The Faculty of Mathematics and Natural Sciences: Search
Now showing items 1-10 of 10
Integrating Complex Biomedical Datasets into Differential Equation Models
(2025-07-09)
This thesis focuses on developing mathematical models utilizing complex biomedical datasets to understand epidemiological and cell-biological processes. The thesis is divided into three primary research articles and addresses ...
Scalable Algorithms for Parallel Tree-based Adaptive Mesh Refinement with General Element Types
(2018-12-12)
In this thesis, we develop, discuss and implement algorithms for scalable parallel tree-based adaptive mesh refinement (AMR) using space-filling curves (SFCs). We create an AMR software that works independently of the used ...
Numerische Simulation der Interaktion von inkompressiblen Zweiphasenströmungen mit Starrkörpern in drei Raumdimensionen
(2010-09-30)
In dieser Arbeit stellen wir erstmalig einen parallelen Löser für inkompressible Zweiphasenströmungen mit Oberflächenspannung in drei Raumdimensionen vor, der Masseerhaltung und hohe Konvergenzordnung vereint. Als zweite ...
Geometric Dilation and Halving Distance
(2008)
Let us consider the network of streets of a city represented by a geometric graph G in the plane. The vertices of G represent the crossroads and the edges represent the streets. The latter do not have to be straight line ...
Mathematical modeling and efficient simulation of epidemic metapopulation dynamics: Integrating mobility, behavior, and machine learning
(2026-07-13)
Infectious disease modeling faces an inherent tension between physical realism and computational feasibility. Granular metapopulation models offer interpretability and the capacity to resolve complex behavioral dynamics ......
Migration of interneuronal precursor cells in the developing cerebellum of mice: model-based cell tracking and simulation
(2010-12-10)
The navigation of precursor cells of inhibitory interneurons from their germinal zone inside the fourth ventricle through the white matter towards their final destination within the cerebellum's molecular layer is an ongoing ...
On some Geometric Search Problems: Algorithms, Complexity, Computability
(2020-11-25)
This thesis considers four search problems which are related to or emerge from a geometric context. Each search problem is examined in a separate chapter; these four chapters are framed by an introduction and a conclusion ...
Mathematical Analysis and Modeling of Signaling Networks
(2017-11-24)
Mathematical models are in focus of modern systems biology and increasingly important to understand and manipulate complex biological systems. At the same time, new and improved techniques in metabolomics and proteomics ...
Sparse Grid Methods for Higher Dimensional Approximation
(2010-09-10)
Diese Arbeit befasst sich mit Dünngitterverfahren zur Lösung von höherdimensionalen Problemen. Sie zeigt drei neue Aspekte von Dünnen Gittern auf: Erweiterungen der elementaren Werkzeuge zur Arbeit mit Dünnen Gittern, eine ...
Numerische Simulation von Knochenumbauvorgängen um zahnärztliche Implantate mit der Finite-Elemente-Methode
(2013-01-23)
Zur Untersuchung der Knochenumbauvorgänge sind neben klinischen auch biomechanische Methoden, die den Hauptgegenstand der vorliegenden Arbeit bilden, von besonderer Bedeutung. Insbesondere numerische Simulationen der ...
