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The Effects of Leakage Conductance on Firing Properties in a Compartment Neuron Model

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Advances in Cognitive Neurodynamics (III)
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Abstract

Leakage current is a critical factor which can balance ions flow across channels in neuron. In this study, a simple case is considered about the influence of leakage conductance gL on neuronal firing activities in a two compartment model, the detailed analysis includes two aspects: (1). the values of gL in the two compartments are equal, (2). the values of gL in the two compartments are not equal. With computer simulation, it is found that numerical results obtained from the variation of gL in somatic compartment and dendritic compartment show much difference, simulation results obtained from variation of gL in dendritic compartment have much similarity with results got in case (1) when gL varies, while the variation of gL in soma gives some difference with the case in (1). In the final the changing of membrane capacitance to the potential spike is also discussed here. All these results may give us a general rule of neuronal firing properties.

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References

  1. Mainen, Z., Sejnowski, T.: Influence of dendrite structure on firing pattern in model neocortical neuron. Nature 382 (1996) 363–366

    Article  CAS  PubMed  Google Scholar 

  2. Schreiber, S., Fellous, J.M., Tiesinga, P., Sejnowski, T.J.: Influence of ionic conductances on spike timing reliability of cortical neurons for suprathreshold rhythmic inputs. J Neurophysiol 91 (2004) 194–205

    Article  PubMed Central  PubMed  Google Scholar 

  3. Duan, L.X., Lu, Q.S., Wang, Q.Y.: Two- parameter bifurcation analysis of firing activities in the Chay neuronal model. Neurocomputing 72 (2008) 341–351

    Article  Google Scholar 

  4. Xu, J., Clancy, C.E.: Ionic mechanisms of endogenous bursting in CA3 hippocampal pyramidal neurons: a model study. PLoS ONE 3(4) (2008) e2056(1–12)

    Google Scholar 

  5. Hodgkin, A.L., Huxley, A.F.: A quantitative description of membrane current and its application to conduction and excitation in nerve. J Physiol 117 (1952) 500–544

    CAS  PubMed Central  PubMed  Google Scholar 

  6. Schreiber, S., Fellous, F.M., Tiesinga, P., Sejnowski, T.J.: Influence of ionic conductances on spike timing reliability of cortical neurons for suprathreshold rhythmic inputs. J Neurophysiol 91 (2004) 194–205

    Article  PubMed Central  PubMed  Google Scholar 

  7. Wang, J., Chen, L.Q., Fei, X.Y.: Analysis and control of the bifurcation of Hodgkin-Huxley model. Chaos, Solitons & Fractals 31 (2007) 247–256

    Google Scholar 

  8. Yin, H.B., Cox, C.L., Mehta, P.G., Shanbhag, U.V.: Bifurcation analysis of a thalamic relay neuron model. American Control Conference 10–12 (2009) 337–342

    Google Scholar 

  9. Kepecs, A., Wang, X.J.: Analysis of complex bursting in cortical pyramidal neuron models. Neurocomputing 32–33 (2000) 181–187

    Article  Google Scholar 

  10. Wong, R.K., Stewart, M.: Different firing patterns generated in dendrites and somata of CA1 pyramidal neurones in guinea-pig hippocampus. J Physiol 457 (1992) 675–687

    CAS  PubMed Central  PubMed  Google Scholar 

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Acknowledgments

This work is supported by the National Nature Science Foundation of China under Grant Nos. 10872069.

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Correspondence to Shenquan Liu .

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Wang, L., Liu, S. (2013). The Effects of Leakage Conductance on Firing Properties in a Compartment Neuron Model. In: Yamaguchi, Y. (eds) Advances in Cognitive Neurodynamics (III). Springer, Dordrecht. https://doi.org/10.1007/978-94-007-4792-0_108

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