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Description
  • Článek pojednává o dvouškálovém modelování cévní stěny s respektováním její mikrostruktury. Cévní stěna je na makroskopické úrovni považována za osově symetrickou trubici. Na mikroskopické škále uvažujeme tkáň jako periodickou strukturu složenou z porézní hyperelastické matrice a inkluzí vyplněných nestlačitelnou kapalinou. Inkluze a matrice jsou odděleny propustnou membránou. Mikrostruktura dále obsahuje elastická vlákna jež reprezentují buněčný cytoskeleton. Difuzní jevy, odpovídající za viskoelastické chování tkání, jsou zahrnuty do matematického modelu měkké tkáně. Numerické příklady demonstrují deformačně-difuzní procesy na 3D mikrostruktuře. Pro numerick (cs)
  • This article deals with two scale modelling of an arterial wall with respect to its microstructure. The arterial wall is assumed as an axisymmetric tube at the macroscopic scale. At the microscopic level the tissue is considered as a periodic structure composed of hyperelastic matrix and inclusion filled by incompressible fluid and separated from the matrix by a permeable membrane. The elastic fibres representing cell cytosceleton are taken into account in the model at the microscopic scale. The diffusion effects that are responsible for viscoelastic behaviour of the tissue are incorporated to the mathematical model of the soft tissue. Numerical examples demonstrate deformation-diffusion processes within the 3D microstructure and 2D axisymmetric macrostructure representing arterial wall. The parallel algorithm was used to solve the coupled micro-macro problems.
  • This article deals with two scale modelling of an arterial wall with respect to its microstructure. The arterial wall is assumed as an axisymmetric tube at the macroscopic scale. At the microscopic level the tissue is considered as a periodic structure composed of hyperelastic matrix and inclusion filled by incompressible fluid and separated from the matrix by a permeable membrane. The elastic fibres representing cell cytosceleton are taken into account in the model at the microscopic scale. The diffusion effects that are responsible for viscoelastic behaviour of the tissue are incorporated to the mathematical model of the soft tissue. Numerical examples demonstrate deformation-diffusion processes within the 3D microstructure and 2D axisymmetric macrostructure representing arterial wall. The parallel algorithm was used to solve the coupled micro-macro problems. (en)
Title
  • Mathematical model of arterial wall - axisymetric tube with 3D microstructure
  • Matematické modelování cévní stěny - osově symetrická trubice s 3D mikrostrukturou (cs)
  • Mathematical model of arterial wall - axisymetric tube with 3D microstructure (en)
skos:prefLabel
  • Mathematical model of arterial wall - axisymetric tube with 3D microstructure
  • Matematické modelování cévní stěny - osově symetrická trubice s 3D mikrostrukturou (cs)
  • Mathematical model of arterial wall - axisymetric tube with 3D microstructure (en)
skos:notation
  • RIV/49777513:23520/06:00000176!RIV08-MSM-23520___
http://linked.open.../vavai/riv/strany
  • 323-330
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM4977751303)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 484382
http://linked.open...ai/riv/idVysledku
  • RIV/49777513:23520/06:00000176
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • porous media; diffusion; viscoelasticity (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [27D0C6A596D8]
http://linked.open...v/mistoKonaniAkce
  • Hrad Nečtiny
http://linked.open...i/riv/mistoVydani
  • Pilsen
http://linked.open...i/riv/nazevZdroje
  • Computational mechanics 2006
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Lukeš, Vladimír
  • Rohan, Eduard
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
http://purl.org/ne...btex#hasPublisher
  • Západočeská univerzita v Plzni
https://schema.org/isbn
  • 80-7043-477-5
http://localhost/t...ganizacniJednotka
  • 23520
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