Abstract
We study the effect of colored noise on the rhythmic spiking activity of neural systems in this paper. The phenomenon of the so-called inverse stochastic resonance , that is, noise with appropriate intensity suppresses the spiking activity in neural systems, is clearly observed in a special parameter regime. We find that the inhibition effect of colored noise is stronger than that of Gaussian white noise. Furthermore, our simulation results show that the inhibition effect of colored noise provides a useful mechanism for the generation of synchronized burst in type-2 mixed-feed-forward-feedback loop neuronal network motif, which indicates that such inhibition effect might have some biological implications.
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.References
Adey WR (1972) Organization of brain tissue: is the brain a noisy processor. Int J Neurosci 3(6):271–284
Chialvo DR, Longtin A, Muller-Gerking J (1997) Stochastic resonance in models of neuronal ensembles. Phys Rev E 55(2):1798–1808
Chik DTW, Wang Y, Wang ZD (2001) Stochastic resonance in a Hodgkin-Huxley neuron in the absence of external noise. Phys Rev E 64(2):021913
Collins JJ, Chow CC, Imhoff TT (1995) Stochastic resonance without tuning. Nature 376:236–238
Collins JJ, Imhoff TT, Grigg P (1996) Noise-enhanced information transmission in rat SA1 cutaneous mechanoreceptors via aperiodic stochastic resonance. J Neurophysiol 76(1):642–645
Deco G, Rolls ET, Romo R (2009) Stochastic dynamics as a principle of brain function. Prog Neurobiol 88(1):1–16
Destexhe A, Contreras D (2006) Neuronal computations with stochastic network states. Science 314(5796):85–90
Destexhe A, Rudolph M, Pare D (2003) The high-conductance state of neocortical neurons in vivo. Nat Rev Neurosci 4:739–751
Gailey PC, Neiman A, Collins JJ, Moss F (1997) Stochastic resonance in ensembles of nondynamical elements: the role of internal noise. Phys Rev Lett 79(23):4701–4704
Gerstner W, Kistler WM (2002) Spiking neuron models. Cambridge University Press, Cambridge
Guo D, Li C (2009) Stochastic and coherence resonance in feed-forward-loop neuronal network motifs. Phys Rev E 79(5):051921
Gutkin BS, Tuckwell HC, Jost J (2009) Inhibition of rhythmic neural spiking by noise: the occurrence of a minimum in activity with increasing noise. Naturwissenschaften 96(9):1091–1097
Hansel D, Sompolinsky H (1992) Synchronization and computation in a chaotic neural network. Phys Rev Lett 68(5):718–721
Hodgkin AL, Huxley AF (1952) A quantitative description of ion currents and its applications to conduction and excitation in nerve membranes. J Physiol 117:500–544
Kloeden PE, Platen E, Schurz H (1994) Numerical solution of SDE through computer experiments. Springer, Berlin
Lee SG, Kim S (1999) Parameter dependence of stochastic resonance in the stochastic Hodgkin-Huxley neuron. Phys Rev E 60(1):826–830
Li C (2008) Functions of neuronal network motifs. Phys Rev E 78(3):037101
Li C, Chen L, Aihara K (2006) Transient resetting: a novel mechanism for synchrony and its biological examples. PLoS Comput Biol 2(8):e103
Li Q, Gao Y (2008) Control of spiking regularity in a noisy complex neural network. Phys Rev E 77(3):036117
Lindner B, Schimansky-Geier L, Longtin A (2002) Maximizing spike train coherence and incoherence in the leaky integrate-and-fire model. Phys Rev E 66(3):031916
Milo R, Shen-Orr S, Itzkovitz S, Kashtan N, Chklovskii D, Alon U (2002) Network motifs: simple building blocks of complex networks. Science 298(5594):824–827
Neiman AB, Yakusheva TA, Russell DF (2007) Noise-induced transition to bursting in responses of paddlefish electroreceptor affrents. J Neurophysiol 98(5):2795–2806
Paydarfar D, Forger DB, Clay JR (2006) Noisy inputs and the induction of on-off switching behavior in a neuronal pacemaker. J Neurophysiol 96(6):3338–3348
Pikovsky AS, Kurths J (1997) Coherence resonance in a noise-driven excitable system. Phys Rev Lett 78(5):775–778
Reigl M, Alon U, Chklovskii DB (2004) Search for computational modules in the C. Elegans brain. BMC Biol 2(25):25
Sun X, Perc M, Lu Q, Kurths J (2008) Spatial coherence resonance on diffusive and small-world networks of Hodgkin-Huxley neurons. Chaos 18(2):023102
Tuckwell HC, Jost J (2010) The effects of various spatial distributions of weak noise on rhythmic spiking. J Comput Neurosci (in press). doi:10.1007/s10827-010-0260-5
Tuckwell HC, Jost J, Gutkin BS (2009) Inhibition and modulation of rhythmic neuronal spiking by noise. Phys Rev E 80(3):031907
Acknowledgements
We sincerely thank Prof. Chunguang Li and Feng Chen for valuable comments on an early version of this manuscript. This work is supposed by the award of the ongoing best PhD thesis support from the University of Electronic Science and Technology of China as well as the Chinese Universities Scientific Fund (Grant No. 2010QNA5031).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Guo, D. Inhibition of rhythmic spiking by colored noise in neural systems. Cogn Neurodyn 5, 293–300 (2011). https://doi.org/10.1007/s11571-011-9160-2
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11571-011-9160-2