Reconstruction of Phylogenetic Networks: An algorithm for deconstructing and reconstructing Level-2 Binary Networks based on their distances

Van Iersel, Moulton, and Murakami (2020) proved that a level-2 binary phylogenetic network can be uniquely reconstructed based on the matrix of mulitsets of the distances of the leaves. Using a handful of lemma’s each<br/>describing the steps of identifying cherries, uncontained leaves and blobs in the network, I created an algorithm for...

Properties of the Racahpolynomials with regard to the Lie algebrarepresentation of sl(2;C)

The Racah polynomial Rn(λ(x)) is a polynomial of degree n and is variable in λ(x). In this thesis two properties of this polynomial will be studied. One is the orthogonal property of the Racah polynomial. And the other is that the Racah polynomial can also be described as a polynomial of degree x and variable over λ(n). The Racah polynomials...

Eclipses by exomoons

The aim of this research is to study a method to find exomoons and to find specific characteristics that point to the existence of exomoons. Exomoons are natural satellites orbiting an extrasolar (exo)planet in an extrasolar system. By looking at eclipses on exoplanets, we can find these characteristics.<br/>We consider the reflected light...

A numerical method for the convection-diffusion equation around a spherical particle with surface reaction: While using a coupled overlapping domain

In this project a numerical method has been designed for the coupling of a spherical and cubic grid while preserving a second order error accuracy. This is done to make accurate simulations of the many processes in nature that rely on mass or heat transfer between a solid surface and an adjacent fluid. The solid surface is often enlarged by...

A Smart Home: Main Control Unit and Nodes

In order to cope with various supplies and loads in an autonomous microgrid, a system of sensors and a control unit was developed. The goals of this system are to cope efficiently in the event of an energy supply shortage, and to prevent such events as much as possible. To achieve these goals, the aim was to manage energy in the system as...

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Verificatie van een model voor deformaties van de prostaat voor radiotherapie

Een promovendus bij DIAM is bezig om de deformaties van de prostaat preciezer te modelleren, en alleen de echt voorkomende deformaties mee te nemen in de optimalisering van het bestralingsplan. Het is de verwachting dat kwetsbare organen in de buurt van de prostaat meer ontzien kunnen worden dan met uniforme marges. Bij het bestralen wordt er...