In the beginning we outline some important properties of blood and de- scribe it from the biological point of view. In the next section we show how we derived our model based on the mixture theory. For the final model we suggest a mathematical method based on the finite element method and subject it to tests for flow in a simple domain. In the middle part we prove the existence of solution for a model with simplified constitutive relation for the stress tensor, which still includes an anisotropic model for the platelet diffusion. In the last section we show numerical results. We start with sim- ple testing computations in simple domains, followed by computations in a two-dimensional simulation of an aneurysm, and narrowed blood vessel re- spectively. In the end we also show some illustrative computations in three dimensions. 1
| Identifer | oai:union.ndltd.org:nusl.cz/oai:invenio.nusl.cz:323090 |
| Date | January 2014 |
| Creators | Michalová, Marie |
| Contributors | Hron, Jaroslav, Souček, Ondřej |
| Source Sets | Czech ETDs |
| Language | Czech |
| Detected Language | English |
| Type | info:eu-repo/semantics/masterThesis |
| Rights | info:eu-repo/semantics/restrictedAccess |
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