Abstract
We propose a stochastic model of a neuronal population in cases where synaptic delays and also inhibitory coupling are present. We investigate the firing patterns and its control of a neuronal population by means of Fokker-Planck approach. Numerical simulations show that synaptic transmission delay can suppress oscillatory synchronization of neuronal firing and enhance synchronized firing behavior. Neuronal stimulation also indicate that effective desynchronization occur by external stimulation.
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
Kreiter, A.K. and Singer, W.: Stimulus-dependent synchronization of neuronal responses in the visual cortex of the awake macaque monkey, J. Neurosci., 16 (1996) 2381–2396.
Eckhorn, R., Bauer, R., Jordan, W., Brosch, M., Kruse, W., Munk, M. and Reitboeck, H.J.: Coherent oscillations: A mechanism of feature linking in the visual cortex? Multiple electrode and correlation analyses in the cat, Biol. Cybern., 60 (1988) 121–130.
Singer, W.: Consciousness and the structure of neuronal representations, Philos. Trans. R. Soc. Lond. B Biol. Sci., 353 (1998) 1829–1840.
Tass, P. A.: Phase resetting in Medicine and Biology, Springer-Verlag, Berlin (1999).
Wang, R., Zhang, Z.: Nonlinear stochastic models of neurons activities, Neurocomputing, 51 (2003) 401–411.
Wang, R., Zhang, Z.: Analysis of dynamics of the phase resetting on the set of the population of neurons, Int. J. Nonlinear Sci. Numer. Simul., 4 (2003) 203–208.
Jiao, X., Wang, R.: Synchronization in neuronal population with the variable coupling strength in the presence of external stimulus. Appl. Phys. Lett., 88 (2006) 203901.
Wang, R., Jiao, X.: Stochastic model and neural coding of large-scale neuronal population with variable coupling strength, Neurocomputing, 69 (2006) 778–785.
Jiao, X., Wang, R,: Nonlinear dynamic model and neural coding of neuronal network with the variable coupling strength in the presence of external stimuli, Appl. Phys. Lett., 87 (2005) 083901.
Izhikevich Z.M., Phase models with explicit time delays, Phys. Rev. E, 58 (1998) 905–908.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Jiao, X., Wang, R. (2008). Synchronous Firing and Its Control in Neuronal Population with Time Delay. In: Wang, R., Shen, E., Gu, F. (eds) Advances in Cognitive Neurodynamics ICCN 2007. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-8387-7_38
Download citation
DOI: https://doi.org/10.1007/978-1-4020-8387-7_38
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-8386-0
Online ISBN: 978-1-4020-8387-7
eBook Packages: Biomedical and Life SciencesBiomedical and Life Sciences (R0)