Can intrinsic noise induce various resonant peaks?

We theoretically describe how weak signals may be efficiently transmitted throughout more than one frequency range in noisy excitable media by a sort of stochastic multiresonance. This helps us to reinterpret recent experiments in neuroscience and to suggest that many other systems in nature might be able to exhibit several resonances. In fact, the observed behavior happens in our model as a result of competition between (i) changes in the transmitted signals as if the units were varying their activation threshold, and (ii) adaptive noise realized in the model as rapid activity-dependent fluctuations of the connection intensities. These two conditions are indeed known to characterize heterogeneously networked systems of excitable units, e.g. sets of neurons and synapses in the brain. Our results may find application also in the design of detector devices.

[1]  Joaquín J. Torres,et al.  The role of synaptic facilitation in spike coincidence detection , 2008, Journal of Computational Neuroscience.

[2]  E Friauf,et al.  Giant neurons in the rat reticular formation: a sensorimotor interface in the elementary acoustic startle circuit? , 1994, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[3]  H. Markram,et al.  Physiology and anatomy of synaptic connections between thick tufted pyramidal neurones in the developing rat neocortex. , 1997, The Journal of physiology.

[4]  Vivien A. Casagrande,et al.  Biophysics of Computation: Information Processing in Single Neurons , 1999 .

[5]  Jianfeng Feng,et al.  Is the integrate-and-fire model good enough?--a review , 2001, Neural Networks.

[6]  A. Hodgkin,et al.  A quantitative description of membrane current and its application to conduction and excitation in nerve , 1952, The Journal of physiology.

[7]  C. Gray,et al.  Adaptive Coincidence Detection and Dynamic Gain Control in Visual Cortical Neurons In Vivo , 2003, Neuron.

[8]  Hanshuang Chen,et al.  Selective effects of noise by stochastic multi-resonance in coupled cells system , 2008 .

[9]  Raúl Toral,et al.  Diversity-induced resonance. , 2006, Physical review letters.

[10]  Rafael Doti,et al.  Ubiquitous Crossmodal Stochastic Resonance in Humans: Auditory Noise Facilitates Tactile, Visual and Proprioceptive Sensations , 2008, PloS one.

[11]  T. Hafting,et al.  Frequency of gamma oscillations routes flow of information in the hippocampus , 2009, Nature.

[12]  R. FitzHugh Impulses and Physiological States in Theoretical Models of Nerve Membrane. , 1961, Biophysical journal.

[13]  Paul H. E. Tiesinga,et al.  Rapid temporal modulation of synchrony in cortical interneuron networks with synaptic plasticity , 2005, Neurocomputing.

[14]  B. Connors,et al.  Efficacy of Thalamocortical and Intracortical Synaptic Connections Quanta, Innervation, and Reliability , 1999, Neuron.

[15]  J. M. G. Vilar,et al.  Stochastic Multiresonance , 1997 .

[16]  D. Wilkin,et al.  Neuron , 2001, Brain Research.

[17]  Z. Hou,et al.  Canard explosion and coherent biresonance in the rate oscillation of CO oxidation on platinum surface. , 2005, The journal of physical chemistry. A.

[18]  Néstor Parga,et al.  Correlations modulate the non-monotonic response of a neuron with short-term plasticity , 2004, Neurocomputing.

[19]  Z. Hou,et al.  System-size biresonance for intracellular calcium signaling. , 2004, Chemphyschem : a European journal of chemical physics and physical chemistry.

[20]  B. Spagnolo,et al.  Spike train statistics for consonant and dissonant musical accords in a simple auditory sensory model. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

[21]  Enhancement of coherent response by quenched disorder. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[22]  Hilbert J. Kappen,et al.  Competition Between Synaptic Depression and Facilitation in Attractor Neural Networks , 2006, Neural Computation.

[23]  M. Barbi,et al.  Stochastic resonance in the LIF models with input or threshold noise. , 2005, Bio Systems.

[24]  J Kurths,et al.  Stochastic multiresonance in the coupled relaxation oscillators. , 2005, Chaos.

[25]  H. Markram,et al.  The neural code between neocortical pyramidal neurons depends on neurotransmitter release probability. , 1997, Proceedings of the National Academy of Sciences of the United States of America.

[26]  Yutaka Sakai,et al.  The Ornstein-Uhlenbeck Process Does Not Reproduce Spiking Statistics of Neurons in Prefrontal Cortex , 1999, Neural Computation.

[27]  L. Abbott,et al.  Synaptic Depression and Cortical Gain Control , 1997, Science.

[28]  S. Yoshizawa,et al.  An Active Pulse Transmission Line Simulating Nerve Axon , 1962, Proceedings of the IRE.

[29]  Shiqun Zhu,et al.  Stochastic resonance driven by two different kinds of colored noise in a bistable system. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[30]  J. J. Torres,et al.  Modelling Neural Systems with Short‐Term Depression and Facilitation , 2007 .

[31]  Kurt Wiesenfeld,et al.  Stochastic resonance and the benefits of noise: from ice ages to crayfish and SQUIDs , 1995, Nature.

[32]  Peter Hänggi,et al.  Novel class of neural stochastic resonance and error-free information transfer. , 2008, Physical review letters.

[33]  Eugene M. Izhikevich,et al.  Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting , 2006 .

[34]  Wulfram Gerstner,et al.  SPIKING NEURON MODELS Single Neurons , Populations , Plasticity , 2002 .

[35]  B. Torres,et al.  Influence of the tectal zone on the distribution of synaptic boutons in the brainstem of goldfish , 1998, The Journal of comparative neurology.

[36]  J. García-Ojalvo,et al.  Effects of noise in excitable systems , 2004 .

[37]  J. J. Torres,et al.  Emergence of Resonances in Neural Systems: The Interplay between Adaptive Threshold and Short-Term Synaptic Plasticity , 2011, PloS one.

[38]  Beom Jun Kim,et al.  Double stochastic resonance peaks in systems with dynamic phase transitions , 2001 .

[39]  J J Torres,et al.  Unstable dynamics, nonequilibrium phases, and criticality in networked excitable media. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

[40]  J. J. Torres,et al.  Complex behavior in a network with time-dependent connections and silent nodes , 2007, 0710.3320.

[41]  R. Rosenfeld Nature , 2009, Otolaryngology--head and neck surgery : official journal of American Academy of Otolaryngology-Head and Neck Surgery.

[42]  H. Wio,et al.  Exact nonequilibrium potential for the FitzHugh-Nagumo model in the excitable and bistable regimes , 1998 .