Research Article
Year 2017,
Volume: 17 Issue: 1, 3091 - 3096, 27.03.2017
Abstract
In this paper, the effects of autapse, a kind of
synapse formed between the axon or soma of a neuron and its own dendrite, on
the transmission of weak signal are investigated in scale-free neuronal
networks. In the study, we consider that each neuron has an autapse modelled as
chemical synapse. Then, a weak signal that is thought to carry information or
an unwanted activity such as virus is applied to all neurons in the network. It
is seen that the autapse with its small conductance values can slightly
increases the transmission of weak signal across the network when the autaptic
time delay is equal to the intrinsic oscillation period of the Hodgkin-Huxley
neuron. Interestingly, when the autaptic time delay becomes equal to half of
this intrinsic period or its integer multiples the autapse can prominently
blocks the weak signal transmission. Also, as the autaptic conductance is
increased the weak signal transmission is completely impeded by the autapse
with its proper auatptic time delays. One consider that the weak signal is an
unwanted or virius threatening the whole network, this autaptic mechanism is an
efficient way to protect the network from attacks.
Keywords
References
- [1] EJ. Furshpan, DD. Potter, “Transmission at the giant motor synapses of the crayfish.", J. Physiol., vol. 145, no. 2, pp. 289-325, March 1959.
- [2] H. Van der Loos, E.M. Glaser, “Autapses in neocortex cerebri: synapses between a pyramidal cell’s axon and its own dendrites.", Brain Res., vol. 48, no. 24, pp. 355-360, December 1972.
- [3] JM. Bekkers, “Neurophysiology: are autapses prodigal synapses?”, Curr Biol., vol. 8, no. 2, pp. 52-55, January 1998.
- [4] K. Yamaguchi, “Autapse Encyclopedia of Neuroscience" (M. D. Binder ed.), N Hirokawa and U Windhorst (Springer Berlin Heidelberg) 2008.
- [5] J. Lübke, H. Markram, M Frotscher, B. Sakmann, “Frequency and dendritic distribution of autapses established by layer 5 pyramidal neurons in the developing rat neocortex: Comparison with synaptic innervation of adjacent neurons of the same class.", J. Neurosci., vol. 16, no.10, pp 3209-3218, May 1996.
- [6] M. H. Flight, “Neuromodulation: Exerting self-control for persistence.", Nat. Rev. Neurosci., vol. 10, no. 316, May 2009
- [7] T. Branco, K. Staras “The probability of neurotransmitter release: variability and feedback control at single synapses.", Nat. Rev. Neurosci., vol. 10, pp. 373-383, May 2009.
- [8] A.B. Karabelas, D.P. Purpura, “Evidence for autapses in the substantia nigra" Brain Res., vol. 200, no. 2, pp. 467-473, November 1980.
- [9] M.R. Park, J.W. Lighthall, S.T. Kitai, “Recurrent inhibition in the rat neostriatum.", Brain Res., vol. 194, no 2, pp. 359-369, August 1980.
- [10] F. Kimura, Y. Otsu, T. Tsumoto, “Presynaptically silent synapses: spontaneously active terminals without stimulus-evoked release demonstrated in cortical autapses.”, J. Neurophysiol., vol. 77, no. 5, pp. 2805-2815, May 1997.
- [11] G. Tamás, E.H. Buhl, P. Somogyi, “Massive autaptic self-innervation of GABAergic neurons in cat visual cortex", J. Neurosci., vol. 17, no. 16, pp 6352-6364, August 1997.
- [12] A. Bacci, J.R. Huguenard, D.A. “Prince Functional autaptic neurotransmission in fast-spiking interneurons: a novel form of feedback inhibition in the neocortex”, J. Neurosci., vol. 23, no 3, pp. 859–866, February 2003.
- [13] R. Saada, N. Miller, I. Hurwitz, A. J. Susswein, “Autaptic excitation elicits persistent activity and a plateau potential in a neuron of known behavioral function.", Curr. Biol., vol. 19, no. 6, pp. 479-484, March 2009.
- [14] A. Bacci, J.R. Huguenard, “Enhancement of Spike-Timing Precision by Autaptic Transmission in Neocortical Inhibitory Interneurons", Neuron, vol. 49, no. 1, pp. 119-130, January 2006.
- [15] Y. Li, G. Schmid, P. Hänggi, L. Schimansky-Geier, “Spontaneous spiking in an autaptic Hodgkin-Huxley setup", Phys. Rev. E., vol. 82, no. 6, pp. 061907, December 2010.
- [16] H.X Qin, J. Ma, C. Wang, R. Chu, “Autapse-induced target wave, spiral wave in regular networkof neurons", Physics, Mechanics and Astronomy, vol. 57, no. 10, pp. 1918-1926, October 2014.
- [17] C. Masoller, M.C. Torrent, J. García-Ojalvo, “Interplay of subthreshold activity, time-delayed feedback, and noise on neuronal firing patterns” Phys. Rev. E, vol. 78, no. 4, pp. 041907, October 2008.
- [18] W.M. Connelly, “Autaptic connections and synaptic depression constrain and promote gamma oscillations” PLoS ONE, vol. 9, no. 2, pp. e89995, February 2014.
- [19] H. Wang, J. Ma, Y. Chen, Y. Chen, “Effect of an autapse on the firing pattern transition in a bursting neuron.” Commun. Nonlinear Sci. Numer. Simul., vol. 19, no. 9, pp. 3242–3254, September 2014.
- [20] H. Wang, Y. Sun, Y. Li, Y. Chen, “Influence of autaptic self-feedback on mode-locking structure of a Hodgkin–Huxley neuron under sinusoidal stimulus.”, J. Theoret. Biol., vol. 358, pp. 25–30, May 2014.
- [21] M. Sainz-Trapaga, C. Maseller, H.A. Braun, M.T. Huber “Influence of time-delayed feedback in the firing pattern of thermally sensitive neurons.”, Phys. Rev. E, vol. 70, no. 3, pp. 031904, September 2004.
- [22] GC Sethia, J Kurths, A Sen, “Coherence resonance in an excitable system with time delay.”, Physics Letters A, vol. 364, no. 3, pp. 227-230, April 2007.
- [23] E. Yılmaz, V. Baysal, M. Ozer, M. Perc, “Autaptic pacemaker mediated propagation of weak rhythmic activity across small-world neuronal networks.", Physica A, vol. 444, pp. 538-546, February 2016.
- [24] E. Yılmaz, V. Baysal, M. Perc, M. Ozer, “Enhancement of pacemaker induced stochastic resonance by an autapse in a scale-free neuronal network.", Science China Technological Sciences, vol. 59, no.1, pp. 1–7, March 2016.
- [25] Yılmaz E, Ozer M, Baysal V, Perc M, “Autapse-induced multiple coherence resonance in single neurons and neuronal networks.”, Scientific Reports, vol. 6, pp. 30914, August 2016.
- [26] Hodgkin A L, Huxley A F., “A quantitative description of membrane current and its application to conduction and excitation in nerve.”, J Physiol, vol. 117, no. 4, pp. 500–544, August 1952.
- [27] R.F. Fox, “Stochastic versions of the Hodgkin–Huxley equations.”, Biophys. J., vol. 72, pp. 2068–2074, no. 5, May 1997.
- [28] Barabasi A L, Albert R. Emergence of Scaling in Random Net-works. Science, 1999, 286: 509-512.
Year 2017,
Volume: 17 Issue: 1, 3091 - 3096, 27.03.2017
Abstract
References
- [1] EJ. Furshpan, DD. Potter, “Transmission at the giant motor synapses of the crayfish.", J. Physiol., vol. 145, no. 2, pp. 289-325, March 1959.
- [2] H. Van der Loos, E.M. Glaser, “Autapses in neocortex cerebri: synapses between a pyramidal cell’s axon and its own dendrites.", Brain Res., vol. 48, no. 24, pp. 355-360, December 1972.
- [3] JM. Bekkers, “Neurophysiology: are autapses prodigal synapses?”, Curr Biol., vol. 8, no. 2, pp. 52-55, January 1998.
- [4] K. Yamaguchi, “Autapse Encyclopedia of Neuroscience" (M. D. Binder ed.), N Hirokawa and U Windhorst (Springer Berlin Heidelberg) 2008.
- [5] J. Lübke, H. Markram, M Frotscher, B. Sakmann, “Frequency and dendritic distribution of autapses established by layer 5 pyramidal neurons in the developing rat neocortex: Comparison with synaptic innervation of adjacent neurons of the same class.", J. Neurosci., vol. 16, no.10, pp 3209-3218, May 1996.
- [6] M. H. Flight, “Neuromodulation: Exerting self-control for persistence.", Nat. Rev. Neurosci., vol. 10, no. 316, May 2009
- [7] T. Branco, K. Staras “The probability of neurotransmitter release: variability and feedback control at single synapses.", Nat. Rev. Neurosci., vol. 10, pp. 373-383, May 2009.
- [8] A.B. Karabelas, D.P. Purpura, “Evidence for autapses in the substantia nigra" Brain Res., vol. 200, no. 2, pp. 467-473, November 1980.
- [9] M.R. Park, J.W. Lighthall, S.T. Kitai, “Recurrent inhibition in the rat neostriatum.", Brain Res., vol. 194, no 2, pp. 359-369, August 1980.
- [10] F. Kimura, Y. Otsu, T. Tsumoto, “Presynaptically silent synapses: spontaneously active terminals without stimulus-evoked release demonstrated in cortical autapses.”, J. Neurophysiol., vol. 77, no. 5, pp. 2805-2815, May 1997.
- [11] G. Tamás, E.H. Buhl, P. Somogyi, “Massive autaptic self-innervation of GABAergic neurons in cat visual cortex", J. Neurosci., vol. 17, no. 16, pp 6352-6364, August 1997.
- [12] A. Bacci, J.R. Huguenard, D.A. “Prince Functional autaptic neurotransmission in fast-spiking interneurons: a novel form of feedback inhibition in the neocortex”, J. Neurosci., vol. 23, no 3, pp. 859–866, February 2003.
- [13] R. Saada, N. Miller, I. Hurwitz, A. J. Susswein, “Autaptic excitation elicits persistent activity and a plateau potential in a neuron of known behavioral function.", Curr. Biol., vol. 19, no. 6, pp. 479-484, March 2009.
- [14] A. Bacci, J.R. Huguenard, “Enhancement of Spike-Timing Precision by Autaptic Transmission in Neocortical Inhibitory Interneurons", Neuron, vol. 49, no. 1, pp. 119-130, January 2006.
- [15] Y. Li, G. Schmid, P. Hänggi, L. Schimansky-Geier, “Spontaneous spiking in an autaptic Hodgkin-Huxley setup", Phys. Rev. E., vol. 82, no. 6, pp. 061907, December 2010.
- [16] H.X Qin, J. Ma, C. Wang, R. Chu, “Autapse-induced target wave, spiral wave in regular networkof neurons", Physics, Mechanics and Astronomy, vol. 57, no. 10, pp. 1918-1926, October 2014.
- [17] C. Masoller, M.C. Torrent, J. García-Ojalvo, “Interplay of subthreshold activity, time-delayed feedback, and noise on neuronal firing patterns” Phys. Rev. E, vol. 78, no. 4, pp. 041907, October 2008.
- [18] W.M. Connelly, “Autaptic connections and synaptic depression constrain and promote gamma oscillations” PLoS ONE, vol. 9, no. 2, pp. e89995, February 2014.
- [19] H. Wang, J. Ma, Y. Chen, Y. Chen, “Effect of an autapse on the firing pattern transition in a bursting neuron.” Commun. Nonlinear Sci. Numer. Simul., vol. 19, no. 9, pp. 3242–3254, September 2014.
- [20] H. Wang, Y. Sun, Y. Li, Y. Chen, “Influence of autaptic self-feedback on mode-locking structure of a Hodgkin–Huxley neuron under sinusoidal stimulus.”, J. Theoret. Biol., vol. 358, pp. 25–30, May 2014.
- [21] M. Sainz-Trapaga, C. Maseller, H.A. Braun, M.T. Huber “Influence of time-delayed feedback in the firing pattern of thermally sensitive neurons.”, Phys. Rev. E, vol. 70, no. 3, pp. 031904, September 2004.
- [22] GC Sethia, J Kurths, A Sen, “Coherence resonance in an excitable system with time delay.”, Physics Letters A, vol. 364, no. 3, pp. 227-230, April 2007.
- [23] E. Yılmaz, V. Baysal, M. Ozer, M. Perc, “Autaptic pacemaker mediated propagation of weak rhythmic activity across small-world neuronal networks.", Physica A, vol. 444, pp. 538-546, February 2016.
- [24] E. Yılmaz, V. Baysal, M. Perc, M. Ozer, “Enhancement of pacemaker induced stochastic resonance by an autapse in a scale-free neuronal network.", Science China Technological Sciences, vol. 59, no.1, pp. 1–7, March 2016.
- [25] Yılmaz E, Ozer M, Baysal V, Perc M, “Autapse-induced multiple coherence resonance in single neurons and neuronal networks.”, Scientific Reports, vol. 6, pp. 30914, August 2016.
- [26] Hodgkin A L, Huxley A F., “A quantitative description of membrane current and its application to conduction and excitation in nerve.”, J Physiol, vol. 117, no. 4, pp. 500–544, August 1952.
- [27] R.F. Fox, “Stochastic versions of the Hodgkin–Huxley equations.”, Biophys. J., vol. 72, pp. 2068–2074, no. 5, May 1997.
- [28] Barabasi A L, Albert R. Emergence of Scaling in Random Net-works. Science, 1999, 286: 509-512.
There are 28 citations in total.
Details
| Journal Section | Articles |
|---|---|
| Authors | |
| Publication Date | March 27, 2017 |
| Published in Issue | Year 2017 Volume: 17 Issue: 1 |
