| Full text | |
| Author(s): |
Total Authors: 3
|
| Affiliation: | [1] Univ Cambridge, Cavendish Lab, Cambridge CB3 0HE - England
[2] Univ Sao Paulo, Inst Fis Sao Carlos, BR-13560970 Sao Paulo - Brazil
[3] Natl Inst Sci & Technol Complex Syst, Sao Paulo - Brazil
Total Affiliations: 3
|
| Document type: | Journal article |
| Source: | NEW JOURNAL OF PHYSICS; v. 11, OCT 27 2009. |
| Web of Science Citations: | 4 |
| Abstract | |
Biological 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 two-dimensional (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. (AU) | |
| FAPESP's process: | 05/00587-5 - Mesh (graph) modeling and techniques of pattern recognition: structure, dynamics and applications |
| Grantee: | Roberto Marcondes Cesar Junior |
| Support Opportunities: | Research Projects - Thematic Grants |