A map of the human brain and better math for curvature problems
Knowing an environment and finding the best route: they are more important than you might think. They could give insight into more efficient logistics, and even advance complex health research. For example, a map of brain networks could help in understanding neurological disorders. And in the brain, as in many other structures across the sciences, there are complex mathematical curvatures to account for. To fund research in both domains the Dutch Research Council (NWO) awards a Vidi to Borbála Hunyadi and Richard Kraaij. Navigating the realm of neurological disorders Dr. Borbála Hunyadi is part of the Signal Processing Systems Group. Her research expertise includes signal processing and machine learning for biomedical pattern recognition, and this research project fits in perfectly with her expertise. “We orient ourselves in the physical world using maps”, Bori explains. This project is also focused on creating a map, but a map of the networks in the human brain. “I am developing a map to navigate the realm of neurological disorders. First, I will develop computer-based methods to describe the properties of brain networks of individual patients. Using these properties – known as biomarkers - I will locate them on the map. On one hand, the biomarkers give important insights into mechanisms underlying neurological disorders. On the other hand, the map will help clinicians make accurate diagnoses and optimize treatment planning.” Using math to optimize curvature problems Dr. Richard Kraaij is part of the Applied Probability Group. His focus is on the intersection of probability theory, non-linear functional analysis, and the mathematical foundations of control theory. “Finding the fastest path to fly from Amsterdam to San Francisco leads you over Greenland”, Richard illustrates. “On the world map this looks like a curved path, a consequence of the Earth being a sphere.” To efficiently solve dynamic optimization problems in various fields, whether it is in physics or economics, it is therefore important to first find what is the curvature underlying the problem you are trying to solve. Using curvature-based methods will help to find efficient solution methods. “In this project, we develop a mathematical framework to solve optimization problems where one has to account for curvature”, Richard concludes. Vidi Grant The Vidi grant is designed for researchers transitioning into leadership roles, whether they are establishing a new research group or expanding a recently formed one. It supports the researcher’s development in these areas. The grant targets individuals whose academic achievements clearly surpass the norm and who demonstrate strong leadership and mentorship potential. Recipients can receive up to 850,000 euros to support their work.
