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Once limited to modelling physical problems in engineering, today Partial Differential Equations (PDEs) are used by a diverse array of fields, from natural resources to meteorology, aeronautics, oil and gas and biomedicine – to name only a few. But key mathematical issues remain unsolved, particularly when addressing their control, a must in technological transfer. The ERC-funded DYCON project aims to find answers.
Funded by the ERC, Prof. Anna Wienhard studies several new geometric forms that have been discovered over the past 20 years. These structures are closely related to the generalisation of Teichmüller space, which describes how the surface of a pretzel can be endowed with the geometry of an Escher painting.
How do you study arithmetic objects like integer points using the theory of dynamical systems? The answer is homogenous dynamics, and this connection goes both ways. The GMODGAMMADYNAMICS project, funded by an ERC grant, took a broad approach towards studying this rich interplay.
Chaotic systems are everywhere: the weather, molecules in a gas, the stock market. Small variations in initial conditions can lead to a drastically different time evolution, a phenomenon known as the butterfly effect. Systems can be classified according to how fast different, nearby initial conditions diverge in time. Supported by the ERC, Prof. Corinna Ulcigrai is investigating systems for which nearby initial conditions diverge slowly in time, to uncover mechanisms which explain their complex behaviour.
Being able to generate human tissue in vitro in a dish is expected to revolutionise biomedical research. European researchers generated brain organoids to study the mechanisms of various neurological disorders and discover novel drugs to treat them.
CRISPR is a widely used molecular biology tool exploiting an immune process discovered in bacteria. Dr David Bikard studies CRISPR in bacterial cells, in conjunction with different DNA repair systems, to create even newer tools. He hopes to gain insight into bacterial genetics, and develop increasingly effective medical treatments.
Originally from Gijón (Spain), Prof. Eva Hevia is Professor of Inorganic Chemistry at the University of Strathclyde, in Glasgow (UK). First an Erasmus student, then a recipient of both Marie Skłodowska-Curie and ERC grants, she believes that each of these three EU funding schemes has represented a milestone at different stages of her career and has paved the future of her research.
Epithelial tissues cover all body surfaces and line most of our organs, internal cavities and passageways, including the digestive tract. Prof. Elena Martínez is engineering intestinal epithelial tissues that mimic the physiological characteristics of human intestinal tissue with the aim of advancing the in vitro modelling of diseases, the preclinical screening for drug efficacy and toxicity, and the understanding of organ development.
Nature is a major source of inspiration for scientists. ERC grantee Giulia Lanzara is one of them. The unique sensing and shaping abilities of birds, dolphins and other living creatures inspired her to engineer novel multifunctional materials which could make a difference in a wide variety of industrial fields.
Originally published in May 2015
Updated in July 2018
With an aging population, Europe sees a rapid increase in the number of people affected by visual disorders requiring surgical intervention. Building on the recent advances in robotic assistance in surgery as well as in precisely targeted drug delivery therapies, Prof. Bradley Nelson has designed innovative microrobotics tools to overcome the particular difficulty of manual-performed eye surgery.