Michael Rudolph
THEORETICAL PHYSICS • DISCRETE MATHEMATICS
Complexity in neuronal networks

Y. Frégnac, M. Rudolph, A.P. Davison, A. Destexhe

In: Biological Networks
F. Kepes (Ed.)
World Scientific: 291-340, 2007

Abstract

The brain can be thought of as a collective ensemble ranging in the spatial domain from microscopic elements (molecules, receptors, ionic channels, synapses) to macroscopic entities (layers, nuclei, cortical areas, neural networks). The same multi-scale analysis can be replicated in the temporal domain, when decomposing brain activity in a multitude of dynamic processes with time constants ranging from microseconds (molecule transconformation, channel opening) to years (postnatal cell replacement, for example in the bird song system; long-term memories, for example in vertebrate hippocampus). A tantalising challenge to the field of system and computational neuroscience is to bind in a coherent way these different hierarchies of organisation on the basis of experimentally defined descriptors, each of which is endowed with a specific spatio-temporal domain and measurement precision.