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The role of relative membrane capacitance and time delay in cerebellar Purkinje cells

  • Jing Wang , Shenquan Liu EMAIL logo , Bo Lu and Yanjun Zeng
Published/Copyright: December 17, 2016

Abstract

The membrane capacitance of a neuron can influence the synaptic efficacy and the speed of electrical signal propagation. Exploring the role of membrane capacitance will help facilitate a deeper understanding of the electrical properties of neurons. Thus, in this paper, we investigated the neuronal firing behaviors of a two-compartment model in Purkinje cells. We evaluated the influence of membrane capacitance under two different circumstances: in the absence of time delay and in the presence of time delay. Firstly, we separately studied the influence of somatic membrane capacitance Cs and dendritic membrane capacitance Cd on neuronal firing patterns. Through numerical simulation, we observed that they had two different types of period-adding scenarios, i.e. with and without chaotic bursting. Secondly, our results indicated that when the time delay was included in the model, periodic motions were more inclined to be destroyed, while at the same time, corresponding new chaotic motions were induced. These findings suggested that membrane capacitance and time delay play a pivotal functional role in modulating dynamical firing properties of neurons, especially aspects which lead to behaviors which result in changes to bursting patterns.

Acknowledgments

This work was supported by the National Natural Science Foundation of China under Grant Nos. 11572127 and 11172103. The authors declare that they have no competing interests.

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Received: 2016-11-10
Accepted: 2016-11-15
Published Online: 2016-12-17
Published in Print: 2017-10-26

©2017 Walter de Gruyter GmbH, Berlin/Boston

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