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How does one infer the dynamics of a DNA minicircle in solution? How does one align the neuronal firing patterns of several neurons across individuals? These questions are intrinsically statistical, but nevertheless escape the traditional tools of statistics. The ComplexData project investigated such questions from a mathematical and an applied context.
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.
Prof. Gregoire Courtine believes paralysed patients will be able to walk again. This belief has represented the focus of years of work aimed at regenerating the functions of the spinal cord after injury. Thanks to his ERC funding in both 2010 and 2015, Prof. Courtine and his team have been able to develop so-called “personalised neuroprosthetics” that have led immobile rats, and more recently monkeys, to overcome their paralysis.
If Darwin could have scuba dived, he would have enjoyed the East African lakes: Victoria, Malawi and Tanganyika. Here live the cichlids – a colourful fish which has evolved rapidly into thousands of species, emulating and surpassing Darwin's finches in the Galapagos. Prof. Walter Salzburger, an Austrian researcher, is using his ERC grants to study the diversity of cichlids from ecological, morphological and genetic viewpoints. He believes these unique fish provide an ideal model system to understand the "how" and the "why" in questions of evolutionary biology: questions that relate to all life on earth.
Mathematics might seem like an abstract discipline, remote from real-world applications but their equations can significantly help understand and simulate the functioning of nature. Professor Alfio Quarteroni of the École Polytechnique Fédérale de Lausanne (EPFL, Switzerland) is leading the Mathcard project in developing mathematical models of the blood flow in our cardiovascular system. On the occasion of World Heart Day, he explains how his project could help surgeons and save lives.