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 ...

Overpressurized fluids in the lithosphere play a significant role in a diverse range of globally observed natural hazards. Their occurrence during volcanic eruptions or earth degassing processes is apparent, but their ...

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 ...

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 ...

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 ...

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 ......

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 ...

Bei der Erforschung von Materie hat man sich in der Geschichte schrittweise, durch Beobachtungen und Modelle, an ihre untergeordneten Strukturen herangetastet. Aus heutiger Sicht sind Quarks und Gluonen, neben den Elektronen, ...

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 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 ...