Inhibition of rhythmic spiking by colored noise in neural systems

• Adey WR (1972) Organization of brain tissue: is the brain a noisy processor. Int J Neurosci 3(6):271–284

  Article  PubMed  CAS  Google Scholar 

• Chialvo DR, Longtin A, Muller-Gerking J (1997) Stochastic resonance in models of neuronal ensembles. Phys Rev E 55(2):1798–1808

  Article  CAS  Google Scholar 

• 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

  Article  CAS  Google Scholar 

• Collins JJ, Chow CC, Imhoff TT (1995) Stochastic resonance without tuning. Nature 376:236–238

  Article  PubMed  CAS  Google Scholar 

• 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

  PubMed  CAS  Google Scholar 

• Deco G, Rolls ET, Romo R (2009) Stochastic dynamics as a principle of brain function. Prog Neurobiol 88(1):1–16

  Article  PubMed  Google Scholar 

• Destexhe A, Contreras D (2006) Neuronal computations with stochastic network states. Science 314(5796):85–90

  Article  PubMed  CAS  Google Scholar 

• Destexhe A, Rudolph M, Pare D (2003) The high-conductance state of neocortical neurons in vivo. Nat Rev Neurosci 4:739–751

  Article  PubMed  CAS  Google Scholar 

• 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

  Article  CAS  Google Scholar 

• Gerstner W, Kistler WM (2002) Spiking neuron models. Cambridge University Press, Cambridge

  Google Scholar 

• Guo D, Li C (2009) Stochastic and coherence resonance in feed-forward-loop neuronal network motifs. Phys Rev E 79(5):051921

  Article  Google Scholar 

• 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

  Article  PubMed  CAS  Google Scholar 

• Hansel D, Sompolinsky H (1992) Synchronization and computation in a chaotic neural network. Phys Rev Lett 68(5):718–721

  Article  PubMed  Google Scholar 

• 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

  PubMed  CAS  Google Scholar 

• Kloeden PE, Platen E, Schurz H (1994) Numerical solution of SDE through computer experiments. Springer, Berlin

  Book  Google Scholar 

• Lee SG, Kim S (1999) Parameter dependence of stochastic resonance in the stochastic Hodgkin-Huxley neuron. Phys Rev E 60(1):826–830

  Article  CAS  Google Scholar 

• Li C (2008) Functions of neuronal network motifs. Phys Rev E 78(3):037101

  Article  Google Scholar 

• Li C, Chen L, Aihara K (2006) Transient resetting: a novel mechanism for synchrony and its biological examples. PLoS Comput Biol 2(8):e103

  Article  PubMed  Google Scholar 

• Li Q, Gao Y (2008) Control of spiking regularity in a noisy complex neural network. Phys Rev E 77(3):036117

  Article  Google Scholar 

• 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

  Article  Google Scholar 

• 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

  Article  PubMed  CAS  Google Scholar 

• Neiman AB, Yakusheva TA, Russell DF (2007) Noise-induced transition to bursting in responses of paddlefish electroreceptor affrents. J Neurophysiol 98(5):2795–2806

  Article  PubMed  Google Scholar 

• 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

  Article  PubMed  Google Scholar 

• Pikovsky AS, Kurths J (1997) Coherence resonance in a noise-driven excitable system. Phys Rev Lett 78(5):775–778

  Article  CAS  Google Scholar 

• Reigl M, Alon U, Chklovskii DB (2004) Search for computational modules in the C. Elegans brain. BMC Biol 2(25):25

  Article  PubMed  Google Scholar 

• 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

  Article  PubMed  Google Scholar 

• 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

  Article  Google Scholar 

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