A momentum conservative finite-volume scheme on a staggered z-layer grid for three-dimensional non-hydrostatic flow

In the early 90’ the research institute Deltares began the development of a non-hydrostatic extension for the existing three-dimensional shallow-water simulation software Delft3D-FLOW a modeling package which was originally intended for hydrostatic shallow-water flow. The original non-hydrostatic flow model is based on a non-conservative finite...

Simulation of drying and ?ooding in a tidal embayment using the level set method

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...

Improving the tumor coverage by dynamic steering in Hyperthermia

Hyperthermia is a cancer treatment in which tumours are heated. This makes them more vulnerable to other cancer treatments like radiotherapy and chemotherapy. In this report we search for a way to improve the tumour coverage. Here the tumour coverage is how much of the tumour is heated.

Determination of the mechanism behind the formation of spatio-temporal hexagonal activity patterns in a model neuronal network

In this report I present the results from the mathematical analysis of a model neuronal network introduced by Ermentrout and Curtu, extended to two space dimensions. The model can be seen as a simple model of a cortical sheet that describes the firing rate activity of two populations of neurons coupled together, one excitatory that displays...

Waterbeweging in een estuarium: Analytische modellering van getijde beweging voor diepte-afhankelijke viscositeitsprofielen met behulp van de breedte-gemiddelde ondiep-water-vergelijkingen.

In een estuarium is het belangrijk te weten wat de kenmerken zijn van de stroming van het water om de ecologie te bestuderen. Hiervoor wordt een tweedimensionaal model met behulp van de breedte-gemiddelde ondiep-water-vergelijkingen (shallow water equations) afgeleid. De aandacht wordt daarna vervolgens gefocust op de leidende orde...

De overlevingskans van een G-eiwit op een celmembraan

Cellen in ons lichaam beschikken over het vermogen om zich gericht te bewegen. Dit fenomeen wordt chemotaxis genoemd. Chemotaxis wordt onder anderen mogenlijk gemaakt door een samenwerking tussen twee soorten moleculen binnen een cel, receptoren en boodschappers. Een receptor vangt signalen uit de omgeving op en geeft dit door aan boodschappers...

Improving the Algal Bloom Prediction in the North Sea by Ensemble Kalman Filtering in the GEM/BLOOM Model

The ecological state of the North Sea surface water can be indicated by ocean variables such as the Chlorophyll-a (Chlfa) concentration. Chlfa is the principal photosynthetic pigment and is common to all phytoplankton and can therefore be used as a measure of phytoplankton biomass. The GEM/BLOOM model developed at Deltares is a generic...

Applying data-assimilation and calibration in the field of urban drainage

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...

Fast re-planning for radiotherapy by using the reference point method

When a patient is diagnosed with cancer, a number of treatments is possible. About half of these patients is treated with radiotherapy. This is a multi-disciplinary field of research, where mathematics, physics and medicine come together. In this thesis the focus will lie on prostate cancer. One of the main problems with this type of cancer is...