Abstract
The stability of synchronization in E/I networks (networks of excitatory and inhibitory neurons) has been explored in many studies. However, how the robust synchronization occurs in highly heterogeneous real neural circuits has not been studied sufficiently. This paper considers the robustness of the synchronization in E/I network, and found that both the frequency and the synchrony of the network are highly dependent on the parameter settings. A short but indispensable inhibition delay, sufficiently fast decay of inhibitory synapses, and strong connections are critical to turn the E/I networks into robust gamma frequency oscillators. The networks under these conditions can achieve a level of robustness against heterogeneity as high as 30%, which is comparable to the level of heterogeneity observed in real neural systems.
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
Gray, C.M., Singer, W.: Stimulus-specific neuronal oscillations in orientation columns of cat visual cortex. Proc. Natl Acad. Sci. 86, 1698–1702 (1989)
Buzsáki, G., Chrobak, J.J.: Temporal structure in spatially organized neuronal ensembles: a role for interneuronal networks. Curr. Opin. Neurobiol. 5, 504–510 (1995)
Spencer, K.M., et al.: Abnormal neural synchrony in schizophrenia. J. Neurosci. 23, 7407–7411 (2003)
Börgers, C., Kopell, N.: Synchronization in networks of excitatory and inhibitory Neurons with sparse, random connectivity. Neural Comput. 15, 509–538 (2003)
van Hooft, J.A., Giuffrida, R., Blatow, M., Monyer, H.: Differential expression of group I metabotropic glutamate receptors in functionally distinct hippocampal interneurons. J. Neurosci. 20, 3544–3551 (2000)
Buzsáki, G., Leung, L.S., Vanderwolf, C.H.: Cellular bases of hippocampal EEG in the behaving rat. Brain Res. Rev. 6, 139–171 (1983)
Vida, I., Bartos, M., Jonas, P.: Shunting inhibition improves robustness of gamma oscillations in hippocampal interneuron networks by homogenizing firing rates. Neuron 49, 107–117 (2006)
Burkitt, A.N.: A review of the integrate-and-fire neuron model: I. Homogeneous synaptic input. Biol. Cybern. 95, 1–19 (2006)
Crunelli, V., Forda, S., Kelly, J.S.: The reversal potential of excitatory amino acid action on granule cells of the rat dentate gyrus. J. Physiol. 351, 327–342 (1984)
White, J.A., et al.: Synchronization and oscillatory dynamics in heterogeneous, mutually inhibited neurons. J. Comput. Neurosci. 5, 5–16 (1997)
Gerstner, W., van Hemmen, J.L., Cowan, J.D.: Synaptic mechanisms of synchronized gamma oscillations in inhibitory interneuron networks. Nat. Rev. Neurosci. 8, 45–56 (2007)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Shi, H., Wang, Z., Xie, J., Guo, C. (2011). Robustness of Gamma-Oscillation in Networks of Excitatory and Inhibitory Neurons with Conductance-Based Synapse. In: Liu, D., Zhang, H., Polycarpou, M., Alippi, C., He, H. (eds) Advances in Neural Networks – ISNN 2011. ISNN 2011. Lecture Notes in Computer Science, vol 6675. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21105-8_2
Download citation
DOI: https://doi.org/10.1007/978-3-642-21105-8_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-21104-1
Online ISBN: 978-3-642-21105-8
eBook Packages: Computer ScienceComputer Science (R0)