Can the (industrial) herbal extraction process be mathematically described and can this model be used to optimize the extraction in terms of quality and economical parameters?

In this project, we aim to develop mathematical models to mechanistically and quantitatively predict the dynamics of cellular stress pathway activation and its relation with toxic effects when cells are exposed to various toxicants.

Science, Mathematical Institute (MI)

Science, Leiden Academic Centre for Drug Research (LACDR)

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.

Cellular stress response pathways are activated upon exposure to chemicals and help organisms deal with various molecular dangers (e.g. oxidative stress). When these pathways become hyper-activated an adverse response takes place and cells die, which may lead to organism-level toxicity such as drug-induced…

Systems pharmacology aims to apply techniques from systems biology to pharmacological models.

Electrical signals travel like a wave through our neural pathways. The mathematical models for these movements could not yet properly describe all the biological properties of the nerves. PhD student Willem Schouten-Straatman changed this by improving the existing models. ‘I hope that one day we will…

Do medicines arrive in the right amount at the right spot in our brain? By making a model that depicts our brain in small 'brain blocks', Esmée Vendel tries to find an answer to this question. Her new, mathematical model predicts the concentration of medicines in the brain over time and space. Vendel…

Can we establish a new quality control system for herbal medicines that is based on bioactivity rather than a few abundant chemicals?

Many organisations have a biased workforce, even though diversity has so many advantages. Australian and Dutch researchers, including Leiden psychologist Romy van der Lee, have developed a solution based on a mathematical model. They published their findings in PLoS One on 28 July.

The availability of complete plant genome sequences together with the ever increasing amount of data on the molecular, cellular and physiological mechanisms of plant development require mathematical and computational models to obtain a complete overview of and generate new insights into the quantitative…

Mathematical models of software systems enable characterizations, abstractions, simulations, and analysis of complex software during its development.

Mathematical biologists from Leiden have developed a model that helps to explain how the spine and vertebrae, among other things, form during embryonic development. The same process, the other way around, plays a key role in cancer metastasis. Publication in iScience.

Classical mathematical models treat space and time as a continuum, while it is sometimes more useful to regard it as granular. Hupkes is studying what this means for a number of important patterns that are often found in computer calculations and in nature.

PhD candidates carry out a programme of independent research, leading to a PhD thesis in typically 4 years.

Mathematics forms the basis of many innovations in technology, the service industry and science, such as data analysis and coding, artificial intelligence, weather or climate change modelling or understanding molecular processes. The researchers from the Mathematical Institute (MI) are constantly developing…

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

How does the extracellular matrix coordinate endothelial cell behavior during angiogenesis, and how do metabolic waste-products and matrix-degrading enzymes produced by the tumour modify the extracellular matrix so as the change the cellular coordination?

The master’s programme Mathematics at Leiden University focuses on analysis, probability and statistics, number theory and (arithmetic) geometry. It offers five specialisations ranging from Applied Mathematics to Mathematics and Business Studies.

As a Mathematics student, you will learn to solve complex problems in creative ways using logical thinking and mathematical structures. A Mathematics degree will open many doors for you in society.

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

The Mathematical Institute is responsible for the research and education in mathematics and statistics at Leiden University.

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

This study looks at the question of how and at what level students in primary teacher education can integrate theory and practice, and how the organisation of their learning environment, focusing especially on mathematics and pedagogy, can contribute to that.

The master’s specialisation Mathematics and Education at Leiden University prepares students to teach the subject of mathematics to secondary school students. The programme comprises a one-year mathematics component, followed by an education component in the second year.

The master's specialisation Applied Mathematics at Leiden University focuses on both computational and fundamental aspects of analysis and probability. It’s also an ideal basis for a PhD degree. Applied Mathematics is an excellent choice if you have the aspiration to pursue a PhD degree

Science, Mathematical Institute (MI)

Perform cutting-edge research in the area of the STAR mathematics cluster.

The master’s specialisation Mathematics and Science Based Business at Leiden University bridges science and business development by focusing on areas such as technology management, innovation, entrepeneurship, operations, and decision making.

Science, Mathematical Institute (MI)

This is a research project on the implementation of national mathematics curriculum reform in Chinese junior high school. The research is expected to provide insight into the ways and reasons of mathematics teachers in Chinese junior high school for implementing national curriculum reform.

The master’s specialisation Mathematics and Science Communication and Society at Leiden University bridges the gap between experts and the public by combining high quality research in mathematics with extensive training in science communication.

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

Promotor: A.W. van der Vaart

Novel methods for understanding key aspects that are essential to the future of Bayesian inference for high- or infinite-dimensional models and data.

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.

Promotor: Roeland M.H. Merks

This computational approach to the complexity of text comprehension is useful for describing the cognitive processes involved.

Existing work in probabilistic language modeling can be mostly divided into two categories:

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)

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

Promotor: Prof.dr. E. Deprettere

Science, Institute of Environmental Sciences (CML)

Main challenges in skin vaccination are overcoming the stratum corneum (SC) barrier and targeting the antigen presenting cells (APC) in the epidermis and the dermis.

Promotores: Prof.dr. P.C.W. Hogendoorn & Prof.dr. H.P. Spaink, Co-promotor: Dr. B.E. Snaar-Jagalska

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

... which build on self-regulation and stress-regulation theories and considers the modification of cognitions as a mediator of therapeutic change.