000016035 001__ 16035
000016035 005__ 20161115135336.0
000016035 04107 $$aeng
000016035 046__ $$k2013-06-12
000016035 100__ $$aMilosevic, M.
000016035 24500 $$aMultiscale Modeling of Molecular Diffusion in Tissue

000016035 24630 $$n34.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000016035 260__ $$bNational Technical University of Athens, 2013
000016035 506__ $$arestricted
000016035 520__ $$2eng$$aTissue can be considered as a composite medium through which occurs transport of molecules. Transport of matter by diffusion within this medium is affected not only by internal microstructural geometry, but also by physico-chemical interactions between solid phase (proteins, fibers) and transported molecules or particles. We implement a new hierarchical multiscale microstructural model [1], [2] for simulation of transport of molecules through tissue. Our model is based on a novel numerical homogenization procedure. The equivalent diffusion parameters of the continuum model consist of equivalent bulk commonly used diffusion coefficients and new equivalent distances from the solid surface. Numerical examples include, among others, a model of diffusion within tissue in the vicinity of a capillary through which molecules are transported by convection. A study of the effects of collagen mesh density within tissue on transported molecule concentration profiles is presented.

000016035 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000016035 653__ $$adiffusion, hierarchical modeling, complex media, microstructural model, equivalent continuum model, numerical homogenization.

000016035 7112_ $$aCOMPDYN 2013 - 4th International Thematic Conference$$cIsland of Kos (GR)$$d2013-06-12 / 2013-06-14$$gCOMPDYN2013
000016035 720__ $$aMilosevic, M.$$iKojic, M.$$iKojic, N.$$iFerrari, M.$$iZiemys, A.
000016035 8560_ $$ffischerc@itam.cas.cz
000016035 8564_ $$s966051$$uhttps://invenio.itam.cas.cz/record/16035/files/2148.pdf$$yOriginal version of the author's contribution as presented on CD, section: SC-MS 06 COMPUTATIONAL MODELING OF CARDIOVASCULAR DISEASES
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000016035 962__ $$r15525
000016035 980__ $$aPAPER