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A model for correlation detection based on Ca2+concentration in spines
BMC Neuroscience volume 8, Article number: P192 (2007)
Understanding the mechanisms of correlation detection between pre- and postsynaptic activity at a synapse is crucial for the theory of Hebbian learning and development [1, 2] of cortical networks. The calcium concentration in spines was experimentally shown to be a correlation sensitive signal confined to the spine: A supralinear influx of calcium into spines occurs when presynaptic stimulation precedes a backpropagating action potential within a short time window. The magnitude of the influx depends on the relative timing tpost-tpre . There is strong evidence that NMDA (N-methyl d-aspartate) receptors are responsible for the supralinear effect . Previous simulation studies relate the occurrence of spike time dependent plasticity to this calcium signal [4, 5]. However, these simulations mainly focus on pairs and triplets of pre- and postsynaptic spikes, rather than on irregular activity. Here, we investigate the properties of a biologically motivated model for correlation detection based on the calcium influx through NMDA receptors under realistic conditions of irregular pre- and postsynaptic spike trains with weak correlation. We demonstrate that a simple thresholding mechanism acts as a sensitive correlation detector robustly operating at physiological firing rates. We identify the regime (rate, correlation coefficient, detection time) in which this mechanism can assess the correlation between pre- and postsynaptic activity. Furthermore, we show that correlation controlled synaptic pruning acts as a mechanism of homeostasis, and that cooperation between synapses leads to a connectivity structure reflecting the spatial correlations in the input. The detector model allows for a computationally effective implementation usable in large-scale network simulations. On the single synapse level most of the results are confirmed by an analytical model.
Le Be JV, Markram H: Spontaneous and evoked synaptic rewiring in the neonatal neo-cortex. Proc Natl Acad Sci USA. 2006, 103 (35): 13214-13219. 10.1073/pnas.0604691103.
Rumpel S, Hatt H, Gottmann K: Silent synapses in the developing rat visual cortex: Evidence for postsynaptic expression of synaptic plasticity. J Neurosci. 1998, 18 (21): 8863-8874.
Nevian T, Sakmann B: Single spine Ca2+ signals evoked by coincident epsps and backpropagating action potentials in spiny stellate cells of layer 4 in the juvenile rat somatosensory barrel cortex. J Neurosci. 2004, 24 (7): 1689-1699. 10.1523/JNEUROSCI.3332-03.2004.
Rubin JE, Gerkin RC, Bi G-Q, Chow CC: Calcium time course as a signal for spike-timing-dependent plasticity. J Neurophysiol. 2005, 93: 2600-2613. 10.1152/jn.00803.2004.
Saudargine A, Porr B, Worgotter F: Local learning rules: predicted influence of dendritic location on synaptic modification in spike-timing-dependent plasticity. Biol Cybern. 2005, 92 (2): 128-138. 10.1007/s00422-004-0525-z.
Partially funded by DIP F1.2, BMBF Grant 01GQ0420 to the Bernstein Center for Computational Neuroscience Freiburg and EU Grant 15879 (FACETS).
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Helias, M., Rotter, S., Gewaltig, M. et al. A model for correlation detection based on Ca2+concentration in spines. BMC Neurosci 8, P192 (2007) doi:10.1186/1471-2202-8-S2-P192
- Spike Train
- Hebbian Learning
- Short Time Window
- Postsynaptic Activity
- Dependent Plasticity