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Kloet, Pim (author)
All organisms are built out of cellular tissue. Being able to recognise abnormalities in these tissues could be useful in recognizing cancerous cells. In this thesis we construct a mathematical model for cellular tissue based on its spatial structure. We consider cells as elements of the network. Touching cells are considered connected. Cells...
bachelor thesis 2023
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Fokker, Floris (author)
In this thesis, the hydrodynamic limit (HDL) for two trapping models is studied, the Random Waiting Time Model (RWTM) and the fractional kinetics process (FKP), on a discrete lattice Zd . The RWTM is studied for dimension d ≥ 1 and E[wi ],∞where wi denotes the waiting time at position i . On the other hand, the FKP is studied for d ≥ 3 and a...
bachelor thesis 2023
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Eenhoorn, Jasper (author)
The (nonlinear) behaviour of laser beams can be described with Nonlinear Schrödinger equations (NLS). The purpose of this thesis is to shed light on two mathematical papers that give existence and uniqueness results for an NLS equation called the soliton equation. The contribution is to expand the level of detail with which the analysis and some...
bachelor thesis 2023
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Koot, Kees (author)
In this thesis the behaviour of a Bose Einstein condensate is explored that consists of bosons that annihilate. In order to do this a system where bose einstein condensation occurs is modeled as a Zero Range process which is a special case of a Markov process.<br/>First we made a single slow site Zero range process with uniform rates and see how...
bachelor thesis 2022
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Moorlag, Martijn (author)
This report has been made to gain more insight and knowledge of the Keplerian method for collision detection simulations by simplifying N-body systems to a list or particles with orbital parameters. Collision detection is an essential part in modeling the evolution of protoplanetary disk becoming planetary systems by the merging of planetesimal...
bachelor thesis 2022
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Aliberti, Dylan (author)
The aim of this thesis was to test the efficiency in practice of an analytical propagator with collision detection for <i>N</i>-body Keplerian systems. This can be used to simulate the evolution of a protoplanetary disk, which gives insight into how planetary systems form. The analytic propagator calculates collisions one by one, while a...
bachelor thesis 2022
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Fränkel, Oseï (author)
Economic engineering models individual agents as inertia elements and can be viewed as a microeconomic theory based on analogs with classical mechanics. In this thesis the economic engineering concept of modeling individual agents is used to model economic systems consisting of many agents, e.g. an entire country. This is done using classical...
master thesis 2022
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Vermeer, Wiggert (author)
Synchronisation refers to the tendency of coupled oscillators to move in phase with one another over time, departing from their own natural frequency. This phenomenon occurs in almost all branches of science, engineering, and social life. Synchronisation is a well understood concept in classical mechanics. Quantum synchronisation involves...
bachelor thesis 2022
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Witmer, Brian (author)
Quantum technology is evolving faster than ever. Currently, all eyes are on the quantum computer, the promising computer that can solve problems which are unsolvable for regular computers. In order to understand this new technology, it is necessary to understand the qubit, the basic unit of quantum information. This can be done by means of the...
bachelor thesis 2022
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Hajer, Wouter (author)
Over the past century various different discrepancies in the expected and observed behaviour of galaxies and galaxy clusters were found. Together this is called the missing mass problem and the most well known theory trying to explain these differences states that there is additional undetectable mass in the form of dark matter. Modified...
bachelor thesis 2022
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Levert, Tim (author)
In this report, we have taken a look at three different types of trebuchets: the seesaw, the traction trebuchet or mangonel, and the counterweight trebuchet. We have created models to describe their motion by making use of Lagrangian mechanics and have compared them based on their maximum ranges. Moreover, we have also calculated a lower bound...
bachelor thesis 2022
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Kokkedee, Diederik (author)
A one-dimensional model of respiratory deposition is developed based on an Eulerian approach. The model simulates aerosol deposition in all generations of the respiratory tract by numerically solving the aerosol general dynamics equation (GDE) for a range of aerosol diameters. The lung geometry is described by Weibel’s morphometric model, with a...
bachelor thesis 2022
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Oudejans, Benjamin (author)
As quantum computers are developing, they are beginning to become useful for practical applications, for example in the field of quantum metrology. In this work, a variational quantum algorithm is used to find an optimal probe state for measuring parameters in a noisy environment. This is achieved by optimizing a cost on a quantum computer,...
bachelor thesis 2021
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Dupont, José (author)
This thesis is divided into five parts (covering chapter 1–5), that together try to give the reader a basic understanding of the symmetries of and the mathematical structure behind the standard model. The first two chapters cover some Lie and representation theory of the Lie groups U(1), SU(2) and SU(3), which play a central role in the standard...
bachelor thesis 2021
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van Zwienen, Heike (author)
context: The long-term evolution of a self-gravitating astrophysical disk can be modeled using secular perturbation theory. Recently, Batygin published a paper where he claims that such a disk with a special density can be described by a Schrödinger equation by using this method. aims: In this thesis, we will study the secular perturbation...
bachelor thesis 2020
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van Laarhoven, Menno (author)
The concept of entanglement is one of the distinguishing features in quantum mechanics. Information about one particle can determine the state of another particle. This information and entanglement in subsystems is quantified by the entanglement entropy. The entanglement entropy has become an important research topic in recent years....
bachelor thesis 2020
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Braas, Ruben (author)
Knowledge of particle deposition is important in clinical settings or when discussing environmental effects of aerosols on humans.<br/>Particle deposition in the human respiratory tract is determined by breathing patterns and lung morphology, as well as particle properties and deposition mechanisms.<br/>In this study we develop a 1-dimensional...
bachelor thesis 2020
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de Groot, J.J.A.M. (author)
This thesis gives a thorough description of the mathematical tool called reflection positivity, which can be used to prove the occurrence of phase transitions in physical models. A major result, although already known, is a theorem that gives tractable conditions on the Hamiltonian such that the Boltzmann functional is reflection positive. In...
bachelor thesis 2020
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Jiskoot, C. (author)
In this thesis we study genetic regulatory networks using a minimal nonlinear<br/>model from literature and extend this to multi-compartment gene-to-gene interaction networks using both numerical simulations and random matrix theory.<br/>When we add perturbations to a system of two interaction networks, the largest<br/>eigenvalue becomes larger,...
bachelor thesis 2020
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Dijkstra, Kevin (author)
E8 is a famous root system in mathematics. Lisi claims in his paper “An Exceptionally Simple Theory of Everything” that there is a connection between the standard model of the elementary particles and this root system. He claims that standard model has the same structure as the root system E8. If this is true, there must be a mapping from the...
bachelor thesis 2019
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