KO-10   Wednesday July 10 - 08:45

MS26 Part 1 of 2 - Mathematical Neuroscience

MS26 Part 2 of 2

Compared to many other areas of applied mathematics, the field of mathematical neuroscience is in its infancy. This mini-symposium will introduce some of the challenges and hot-topics in this field and show how these can be tackled using techniques drawn from a wide variety of mathematical disciplines including the biophysical modelling of neural tissue, the nonlinear dynamics of coupled oscillator networks, singular perturbation methods for slow–fast dynamics, delay differential equations, non-smooth systems, pattern formation in non-local systems, and data assimilation to name just a few. The aim of this mini-symposium is to raise the profile of mathematical neuroscience within the Equadiff community, and encourage more mathematicians to contribute to this exciting field.

Stephan van Gils
Stephen Coombes

08:45 - 09:15 - Roland Potthast - Data Assimilation and Kernel Reconstruction for Neural Field Dynamics [Abstract]

09:15 - 09:45 - Antoni Guillamon - Quasi-periodic perturbations of heteroclinic attractor networks in models of bistable perception [Abstract]

09:45 - 10:15 - Andrey Shilnikov - Mathematical models of rhythm-generating circuits [Abstract]

10:15 - 10:45 - Peter Ashwin - Computational properties of excitable network attractors [Abstract]