Abstract
We consider an excitatory population composed of subthreshold neurons which exhibit noise-induced spikings. This neuronal population has adaptive dynamic synaptic strengths governed by the spike-timing-dependent plasticity (STDP). In the absence of STDP, stochastic spike synchronization (SSS) between noise-induced spikings of subthreshold neurons was previously found to occur over a large range of intermediate noise intensities. Here, we investigate the effect of STDP on the SSS by varying the noise intensity. A “Matthew” effect in synaptic plasticity is found to occur due to a positive feedback process. Good synchronization gets better via long-term potentiation (LTP) of synaptic strengths, while bad synchronization gets worse via long-term depression (LTD). Emergence of LTP and LTD of synaptic strengths is investigated through microscopic studies based on both the distributions of time delays between the pre- and the postsynaptic spike times and the pair correlations between the pre- and the postsynaptic IISRs (instantaneous individual spike rates).
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References
Buzsáki, G.: Rhythms of the Brain. Oxford University Press, New York (2006)
Wang, X.-J.: Neurophysiological and computational principles of cortical rhythms in cognition. Physiol. Rev. 90, 1195–1268 (2010)
Wang, Y., Chik, D.T.W., Wang, Z.D.: Coherence resonance and noise-induced synchronization in globally coupled Hodgkin-Huxley neurons. Phys. Rev. E 61, 740–746 (2000)
Lim, W., Kim, S.-Y.: Characterization of stochastic spiking coherence in coupled neurons. J. Korean Phys. Soc. 51, 1427–1431 (2007)
Lim, W., Kim, S.-Y.: Statistical-mechanical measure of stochastic spiking coherence in a population of inhibitory subthreshold neuron. J. Comput. Neurosci. 31, 667–677 (2011)
Kim, S.-Y., Lim, W.: Coupling-induced population synchronization in an excitatory population of subthreshold Izhikevich neurons. Cogn. Neurodyn. 7, 495–503 (2013)
Abbott, L.F., Nelson, S.B.: Synaptic plasticity: taming the beast. Nat. Neurosci. 3, 1178–1183 (2000)
Bi, G.-Q., Poo, M.-M.: Synaptic modifications in cultured hippocampal neurons: dependence on spike timing, synaptic strength, and postsynaptic cell type. J. Neurosci. 18, 10464–10472 (1998)
Song, S., Miller, K.D., Abbott, L.F.: Competitive Hebbian learning through spike-timing-dependent plasticity synaptic plasticity. Nat. Neurosci. 3, 919–926 (2000)
Bi, G.-Q., Poo, M.-M.: Synaptic modification by correlated activity: Hebbs postulate revisited. Annu. Rev. Neurosci. 24, 139–166 (2001)
Watts, D.J., Strogatz, S.H.: Collective dynamics of ‘Small-World’ networks. Nature 393, 440–442 (1998)
Izhikevich, E.M.: Simple model of spiking neurons. IEEE Trans. Neural Netw. 14, 1569–1572 (2003)
Izhikevich, E.M.: Which model to use for cortical spiking neurons? IEEE Trans. Neural Netw. 15, 1063–1070 (2004)
Kim, S.-Y., Lim, W.: Effect of small-world connectivity on fast sparsely synchronized cortical rhythms. Phys. A 421, 109–123 (2015)
Brunel, N., Wang, X.-J.: What determines the frequency of fast network oscillations with irregular neural discharges? I. Synaptic dynamics and excitation-inhibition balance. J. Neurophysiol. 90, 415–430 (2003)
San Miguel, M., Toral, R.: Stochastic effects in physical systems. In: Martinez, J., Tiemann, R., Tirapegui, E. (eds.) Instabilities and Nonequilibrium Structures VI, pp. 35–130. Kluwer Academic, Dordrecht (2000)
Kim, S.-Y., Lim, W.: Realistic thermodynamic and statistical-mechanical measures for neural synchronization. J. Neurosci. Methods 226, 161–170 (2014)
Acknowledgements
This research was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (Grant No. 20162007688).
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Kim, SY., Lim, W. (2018). Effect of Spike-Timing-Dependent Plasticity on Stochastic Spike Synchronization in an Excitatory Neuronal Population. In: Delgado-García, J., Pan, X., Sánchez-Campusano, R., Wang, R. (eds) Advances in Cognitive Neurodynamics (VI). Advances in Cognitive Neurodynamics. Springer, Singapore. https://doi.org/10.1007/978-981-10-8854-4_42
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DOI: https://doi.org/10.1007/978-981-10-8854-4_42
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