Sunil Modhara (University of Nottingham, United Kingdom), Stephen Coombes (University of Nottingham, United Kingdom), Ruediger Thul (University of Nottingham, United Kingdom), Daniele Avitabile (Vrije Universiteit Amsterdam, Netherlands)
This session approaches mathematical neuroscience from a number of different perspectives, bringing together clinically motivated topics, neural field-type models, and a model of neuronal beat generation. Common to all talks is the idea of using non-linear dynamical systems techniques to further our understanding of the brain. From individual neurons and networks, to sub-structures such as the thalamus, and finally to the brain as a whole, neural modelling is inherently a multiscale discipline. The models to be discussed in this mini- symposium exemplify this broad spectrum, with single-cell interactions at the synapse, single beat generator neurons, and mutations of ion channels at smaller spatial scales, to mean field models at the larger spatial scale. Topics considered in this session include rhythmogenesis and entrainment, conductance-based modelling, non-smooth dynamical systems, learning, synchronisation, bistable systems, and bifurcation analysis.