Multiscale Modeling and its Applications

This summer school is designed for advanced master students and PhD students. Students of, but not restricted to, (applied) mathematics, (bio)physics, engineering, neuroscience, and computer science will largely benefit from the school.

It is expected that the participants have a sufficient command of the English language to actively participate in the discussions and to present their own work in English.

The school will consist of 4 intensive mini-courses. The topics will cover:

1. Mathematical modeling and analysis
2. Numerical methods
3. Applications to biophysics
4. Applications to engineering

Apart from the lectures, students will be able to present a poster to engage into conversation with other attendants and the lecturers.

After this course you will be able to:

1. Understand the fundamental concepts and principles of multiscale modeling, including how to identify the relevant scales for a given problem and how to integrate different models.
2. Get acquainted with tools and techniques to apply multiscale modeling to real-world problems in various fields such as biology, chemistry, physics, and engineering.

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Workload & certificate

• Lectures: 18 hours
• Working groups: 6 hours
• Presentation: 3 hours

Upon successful completion of the programme, the Summer School offers a Certificate of Attendance that mentions the workload of 27 hours (28 hours corresponds to 1 ECTS). Students can apply for recognition of these credits to the relevant authorities in their home institutions, therefore the final decision on awarding credits is at the discretion of their home institutions. We will be happy to provide any necessary information that might be requested in addition to the certificate of attendance.

Prof. Christian Kühn, Ph.D.

Prof. Christian Kühn is a full professor at the Technical University of Munich, and leads the group of Multiscale and Stochastic Dynamics. The research interests of Christian Kühn lie at the interface of differential equations, dynamical systems and mathematical modelling. A key goal is to analyze multiscale problems and the effect of noise/ uncertainty in various classes of ordinary, partial, and stochastic differential equations as well as in adaptive networks. The phenomena of central interest are: patterns, bifurcations and scaling laws. On a technical level, Kühn's work aims to build bridges between different areas of the study of dynamical systems.

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Prof. Dr. Patrick Onck

Prof. Dr. Patrick Onck is a full professor at the university of Groningen. Research in the Onck group aims at understanding the micromechanical and functional behavior of (biological) materials based on an accurate description of the underlying (bio-) physical mechanisms. Computational techniques (e.g. molecular dynamics, finite element methods and solid-fluid interaction techniques) are being used to explicitly account for the physical mechanisms at the relevant length scales.

Primary focus at the moment is on:

1. Transport through the nuclear pore complex
2. Phase separation and aggregation of disordered proteins
3. Molecular chaperones in neurodegenerative diseases
4. Soft-robotic nature-inspired microswimmers and magnetic artificial cilia.

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Prof. Dr. Ute Ebert

Prof. Dr. Ute Ebert is the leader of CWI's research group Multiscale Dynamics, and also full professor of Applied Physics at Eindhoven University of Technology. While her group in Amsterdam develops analytical and computational models and model reduction techniques for pulsed gas discharges, the collaboration with experimental and applied research on the same topic in Eindhoven has led to many joint projects and publications since her appointment in Eindhoven in 2002. Current joint projects are financed by the EU and by NWO and concern lightning physics, high voltage technology in the context of electricity nets, and applications of pulsed plasmas in agriculture and combustion engines.

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Prof. Fabrizio De Vico Fallani

Prof. Fabrizio De Vico Fallani currently leads a multidisciplinary lab working on the analysis and modeling of brain functioning from a system perspective. Theoretical developments are in the field of network theory and signal processing adapted to neuroimaging data. Applications range from the study of brain diseases (eg, stroke, Alzheimer) to the development of brain-computer interfaces. In 2020 he was awarded an ERC Consolidator Grant by the European community. In 2018 he received the "Young investigator" award by the Complex Systems Society (CSS). In 2012 he received the "Young researcher" award and in 2009 the prize for the "best PhD thesis" by the National Group of Bioengineering (GNB).

Bernard Geurts holds the chair for Multiscale Modeling and Simulation in the Department of Applied Mathematics at the University of Twente.

His research interests are in mathematics, physics and numerics. He concentrates on multiscale problems in turbulence, in complex fluids and in biology. These have applications related to generation and storage of energy, monitoring and improving health and predicting human impact on the environment.

He also holds a part-time chair for Anisotropic Turbulence at Eindhoven University of Technology, which allows to complement the modeling and simulation work with detailed physical experiments.

Julian Koellermeier, University of Groningen

Dr. Julian Koellermeier is Assistant Professor in the Computational Mathematics group of the Bernoulli Institute within the Faculty of Science and Engineering and associated with the Groningen Cognitive Systems and Materials Center (CogniGron). Previously, he was a Marie-Curie postdoc at KU Leuven, and held positions at Peking University, and Free University Berlin. He obtained his PhD in Applied Mathematics from RWTH Aachen University.

Julian's research is interdisciplinary and situated at the interface of applied mathematics, numerical simulation, and computational engineering. He develops mathematical models and numerical simulations, e.g., for applications in rarefied gases, nuclear fusion, and geophysical flows.

To apply, kindly fill out the online application form. Please note that you will be asked to upload the following documents:

• Curriculum Vitae (max. 1 page)
• Motivation letter, clearly stating why you want to join this summer school, what you will bring to the school and what you hope to learn (max. 1 page)

The deadline for application is 31 May 2023. Selected applicants will be informed by 1 June 2023.