@article{57721,
  author = {Carlo Laing and Ioannis Kevrekidis},
  title = {Equation-free analysis of spike-timing-dependent plasticity},
  abstract = { <p>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.</p> },
  year = {2015},
  journal = {Biological Cybernetics},
  volume = {109},
  number = {6},
  pages = {701-714},
  month = {12/2015},
  isbn = {0340-1200},
  language = {eng},
}