An investigation of the coefficient of variation using voltage clamps techniques

  • Authors

    • Ahmed Mahmood Khudhur Faculty of Engineering Technology, University Malaysia Pahang, Kuantan 26300, Malaysia
    • Ahmed N Abdalla
    • Jasni Mohamad Zain
    • Hai Tao
    2015-10-17
    https://doi.org/10.14419/ijbas.v4i4.5049
  • Colored Noise, Channel Gate, Ion Channel, Spike Resonance, Stochastic Hodgkin-Huxley Equations.

  • Abstract

    In recent years, it has been argued and experimentally shown that ion channel noise in neurons can have profound effects on the neuron’s dynamical behavior. Most profoundly, ion channel noise was seen to be able to cause spontaneous firing and stochastic resonance. It has been recently found that a non-trivially persistent cross correlation takes place between the transmembrane voltage fluctuations and the component of open channel fluctuations attributed to gate multiplicity. This non-trivial phenomenon was found to play a major augmentative role for the elevation of excitability and spontaneous firing in the small size cell. In addition, the same phenomenon was found to significantly enhance the spike coherence. In this paper, statistics of the coefficient of variation, to be obtained from the colored stochastic Hodgkin-Huxley equations using voltage clamps techniqueswill be studied. The simulation result shows the coefficient of variation; enhance the agreement with the microscopeinthe case of the noisy currents.

  • References

    1. [1] Ahmed Mahmood Khudhur, Ahmed N Abdalla.A New Neuron Ion Channel Model with Noisy Input Current. International Journal of Engineering Technology and Sciences (IJETS), (2015)3(1): 29-35.

      [2] Chow, C. C. (1996). Spontaneous action potentials due to channel fluctuations. Biophysical Journal, 71, 3013–3021. http://dx.doi.org/10.1016/S0006-3495(96)79494-8.

      [3] DeFelice, L. J. (1992). Chaotic states in a random world: Relationship between the nonlinear differential equations of excitability and the stochastic properties of ion channels. Journal of Statistical Physics, 70, 339–354. http://dx.doi.org/10.1007/BF01053972.

      [4] Faisal, A. S. (2008). Noise in the nervous system. Nervous system. Nature Reviews Neuroscience, 9, 292–303. http://dx.doi.org/10.1038/nrn2258.

      [5] G. Schmid, P. H. (2007). Intrinsic coherence resonance in excitable membrane patches. In Mathematical Biosciences (pp. 236-244). Augsburg: Institut fu¨ r Physik, Universita¨ t Augsburg, Theoretische Physik I.

      [6] Güler, M. (2007). Dissipative stochastic mechanics for capturing neuronal dynamics under the influence of ion channel noise: Formalism using a special membrane. Physical Review E, 76, 041918(17). http://dx.doi.org/10.1103/PhysRevE.76.041918.

      [7] Güler, M. (2008). Detailed numerical investigation of the dissipative stochastic mechanics based neuron model. Journal of Computational Neuroscience, 25, 211–227. http://dx.doi.org/10.1007/s10827-008-0074-x.

      [8] Güler, M. (2011). Persistent membranous cross correlations due to the multiplicity of gates in ion channels. Journal of Computational Neuroscience ISSN 0929-5313. http://dx.doi.org/10.1007/s10827-011-0337-9.

      [9] Güler, M. (2011). Persistent membranous cross correlations due to the multiplicity of gates in ion channels. Journal of Computational Neuroscience, 31,713-724. http://dx.doi.org/10.1007/s10827-011-0337-9.

      [10] Güler, M. (2013). Stochastic Hodgkin-huxley equations with colored noise terms in the conductances. Neural Computation, 25, 46-74. http://dx.doi.org/10.1162/NECO_a_00384.

      [11] Güler, M. (2013). Stochastic Hodgkin-huxley equations with colored noise terms in the conductances. Neural Computation (to appear in january 2013 issue). http://dx.doi.org/10.1162/neco_a_00384.

      [12] H. Lecar, R. N. (1971). I. Relationship between electrical noise and fluctuations in axon firing. In Theory of threshold fluctuations in nerves (p. 1048). Biophys. J.

      [13] Hodgkin, A. L. (1952). A quantitative description of membrane current and its application to conduction and excitationin in nerve. Journal of Physiology. (London.Print), 117, 500–544.

      [14] Johansson, S. &. (1994). Single-channel currents trigger action potentials in small cultured hippocampal neurons. Proceedings of National Academy of Sciences USA, 91, 1761–1765. http://dx.doi.org/10.1073/pnas.91.5.1761.

      [15] Jung, P. &. (2001). Optimal sizes of ion channel clusters. Europhysics Letters, 56, 29–35. http://dx.doi.org/10.1209/epl/i2001-00483-y.

      [16] Lu, F. R. (1994). Emergent collective behavior in large numbers of globally coupled independently stochastic ion channels.

      [17] Özer, M. (2006). Frequency-dependent information coding in neurons with stochastic ion channels for subthreshold periodic forcing. Physics Letters A, 354, 258–263. http://dx.doi.org/10.1016/j.physleta.2006.01.066.

      [18] Rowat, P. F. (2004). State-dependent effects of Na channel noise on neuronal burst generation. Journal of Computational Neuroscience, 16, 87–112. http://dx.doi.org/10.1023/B:JCNS.0000014104.08299.8b.

      [19] Rubinstein, J. (1995). Threshold fluctuations in an N sodium channel model of the node of Ranvier. Biophysical Journal, 68, 779–785. http://dx.doi.org/10.1016/S0006-3495(95)80252-3.

      [20] Sakmann, B. &. (1995). Single-channel recording (2nded.). New York: Plenum.

      [21] Schmid, G. G. (2001). Stochastic resonance as a collective property of ion channel assemblies. Europhysics Letters, 56, 22–28. http://dx.doi.org/10.1209/epl/i2001-00482-6.

      [22] Schneidman, E. F. (1998). Ion channel stochasticity may be critical in determining the reliability and precision of spike timing. Neural Computation, 10, 1679–1703. http://dx.doi.org/10.1162/089976698300017089.

      [23] Zeng, S. &. (2004). Mechanism for neuronal spike generation by small and large ion channel clusters. Physical Review E, 70, 011903(8). http://dx.doi.org/10.1103/physreve.70.011903.

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  • How to Cite

    Khudhur, A. M., Abdalla, A. N., Zain, J. M., & Tao, H. (2015). An investigation of the coefficient of variation using voltage clamps techniques. International Journal of Basic and Applied Sciences, 4(4), 364-370. https://doi.org/10.14419/ijbas.v4i4.5049

    Received date: 2015-07-08

    Accepted date: 2015-10-09

    Published date: 2015-10-17