Mathematisch-Naturwissenschaftliche Fakultät: Suche
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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 ...
Approximation Complexity of Optimization Problems: Structural Foundations and Steiner Tree Problems
(2004)
In this thesis we study the approximation complexity of the Steiner Tree Problem and related problems as well as foundations in structural complexity theory. The Steiner Tree Problem is one of the most fundamental problems ...
Transistor-Level Layout of Integrated Circuits
(2014-07-29)
In this dissertation, we present the toolchain BonnCell and its underlying algorithms. It has been developed in close cooperation with the IBM Corporation and automatically generates the geometry for functional groups of ...
In Silico Facets of Biochemical Research: Accounts from Protein Folding and Protein-Ligand Interaction Studies
(2020-09-04)
Exponential advancements in computer technology over the last five decades have ubiquitously benefited science and humanity as a whole. Consequent beneficiaries of this surge of computational power include all subfields ......
Analysis of Biochemical Reaction Networks using Tropical and Polyhedral Geometry Methods
(2016-12-21)
The field of systems biology makes an attempt to realise various biological functions and processes as the emergent properties of the underlying biochemical network model. The area of computational systems biology deals ...
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 ...
Fast Resource Sharing in VLSI Routing
(2010-02-04)
Routing is the last major step in chip design. It naturally splits into global and detailed routing: In global routing, an approximate layout of electrical connections is computed, subject to constraints on ...
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 ......
