Promotor: A.W. van der Vaart

During embryonic growth, cells proliferate, differentiate, and collectively migrate to form different tissues at the right position and time in the body.

A novel mathematical model describes spatial-temporal drug distribution within one or more brain units, which are cubic representations of a piece of brain tissue with brain capillaries at the edges.

A complex community of microbes develops in the infant gut shortly after birth. We call this community the infant gut microbiota. The microbiota influences the health of the infant, which makes the composition and function of the infant gut microbiota an important topic to study.

Despite being the object of intense study, embryonic development has been difficult to model due to a number of reasons. First, complex tissues can be comprised of many cell types, of which we probably only know a subset.

Het Nederlandse team was bij de achtste European Girls' Mathematical Olympiad zeer succesvol. Drie van de vier teamleden gingen met een medaille naar huis. De Wiskunde Olympiade vond dit jaar plaats van 7 tot 13 april in de Oekraïense hoofdstad Kiev.

Manjul Bhargava, Frank den Hollander en Hendrik Lenstra zijn toegetreden tot de ‘Inaugural Class of AMS Fellows’ van het ‘Fellows of the American Mathematical Society program’.

Promotor: S.M. Verduyn Lunel

Artful Mathematics: The Heritage of M. C. Escher

Promotor: A. Doelman, Co-promotores: P.J.A. van Heijster; A. Zagaris

Developing robust algorithms and theory for establishing cause-effect relationships from observational data that scale up to large data sets

This dissertation focuses on developing new mathematical and statistical methods to properly represent time-varying covariates and model them within the context of time-to-event analysis.

Promotor: Prof.dr. S.F. Portegies Zwart

Organisms often need to adapt more efficiently and devise new strategies for surviving difficult ecological circumstances.

Epithelial-mesenchymal plasticity (EMP) and tumor cell migration play an important role in cancer progression, and an improved understanding of the mechanisms underlying these concepts is essential for developing new targeted approaches.

Immunotherapies for cancer are an emerging class of therapeutic strategies which aim to treat cancer via augmentation of the immune system.

We consider the propagation of electrical signals through nerve fibres.

Vast, often populated, areas in dryland ecosystems face the dangers of desertification.

Quantitative biology means exploiting mathematical modelling and computer simulation as a tool to gain additional insights into the meaning of experimental data. Discover in this minor when and how to apply these tools, in a multidisciplinary setting.

In this thesis, mathematical modeling and simulation was applied as a tool to inform quantitative decision making in oncology drug discovery and development.

In my research, we developed a method to distinguish knots. A knot is a mathematical depiction of the everyday knot that occurs in ropes and cords.

Statistical distributions in LCA and converting between different representations of these distributions.

Mechanical interactions between cells and their environment play an important role in many biological processes.

What happens to electrical waves that have to cross gaps in insulation material around nerves in the human body

In the traditional theory of linear elasticity, superposition dictates that the response of a material does not depend on the sequence of the applied mechanical actuations.

The main objective of this thesis was to develop clinically relevant survival models for patients with high-grade soft tissue sarcoma of the extremities, in particular the development and validation of prediction models for use in clinical practice.

This dissertation is about Bayesian learning from data. How can humans and computers learn from data?

Promotor: Prof.dr. T.H.W. Bäck

The research of the Applied Mathematics cluster is concerned with such diverse topics as dynamical systems, representation theory, differential equations and pattern recognition.

Promotores: Prof.dr. F.S. de Boer, Prof.dr. J.J.M.M. Rutten (Radboud Universiteit Nijmegen)

Quantum computing is an emerging technology, which holds the potential to simulate complex quantum systems beyond the reach of classical numerical methods.Despite recent formidable advancements in quantum hardware, constructing a quantum computer capable of performing useful calculations remains challenging.In…

Statistical considerations guide the design and implementation of the experiments that scientists perform. For instance, in a clinical trial about a the efficacy of a treatment, its effect in a certain minimum amount of patients has to be observed in order to make confident assertions about the efficacy…

Promotor: J. N. Kok, Co-promotor: A. J. Knobbe

In this thesis we study bistable reaction-diffusion equations on lattice domains.

Promotor: T. Schmidt

Promotor: W.Th.F. den Hollander Co-Promotor: F.M. Spieksma

Promotores: W. Th. F. den Hollander, M.O. Heydenreich

Promotor: Prof.dr. C.W.J. Beenakker

Promotores: C. J. ten Cate; M. A. Ainslie. Co-promotor: W. Slabbekoorn

Combinatorial games are games for two competing players, moving in a turn-by-turn fashion, in which there is no chance nor hidden information⁠. Chess, checkers and the simpler tic tac toe are well-known examples of this class of games, as well as game of go⁠.

One of the effects of climate change is the phenomenon of desertification, a process that occurs in semi-arid and arid areas and causes land degradation as well as vegetation loss. Due to the lack of resources, vegetation self-organizes to sustain itself by forming large-scale spatial patterns.

According to the amyloid cascade hypothesis, accumulation of beta-amyloid (Aβ) peptides initiates the pathological cascade in Alzheimer's disease (AD).

The main focus of this thesis is the behaviour of two-dimensional materials, namely (anti)-ferromagnetic materials in the first two chapters, which show topological phases, and energetic square ice in the third and fourth chapter.

The key purpose of this project is to study tautological relations on the level of closed differential forms or even integral cochains (i.e. we don't take classes in cohomology).

In this thesis,

Neurodegenerative diseases, including Parkinson’s disease (PD), are increasing in prevalence due to the aging population. Despite extensive study, these diseases are still not fully understood and the lack of personalised treatment options that can target the cause of the diseases, rather than the symptoms,…

Promotores: P. Stevenhagen, L. van Geemen (Università degli studi di Milano), Co-Supervisor: Ronald M. van Luijk

Promotores: H.W. Lenstra, K. Belabas (University of Bordeaux)

In analogy to mathematical proofs, the goal of a proof system is for a prover to convince a verifier of the correctness of a claim.