Stochastic resonance induced by exogenous noise in a model of a neuronal network

This study investigates the possibility of using exogenous noise to restore the processing performances of neuronal systems where the endogenous noise is reduced due to the ageing or to degenerative diseases. This idea is based on the assumption, supported by theoretical studies, that the endogenous noise has a positive role in neuronal signal detection and that its reduction impairs the system function. Results, obtained on a two-layers feedforward network, show the onset of the Stochastic Resonance (SR) behavior, as long as the exogenous noise is properly tailored and filtered. The amount of noise to be furnished from the outside to optimize the system performance depends on the residual level of endogenous noise, indicating that both kinds of noise cooperate to the signal detection. These results support potentially new bioengineering applications where exogenous noise is furnished to enhance signal detectability.

[1]  André Longtin,et al.  Stochastic resonance in models of neuronal ensembles , 1997 .

[2]  Daqing Guo,et al.  Stochastic and coherence resonance in feed-forward-loop neuronal network motifs. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[3]  Michael Rudolph,et al.  Tuning Neocortical Pyramidal Neurons between Integrators and Coincidence Detectors , 2003, Journal of Computational Neuroscience.

[4]  Adi R. Bulsara,et al.  Signal enhancement in a r.f. SQUID using stochastic resonance , 1995 .

[5]  Massimo Riani,et al.  Visual Perception of Stochastic Resonance , 1997 .

[6]  J. Weil Pebble-bed design returns [nuclear reactor] , 2001 .

[7]  J. White,et al.  Channel noise in neurons , 2000, Trends in Neurosciences.

[8]  F. Apollonio,et al.  Channel noise enhances signal detectability in a model of acoustic neuron through the stochastic resonance paradigm , 2009, 2009 Annual International Conference of the IEEE Engineering in Medicine and Biology Society.

[9]  Fox,et al.  Emergent collective behavior in large numbers of globally coupled independently stochastic ion channels. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[10]  Frank Rattay,et al.  Basics of hearing theory and noise in cochlear implants , 2000 .

[11]  L. Tarricone,et al.  Integrated models for the analysis of biological effects of EM fields used for mobile communications , 2000 .

[12]  Francesca Apollonio,et al.  Channel noise may tune electromagnetic fields detectability in neurons: Stochastic resonance paradigm in a HH-like model , 2005 .

[13]  Michel Baudry,et al.  Use of behavioural stochastic resonance by paddle ® sh for feeding , 1999 .

[14]  G. Ermentrout,et al.  Reliability, synchrony and noise , 2008, Trends in Neurosciences.

[15]  Francesca Apollonio,et al.  A Consensus Panel Review of Central Nervous System Effects of the Exposure to Low-Intensity Extremely Low-Frequency Magnetic Fields , 2013, Brain Stimulation.

[16]  A. Paffi,et al.  Effects of an Exogenous Noise on a Realistic Network Model: Encoding of an EM Signal , 2007, 2007 29th Annual International Conference of the IEEE Engineering in Medicine and Biology Society.

[17]  J T Rubinstein,et al.  Threshold fluctuations in an N sodium channel model of the node of Ranvier. , 1995, Biophysical journal.

[18]  R. Fox Stochastic versions of the Hodgkin-Huxley equations. , 1997, Biophysical journal.

[19]  L. M. Ward,et al.  Stochastic resonance and sensory information processing: a tutorial and review of application , 2004, Clinical Neurophysiology.

[20]  Idan Segev,et al.  Methods in Neuronal Modeling , 1988 .

[21]  David Allingham,et al.  THE APPLICATION OF SUPRATHRESHOLD STOCHASTIC RESONANCE TO COCHLEAR IMPLANT CODING , 2002, The Random and Fluctuating World.

[22]  Jay T. Rubinstein,et al.  Comparison of Algorithms for the Simulation of Action Potentials with Stochastic Sodium Channels , 2002, Annals of Biomedical Engineering.

[23]  Mark C. W. van Rossum,et al.  Fast Propagation of Firing Rates through Layered Networks of Noisy Neurons , 2002, The Journal of Neuroscience.

[24]  Charles Polk,et al.  CRC Handbook of Biological Effects of Electromagnetic Fields , 1986 .

[25]  F. Apollonio,et al.  Feasibility for Microwaves Energy to Affect Biological Systems Via Nonthermal Mechanisms: A Systematic Approach , 2013, IEEE Transactions on Microwave Theory and Techniques.

[26]  R. Adair,et al.  Simple neural networks for the amplification and utilization of small changes in neuron firing rates , 2001, Proceedings of the National Academy of Sciences of the United States of America.

[27]  A. Longtin Stochastic resonance in neuron models , 1993 .

[28]  Caterina Merla,et al.  Microdosimetric Study for Nanosecond Pulsed Electric Fields on a Cell Circuit Model with Nucleus , 2013, The Journal of Membrane Biology.

[29]  Ian C. Bruce,et al.  Implementation Issues in Approximate Methods for Stochastic Hodgkin–Huxley Models , 2007, Annals of Biomedical Engineering.

[30]  Caterina Merla,et al.  Novel Passive Element Circuits for Microdosimetry of Nanosecond Pulsed Electric Fields , 2012, IEEE Transactions on Biomedical Engineering.

[31]  Paul J. Abbas,et al.  Effects of electrode-to-fiber distance on temporal neural response with electrical stimulation , 2004, IEEE Transactions on Biomedical Engineering.

[32]  William W. Lytton Optimizing Synaptic Conductance Calculation for Network Simulations , 1996, Neural Computation.

[33]  Michael Rudolph,et al.  Do Neocortical Pyramidal Neurons Display Stochastic Resonance? , 2001, Journal of Computational Neuroscience.

[34]  P Roper,et al.  Enhanced coding in a cochlear-implant model using additive noise: aperiodic stochastic resonance with tuning. , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[35]  Francesca Apollonio,et al.  Modeling electromagnetic fields detectability in a HH-like neuronal system: stochastic resonance and window behavior , 2006, Biological Cybernetics.

[36]  Michele Giugliano,et al.  Accurate and Fast Simulation of Channel Noise in Conductance-Based Model Neurons by Diffusion Approximation , 2011, PLoS Comput. Biol..

[37]  Adi R. Bulsara,et al.  Single effective neuron: dendritic coupling effects and stochastic resonance , 1993, Biological Cybernetics.

[38]  Ya Jia,et al.  Effects of patch temperature on spontaneous action potential train due to channel fluctuations: coherence resonance. , 2005, Bio Systems.

[39]  Francesca Apollonio,et al.  Effects of Exogenous Noise in a Silent Neuron Model: Firing Induction and EM Signal Detection , 2006, 2006 International Conference of the IEEE Engineering in Medicine and Biology Society.

[40]  Frank Moss,et al.  Use of behavioural stochastic resonance by paddle fish for feeding , 1999, Nature.

[41]  E R Lewis,et al.  Essential roles of noise in neural coding and in studies of neural coding. , 2000, Bio Systems.

[42]  P. Landa Mechanism of stochastic resonance , 2004 .

[43]  John P. Miller,et al.  Broadband neural encoding in the cricket cereal sensory system enhanced by stochastic resonance , 1996, Nature.

[44]  L. Pinneo On noise in the nervous system. , 1966, Psychological review.

[45]  Frank Moss,et al.  Noise enhancement of information transfer in crayfish mechanoreceptors by stochastic resonance , 1993, Nature.

[46]  Feng Liu,et al.  Frequency sensitivity in Hodgkin–Huxley systems , 2001, Biological Cybernetics.

[47]  Hatsuo Hayashi,et al.  Stochastic resonance in the hippocampal CA3-CA1 model: a possible memory recall mechanism , 2002, Neural Networks.

[48]  F. Apollonio,et al.  Enhancement of EM Signal Detectability in a Realistic Model of Feedforward Neuronal Network , 2007, 2007 3rd International IEEE/EMBS Conference on Neural Engineering.

[49]  Terrence J. Sejnowski,et al.  Synthesis of models for excitable membranes, synaptic transmission and neuromodulation using a common kinetic formalism , 1994, Journal of Computational Neuroscience.

[50]  Eric Shea-Brown,et al.  The What and Where of Adding Channel Noise to the Hodgkin-Huxley Equations , 2011, PLoS Comput. Biol..

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

[52]  Caterina Merla,et al.  Microwave Exposure Systems for In Vivo Biological Experiments: A Systematic Review , 2013, IEEE Transactions on Microwave Theory and Techniques.

[53]  Eric Shea-Brown,et al.  Stochastic differential equation models for ion channel noise in Hodgkin-Huxley neurons. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

[54]  Fan-Gang Zeng,et al.  Human hearing enhanced by noise 1 1 Published on the World Wide Web on 23 May 2000. , 2000, Brain Research.

[55]  Gregoire Nicolis,et al.  Stochastic resonance , 2007, Scholarpedia.

[56]  Christof Koch,et al.  Subthreshold Voltage Noise Due to Channel Fluctuations in Active Neuronal Membranes , 2000, Journal of Computational Neuroscience.

[57]  Robert S Hong,et al.  Signal Coding in Cochlear Implants: Exploiting Stochastic Effects of Electrical Stimulation , 2003, The Annals of otology, rhinology & laryngology. Supplement.

[58]  Mark D. McDonnell,et al.  The benefits of noise in neural systems: bridging theory and experiment , 2011, Nature Reviews Neuroscience.

[59]  Derek Abbott,et al.  What Is Stochastic Resonance? Definitions, Misconceptions, Debates, and Its Relevance to Biology , 2009, PLoS Comput. Biol..

[60]  P. Belafsky,et al.  Topical Nasal Anesthesia and Laryngopharyngeal Sensory Testing: A Prospective, Double-Blind Crossover Study , 2003, The Annals of otology, rhinology, and laryngology.

[61]  R. Traub,et al.  A model of a CA3 hippocampal pyramidal neuron incorporating voltage-clamp data on intrinsic conductances. , 1991, Journal of neurophysiology.

[62]  Kazuyuki Aihara,et al.  Bridging rate coding and temporal spike coding by effect of noise. , 2002, Physical review letters.

[63]  F. James,et al.  Monte Carlo theory and practice , 1980 .