The Effects of Leakage Conductance on Firing Properties in a Compartment Neuron Model
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 ana
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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.
1 Introduction As to neuronal intrinsic properties, such as their bio- chemistry, the distribution of ion channels, and cell morphology contribute to the electrical responses of neurons [1, 2]. The influence of ion channels on neuronal firing properties has been subject to intensive research due to their physiological significance and dynamical complexity [3, 4], while the leakage current which plays the central role of balancing ions flow across channels in neuron is well worth studied [5]. Literatures on the study of leakage conductance are rich. Schreiber et al. studied the effect of leakage conductance on spiking reliability of cortical neurons for
L. Wang • S. Liu () Department of Mathematics, South China University of Technology, Guangzhou 510640, China e-mail: [email protected] Y. Yamaguchi (ed.), Advances in Cognitive Neurodynamics (III), DOI 10.1007/978-94-007-4792-0 108, © Springer ScienceCBusiness Media Dordrecht 2013
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suprathreshold rhythmic inputs [6]. Wang et al. analyzed the hopf bifurcation induced by leakage conductance in Hodgkin-Huxley model [7], and Yin et al. presented a bifurcation analysis with the change of parameter potassium leakage current in a thalamic relay neuron model [8]. In the present paper, we explore the influence of leakage conductance gL on firing activities in a two-compartment pyramidal neuron, various firing patterns are obtained with the change of gL , with the aid of InterSpike Intervals (ISI) bifurcation diagram, it is found that the transition between different firing patterns with parameter gL shows an apparent periodic bifurcation phenomenon, by considering two cases about the value of gL in somatic compartment (gLs ) and dendritic compartment (gLd ), similarity is found between gL and gLd , while difference is observed between gL and gLs . Simulation results presented here can not only illustrate the important role of gL in the generating, conducting and switching of various neuronal action potential patterns, but also give the transition modes from which we can see how these firing
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