Simulation of Ultra-slow Oscillations Using the Integrate and Fire Neuron Model


The Integrate and Fire (IF) neuron model wasusedto simulate ultra-slow oscillations that were observed in cortical cultures. Simulation of a network with 2 sub-networks is conducted in this study. We introduced an additional equation that governs the generation and dissipation of an inhibitory property to each of the sub-network.Sub-networks that fire at different rate are generated from the simulation. The network activity from the simulation oscillates at frequencies that are comparable to ultra-slow oscillations observed in cortical cultures.

Share and Cite:

D. Ng, M. -Ying, C. -Cheng and G. -Yau, "Simulation of Ultra-slow Oscillations Using the Integrate and Fire Neuron Model," Engineering, Vol. 4 No. 10B, 2012, pp. 65-67. doi: 10.4236/eng.2012.410B017.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] A. Husain, W.O. Tatum and P.W. Kaplan.Handbook of EEG interpretation.Demos Medical, 2008.
[2] M. Steriade, A. Nu?ez and F. Amzica. “A novel slow (< 1 hz) oscillation of neocortical neurons in vivo: depolarizing and hyperpolarizing components” J. Neuroscience, vol 13, issue 8 pp. 3252–3265, Aug 1993.
[3] F. Amzica and M. Steriade. “Short- and long-range neuronal synchronization of the slow (< 1 hz) cortical oscillation”, J. of Neurophysiology, vol. 73, issue 1, pp. 20–38, Jan 1995.
[4] D. Contreras ,I. Timofeev and M.Steriade.“Mechanisms of long-lasting hyperpolarizations underlying slowsleep oscillations in cat corticothalamicnetworks”J. of Physiology, vol. 494, pp 251-264, Jul 1996.
[5] S. Y. Mok, Z. Nadasdy, Y.M. Lim, S.Y. Goh. “Ultra-slow oscillations in cortical networks in vitro”, Neuroscience, vol. 206, pp 17-24, Mar 2012.
[6] M. Penttonen, N. Nurminen, R. Miettinen, J. Sirvi?, D. A. Henze, J. Csicsvári, and G. Buzsáki. “Ultra-slow oscillation (0.025 hz) triggers hippocampal afterdischarges in wistar rats” Neuroscience, vol 94, issue 3, pp. 735–743, Oct 1999.
[7] S. Vanhatalo, J. M. Palva, M. D. Holmes, J. W. Miller JW, J. VoipioandK. Kaila. “Infraslow oscillations modulate excitability and interictal epileptic activity in the human cortex during sleep” Proc.of the National Academy of Sciences, vol. 101, pp. 5053-5057, Apr 2004
[8] P. J. Drew, J. H. Duyn,E.Golanov and D.Kleinfeld“Finding coherence in spontaneous oscillations”Nature Neuroscience vol. 11, pp 991–993, 2008.
[9] N. Brunel and V.Hakim. “Fast global oscillations in networks of integrate-and-fire neurons with low firing rates”, Neural Computation, vol. 11, issue 7, pp. 1621–1671, Oct 1999.
[10] X. J. Wang and G. Buzsáki.“Gamma oscillation by synaptic inhibition in a hippocampal interneuronal network model”, J. Neuroscience, vol. 16, issue 20, pp. 6402–6413, Oct 1996.
[11] N. Brunel. “Dynamics of sparsely connected networks of excitatory and inhibitory spiking neurons”, J Computational Neuroscience, vol. 8, issue 3, pp. 183–208, Jun 2000.
[12] D. Hansel and G. Mato. “Asynchronous states and the emergence of synchrony in large networks of interacting excitatory and inhibitory neurons”, Neural Computation, vol. 15, issue 1, pp. 1–56, Jan 2003.
[13] P. E. Latham, B. J. Richmond, P. G. Nelson, and S. Nirenberg.“Intrinsic dynamics in neuronal networks.I.Theory.”J. of Neurophysiology, vol 83, issue 2, pp. 808–827, Feb 2000.
[14] P.E. Latham, B.J. Richmond, S. Nirenberg, and P.G. Nelson.“Intrinsic dynamics in neuronal networks. II. Experiment” J. of Neurophysiology, vol. 83, issue 2, pp. 828–835, Feb 2000.
[15] P. Kudela, P.J. Franaszczuk, and G.K. Bergey.“Changing excitation and inhibition in simulated neural networks: effects on induced bursting behaviour”, Biological Cybernetic, vol. 88, issue 4, pp. 276–285, Apr 2003.
[16] M. Tsodyks, A. Uziel, and H. Markram.“Synchrony generation in recurrent networks with frequency-dependent synapses”, J. of Neuroscience, vol. 20, RC50, pp 1-5, Jan 2000.
[17] V. Volman, I. Baruchi, and E. Ben-Jacob.“Manifestation of function-follow-form in cultured neuronal networks”, Physical Biology, vol.2, issue 2, pp. 98–110, Jun 2005.
[18] L.R Petzold and U.M. Ascher.Computer methods for ordinary differential equations and differential-algebraic equations.SIAM, 1998.

Copyright © 2023 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.