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Analysis of direction dispersion of collagen fibers in soft tissues
Sádovská, Terézia ; Lisický, Ondřej (referee) ; Turčanová, Michaela (advisor)
The bachelor thesis deals with the directional distribution of collagen fibres in soft tissues especially in arteries and tendons. The first part gives basic information about anatomy of human vascular system, particulary structure of the arteries. There are explained polarization microscopy principle of materials exhibiting birefringence. Further is described relation between direction of density and mechanical properties expresses as modulus in tensile. In the next section, we will be defined stress in arterial wall using linear stregth and stiffness. In the last part of thesis will be observed dispertion of collagen fibres in tendon. This dispertion is described by circular distribution Von Mises. At the end is evaluated how dispertion of collagen fibres effects mechanical properties of arteries.
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Analysis of impact of direction distribution of collagen fibres in arterial wall on its mechanical properties
Fischer, Jiří ; Návrat, Tomáš (referee) ; Burša, Jiří (advisor)
The aim of this thesis is to analyse literature with focusing on literature about directional distribution of collagen fibres. This knowledge is very important for computational modelling and FEM analysis of arterial wall. Comparison of suitability of different models of directional distribution of collagen fibres is made by fitting of different types of probability density functions. Impact assessment of different collagen fibres distribution on mechanical properties of the arterial wall and impact assessment of wall anisotropy is solved with finite element method. FEM analysis is done on three loading types – uniaxial tension, equibiaxial tension and inflation of artery by internal pressure. Output of this thesis is evaluation of results for various types of collagen fibres arrangement in arterial wall.
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Graphical methods for directional data
Tyuleneva, Anastasia ; Hlávka, Zdeněk (advisor) ; Antoch, Jaromír (referee)
Title: Graphical methods for directional data Author: Anastasia Tyuleneva Department: Department of Probability and Mathematical Statistics Supervisor: doc. Mgr. Zdeněk Hlávka, Ph.D., Department of Probability and Mathematical Statistics Abstract: This work is focused on the improvement of knowledge about the graphical directional data visualizing using different kinds of boxplot. The method and restrictions of the boxplot construction are depicted in this work, especially the need of knowledge of the relationship of sample α−quantiles to the theoretical quantiles. The first part is focused on the most importat information of the theoretical background, boxplot and its parts description. In the second part the construction of the circular boxplot for two-dimensional directional data and representation of their properties using von Mises distribution is described. The final part is consisted of a brief description of the method of construction of multidimensional boxplot or bagplot for three-dimensional Fisher distribution. Keywords: boxplot, bagplot, directional data, von Mises distribution, Fisher distribution
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Analysis of impact of direction distribution of collagen fibres in arterial wall on its mechanical properties
Fischer, Jiří ; Návrat, Tomáš (referee) ; Burša, Jiří (advisor)
The aim of this thesis is to analyse literature with focusing on literature about directional distribution of collagen fibres. This knowledge is very important for computational modelling and FEM analysis of arterial wall. Comparison of suitability of different models of directional distribution of collagen fibres is made by fitting of different types of probability density functions. Impact assessment of different collagen fibres distribution on mechanical properties of the arterial wall and impact assessment of wall anisotropy is solved with finite element method. FEM analysis is done on three loading types – uniaxial tension, equibiaxial tension and inflation of artery by internal pressure. Output of this thesis is evaluation of results for various types of collagen fibres arrangement in arterial wall.
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Analysis of direction dispersion of collagen fibers in soft tissues
Sádovská, Terézia ; Lisický, Ondřej (referee) ; Turčanová, Michaela (advisor)
The bachelor thesis deals with the directional distribution of collagen fibres in soft tissues especially in arteries and tendons. The first part gives basic information about anatomy of human vascular system, particulary structure of the arteries. There are explained polarization microscopy principle of materials exhibiting birefringence. Further is described relation between direction of density and mechanical properties expresses as modulus in tensile. In the next section, we will be defined stress in arterial wall using linear stregth and stiffness. In the last part of thesis will be observed dispertion of collagen fibres in tendon. This dispertion is described by circular distribution Von Mises. At the end is evaluated how dispertion of collagen fibres effects mechanical properties of arteries.
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|
|
Graphical methods for directional data
Tyuleneva, Anastasia ; Hlávka, Zdeněk (advisor) ; Antoch, Jaromír (referee)
Title: Graphical methods for directional data Author: Anastasia Tyuleneva Department: Department of Probability and Mathematical Statistics Supervisor: doc. Mgr. Zdeněk Hlávka, Ph.D., Department of Probability and Mathematical Statistics Abstract: This work is focused on the improvement of knowledge about the graphical directional data visualizing using different kinds of boxplot. The method and restrictions of the boxplot construction are depicted in this work, especially the need of knowledge of the relationship of sample α−quantiles to the theoretical quantiles. The first part is focused on the most importat information of the theoretical background, boxplot and its parts description. In the second part the construction of the circular boxplot for two-dimensional directional data and representation of their properties using von Mises distribution is described. The final part is consisted of a brief description of the method of construction of multidimensional boxplot or bagplot for three-dimensional Fisher distribution. Keywords: boxplot, bagplot, directional data, von Mises distribution, Fisher distribution
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Graphical methods for directional data
Tyuleneva, Anastasia ; Hlávka, Zdeněk (advisor) ; Antoch, Jaromír (referee)
Title: Graphical methods for directional data Author: Anastasia Tyuleneva Department: Department of Probability and Mathematical Statistics Supervisor: doc. Mgr. Zdeněk Hlávka, Ph.D., Department of Probability and Mathematical Statistics Abstract: This work is focused on the improvement of knowledge about the graphical directional data visualizing using different kinds of boxplot. The method and restrictions of the boxplot construction are depicted in this work, especially the need of knowledge of the relationship of sample α−quantiles to the theoretical quantiles. The first part is focused on the most importat information of the theoretical background, boxplot and its parts description. In the second part the construction of the circular boxplot for two-dimensional directional data and representation of their properties using von Mises distribution is described. The final part is consisted of a brief description of the method of construction of multidimensional boxplot or bagplot for three-dimensional Fisher distribution. Keywords: boxplot, bagplot, directional data, von Mises distribution, Fisher distribution
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