Topology and dynamics of neural networks

How does the mind emerge from the brain? While we may still be far from a fully satisfactory answer, neural-network models suggest possible mechanisms behind certain aspects of cognition, such as short- and long-term memory. In these models, the topology of the underlying networks and the systems' dynamical behaviour can affect each other in crucial ways. I will introduce such models, and give an overview of recent work on: the role of topology in pattern recognition; how short-term memory can ensue from particular network structures; the effect of trophic coherence on neuronal avalanches; and an explanation for the synaptic pruning characteristic of brain development.