abstract Luciano da Fontoura Costa

Investigating the relationship between structure and dynamics in complex neuronal networks

The relationship between structure and dynamics represents one of the most fundamental paradigms in nature and biology. In particular, the structure of the brain can be modeled at several space and time scales in terms of complex net-works (cortical areas giving rise to macroscopic networks, while neuronal networks yield microscopic networks). Once the topology of these networks have been inferred, it is possible to investigate its influence on the respective dynamics (and vice-versa) by assuming diverse putative models of dynamics. In this talk I will report recent related results including the relationship between degree and number of visits in random walks in directed networks as well as the investigation of transient synchronization of neuronal spiking (‘activation avalanches’) in terms of concentric characterizations of the topol-ogy of the networks with respect to specific nodes acting as source of activation.