Topological analysis of the connectome of digital reconstructions of neural microcircuits

Abstract : A recent publication provides the network graph for a neocortical microcircuit comprising 8 million connections between 31,000 neurons [7]. Since traditional graph-theoretical methods may not be sufficient to understand the immense complexity of such a biological network, we explored whether methods from algebraic topology could provide a new perspective on its structural and functional organization. Structural topological analysis revealed that directed graphs representing connectivity among neurons in the microcircuit deviated significantly from different varieties of randomized graph. In particular, the directed graphs contained in the order of 107 simplices groups of neurons with all-to-all directed connectivity. Some of these simplices contained up to 8 neurons, making them the most extreme neuronal clustering motif ever reported. Functional topological analysis of simulated neuronal activity in the microcircuit revealed novel spatio-temporal metrics that provide an effective classification of functional responses to qualitatively different stimuli. This study represents the first algebraic topological analysis of structural connectomics and connectomics-based spatio-temporal activity in a biologically realistic neural microcircuit. The methods used in the study show promise for more general applications in network science.
Type de document :
Pré-publication, Document de travail
2016
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https://hal.inria.fr/hal-01261011
Contributeur : Pawel Dlotko <>
Soumis le : mardi 26 janvier 2016 - 16:26:15
Dernière modification le : samedi 18 février 2017 - 01:14:41

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  • HAL Id : hal-01261011, version 1
  • ARXIV : 1601.01580

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Pawel Dlotko, Kathryn Hess, Levi Ran, Henry Markram, Eilif Muller, et al.. Topological analysis of the connectome of digital reconstructions of neural microcircuits . 2016. <hal-01261011>

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