno byl vyvinut homogenizovan\u00FD model prokrven\u00E9 tk\u00E1n\u011B, kter\u00FD umo\u017En\u00ED l\u00E9pe pochopit n\u011Bkter\u00E9 jevy spojen\u00E9 s dif\u00FAz\u00ED tekutiny v tk\u00E1ni a jej\u00ED deformac\u00ED. Je patrn\u00E9 jak konkr\u00E9tn\u00ED forma geometrie a topologie mikrostruktury ovliv\u0148uje tvar jednotliv\u00FDch konstitutivn\u00EDch vztah\u016F. Zejm\u00E9na lze sledovat, jak jednotliv\u00E9 homogenizovan\u00E9 koeficienty odr\u00E1\u017Eej\u00ED specifick\u00E9 interakce na \u00FArovni mikrostruktury. Homogenizace vych\u00E1z\u00ED z mikromodelu Biotova typu pro nestla\u010Diteln\u00E9 slo\u017Eky m\u00E9dia. V p\u0159\u00EDsp\u011Bvku jsou diskutov\u00E1ny n\u011Bkter\u00E9 ot\u00E1zky modelov\u00E1n\u00ED hierarchick\u00E9 struktury stromu prokrven\u00ED, v\u00FDpo\u010Det homogenizovan\u00FDch koeficient\u016F, zejm\u00E9na aproximace \u010Dasov\u00E9 z\u00E1vislosti koeficient\u016F modelu a popis p\u0159idru\u017Een\u00E9ho jevu vyhas\u00EDnaj"@cs . "Recently a homogenized model of blood perfusion in deforming tissue was developed which is assumed to help in understanding some diffusion-deformation phenomena. One can see how the microstructural geometry and topology influence form of the homogenized constitutive laws and how individual homogenized coefficients reflect specific modes of interactions at the microscopic level. The micromodel considered in the homogenization procedure is based on the Biot model for the incompressible medium constituents. In the paper we discuss some modelling aspects related to hierarchical structure of the perfusion tree, the computation of the homogenized coefficients, namely approximation of the fading memory phenomena is addressed." . .