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.

Systems with local constraints is a new finding in recent researches on complex systems. The heterogeneous spatial interactions and the temporal dependencies among those numerous units make it difficult to describe by traditional statistical physics.

Na afronding van deze opleiding beschik je over een eerstegraads onderwijsbevoegdheid en ben je goed voorbereid op een carrière als docent wiskunde in het voortgezet onderwijs.

Deze opleiding biedt de mogelijkheid top onderzoek in de wiskunde te combineren met ondernemerschap, technologie management, innovatiebeheer en besluitvorming in het bedrijfsleven.

Deze opleiding bereidt je voor op een rol als verbindende schakel tussen wetenschap en de samenleving. Je verwerft de kennis en vaardigheden waarmee je andere wetenschappers en leken kunt informeren over belangrijke wetenschappelijke ontwikkelingen in jouw vakgebied.

Het onderzoeksprogramma Statistical Science houdt zich bezig met de analyse en interpretatie van grote hoeveelheden data, de kwantificering van onzekerheid met behulp van kansmodellen en de ontwikkeling en benchmarking van algoritmen en methoden gericht op dataonderzoek.

Deze tweejarige opleiding heeft twee componenten. De eerste is een meer analysegerichte component, met onderwerpen als dynamische systemen, differentiaalvergelijkingen, kansrekening en stochastiek, percolatie of wiskunde in de life sciences. De andere betreft een meer algebra- of meetkundegerichte component,…

Promotores: J.C. van Houwelingen, S.A. van de Geer

Promotor: R.D. Gill, F. Taroni

Deze opleiding is gericht op zowel computationele als fundamentele aspecten van de wiskunde zoals dynamische systemen, differentiaalvergelijkingen, kansrekening en stochastiek en de toepassing van wiskunde in de life sciences.

Wetenschappelijke staf van het Mathematisch Instituut organiseert meerdere keren per jaar het General Mathematics Colloquium.

In this thesis, we examine various systems through the lens of several numerical methods.

Explaining treatment response variability between and within patients can support treatment and dosing optimization, to improve treatment of individual patients.

This thesis develops statistical methods for the analysis of high dimensional data: high dimensional networks reconstruction (Chapters 1-4), incorporation of prior information in networks reconstruction (Chapters 2-4), incorporation of prior knowledge in genetic association studies (Chapter 3).

We strive to address the challenge of constructing a modeling language to write software which can take advantage of recent hardware developments (multicore, cloud) without compromising in its abstraction levels.

This dissertation studies the Asymptotics of Bayesian nonparametric inference for Gaussian linear models.

Promotor: F.H.J. Redig, Co-Promotor: W.T.F. den Hollander

Promotor: Prof.dr. E. Deprettere

Promotor: Prof.dr. J.N. Kok, Co-promotor: F.J. Verbeek

In this thesis, we extend the concept of null models as canonical ensembles of multi-graphs with given constraints and present new metrics able to characterize real-world layered systems based on their correlation patterns.

Wiskunde en Natuurwetenschappen, Mathematisch Instituut (MI)

Promotor: Prof.dr. F.S. de Boer, Co-promotor: D. Clarke

Promotor: Prof. dr. A.G.G.M. Tielens

Het onderzoek gaat over de vraag op welke wijze en op welk niveau studenten van de opleiding voor leraar basisonderwijs theorie en praktijk kunnen integreren en hoe de inrichting van hun leeromgeving, toegespitst op het vak rekenen-wiskunde en didactiek, daaraan kan bijdragen.

In surface science there is great effort to move from studying simple, flat model surfaces in vacuum to investigating more complex model catalysts in gas environments (in situ). This thesis gives three examples of such studies using microscopy and spectroscopy.

Promotor: P.D. Grünwald

Accurate prediction of the unbound drug concentration-time profile at the CNS target site is crucial for the assessment of the right drug concentration-effect relationship. PBPK models have supported the PK prediction of the CNS target sites and the translation of PK data between species and between…

There is a need for alternative methods to replace, reduce and refine (3R) animal experimentation. Combining experimental data from high-throughput in vitro studies with in silico modeling is a promising approach to unravel the effect of chemicals on living cells and to gain a better understanding of…

Promotor: Prof.dr. F. den Hollander, G.Maillard

In this thesis we study quantum transport phenomena on the nanometer scale, in two classes of materials: topological insulators with induced superconductivity and graphene superlattices.

Promotor: Prof.dr. J.N. Kok

To improve cancer treatments, personalized medicine approaches have aimed to identify exactly which mutations are driving tumor development in a given patient and specifically target these mutations using precision therapies.

Promotor: Roeland M.H. Merks

Cholesterol influences many pathways, including serving as precursor for adrenal steroidogenesis. Imbalance of cholesterol levels has been implicated in several diseases including cardiovascular diseases and its underlying pathology, atherosclerosis.

Promotores: J. Kok, M. Chaudron (Chalmers University)

This thesis focuses on two processes involved in fighting infections: metabolism and immune cell motility and navigation.

Cardiovascular diseases are still a major concern for the global health.

Description of Biotic ligand models: making an inventory of available models & assessment of the variability of the predicted HC5 using the BLMs in different Dutch water types (2005 - 2007)

Pharmaceutical companies, governments and the general public have become increasingly aware that animal models used in drug testing lack vital aspects to serve as an accurate representation of human biology. As models of the human body should become more physiologically relevant, animal models no longer…

Stochastic resetting is simple enough to be approached analytically, yet modifies stochastic processes in a non-trivial way.

The emergence of complex diseases resulting from abnormal cell-cell signaling and the spread of infectious diseases caused by pathogens are significant threats to humanity. Unraveling the dynamic mechanisms underlying cell-cell signaling and infectious disease spreading is crucial for effective disease…

Gibbs measures, as used in Statistical Mechanics, have a definition that is remarkably similar to the definition ofg-measures, used in dynamical systems.

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.

Promotor: Prof.dr. M. Danhof, Co-Promotor: J. de Jongh

Model based approaches, integrating physiological parameters or linking exposure with response, are powerful tools to quantify and evaluate the impact of genetic differences that are reflected as variability of drug exposure and/or clinical response(s). This thesis “Pharmacogenomics in Drug Development: …

We describe certain birational modifications of nodal relative curves over a regular base of arbitrary dimension.

In 2016 hebben Universitaire Medische Centra (UMC's) van Nederland de zelfevaluatie-tool ontwikkeld gebaseerd op het PhD Competence Model. Onze partners van de Universiteit Utrecht stellen een digitale versie van de tool kosteloos beschikbaar voor onze promovendi binnen de Universiteit Leiden, ook voor…

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

Real-life processes are characterized by dynamics involving time. Examples are walking, sleeping, disease progress in medical treatment, and events in a workflow.

This thesis focuses on the role of chemokine receptors CXCR3 and CCR2 in the inflammatory process and infection control using the zebrafish model.