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Understanding complex structures means separating irrelevant information to get to something simpler and easier to understand. When you look at something from a distance – although you don’t see all the details, you can still describe what you see. ERC grantee Balázs Szegedy has developed several mathematical tools for providing a compressed yet useful view of complex structures.
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.
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.