Cortex: Statistics and Geometry of Neuronal Connectivity

By Prof. Dr. Valentino Braitenberg, Prof. Dr. Almut Schüz. 1998

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In Neuroscience

Citations in the corpus

A Constructive Mean-Field Analysis of Multi-Population Neural Networks with Random Synaptic Weights and Stochastic Inputs (2008, neutral): “Statistical properties of the connectivities have been studied in details for instance in [8].”
Direct activation of sparse, distributed populations of cortical neurons by electrical microstimulation. (2009, background): “The maximal radius of basal dendrites is typically 100 mm, while axons can extend 500 mm or more (Braitenberg and Schüz, 2001).”
Heterogeneity in oscillator networks: are smaller worlds easier to synchronize? (2003, background): “Most work has dealt with synchronization of oscillators whose topology of interaction has either the SF or SW [2, 17, 18, 19, 20, 21, 22, 23] property, showing that it leads to improved synchronizability when compared to local lattice topology.”
Complex brain networks: graph theoretical analysis of structural and functional systems (2009, background): “…29 . neurons and brain regions that are spatially close have a relatively high probability of being connected, whereas connections between spatially remote neurons or brain regions are less likely 30–32 . longer axonal projections are more expensive in terms of their material and energy costs 33 .”
Cortex and Memory: Emergence of a New Paradigm (2009, background): “Braitenberg and Schüz (1998) argued that some long fibers (e.g., corticocortical) may actually shorten the effective connectivity within networks.”
Handbook of ion channels (2015, background): “Nine out of every 10 synapses in the brain are excitatory (Braitenberg and Schuz, 1998).”
Appraising the brain's energy budget (2002, background): “This focus would seem reasonable, considering that greater than 80% of neurons are excitatory and greater than 90% of synapses release glutamate (6, 7).”
Spiking activity propagation in neuronal networks: reconciling different perspectives on neural coding (2010, background): “and that individual neurons are exposed to inputs from large numbers of other neuron”
Chronic neural recording using silicon-substrate microelectrode arrays implanted in cerebral cortex (2004, background): “Making a first-order assumption of cell densities in human cortex [ 35 ], this tissue displacement would involve approximately 50 neurons and 40 000 synapses for this type of silicon probe and approximately 1600 neurons and 1 280 000 synapses for this type of microwire array.”
Saturated Reconstruction of a Volume of Neocortex. (2015, background): “This idea underpins theoretical approaches to understanding the brain (Braitenberg and Schuz, 1998; da Costa and Martin, 2013).”
Diversity and dynamics of dendritic signaling. (2000, background): “Generating and maintaining these elaborate structures, which occupy a large proportion of our brains (1), is energetically costly (2), implying that their presence is worth this cost.”
Synaptic energy use and supply. (2012, unknown): “Another argument for having a low release probability to reduce energy use depends on the fact that a cortical neuron typically receives about 8,000 synapses on its dendritic tree (Braitenberg and Schüz, 1998).”
Cortical High-Density Counterstream Architectures (2013, background): “Could similar weight-distance relations operate for single neurons, thereby suggesting a similar operational logic over different scales? Like interareal connectivity, local connectivity shows an exponential density decay (10), reflecting the decrease in the likelihood of synaptic contact with dista”