Abbreviated STDP. Sometimes the relative timing of spikes can induce LTP or LTD. For example, Bi and Poo found that in hippocampal glutamatergic synapses, if a presynaptic spike arrives shortly before a postsynaptic spike, the synapse is strengthened (LTP). If a presynaptic spike arrives shortly after a postsynaptic spike, the synapse is weakened (LTD).
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Quantitative Characterization
Bi an Poo have presented equations that characterize this behavior. Let
$\tau = t_{post} - t_{pre}$, the elapsed time between the presynaptic and postsynaptic spikes. Let $a_P$ and $a_D$ be constants. Let $g$ be the synaptic conductance. Let $\beta_P = \frac{1}{16.8}$ ms, and let $\beta_D = \frac{1}{33.7}$ ms. Now,
When $\tau > 0$,
$\frac{\delta g}{g} = a_P e^{\beta_P \tau}$
When $\tau < 0$,
$\frac{\delta g}{g} = -a_D e^{\beta_D \tau}$.
Models of STDP
Phenomenological models
Biological models
Uncategorized models
Models using STDP
Functions
STDP could do all sorts of things. But so far, theorists have used STDP for synaptic normalization, temporal pattern learning, and the formation of synchronizized neural ensembles. See also
Papers
Review papers
Functions
References
- Guo-Qiang Bi and Huai-Xing Wang. Temporal asymmetry in spike timing-dependent synaptic plasticity, Physiology & Behavior. Volume 77, Issues 4-5, December 2002, Pages 551-555. (2002)
- Gerardina Hernández, Jonathan Rubin and Paul Munro. The effect of spike redistribution in a reciprocally connected pair of neurons with spike timing-dependent plasticity. Neurocomputing, Volumes 52-54, June 2003, Pages 347-353.
- Andreas Knoblauch and Friedrich T. Sommer. Synaptic plasticity, conduction delays, and inter-areal phase relations of spike activity in a model of reciprocally connected areas. Neurocomputing, Volumes 52-54, June 2003, Pages 301-306.
- Andreas Knoblauch and F.T. Friedrich T. Sommer. Spike-timing-dependent synaptic plasticity can form "zero lag links" for cortical oscillations. Neurocomputing, Volumes 58-60, June 2004, Pages 185-190.
- Per Jesper Sjöström and Sacha B. Nelson. Spike timing, calcium signals and synaptic plasticity. Current Opinion in Neurobiology, Volume 12, Issue 3, 1 June 2002, Pages 305-314.
- Shinichi Nagai. Non-self-rejection by emergent structures on evolving networks of the spiking neurons. Neurocomputing, Volumes 58-60, June 2004, Pages 209-214. I found this paper rather hard to understand, but then again I only glanced at it for a minute
- Valentin P. Zhigulin and M.I.Mikhail I. Rabinovich. An important role of spike timing dependent synaptic plasticity in the formation of synchronized neural ensembles. Neurocomputing, Volumes 58-60, June 2004, Pages 373-378.
Data
Bi, G. & Poo, M.-m. (1998) J. Neurosci. 18, 10464 10472.
Bi, G. & Poo, M.-m. (2001) Annu. Rev. Neurosci. 24, 139 166. 8812 8821.
Feldman, D. (2000) Neuron 27, 45 46.
Froemke, R. C. & Dan, Y. (2002) Nature (London) 416, 433 438.
To do
CategoryTodo
5. Bienstock, E. L., Cooper, L. N. & Munro, P. W. (1982) J. Neurosci. 2, 32 48.
9. Senn, W., Markram, H. & Tsodyks, M. (2000) Neural Comp. 13, 36 67.
10. Migliore, M. & Lansky, P. (1999) Biophys. J. 77, 1234 1243.
CategoryPlasticity
CategorySynaptic