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Effects of Autapse and Channel Blockage on Firing Regularity in a Biological Neuronal Network

Yıl 2017, Cilt: 17 Sayı: 1, 3075 - 3081, 27.03.2017

Rukiye Uzun Mahmut Ozer

Öz

In this paper; the effects of
autapse (a kind of self-synapse formed between the axon of the soma of a neuron
and its own dendrites) and ion channel blockage on the firing regularity of a
biological small-world neuronal network, consists of stochastic Hodgkin-Huxley
neurons, are studied. In this study, it is assumed that all of the neurons on
the network have a chemical autapse and a constant membrane area. Obtained
results indicate that there are different effects of channel blockage and
parameters of the autapse on the regularity of the network, thus on the
temporal coherence of the network. It is found that the firing regularity of
the network is decreased with the sodium channel blockage while increased with
potassium channel blockage. Besides, it is determined that regularity of the
network augments with the conductance of the autapse.  

Anahtar Kelimeler

Autapse channel blocking ion channel noise small-world neuronal netwoks

Kaynakça

  • R. Uzun, "Biyolojik Nöral Ağlarda Latans Dinamiklerinin Analizi", PhD thesis, Elec Depar. of EEE, BEU, Zonguldak., Turkey, 2014.
  • E. R. Kandel, J. H. Schwartz, T. M. Jessel, S. A. Siegelbaum, and A. J. Hudspeth, "Principles of Neural Science 4th Edition ", McGraw-Hill Medical, New York, England, 2000.
  • H. Qin, J. Ma, C. Wang, and Y. Wu, "Autapse-induced sprial wave in network of neurons under noise", PlosOne, vol. 9, no. 6, pp. 1-9, 2014.
  • E. P. Furshpan, and D. D. Potter, "Transmission at the giant motor synapses of the crayfish", J. Physiol., vol.145, pp. 289-345, 1959.
  • A. B. Karabelas, and D. P. Purpura, "Evidence for autapse in the substantianigra", Brain Res., vol. 200, no. 2, pp. 467–473, 1980.
  • G. Támas, E. H. Buhl, and P. Somogyi, "Massive autaptic self-innervation of GABAergic neurons in cat visual cortex", J. Neurosci., vol. 17, no. 16, pp. 6352-64, 1997.
  • J. M. Bekkers, "Neurophysiology: are autapses prodigal synapses?", Curr. Biol., vol. 8, no. 2, pp. R52-55, 1998.
  • J. M. Bekkers, "Synaptic transmission: functional autapses in the cortex", Curr. Biol., vol. 13, no. 11, pp. R433-435, 2003.
  • K. Ikeda, and J. M. Bekkers, "Autapses", Curr. Biol., vol. 16, no. 9, pp. R308, 2006.
  • H. Van der Loos, and E. M. Glaser, "Autapses in neocortex cerebri: synapses between a pyramidal cell’s axon and its own dendrites", Brain Res., vol. 48, pp. 355-360, 1972.
  • J. Lübke, H. Markram, M. Frotscher, and 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, pp. 3209-3218, 1996.
  • M. H. Flight, "Neuromodulation: Exerting self-control for persistence", Nat. Rev. Neurosci., vol. 10, pp. 316, 2009.
  • T. Branco, and K. Staras, "The probability of neurotransmitter release: Variability and feedback control at single synapses", Nat. Rev. Neurosci., vol. 10, pp. 373-383, 2009.
  • A. Bacci, and J. R. Huguenard, "Enhancement of spike-timing precision by autaptic transmission in neocortical inhibitory interneurons", Neuron, vol. 49, pp. 119-130, 2006.
  • C. G. Rusin, S. E. Johnson, J. Kapur, and J. L. Hudson, "Engineering the synchronization of neuron action potentials using global time-delayed feedback stimulation", Phys. Rev. E, vol. 84, pp. 066202, 2011.
  • Y. Li, G. Schmid, P. Hänggi, and L. Schimansky-Geier, "Spontaneous spiking in an autaptic Hodgkin–Huxley setup", Phys. Rev. E, vol. 82, pp. 061907, 2010.
  • W. M. Connelly, "Autaptic connections and synaptic depression constrain and promote gamma oscillations", PlosOne, vol. 9, pp. e89995, 2014.
  • H. Wang, J. Ma, Y. Chen, and Y. Chen, "Effect of an autapse on the firing pattern transition in a bursting neuron", Commun. Nonlinear Sci. Numer. Simul., vol. 19, pp. 3242-3254, 2014.
  • H. Wang, Y. Sun, Y. Li, and 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, 2014.
  • E. Yilmaz, and M. Ozer, "Delayed feedback and detection of weak periodic signals in a stochastic Hodgkin–Huxley neuron", Physica A, vol. 421, pp. 455-462, 2015.
  • E. Yilmaz, V. Baysal, M. Ozer, and M. Perc, "Autaptic pacemaker mediated propagation of weak rhythmic activity across small-world neuronal networks", Physica A, vol. 444, pp. 538-546, 2016.
  • E. Yilmaz, V. Baysal, M. Perc, and M. Ozer, "Enhancement of pacemaker induced stochastic resonance by an autapse in a scale-free neuronal networks", Sci. China Technol. Sc., vol. 59, no. 3, pp. 364-370, 2016.
  • Q. Wang, and Y. Gong, "Multiple coherence resonance and sychronization transitions induced by autaptic delay in Newman-Watts neuron networks", Appl. Math. Model., vol. 40, pp. 7147-7155, 2016.
  • H. Wang, and Y. Chen, "Response of autaptic Hodgkin–Huxley neuron with noise to subthreshold sinusoidal signals", Physica A, vol. 462, pp. 321-329, 2016.
  • E. Yilmaz, M. Ozer, V. Baysal, M. Perc, and M. Perc, "Autapse-induced multiple coherence resonance in single neurons and neuronal networks", Sci. Rep., vol. 6, pp. 30914, 2016.
  • P. Hänggi, "Stochastic resonance in biology", Chem. Phys. Chem., vol. 3, pp. 285-290, 2002.
  • P. N. Steinmetz, A. Manwani, C. Koch, M. London, and I. Segev, "Subthreshold voltage noise due to channel fluctuations in active neuronal membranes", J. Comput. Neurosci., vol. 9, pp. 133-148, 2000.
  • E. Schneidman, B. Freedman, and I. Segev, "Ion channel stochasticity may be critical in determining the reliability and precision of spike timing", Neural Comput., vol. 10, pp. 1679-1694, 1998.
  • B. Hille, "Ionic Channels of Excitable Membranes", Unv. of Washington, Sinauer Press, USA, 1992.
  • G. Schmid, I. Goychuk, and P. Hänggi, "Effect of channel block on the spiking activity of excitable membranes in a stochastic Hodgkin-Huxley model", Phys. Biol., vol. 1, no. 1-2, pp. 61-66, 2004.
  • G. Schmid, I. Goychuk, and P. Hänggi, "Controlling the spiking activity in excitable membranes via poisoning", Physica A, vol. 344, no. 3-4, pp. 665-670, 2004.
  • Y. B. Gong, B. Xu, X. G. Ma, and J. Q. Han, "Effect of channel block on the collective spiking activity of coupled stochastic Hodgkin-Huxley neurons", Sci. China Ser. B, vol. 51, no. 4, pp. 341-346, 2008.
  • M. Ozer, M. Perc, and M. Uzuntarla, "Controlling the spontaneous spiking regularity via channel blocking on Newman-Watts networks of Hodgkin-Huxley neurons", Europhys. Lett., vol. 86, no. 4, pp. 40008-14, 2008.
  • M. Uzuntarla, R. Uzun, E. Yilmaz, M. Ozer, and M. Perc, "Noise-delayed decay in the response of a scale-free neuronal network", Chaos Soliton Fract., vol. 56, pp. 202-208, 2013.
  • J. Ma, H. Long, C. N. Wang, and Z. S. Pu, "Robustness, death of spiral wave in the network of neurons under partial ion channel block", Commun. Theor. Phys., vol. 59, no. 2, pp. 233-242, 2013.
  • L. Huang, J. Ma, J. Tang, and F. Li, "Transition of ordered waves in neuronal network induced by diffusive poisoning of ion channels", J. Biol. Syst., vol. 21, no. 01, pp. 1350002, 2013.
  • R. Uzun, M. Ozer, and M. Perc, "Can scale-freeness offset delayed signal detection in neuronal networks?", Eur. Phys. J. A, vol. 105, no. 6, pp. 60002, 2014.
  • R. Uzun, and M. Ozer, "The effect of channel blocking on first spike timing", in IEEE 23nd Signal Processing and Communications Applications Conference, Malatya, Turkey, 2015, pp. 1191-1199.
  • M. E. J. Newman, and D. J. Watts, "Scaling and percolation in the small-world network model", Phys. Rev. E, vol. 60, no. 1, pp. 7332-7342, 1999.
  • A. Hodgkin, and A. Huxley, "A quantitative description of membrane current and its application to conduction and excitation in nerve", J. Physiol., vol. 117, no. 4, pp. 500-544, 1952.
  • N. Burić, K. Todorović, and N. Vasović, "Synchronization of bursting neurons with delayed chemical synapses", Phys. Rev. A, vol. 78, no. 3, pp. 036211, 2008.
  • R. F. Fox, "Stochastic versions of the Hodgkin–Huxley equations", Biophys. J., vol. 72, no. 5, pp. 2068-2074, 1997.

Yıl 2017, Cilt: 17 Sayı: 1, 3075 - 3081, 27.03.2017

Rukiye Uzun Mahmut Ozer

Öz

Kaynakça

  • R. Uzun, "Biyolojik Nöral Ağlarda Latans Dinamiklerinin Analizi", PhD thesis, Elec Depar. of EEE, BEU, Zonguldak., Turkey, 2014.
  • E. R. Kandel, J. H. Schwartz, T. M. Jessel, S. A. Siegelbaum, and A. J. Hudspeth, "Principles of Neural Science 4th Edition ", McGraw-Hill Medical, New York, England, 2000.
  • H. Qin, J. Ma, C. Wang, and Y. Wu, "Autapse-induced sprial wave in network of neurons under noise", PlosOne, vol. 9, no. 6, pp. 1-9, 2014.
  • E. P. Furshpan, and D. D. Potter, "Transmission at the giant motor synapses of the crayfish", J. Physiol., vol.145, pp. 289-345, 1959.
  • A. B. Karabelas, and D. P. Purpura, "Evidence for autapse in the substantianigra", Brain Res., vol. 200, no. 2, pp. 467–473, 1980.
  • G. Támas, E. H. Buhl, and P. Somogyi, "Massive autaptic self-innervation of GABAergic neurons in cat visual cortex", J. Neurosci., vol. 17, no. 16, pp. 6352-64, 1997.
  • J. M. Bekkers, "Neurophysiology: are autapses prodigal synapses?", Curr. Biol., vol. 8, no. 2, pp. R52-55, 1998.
  • J. M. Bekkers, "Synaptic transmission: functional autapses in the cortex", Curr. Biol., vol. 13, no. 11, pp. R433-435, 2003.
  • K. Ikeda, and J. M. Bekkers, "Autapses", Curr. Biol., vol. 16, no. 9, pp. R308, 2006.
  • H. Van der Loos, and E. M. Glaser, "Autapses in neocortex cerebri: synapses between a pyramidal cell’s axon and its own dendrites", Brain Res., vol. 48, pp. 355-360, 1972.
  • J. Lübke, H. Markram, M. Frotscher, and 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, pp. 3209-3218, 1996.
  • M. H. Flight, "Neuromodulation: Exerting self-control for persistence", Nat. Rev. Neurosci., vol. 10, pp. 316, 2009.
  • T. Branco, and K. Staras, "The probability of neurotransmitter release: Variability and feedback control at single synapses", Nat. Rev. Neurosci., vol. 10, pp. 373-383, 2009.
  • A. Bacci, and J. R. Huguenard, "Enhancement of spike-timing precision by autaptic transmission in neocortical inhibitory interneurons", Neuron, vol. 49, pp. 119-130, 2006.
  • C. G. Rusin, S. E. Johnson, J. Kapur, and J. L. Hudson, "Engineering the synchronization of neuron action potentials using global time-delayed feedback stimulation", Phys. Rev. E, vol. 84, pp. 066202, 2011.
  • Y. Li, G. Schmid, P. Hänggi, and L. Schimansky-Geier, "Spontaneous spiking in an autaptic Hodgkin–Huxley setup", Phys. Rev. E, vol. 82, pp. 061907, 2010.
  • W. M. Connelly, "Autaptic connections and synaptic depression constrain and promote gamma oscillations", PlosOne, vol. 9, pp. e89995, 2014.
  • H. Wang, J. Ma, Y. Chen, and Y. Chen, "Effect of an autapse on the firing pattern transition in a bursting neuron", Commun. Nonlinear Sci. Numer. Simul., vol. 19, pp. 3242-3254, 2014.
  • H. Wang, Y. Sun, Y. Li, and 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, 2014.
  • E. Yilmaz, and M. Ozer, "Delayed feedback and detection of weak periodic signals in a stochastic Hodgkin–Huxley neuron", Physica A, vol. 421, pp. 455-462, 2015.
  • E. Yilmaz, V. Baysal, M. Ozer, and M. Perc, "Autaptic pacemaker mediated propagation of weak rhythmic activity across small-world neuronal networks", Physica A, vol. 444, pp. 538-546, 2016.
  • E. Yilmaz, V. Baysal, M. Perc, and M. Ozer, "Enhancement of pacemaker induced stochastic resonance by an autapse in a scale-free neuronal networks", Sci. China Technol. Sc., vol. 59, no. 3, pp. 364-370, 2016.
  • Q. Wang, and Y. Gong, "Multiple coherence resonance and sychronization transitions induced by autaptic delay in Newman-Watts neuron networks", Appl. Math. Model., vol. 40, pp. 7147-7155, 2016.
  • H. Wang, and Y. Chen, "Response of autaptic Hodgkin–Huxley neuron with noise to subthreshold sinusoidal signals", Physica A, vol. 462, pp. 321-329, 2016.
  • E. Yilmaz, M. Ozer, V. Baysal, M. Perc, and M. Perc, "Autapse-induced multiple coherence resonance in single neurons and neuronal networks", Sci. Rep., vol. 6, pp. 30914, 2016.
  • P. Hänggi, "Stochastic resonance in biology", Chem. Phys. Chem., vol. 3, pp. 285-290, 2002.
  • P. N. Steinmetz, A. Manwani, C. Koch, M. London, and I. Segev, "Subthreshold voltage noise due to channel fluctuations in active neuronal membranes", J. Comput. Neurosci., vol. 9, pp. 133-148, 2000.
  • E. Schneidman, B. Freedman, and I. Segev, "Ion channel stochasticity may be critical in determining the reliability and precision of spike timing", Neural Comput., vol. 10, pp. 1679-1694, 1998.
  • B. Hille, "Ionic Channels of Excitable Membranes", Unv. of Washington, Sinauer Press, USA, 1992.
  • G. Schmid, I. Goychuk, and P. Hänggi, "Effect of channel block on the spiking activity of excitable membranes in a stochastic Hodgkin-Huxley model", Phys. Biol., vol. 1, no. 1-2, pp. 61-66, 2004.
  • G. Schmid, I. Goychuk, and P. Hänggi, "Controlling the spiking activity in excitable membranes via poisoning", Physica A, vol. 344, no. 3-4, pp. 665-670, 2004.
  • Y. B. Gong, B. Xu, X. G. Ma, and J. Q. Han, "Effect of channel block on the collective spiking activity of coupled stochastic Hodgkin-Huxley neurons", Sci. China Ser. B, vol. 51, no. 4, pp. 341-346, 2008.
  • M. Ozer, M. Perc, and M. Uzuntarla, "Controlling the spontaneous spiking regularity via channel blocking on Newman-Watts networks of Hodgkin-Huxley neurons", Europhys. Lett., vol. 86, no. 4, pp. 40008-14, 2008.
  • M. Uzuntarla, R. Uzun, E. Yilmaz, M. Ozer, and M. Perc, "Noise-delayed decay in the response of a scale-free neuronal network", Chaos Soliton Fract., vol. 56, pp. 202-208, 2013.
  • J. Ma, H. Long, C. N. Wang, and Z. S. Pu, "Robustness, death of spiral wave in the network of neurons under partial ion channel block", Commun. Theor. Phys., vol. 59, no. 2, pp. 233-242, 2013.
  • L. Huang, J. Ma, J. Tang, and F. Li, "Transition of ordered waves in neuronal network induced by diffusive poisoning of ion channels", J. Biol. Syst., vol. 21, no. 01, pp. 1350002, 2013.
  • R. Uzun, M. Ozer, and M. Perc, "Can scale-freeness offset delayed signal detection in neuronal networks?", Eur. Phys. J. A, vol. 105, no. 6, pp. 60002, 2014.
  • R. Uzun, and M. Ozer, "The effect of channel blocking on first spike timing", in IEEE 23nd Signal Processing and Communications Applications Conference, Malatya, Turkey, 2015, pp. 1191-1199.
  • M. E. J. Newman, and D. J. Watts, "Scaling and percolation in the small-world network model", Phys. Rev. E, vol. 60, no. 1, pp. 7332-7342, 1999.
  • A. Hodgkin, and A. Huxley, "A quantitative description of membrane current and its application to conduction and excitation in nerve", J. Physiol., vol. 117, no. 4, pp. 500-544, 1952.
  • N. Burić, K. Todorović, and N. Vasović, "Synchronization of bursting neurons with delayed chemical synapses", Phys. Rev. A, vol. 78, no. 3, pp. 036211, 2008.
  • R. F. Fox, "Stochastic versions of the Hodgkin–Huxley equations", Biophys. J., vol. 72, no. 5, pp. 2068-2074, 1997.
Toplam 42 adet kaynakça vardır.

Ayrıntılar

Bölüm Makaleler
Yazarlar

Rukiye Uzun

Mahmut Ozer Bu kişi benim

Yayımlanma Tarihi 27 Mart 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 17 Sayı: 1

Kaynak Göster

APA Uzun, R., & Ozer, M. (2017). Effects of Autapse and Channel Blockage on Firing Regularity in a Biological Neuronal Network. IU-Journal of Electrical & Electronics Engineering, 17(1), 3075-3081.
AMA Uzun R, Ozer M. Effects of Autapse and Channel Blockage on Firing Regularity in a Biological Neuronal Network. IU-Journal of Electrical & Electronics Engineering. Mart 2017;17(1):3075-3081.
Chicago Uzun, Rukiye, ve Mahmut Ozer. “Effects of Autapse and Channel Blockage on Firing Regularity in a Biological Neuronal Network”. IU-Journal of Electrical & Electronics Engineering 17, sy. 1 (Mart 2017): 3075-81.
EndNote Uzun R, Ozer M (01 Mart 2017) Effects of Autapse and Channel Blockage on Firing Regularity in a Biological Neuronal Network. IU-Journal of Electrical & Electronics Engineering 17 1 3075–3081.
IEEE R. Uzun ve M. Ozer, “Effects of Autapse and Channel Blockage on Firing Regularity in a Biological Neuronal Network”, IU-Journal of Electrical & Electronics Engineering, c. 17, sy. 1, ss. 3075–3081, 2017.
ISNAD Uzun, Rukiye - Ozer, Mahmut. “Effects of Autapse and Channel Blockage on Firing Regularity in a Biological Neuronal Network”. IU-Journal of Electrical & Electronics Engineering 17/1 (Mart 2017), 3075-3081.
JAMA Uzun R, Ozer M. Effects of Autapse and Channel Blockage on Firing Regularity in a Biological Neuronal Network. IU-Journal of Electrical & Electronics Engineering. 2017;17:3075–3081.
MLA Uzun, Rukiye ve Mahmut Ozer. “Effects of Autapse and Channel Blockage on Firing Regularity in a Biological Neuronal Network”. IU-Journal of Electrical & Electronics Engineering, c. 17, sy. 1, 2017, ss. 3075-81.
Vancouver Uzun R, Ozer M. Effects of Autapse and Channel Blockage on Firing Regularity in a Biological Neuronal Network. IU-Journal of Electrical & Electronics Engineering. 2017;17(1):3075-81.
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