Image Database Export Citations


Connectivity and Dynamics of Neuronal Networks as Defined by the Shape of Individual Neurons

Show full item record

Type: Working Paper
Author: Ahnert, Sebastian; da Fontoura Costa, Luciano
Date: 2008
URI: https://hdl.handle.net/10535/4511
Sector: Theory
Subject(s): complex systems
Abstract: "Neuronal networks constitute a special class of dynamical systems, as they are formed by individual geometrical components, namely the neurons. In the existing literature, relatively little attention has been given to the influence of neuron shape on the overall connectivity and dynamics of the emerging networks. The current work addresses this issue by considering simplified neuronal shapes consisting of circular regions (soma/axons) with spokes (dendrites). Networks are grown by placing these patterns randomly in the 2D plane and establishing connections whenever a piece of dendrite falls inside an axon. Several topological and dynamical properties of the resulting graph are measured, including the degree distribution, clustering coefficients, symmetry of connections, size of the largest connected component, as well as three hierarchical measurements of the local topology. By varying the number of processes of the individual basic patterns, we can quantify relationships between the individual neuronal shape and the topological and dynamical features of the networks. Integrate-and-fire dynamics on these networks is also investigated with respect to transient activation from a source node, indicating that long-range connections play an important role in the propagation of avalanches."

Files in this item

Files Size Format View
morph_nets.pdf 367.4Kb PDF View/Open

This item appears in the following document type(s)

Show full item record