Abstract
In the paper, based on the computer simulation, the hippocampal two-dimension reduced neuron model is taken as the object, and its dynamic bifurcation characteristics are analyzed and discussed in detail by the neurodynamic analysis methods. When the maximum conductance of the instantaneous sodium channel and the maximum conductance of the delay-rectified potassium channel are changed, the neuron model undergoes the supercritical Andronov-Hopf bifurcation from the rest state to the continuous discharge state. The neuron model is a resonator with the monostable state and has the common dynamics of the resonator. This investigation is helpful to know and investigate deeply the dynamic characteristics and the bifurcation mechanism of the hippocampal neuron by the computer simulation.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Urbani, A., Belluzzi, O.: Riluzole inhibits the persistent sodium current in mammalian CNS neurons. Eur. J. Neurosci. 12, 3567–3574 (2000)
Vasilyev, D.V., Barish, M.E.: Postnatal development of the hyperpolarization-activated excitatory current Ih in mouse hippocampal pyramidal neurons. J. Neurosci. 22, 8992–9004 (2002)
Vervaeke, K., Hu, H., Graham, L.J., Storm, J.F.: Contrasting effects of the persistent Na_current on neuronal excitability and spike timing. Neuron 49, 257–270 (2006)
Shuai, J., Bikson, M., Hahn, P.J., Lian, J., Durand, D.M.: Ionic mechanisms underlying spontaneous CA1 neuronal firing in Ca2 + -free solution. Biophys. J. 84, 2099–2111 (2003)
Chen, S., Yue, C., Yaari, Y.: A transitional period of calcium-dependent bursting triggered by spike backpropagation into apical dendrites in developing hippocampal neurons. J. Physiol. 567, 79–93 (2005)
Metz, A.E., Jarsky, T., Martina, M., Spruston, N.: R-type calcium channels contribute to afterdepolarization and bursting in hippocampal CA1 pyramidal neurons. J. Neurosci. 25, 5763–5773 (2005)
Traub, R.D., Wong, R.K., Miles, R., Michelson, H.: A model of a CA3 hippocampal pyramidal neuron incorporating voltage-clamp data on intrinsic conductances. J. Neurophysiol. 66, 635–649 (1991)
Traub, R.D., Miles, R.: Neuronal networks of the hippocampus, New York, Cambridge (1991)
Traub, R.D., Jefferys, J.G.R., Miles, R., Whittington, M.A., To´th, K.: A branching dendritic model of a rodent CA3 pyramidal neurone. J. Physiol. 481, 79–95 (1994)
Warman, E.N., Durand, D.M., Yuen, G.L.: Reconstruction of hippocampal CA1 pyramidal cell electrophysiology by computer simulations. J. Neurophysiol. 71, 2033–2045 (1994)
Yue, C., Remy, S., Su, H., Beck, H., Yaari, Y.: Proximal persistent Na+ channels drive spike afterdepolarizations and associated bursting in adult CA1 pyramidal cells. J. Neurosci. 25, 9704–9720 (2005)
Yue, C., Yaari, Y.: KCNQ/M channels control spike afterdepolarization and burst generation in hippocampal neurons. J. Neurosci. 24, 4614–4624 (2004)
Yue, C., Yaari, Y.: Axo-somatic and apical dendritic Kv7/M channels differentially regulate the intrinsic excitability of adult rat CA1 pyramidal cells. J. Neurophysiol. 95, 3480–3495 (2006)
Golomb, D., Yue, C., Yaari, Y.: Contribution of Persistent Na+ Current and M-Type K + Current to Somatic Bursting in CA1 Pyramidal Cells: Combined Experimental and Modeling Study. J. Neurophysiol, 96, 1912–1926 (2006)
Peng, Y.: Study on Dynamic Characteristics of the Hippocampal Neuron under Current Stimulation. Advanced Materials Research 341-342, 350–354 (2011)
Peng, Y., Zou, N., Wu, H.: Dynamic Characteristics of the Hippocampal Neuron under Conductance’s Changing. Applied Mechanics and Materials 195-196, 868–873 (2012)
Peng, Y., Wu, H., Zou, N.: Study on the Hippocampal Neuron’s Minimal Models’ Discharge Patterns. I.J. Image, Graphics and Signal Processing 4, 32–38 (2011)
He, X., Peng, Y.: Study on Reduction Algorithm in Hippocampal Neuron Complex Model. In: The 2012 8th International Conference on Natural Computation, pp. 178–182 (2012)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Peng, Y., Wang, X., Qiu, X. (2013). A Study on Dynamic Characteristics of the Hippocampal Two-Dimension Reduced Neuron Model under Current Conductance Changes. In: Guo, C., Hou, ZG., Zeng, Z. (eds) Advances in Neural Networks – ISNN 2013. ISNN 2013. Lecture Notes in Computer Science, vol 7951. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39065-4_10
Download citation
DOI: https://doi.org/10.1007/978-3-642-39065-4_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-39064-7
Online ISBN: 978-3-642-39065-4
eBook Packages: Computer ScienceComputer Science (R0)