Title
Equation-free analysis of spike-timing-dependent plasticity.
Abstract
Spike-timing-dependent plasticity is the process by which the strengths of connections between neurons are modified as a result of the precise timing of the action potentials fired by the neurons. We consider a model consisting of one integrate-and-fire neuron receiving excitatory inputs from a large number-here, 1000-of Poisson neurons whose synapses are plastic. When correlations are introduced between the firing times of these input neurons, the distribution of synaptic strengths shows interesting, and apparently low-dimensional, dynamical behaviour. This behaviour is analysed in two different parameter regimes using equation-free techniques, which bypass the explicit derivation of the relevant low-dimensional dynamical system. We demonstrate both coarse projective integration (which speeds up the time integration of a dynamical system) and the use of recently developed data mining techniques to identify the appropriate low-dimensional description of the complex dynamical systems in our model.
Year
DOI
Venue
2015
10.1007/s00422-015-0668-0
Biological Cybernetics
Keywords
Field
DocType
Spike-timing-dependent plasticity, Equation-free, Model reduction, Neuronal network
Synapse,Dynamical systems theory,Artificial intelligence,Spike-timing-dependent plasticity,Poisson distribution,Biological neural network,Neuron,Mathematics,Machine learning,Dynamical system,Plasticity
Journal
Volume
Issue
ISSN
109
6
1432-0770
Citations 
PageRank 
References 
0
0.34
17
Authors
2
Name
Order
Citations
PageRank
Carlo R. Laing129541.21
Ioannis G. Kevrekidis249474.95