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2015 ; 9
(ä): 76
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The effects of neuron morphology on graph theoretic measures of network
connectivity: the analysis of a two-level statistical model
#MMPMID26113811
A?imovi? J
; Mäki-Marttunen T
; Linne ML
Front Neuroanat
2015[]; 9
(ä): 76
PMID26113811
show ga
We developed a two-level statistical model that addresses the question of how
properties of neurite morphology shape the large-scale network connectivity. We
adopted a low-dimensional statistical description of neurites. From the neurite
model description we derived the expected number of synapses, node degree, and
the effective radius, the maximal distance between two neurons expected to form
at least one synapse. We related these quantities to the network connectivity
described using standard measures from graph theory, such as motif counts,
clustering coefficient, minimal path length, and small-world coefficient. These
measures are used in a neuroscience context to study phenomena from synaptic
connectivity in the small neuronal networks to large scale functional
connectivity in the cortex. For these measures we provide analytical solutions
that clearly relate different model properties. Neurites that sparsely cover
space lead to a small effective radius. If the effective radius is small compared
to the overall neuron size the obtained networks share similarities with the
uniform random networks as each neuron connects to a small number of distant
neurons. Large neurites with densely packed branches lead to a large effective
radius. If this effective radius is large compared to the neuron size, the
obtained networks have many local connections. In between these extremes, the
networks maximize the variability of connection repertoires. The presented
approach connects the properties of neuron morphology with large scale network
properties without requiring heavy simulations with many model parameters. The
two-steps procedure provides an easier interpretation of the role of each modeled
parameter. The model is flexible and each of its components can be further
expanded. We identified a range of model parameters that maximizes variability in
network connectivity, the property that might affect network capacity to exhibit
different dynamical regimes.