A Mathematical Model for Tumor Growth and Angiogenesis

Global tide model with DFlow-FM

This thesis is about the beginning of a global tide model in DFlow-FM, a project by Deltares. The first focus lay on finding the best grid that can be used for this model. We tried to grids, a rotated lat-lon grid and a squarely grid with local refinement. After calculating the RMS-value it was found that the local refined grid gave the best...

Een semi-stocahstisch, multi-scale model voor tumorangiogenese

In dit verslag wordt een wiskundig model voor tumorangiogenese gepresenteerd. Daarnaast wordt een model voor de zuurstofconcentratie en een model voor de tumorgrootte gepresenteerd. De angiogenese wordt op microschaal gemodelleerd door de verplaatsing van de toppen van bloedvaten per tijdsstap te berekenen. De verplaatsing wordt bepaald door...

A mathematical model of cell migration and deformation in various situations

A mathematical model of the migration and deformation of cells on a cellular scale is simulated. The cells are represented by a boundary and a nucleus. The boundary and nucleus are divided into several points, where the boundary points as well as the nucleus points are connected to each other by a series of springs. The model considers one or...

Het modelgebaseerd corrigeren van meetdata (Model-based correction of data)

Tijdens het varen zijn er verschillende data gemeten. In deze data zitten fouten. Vanwege de fouten zijn er aannames opgesteld. De aannames worden getoetst. De data wordt gecorrigeerd, gebruikmakend van gewogen gemiddelden en kubische splines

Numerieke methode in het LWR2D voetgangersmodel

Ieder jaar zijn er veel evenementen waar duizenden of zelfs miljoenen mensen op afkomen. Denk bijvoorbeeld aan muziek-, cultuur- en sportevenementen. Daarnaast gebruiken miljoenen mensen dagelijks plekken als stations of winkelcentra. Bij al deze voorbeelden ontstaan gigantische mensenmassa's die gecontroleerd moeten worden zodat de...

Kitepower Ground Station: Modelling the Ground Station of the Kitepower System

Kitepower is a start up that generates energy using kites. The Kitepower system consists of airborne components, and a ground station where a drum is connected to a generator/electrical motor. For generating energy a so called pumping cycle is performed. In a pumping cycle energy is generated during the traction phase when the kite pulls the...

Mechanistic model of an in-line liquid-liquid swirl separator

The world’s ever-increasing demand for energy and the inevitable depletion of the available fossil resources in the foreseeable future lead to an increasing necessity to optimize the exploitation of oil fields. The in-line liquid-liquid swirl separator is a separation method that is interesting for two reasons: It separates oil and water faster...

The emergence of dissipation dilution: in doubly clamped nanomechanical resonators

The goal of the research described in this thesis was to investigate the basis of dissipation dilution as well as make it comprehensible. In the written literature we could find that the kinetic energy of an oscillating beam is stored into two types of potential energy~\cite{Kippenberg, Kotthaus}. A dissipative bending component and a...

Power flow modeling in a substation of a wind-and solar farm

Mathematical Modelling of a flute

The transverse flute can be studied on many aspects. In this thesis the sound waves that can be generated inside the flute are studied on their shape and frequencies. To achieve this, two mathematical models of the sound waves inside a flute are developed. To develop these models, solutions to the second dimensional wave equation are calculated...