Krasimira Tsaneva-Atanasova visits from the University of Exeter and gives Colloquium Talk

Krasimira Tsaneva-Atanasova, Professor of Mathematics, Vice President, and Deputy Vice-Chancellor (Research and Impact) at the University of Exeter, visited the School on Friday 9th May. Her visit was hosted by the Interface Mathematics Group. Her research addresses open questions in Health and Life Sciences by means of mathematical modelling and analysis including dynamical systems and advanced data analytics. In the afternoon she gave a colloquium talk on “Saddle-Node Separatrix-Loops in Action: Unravelling Dynamics in Neuronal Networks“. In her talk, she employed computational modelling and analysis to investigate the effects of dynamic inputs on GnRH pulse generator activity. Her analysis highlighted the significance of saddle-node separatrix-loops in influencing the dynamics. A particular codimension-three case is the non-central SNICeroclinic bifurcation (see reference below). She demonstrated that this bifurcation, which has largely remained unexplored in applications, can serve as a central organising point for transitions between different types of saddle-node and saddle separatrix loops. Reference: Nechyporenko, Ashwin, and Tsaneva-Atanasova (2024), arXiv:2412.12298. Photo credit: Werner Bauer.