Abstract
In this paper we found parameter regions to exhibit those different population states, called dividing zones including flat fading zone, rapid fading zone and critical zone. Based on the dividing zones we can choose the number ratio between inhibitory neurons and excitatory neurons and establish the couplings in a neural network. Our researches also show that the balance value, enabling the firing density to reach the dynamic balance, does not depend on initial conditions. In additions, the critical value is only related to the number ratio under the same initial conditions.
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References
Winfree, A.T.: An integrated view of the resetting of circadian clock. Theor. Biol. 28 (1970) 327–374.
Haken, H.: Synopsis and Introduction, in Synergetics of the Brain. Berlin: Springer (1980).
Tass, P.A.: Phase Resetting in Medicine and Biology. Berlin: Springer-Verlag (1999).
Neiman, AB., Russell, D.F., Yakusheva, T.A., DiLullo, A, Tass, P.A.: Response clustering in transient stochastic synchronization and desynchronization of coupled neuronal bursters. Phys. Rev. E. 76 (2007) 021908.
Wagatsuma, H., Yamaguchi, Y.: Disambiguation of multiple sequence learning by theta phase coding. Brain Neural Netw. 12 (2005) 17–31.
Wang, R., Zhang, Z.: Nonlinear stochastic models of neurons activities. Neurocomputing. 51 (2003) 401–411.
Wang, R., Zhang, Z., Chen, G.: Energy function and energy evolution on neuronal populations. IEEE Trans. Neural Netw. 19 (2008) 535–538.
Wang, R., Zhang, Z.: Energy coding in biological neural network. Cogn. Neurodyn. 1(3) (2007) 203–212.
Liu, Y., Wang, R., Zhang, Z., Jiao, X.: Analysis of neurodynamics on phase neural coding in the presence of inhibitory neurons. ICNC’09. Tianjin, China (2009).
Acknowledgements
This work is supported by National Natural Science Foundation of China (NSFC) (10872068, 10672057)
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Liu, Y., Wang, R., Zhang, Z., Jiao, X., Cao, J. (2011). Determination of the Number Ratio Between Excitation Neurons and Inhibitory Neurons in Activities of Neural Networks. In: Wang, R., Gu, F. (eds) Advances in Cognitive Neurodynamics (II). Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9695-1_37
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DOI: https://doi.org/10.1007/978-90-481-9695-1_37
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