Vibrational resonance in feedforward neuronal network with unreliable synapses

In this paper, we investigate vibrational resonance in feedforward neuronal network coupled in an all-to-all fashion. In contrast to earlier most work, where only reliable synaptic connections are considered, we mainly examine the effects of unreliable synapses on signal propagation in this work. It is shown that the neurotransmitter release probability and excitatory synaptic strength largely influence the signal propagation, and better tuning of these synaptic parameters makes the feedforward neuronal network support stable signal propagation. Furthermore, it is found that high-frequency driving plays important roles in causing the response of the feedforward neuronal network to subthreshold low-frequency signal and strengthening the ability of the signal propagation between layers. In particular, the optimal amplitude of high-frequency driving is largely influenced by the stochastic effect of neurotransmitter release and the coupling strength. Finally, we compare our results with those obtained in corresponding feedforward neuronal networks connected with reliable synapses but in a random coupling fashion. It is demonstrated that unreliable synaptic coupling is more efficient than the random coupling for the transmission of local input signal. Considering that unreliable synapses are inevitable in neuronal communication, the presented results could have important implications for the weak signal detection and information propagation in neural systems.

[1]  P. Andersen,et al.  Putative Single Quantum and Single Fibre Excitatory Postsynaptic Currents Show Similar Amplitude Range and Variability in Rat Hippocampal Slices , 1992, The European journal of neuroscience.

[2]  R. FitzHugh Impulses and Physiological States in Theoretical Models of Nerve Membrane. , 1961, Biophysical journal.

[3]  A. Aertsen,et al.  Spiking activity propagation in neuronal networks: reconciling different perspectives on neural coding , 2010, Nature Reviews Neuroscience.

[4]  G. Shepherd The Synaptic Organization of the Brain , 1979 .

[5]  Anthony Zador,et al.  Synaptic transmission: Noisy synapses and noisy neurons , 1996, Current Biology.

[6]  J Kurths,et al.  Frequency-dependent stochastic resonance in inhibitory coupled excitable systems. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  J. Kurths,et al.  Coherence Resonance in a Noise-Driven Excitable System , 1997 .

[8]  B. Katz The release of neural transmitter substances , 1969 .

[9]  Bin Deng,et al.  Vibrational resonance in neuron populations. , 2010, Chaos.

[10]  Daqing Guo,et al.  Signal propagation in feedforward neuronal networks with unreliable synapses , 2011, Journal of Computational Neuroscience.

[11]  J Kurths,et al.  Oscillatory amplification of stochastic resonance in excitable systems. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[12]  A. Maksimov,et al.  On the subharmonic emission of gas bubbles under two-frequency excitation , 1997 .

[13]  Yasuo Kuniyoshi,et al.  Growth of stochastic resonance in neuronal ensembles with the input signal intensity. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

[14]  P. McClintock,et al.  LETTER TO THE EDITOR: Vibrational resonance , 2000 .

[15]  Moshe Abeles,et al.  Corticonics: Neural Circuits of Cerebral Cortex , 1991 .

[16]  Paul Glendinning,et al.  Stability, instability and chaos , by Paul Glendinning. Pp. 402. £45. 1994. ISBN 0 521 41553 5 (hardback); £17.95 ISBN 0 521 42566 2 (paperback) (Cambridge). , 1997, The Mathematical Gazette.

[17]  Mark S. Goldman,et al.  Enhancement of Information Transmission Efficiency by Synaptic Failures , 2004, Neural Computation.

[18]  T. Branco,et al.  The probability of neurotransmitter release: variability and feedback control at single synapses , 2009, Nature Reviews Neuroscience.

[19]  L Schimansky-Geier,et al.  Noise induced propagation in monostable media. , 2001, Physical review letters.

[20]  A Zippelius,et al.  Stochastic model of central synapses: slow diffusion of transmitter interacting with spatially distributed receptors and transporters. , 1999, Journal of theoretical biology.

[21]  Der-Chin Su,et al.  Simple two-frequency laser , 1996 .

[22]  Tim P Vogels,et al.  Signal Propagation and Logic Gating in Networks of Integrate-and-Fire Neurons , 2005, The Journal of Neuroscience.

[23]  David Cubero,et al.  High-frequency effects in the FitzHugh-Nagumo neuron model. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[24]  Anders Vastberg,et al.  The two-frequency coherence function for the fluctuating ionosphere: narrowband pulse propagation , 1997 .

[25]  J D Victor,et al.  Two-frequency analysis of interactions elicited by Vernier stimuli , 2000, Visual Neuroscience.

[26]  C. Stevens,et al.  An evaluation of causes for unreliability of synaptic transmission. , 1994, Proceedings of the National Academy of Sciences of the United States of America.

[27]  Jürgen Kurths,et al.  Vibrational resonance and vibrational propagation in excitable systems , 2003 .

[28]  L. Abbott,et al.  Redundancy Reduction and Sustained Firing with Stochastic Depressing Synapses , 2002, The Journal of Neuroscience.

[29]  Wolfgang Kinzel,et al.  Dynamics of recurrent neural networks with delayed unreliable synapses: metastable clustering , 2009, Journal of Computational Neuroscience.