Hostname: page-component-78c5997874-8bhkd Total loading time: 0 Render date: 2024-11-19T12:46:14.328Z Has data issue: false hasContentIssue false
  • English
  • Français

Simulation study of stimulation parameters in desynchronisation based on the Hodgkin-Huxley small-world neural networks and its possible implications for vagus nerve stimulation

Published online by Cambridge University Press:  24 June 2014

Yan-Long Li ,
Zhao-Yang Chen ,
Jun Ma  and
Yu-Hong Chen
Yan-Long Li*
Affiliation:
Institute of Theoretical Physics, Lanzhou University of Technology, Lanzhou, China
Zhao-Yang Chen
Affiliation:
Department of Mechanical Engineering, University of California, Berkeley, CA, USA
Jun Ma
Affiliation:
Institute of Theoretical Physics, Lanzhou University of Technology, Lanzhou, China
Yu-Hong Chen
Affiliation:
Institute of Theoretical Physics, Lanzhou University of Technology, Lanzhou, China
*
Professor Yan-Long Li, Lanzhou University of Technology, Lanzhou 730050, China. Tel: +86 0931 2973365; Fax: +86 0931 2976040; E-mail: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

Adopting small-world neural networks of the Hodgkin-Huxley (HH) model, the stimulation parameters in desynchronisation and its possible implications for vagus nerve stimulation (VNS) are numerically investigated. With the synchronisation status of networks to represent epilepsy, then, adding pulse to stimulations to 10% of neurons to simulate the VNS, we obtain the desynchronisation status of networks (representing antiepileptic effects). The simulations show that synchronisation evolves into desynchronisation in the HH neural networks when a part (10%) of neurons are stimulated with a pulse current signal. The network desynchronisation appears to be sensitive to the stimulation parameters. For the case of the same stimulation intensity, weakly coupled networks reach desynchronisation more easily than strongly coupled networks. The network desynchronisation reduced by short-stimulation interval is more distinct than that of induced by long stimulation interval. We find that there exist the optimal stimulation interval and optimal stimulation intensity when the other stimulation parameters remain certain.

Keywords

desynchronisationEEGHodgkin-Huxley modelvagus nerve stimulation
Type
Research Article
Information
Acta Neuropsychiatrica , Volume 20 , Issue 1 , February 2008 , pp. 25 - 32
Copyright
Copyright © 2007 Blackwell Munksgaard

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Zou, YL, Chen, GR. Chaotic coupling synchronization of hyperchaotic oscillators. Chin Phys 2005;14:697. Google Scholar
Kozyreff, G, Vladimirov, A, Mandel, P. Global coupling with time delay in an array of semiconductor lasers. Phys Rev Lett 2000;85:3809. CrossRefGoogle Scholar
Kiss, IZ, Zhai, Y, Hudson, JL. Collective dynamics of chaotic chemical oscillators and the law of large numbers. Phys Rev Lett 2002;88:238301. CrossRefGoogle ScholarPubMed
Neiman, AB, Russell, DF. Synchronization of noise-induced bursts in noncoupled sensory neurons. Phys Rev Lett 2002;88:138103. CrossRefGoogle ScholarPubMed
Li, YL, Ma, J, Xu, WK, Wu, M. The networks scale and coupling parameter in synchronization of neural networks with diluted synapses. Chaos Solitons Fractals 2006, doi:10.1016/j.chaos.2006.08.032. Google Scholar
Li, Y, Liao, X, Li, C, Chen, G. Impulsive control for synchronization of a nonlinear Rossler’s chaotic systems. Chin Phys 2006;15:2890–2904. Google Scholar
Feng, X, Zheng, Z. Coherent resonance and m:n phase synchronization in noise-driven excitable systems. Int J Mod Phys B 2005;19:3501–3509. CrossRefGoogle Scholar
Wang, MS, Hou, ZH, Xin, HW. Synchronization and coherence resonance in chaotic neural networks. Chin Phys 2006;15:2553–2557. Google Scholar
Tass, PA. A model of desynchronizing deep brain stimulation with a demand-controlled coordinated reset of neural subpopulations. Biol Cybern 2003;89:81. CrossRefGoogle ScholarPubMed
Nini, A. Neurons in the globus pallidus do not show correlated activity in the normal monkey, but phase-locked oscillations appear in the MPTP model of parkinsonism. J Neurophysiol 1995;74:1800. Google Scholar
Popovych, OV, Hauptmann, C, Tass, PA. Effective de-synchronization by nonlinear delayed feedback. Phys Rev Lett 2005;94:164102. CrossRefGoogle Scholar
Watts, DJ, Strogatz, SH. Collective dynamics of small-world networks. Nature (London) 1998;393:440–442. CrossRefGoogle Scholar
Hatchett, JPL, Skantzos, NS, Nikoletopoulos, T. Dynamic rewiring in small world networks. Phys Rev 2005;E72:066105. Google Scholar
Petermann, T, De Los Rios, P. Physical realizability of small-world networks. Phys Rev 2006;E73:026114. Google Scholar
Barahona, M, Pecora, LM. Synchronization in small-world systems. Phys Rev Lett 2002;89:054101. CrossRefGoogle ScholarPubMed
Zabara, J. Peripheral control of hypersynchronous discharge in epilepsy. Electroencephalogr Clin Neurophysiol 1985;61:162. CrossRefGoogle Scholar
Marrosu, F, Santoni, F, Puligheddu, Met al. Increase in 20–50 Hz (gamma frequencies) power spectrum and synchronization after chronic vagal nerve stimulation. Clin Neurophysiol 2005;116:2026–2036. CrossRefGoogle ScholarPubMed
Handforth, A, DeGiorgio, CM, Schachter, SC, Uthman, BM, Naritoku, DK, Tecoma, ES. Vagus nerve stimulation therapy for partial onset seizures: a randomized active-control trial. Neurology 1998;51:48–55. CrossRefGoogle ScholarPubMed
George, MS, Sackeim, HA, Marangell, LB, Husain, MM, Nahas, Z, Lisanby, SH. Vagus nerve stimulation. A potential therapy for resistant depression? Psychiatric Clin North Am 2000;23:757–783. CrossRefGoogle ScholarPubMed
George, MS, Sackeim, HA, Rush, AJ, Marangell, LB, Nahas, Z, Husain, MM. Vagus nerve stimulation: a new tool for brain research and therapy. Biol Psychiatry 2000;47:287–295. CrossRefGoogle ScholarPubMed
Wichers, MC, Maes, M. Mechanisms of interferon-alpha-induced depressive symptoms. Acta Neuropsychiatrica 2002;14:103–105. CrossRefGoogle ScholarPubMed
Sackeim, HA, Keilp, JG, Rush, AJ, George, MS, Marangell, LB, Dormer, JS. The effects of vagus nerve stimulation on cognitive performance in patients with treatment-resistant depression. Neuropsychiatry Neuropsychol Behav Neurol 2001;14:53–62. Google ScholarPubMed
Groves, DA, Brown, VJ. Vagal nerve stimulation: a review of its applications and potential mechanisms that mediate its clinical effects. Neurosci Biobehav Rev 2005;29:493–500. CrossRefGoogle ScholarPubMed
Osharina, V, Bagaev, V, Wallois, F, Larnicol, N. Autonomic response and Fos expression in the NTS following intermittent vagal stimulation: importance of pulse frequency. Auton Neurosci 2006;126–127: 72–80. CrossRefGoogle ScholarPubMed
Clark, KB, Naritoku, DK, Smith, DC, Browning, RA, Jensen, RA. Enhanced recognition memory following vagus nerve stimulation in human subjects. Nat Neurosci 1999;2:94–98. Google ScholarPubMed
Ness, TJ, Fillingim, RB, Randich, A, Backensto, EM, Faught, E. Low intensity vagal nerve stimulation lowers human thermal pain thresholds. Pain 2000;86:81–85. CrossRefGoogle ScholarPubMed
Kirschner, A, Birklein, F, Stefan, H, Handwerker, HO. Left vagus nerve stimulation suppresses experimentally induced pain. Neurology 2000;55:1167–1171. CrossRefGoogle Scholar
Anthony, H. Brainwaves. Acta Neuropsychiatrica 2006;18:234–235. Google Scholar
Hodgkin, AL, Huxley, AF. A quantitative description of membrane current and its application to conduction and excitation in nerve. J Physiol (London) 1952;117:500. CrossRefGoogle ScholarPubMed
Meunier, C, Segev, I. Playing the devil’s advocate: is the Hodgkin-Huxley model useful? Trends Neurosci 2002;25:558. CrossRefGoogle ScholarPubMed
Volkmann, J. Deep brain stimulation for the treatment of Parkinson’s diseases. Clin J Neurophysiol 2004;21:6. CrossRefGoogle Scholar
Tiesinga, PHE, Josè, JV, Sejnowski, TJ. Comparison of current-driven and conductance-driven neocortical model neurons with Hodgkin-Huxley Voltage-gated channels. Phys Rev 2000;E62:8413. Google Scholar
Agüera, B, Arcas, Y, Fairhall, AL, Bialek, W. Computation in a single neuron: Hodgkin and Huxley revisited. Neural Comput 2003;15:1715. Google Scholar
Hasegawa, H. Responses of a Hodgkin-Huxley neuron to various types of spike-train inputs. Phys Rev 2000;E61:718. Google Scholar
McCormick, DA, Contreras, D. On the cellular and network bases of epileptic seizures. Annu Rev Physiol 2001;63:815–846. CrossRefGoogle ScholarPubMed
LagoFernández, LF, Huerta, R, Corbacho, F, Sigüenza, JA. Fast response and temporal coherent oscillations in small-world networks. Phys Rev Lett 2000;84:2758–2761. CrossRefGoogle Scholar
Rossoni, E, Chen, Y, Ding, M, Feng, J. Stability of synchronous oscillations in a system of Hodgkin-Huxley neurons with delayed diffusive and pulsed coupling. Phys Rev 2005;E71:061904. Google Scholar