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CONTROL OF COLLECTIVE BURSTING IN SMALL HODGKIN-HUXLEY NEURON CLUSTERS

Year 2018, Volume: 60 Issue: 1, 21 - 30, 31.07.2018

Abstract

The speed gradient-based control algorithm for
tracking the membrane potential of Hodgkin-Huxley neurons is applied to their
small clusters modeling the basic features of an epileptiform dynamics. One of
the neurons plays a role of control element detecting the temporal
hyper-synchronization among its network companions and switching their bursting
behavior to resting. The ‘toy’ model proposed in the paper can serve as an
algorithmic basement for developing special control elements at the scale of
one or few cells that may work autonomously and are able to detect and suppress
epileptic behavior in the networks of real biological neurons.

References

  • Hodgkin and A.L. Huxley, A.A., Journal of Physiology, 117 (1952), 500-544.
  • Rubio, C, Rubio-Osornio, M., Retana-Márquez, S., López, M., Custodio, V. and Paz, C., Central Nervous System Agents in Medicinal Chemistry, 10/4 (2010) 298-309.
  • Naze, S. Bernard and Ch. Jirsa, V., PLOS Computational Biology, 1 (2015) 1-21.
  • Reynolds, E.H., Epilepsy: The disorder, (Epilepst Atlas, WHO, 2005, 16-27).
  • Eftaxias, K. Minadakis, G. Athanasopoulou, L. Kalimeri, M. Potirakis, S.M. and Balasis, G., Are epileptic seizures quakes of the brain? An approach by means of nonextensive Tsallis statistics, 2011, arXiv preprint arXiv:1110.2169.
  • Petkov, G., Goodfellow, M., Richardson, M. P. and Terry, J., Frontiers in Neurology, 5 (2014) 261.
  • Wendling, F., Benquet, P., Bartolomei and F. Jirsa, V., Journal of Neuroscience Methods, 260 (2016) 233-251.
  • Borisenok, S. and Ünal, Z., MATTER: International Journal of Science and Technology, 3/2 (2017) 560-576.
  • Fradkov, A.L., Cybernetical physics: From control of chaos to quantum control, Springer, Berlin, 2007.
Year 2018, Volume: 60 Issue: 1, 21 - 30, 31.07.2018

Abstract

References

  • Hodgkin and A.L. Huxley, A.A., Journal of Physiology, 117 (1952), 500-544.
  • Rubio, C, Rubio-Osornio, M., Retana-Márquez, S., López, M., Custodio, V. and Paz, C., Central Nervous System Agents in Medicinal Chemistry, 10/4 (2010) 298-309.
  • Naze, S. Bernard and Ch. Jirsa, V., PLOS Computational Biology, 1 (2015) 1-21.
  • Reynolds, E.H., Epilepsy: The disorder, (Epilepst Atlas, WHO, 2005, 16-27).
  • Eftaxias, K. Minadakis, G. Athanasopoulou, L. Kalimeri, M. Potirakis, S.M. and Balasis, G., Are epileptic seizures quakes of the brain? An approach by means of nonextensive Tsallis statistics, 2011, arXiv preprint arXiv:1110.2169.
  • Petkov, G., Goodfellow, M., Richardson, M. P. and Terry, J., Frontiers in Neurology, 5 (2014) 261.
  • Wendling, F., Benquet, P., Bartolomei and F. Jirsa, V., Journal of Neuroscience Methods, 260 (2016) 233-251.
  • Borisenok, S. and Ünal, Z., MATTER: International Journal of Science and Technology, 3/2 (2017) 560-576.
  • Fradkov, A.L., Cybernetical physics: From control of chaos to quantum control, Springer, Berlin, 2007.
There are 9 citations in total.

Details

Primary Language English
Journal Section Review Articles
Authors

Sergey Borısenok This is me 0000-0002-1992-628X

Önder Çatmabacak This is me 0000-0002-6419-0363

Zeynep Ünal This is me 0000-0002-4640-4049

Publication Date July 31, 2018
Submission Date November 10, 2017
Acceptance Date January 27, 2018
Published in Issue Year 2018 Volume: 60 Issue: 1

Cite

APA Borısenok, S., Çatmabacak, Ö., & Ünal, Z. (2018). CONTROL OF COLLECTIVE BURSTING IN SMALL HODGKIN-HUXLEY NEURON CLUSTERS. Communications Faculty of Sciences University of Ankara Series A2-A3 Physical Sciences and Engineering, 60(1), 21-30.
AMA Borısenok S, Çatmabacak Ö, Ünal Z. CONTROL OF COLLECTIVE BURSTING IN SMALL HODGKIN-HUXLEY NEURON CLUSTERS. Commun.Fac.Sci.Univ.Ank.Series A2-A3: Phys.Sci. and Eng. July 2018;60(1):21-30.
Chicago Borısenok, Sergey, Önder Çatmabacak, and Zeynep Ünal. “CONTROL OF COLLECTIVE BURSTING IN SMALL HODGKIN-HUXLEY NEURON CLUSTERS”. Communications Faculty of Sciences University of Ankara Series A2-A3 Physical Sciences and Engineering 60, no. 1 (July 2018): 21-30.
EndNote Borısenok S, Çatmabacak Ö, Ünal Z (July 1, 2018) CONTROL OF COLLECTIVE BURSTING IN SMALL HODGKIN-HUXLEY NEURON CLUSTERS. Communications Faculty of Sciences University of Ankara Series A2-A3 Physical Sciences and Engineering 60 1 21–30.
IEEE S. Borısenok, Ö. Çatmabacak, and Z. Ünal, “CONTROL OF COLLECTIVE BURSTING IN SMALL HODGKIN-HUXLEY NEURON CLUSTERS”, Commun.Fac.Sci.Univ.Ank.Series A2-A3: Phys.Sci. and Eng., vol. 60, no. 1, pp. 21–30, 2018.
ISNAD Borısenok, Sergey et al. “CONTROL OF COLLECTIVE BURSTING IN SMALL HODGKIN-HUXLEY NEURON CLUSTERS”. Communications Faculty of Sciences University of Ankara Series A2-A3 Physical Sciences and Engineering 60/1 (July 2018), 21-30.
JAMA Borısenok S, Çatmabacak Ö, Ünal Z. CONTROL OF COLLECTIVE BURSTING IN SMALL HODGKIN-HUXLEY NEURON CLUSTERS. Commun.Fac.Sci.Univ.Ank.Series A2-A3: Phys.Sci. and Eng. 2018;60:21–30.
MLA Borısenok, Sergey et al. “CONTROL OF COLLECTIVE BURSTING IN SMALL HODGKIN-HUXLEY NEURON CLUSTERS”. Communications Faculty of Sciences University of Ankara Series A2-A3 Physical Sciences and Engineering, vol. 60, no. 1, 2018, pp. 21-30.
Vancouver Borısenok S, Çatmabacak Ö, Ünal Z. CONTROL OF COLLECTIVE BURSTING IN SMALL HODGKIN-HUXLEY NEURON CLUSTERS. Commun.Fac.Sci.Univ.Ank.Series A2-A3: Phys.Sci. and Eng. 2018;60(1):21-30.

Communications Faculty of Sciences University of Ankara Series A2-A3 Physical Sciences and Engineering

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