The Effect of ECM Stiffness on Tip/Stalk Cell Patterning during Early Sprouting Angiogenesis: A computational approach

Angiogenesis, i.e. the formation of blood vessels from existing ones, plays a vital role in bone or wound healing. The expansion of vascularization facilitates the healing process through the delivery of oxygen and nutrients to the injured site and through the removal of waste products. Clinical observations indicate that impaired angiogenesis...

Dynamical edge-vortex excitations: injection, braiding and detection

The detection of non-Abelian exchange statistics is an open challenge which holds important promises for the advent of topological quantum computation. A recent work proposes to rely on the edges to reveal the braiding statistics of nonAbelian anyons in the bulk, in an entirely deterministic dynamical process. A time-dependent gap in a Josephson...

Building a building block: A realistic, ready-to-couple, one-dimensional model of systemic lymph flow.

Coupled mathematical models are used successfully to represent systemic blood flow with different degrees of precision: for example, 3D representations in zones of particular interest (e.g., the aortic bifurcation) are embedded into 1D models who account for systemic blood circulation. When it comes to the lymphatic system, various 1D models for...

Non-Consensus Opinion Models with Byzantine Nodes

Opinion dynamics models study how the interaction among people influences the opinion formation process. In most opinion dynamics models, only one opinion could exist in the steady state, which is different from the real-life opinion formation process. In 2009, Shao \emph{et al.} introduced a non-consensus opinion (NCO) model, which allows...

Several approaches to model multi-commodity dynamical flow: on a package transport network

This thesis investigates several kinds of models of describing multi-commodity dynamical flow. Three models have been developed for a spatial logistic network, on which packages are delivered by vehicles and another<br/>model was developed to describe interactions between the customers, the stores and the deliverers, which does not explicitly...

One-dimensional two-phase analytical models applied to closed-loop reservoir management

Reservoir characteristics such as size and permeability are often non-trivial, which is why sophisticated yet often time-intensive numerical models are commonly used in the Closed-Loop Reservoir Management of subsurface reservoirs in order to maximize profit from oil production. For certain reservoirs, however, simple analytical models can...

The stability region of the tubing performance relation curve

The tubing performance relation curve is a measure of well performance in gas well engineering. It describes the two-phase flow inside a well and as such is modeled as a two-phase one dimensional pipe flow. Convention claims that production points on the TPR curve to the right of its minimum are stable. There also exist claims about the region...

Enhancing iterative solution methods for general FEM computations using rigid body modes.

Translocation of Heterogeneous Polymers through a Nanopore

Translocating a chain of different beads through a very small pore can be used as a first step of modelling a DNA chain that passes through a nanopore. This translocation process offers a variety of possibilities in chemical and biological processes, for instance rapid DNA sequencing. In this thesis the chain is modelled as a polymer with...