The Faculty of Mathematics and Natural Sciences: Search
Now showing items 1-10 of 16
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 ...
Identifiability and uncertainty for ordinary differential equation models with qualitative or semiquantitative data
(2025-09-26)
The estimation of unknown parameters is a key step in the development of mechanistic dynamical models for biological processes. While quantitative measurements are typically used for model calibration, in many applications, ...
Dynamical and Mechanistic Effects of High Pressure Fluids in the Earth's Crust
(2012-03-16)
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 ...
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 ...
Assessment of uncertainty quantification in universal differential equations
(2025-04-02)
Scientific machine learning is a new class of approaches that integrate physical knowledge and mechanistic models with data-driven techniques to uncover the governing equations of complex processes. Among the available ...
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 ...
Entwicklung einer Spurkammer für das Studium von Driftfeld-Kalibrationsmethoden
(2022-06-07)
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, ...
