Mathematical tools for analyzing systems of Ordinary Differential Equations
This was the topic for a department colloquium given by Professor Carsten Wiuf on 25. January at the department of mathematics at the University of Bergen. Wiuf is professor at the University of Copenhagen, where he co-leads the group “Mathematics of reaction networks” at the department of Mathematical Sciences. His main research fields are applications of mathematics, probability and statistics in the biosciences, and to develop mathematical and statistical theory for biological phenomena.
Photo: Rune Kleppe
Wiuf was invited as a guest of the dCod1.0 project where he took part in fruitful discussions about modelling of biochemical networks in addition to giving the department colloquium. In his talk he discussed mathematical methods for analyzing systems of ODEs with respect to properties of biological relevance - such as persistence (non-extinction), switching behavior and multistationarity without having to fix parameters or perform numerical analysis. The methods presented use many areas of mathematics, such as graph theory, dynamical systems theory and algebraic geometry.
Carsten Wiuf talking about his dream goal in analyzing systems of ODEs from biology. Photo: Rune Kleppe