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Title: Proces transportu lipoprotein niskiej gęstości (LDL) w ścianach naczyń krwionośnych
Authors: Jesionek, Katarzyna
Advisor: Kostur, Marcin
Keywords: lipoproteiny LDL; miażdżyca tętnic
Issue Date: 2017
Publisher: Katowice: Uniwersytet Śląski
Abstract: The accumulation of low density lipoproteins within the arterial wall is associated with process of atherogenesis. Moreover, it is commonly accepted, that the development of the atherosclerotic plaque is enhanced by the biomechanical factors, such as hypertension and low wall shear stress. In addition to medical experiments, computational simulations of the LDL transport in the vascular wall are an important tool in the study of atherosclerosis. Simulations of the LDL transport affected by that biomechanical factors can improve the understanding of mechanisms responsible for the atherogenesis. In this thesis the extended theoretical model of the LDL transport in the arterial wall is introduced. Proposed model for the first time take into account two mentioned biomechanical factors simultaneously. In this model arterial wall is considered as a medium composed of four homogeneous porous layers. The transport of macromolecules in such structure is described by the volume-averaged advectiondiffusion- reaction equation. The first part of the thesis contains biological and physical basis of the modeling. In this part the process of atherogenesis affected by biomechanical factors is presented. Then the transport processes in porous media are discussed. In the main part of this thesis the extended four layer model of the LDL transport in the arterial wall is presented. In this section, differences between proposed model and other models, known from literature are emphasized. Moreover, the procedure of transport parameters estimation is described in details. It is important because in literature there are some extremely different transport parameters sets for the LDL transport in the vessel wall. The most important part of this section is the description of methods, which allow to impose biomechanical factors to the modelling. In the next part of the thesis results obtained in the modeling are discussed. This section is divided into two main parts. In the first one the influence of biomechanical factors on one-dimensional LDL concentration profiles within the arterial wall is investigated. In the second part, the example of applying the proposed model to analysis of clinical data is presented. The CT based geometry of the right coronary artery was used in calculations. To sum up, in the thesis it has been shown that it is possible to accurate model the LDL transport with good agreement with experiments. It can be the first step for clinical usage of theoretical calculations of the LDL transport in the arterial wall. Moreover, the analysis of the influence of biomechanical factors on this transport has allowed us to draw conclusions about reasons of the LDL accumulation process in the vessel wall.
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