Skip to main content
Top
Published in: Cognitive Neurodynamics 3/2011

01-09-2011 | Research Article

Inhibition of rhythmic spiking by colored noise in neural systems

Author: Daqing Guo

Published in: Cognitive Neurodynamics | Issue 3/2011

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

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.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
go back to reference Adey WR (1972) Organization of brain tissue: is the brain a noisy processor. Int J Neurosci 3(6):271–284PubMedCrossRef Adey WR (1972) Organization of brain tissue: is the brain a noisy processor. Int J Neurosci 3(6):271–284PubMedCrossRef
go back to reference Chialvo DR, Longtin A, Muller-Gerking J (1997) Stochastic resonance in models of neuronal ensembles. Phys Rev E 55(2):1798–1808CrossRef Chialvo DR, Longtin A, Muller-Gerking J (1997) Stochastic resonance in models of neuronal ensembles. Phys Rev E 55(2):1798–1808CrossRef
go back to reference 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):021913CrossRef 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):021913CrossRef
go back to reference Collins JJ, Imhoff TT, Grigg P (1996) Noise-enhanced information transmission in rat SA1 cutaneous mechanoreceptors via aperiodic stochastic resonance. J Neurophysiol 76(1):642–645PubMed Collins JJ, Imhoff TT, Grigg P (1996) Noise-enhanced information transmission in rat SA1 cutaneous mechanoreceptors via aperiodic stochastic resonance. J Neurophysiol 76(1):642–645PubMed
go back to reference Deco G, Rolls ET, Romo R (2009) Stochastic dynamics as a principle of brain function. Prog Neurobiol 88(1):1–16PubMedCrossRef Deco G, Rolls ET, Romo R (2009) Stochastic dynamics as a principle of brain function. Prog Neurobiol 88(1):1–16PubMedCrossRef
go back to reference Destexhe A, Contreras D (2006) Neuronal computations with stochastic network states. Science 314(5796):85–90PubMedCrossRef Destexhe A, Contreras D (2006) Neuronal computations with stochastic network states. Science 314(5796):85–90PubMedCrossRef
go back to reference Destexhe A, Rudolph M, Pare D (2003) The high-conductance state of neocortical neurons in vivo. Nat Rev Neurosci 4:739–751PubMedCrossRef Destexhe A, Rudolph M, Pare D (2003) The high-conductance state of neocortical neurons in vivo. Nat Rev Neurosci 4:739–751PubMedCrossRef
go back to reference 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):4701–4704CrossRef 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):4701–4704CrossRef
go back to reference Gerstner W, Kistler WM (2002) Spiking neuron models. Cambridge University Press, Cambridge Gerstner W, Kistler WM (2002) Spiking neuron models. Cambridge University Press, Cambridge
go back to reference Guo D, Li C (2009) Stochastic and coherence resonance in feed-forward-loop neuronal network motifs. Phys Rev E 79(5):051921CrossRef Guo D, Li C (2009) Stochastic and coherence resonance in feed-forward-loop neuronal network motifs. Phys Rev E 79(5):051921CrossRef
go back to reference 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):1091–1097PubMedCrossRef 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):1091–1097PubMedCrossRef
go back to reference Hansel D, Sompolinsky H (1992) Synchronization and computation in a chaotic neural network. Phys Rev Lett 68(5):718–721PubMedCrossRef Hansel D, Sompolinsky H (1992) Synchronization and computation in a chaotic neural network. Phys Rev Lett 68(5):718–721PubMedCrossRef
go back to reference Hodgkin AL, Huxley AF (1952) A quantitative description of ion currents and its applications to conduction and excitation in nerve membranes. J Physiol 117:500–544PubMed Hodgkin AL, Huxley AF (1952) A quantitative description of ion currents and its applications to conduction and excitation in nerve membranes. J Physiol 117:500–544PubMed
go back to reference Kloeden PE, Platen E, Schurz H (1994) Numerical solution of SDE through computer experiments. Springer, BerlinCrossRef Kloeden PE, Platen E, Schurz H (1994) Numerical solution of SDE through computer experiments. Springer, BerlinCrossRef
go back to reference Lee SG, Kim S (1999) Parameter dependence of stochastic resonance in the stochastic Hodgkin-Huxley neuron. Phys Rev E 60(1):826–830CrossRef Lee SG, Kim S (1999) Parameter dependence of stochastic resonance in the stochastic Hodgkin-Huxley neuron. Phys Rev E 60(1):826–830CrossRef
go back to reference Li C, Chen L, Aihara K (2006) Transient resetting: a novel mechanism for synchrony and its biological examples. PLoS Comput Biol 2(8):e103PubMedCrossRef Li C, Chen L, Aihara K (2006) Transient resetting: a novel mechanism for synchrony and its biological examples. PLoS Comput Biol 2(8):e103PubMedCrossRef
go back to reference Li Q, Gao Y (2008) Control of spiking regularity in a noisy complex neural network. Phys Rev E 77(3):036117CrossRef Li Q, Gao Y (2008) Control of spiking regularity in a noisy complex neural network. Phys Rev E 77(3):036117CrossRef
go back to reference 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):031916CrossRef 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):031916CrossRef
go back to reference 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):824–827PubMedCrossRef 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):824–827PubMedCrossRef
go back to reference Neiman AB, Yakusheva TA, Russell DF (2007) Noise-induced transition to bursting in responses of paddlefish electroreceptor affrents. J Neurophysiol 98(5):2795–2806PubMedCrossRef Neiman AB, Yakusheva TA, Russell DF (2007) Noise-induced transition to bursting in responses of paddlefish electroreceptor affrents. J Neurophysiol 98(5):2795–2806PubMedCrossRef
go back to reference 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):3338–3348PubMedCrossRef 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):3338–3348PubMedCrossRef
go back to reference Pikovsky AS, Kurths J (1997) Coherence resonance in a noise-driven excitable system. Phys Rev Lett 78(5):775–778CrossRef Pikovsky AS, Kurths J (1997) Coherence resonance in a noise-driven excitable system. Phys Rev Lett 78(5):775–778CrossRef
go back to reference Reigl M, Alon U, Chklovskii DB (2004) Search for computational modules in the C. Elegans brain. BMC Biol 2(25):25PubMedCrossRef Reigl M, Alon U, Chklovskii DB (2004) Search for computational modules in the C. Elegans brain. BMC Biol 2(25):25PubMedCrossRef
go back to reference 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):023102PubMedCrossRef 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):023102PubMedCrossRef
go back to reference Tuckwell HC, Jost J, Gutkin BS (2009) Inhibition and modulation of rhythmic neuronal spiking by noise. Phys Rev E 80(3):031907CrossRef Tuckwell HC, Jost J, Gutkin BS (2009) Inhibition and modulation of rhythmic neuronal spiking by noise. Phys Rev E 80(3):031907CrossRef
Metadata
Title
Inhibition of rhythmic spiking by colored noise in neural systems
Author
Daqing Guo
Publication date
01-09-2011
Publisher
Springer Netherlands
Published in
Cognitive Neurodynamics / Issue 3/2011
Print ISSN: 1871-4080
Electronic ISSN: 1871-4099
DOI
https://doi.org/10.1007/s11571-011-9160-2

Other articles of this Issue 3/2011

Cognitive Neurodynamics 3/2011 Go to the issue