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Abstract

It is widely believed that the structure of neuronal circuits plays a major role in brain functioning. Although
the full synaptic connectivity for larger populations is not yet assessable even by current experimental
techniques, available data show that neither synaptic strengths nor the number of synapses per neuron
are homogeneously distributed. Several studies have found long-tailed distributions of synaptic weights
with many weak and a few exceptionally strong synaptic connections [1]. Little is known about how
inhomogeneities could arise in the developing brain and we hypothesize that there is a self-organizing
principle behind their appearance. We show how structural inhomogeneities can emerge by a
combination of simple synaptic plasticity mechanisms from an initially homogeneous network [2].
The neuronal dynamics in dissociated cultures is dominated by intermingled periods of very low and very
high activity, forming population bursts. Classical models of neuronal firing and plasticity are aiming at
capturing the asynchronous state devoid of such burst [3]. We discuss how the parameters of these
models shell be altered to obtain dynamics similar to hippocampal cultures. Along the way we discover,
that adaptation is required to capture the essential features of the neuronal dynamics.
What can be a goal-state of such adaptation and plasticities? We discuss the information-theoretical
evaluation of the development in dissociated cultures. We observe that information transfer and active
information storage increase with development beyond the bounds explained by the increase in rate.