Title
Development of Neural Network Structure with Biological Mechanisms
Abstract
We present an evolving neural network model in which synapses appear and disappear stochastically according to bio-inspired probabilities. These are in general nonlinear functions of the local fields felt by neurons--akin to electrical stimulation--and of the global average field--representing total energy consumption. We find that initial degree distributions then evolve towards stationary states which can either be fairly homogeneous or highly heterogeneous, depending on parameters. The critical cases--which can result in scale-free distributions--are shown to correspond, under a mean-field approximation, to nonlinear drift-diffusion equations. We show how appropriate choices of parameters yield good quantitative agreement with published experimental data concerning synaptic densities during brain development (synaptic pruning).
Year
DOI
Venue
2009
10.1007/978-3-642-02478-8_29
IWANN (1)
Keywords
Field
DocType
drift-diffusion equation,general nonlinear function,bio-inspired probability,biological mechanisms,critical case,appropriate choice,synaptic density,neural network structure,electrical stimulation,brain development,experimental data,synaptic pruning,mean field approximation,scale free,neural network,local field,stationary state
Brain development,Statistical physics,Mathematical optimization,Nonlinear system,Simulation,Computer science,Homogeneous,Mechanism (biology),Artificial neural network,Stationary state,Energy consumption,Synaptic pruning
Conference
Volume
ISSN
Citations 
5517
0302-9743
0
PageRank 
References 
Authors
0.34
5
4
Name
Order
Citations
PageRank
Samuel Johnson141.23
Joaquín Marro2113.75
Jorge F. Mejías3385.30
Joaquín J. Torres414219.57