Negative Feedback Mediated by Fast Inhibitory Autapse Enhances Neuronal Oscillations Near a Hopf Bifurcation Point

One-parameter and two-parameter bifurcations of the Morris–Lecar (ML) neuron model with and without the fast inhibitory autapse, which is a synapse from a neuron onto itself, are investigated. The ...

[1]  Nancy Kopell,et al.  Rapid synchronization through fast threshold modulation , 1993, Biological Cybernetics.

[2]  William M. Connelly Autaptic Connections and Synaptic Depression Constrain and Promote Gamma Oscillations , 2014, PloS one.

[3]  L. Jain,et al.  Nonlinear dynamics and chaos methods in neurodynamics and complex data analysis , 2009 .

[4]  J. Xing,et al.  Blockade of Persistent Sodium Currents Contributes to the Riluzole-Induced Inhibition of Spontaneous Activity and Oscillations in Injured DRG Neurons , 2011, PloS one.

[5]  Xu Jian-Xue,et al.  Propagation of periodic and chaotic action potential trains along nerve fibers , 1997 .

[6]  Yanjun Zeng,et al.  Control of bursting behavior in neurons by autaptic modulation , 2013, Neurological Sciences.

[7]  Qi Wang,et al.  Autaptic activity-induced synchronization transitions in Newman-Watts network of Hodgkin-Huxley neurons. , 2015, Chaos.

[8]  P. Somogyi,et al.  Massive Autaptic Self-Innervation of GABAergic Neurons in Cat Visual Cortex , 1997, The Journal of Neuroscience.

[9]  G. Buzsáki,et al.  Gamma Oscillation by Synaptic Inhibition in a Hippocampal Interneuronal Network Model , 1996, The Journal of Neuroscience.

[10]  Soichi Nagao,et al.  Distinct cerebellar engrams in short-term and long-term motor learning , 2013, Proceedings of the National Academy of Sciences.

[11]  I. Hurwitz,et al.  Autaptic Excitation Elicits Persistent Activity and a Plateau Potential in a Neuron of Known Behavioral Function , 2009, Current Biology.

[12]  Huaguang Gu,et al.  Dynamics of period-doubling bifurcation to chaos in the spontaneous neural firing patterns , 2011, Cognitive Neurodynamics.

[13]  Mahmut Ozer,et al.  Autaptic pacemaker mediated propagation of weak rhythmic activity across small-world neuronal networks , 2016 .

[14]  Andrey Shilnikov,et al.  Spikes matter for phase-locked bursting in inhibitory neurons. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

[15]  Yong Chen,et al.  Effect of an autapse on the firing pattern transition in a bursting neuron , 2014, Commun. Nonlinear Sci. Numer. Simul..

[16]  J. Bing Experimental identification of a comb-shaped chaotic region in multiple parameter spaces simulated by the Hindmarsh—Rose neuron model , 2014 .

[17]  Alexey S. Kuznetsov,et al.  Exploring Neuronal Bistability at the Depolarization Block , 2012, PloS one.

[18]  Anthony A Grace,et al.  Antipsychotic Drugs Rapidly Induce Dopamine Neuron Depolarization Block in a Developmental Rat Model of Schizophrenia , 2011, The Journal of Neuroscience.

[19]  Jun Ma,et al.  Autapse-Induced Spiral Wave in Network of Neurons under Noise , 2014, PloS one.

[20]  Bard Ermentrout,et al.  When inhibition not excitation synchronizes neural firing , 1994, Journal of Computational Neuroscience.

[21]  Gary J. Bennett,et al.  A peripheral mononeuropathy in rat that produces disorders of pain sensation like those seen in man , 1988, Pain.

[22]  Zhiguo Zhao,et al.  The influence of single neuron dynamics and network topology on time delay-induced multiple synchronous behaviors in inhibitory coupled network , 2015 .

[23]  Huaguang Gu,et al.  Dynamics and Physiological Roles of Stochastic Firing Patterns Near Bifurcation Points , 2017, Int. J. Bifurc. Chaos.

[24]  J. E. Skinner,et al.  Chaos and physiology: deterministic chaos in excitable cell assemblies. , 1994, Physiological reviews.

[25]  Anthony A. Grace,et al.  Dopamine-cell depolarization block as a model for the therapeutic actions of antipsychotic drugs , 1997, Trends in Neurosciences.

[26]  Shuming Chen,et al.  Flip-flops soft error rate evaluation approach considering internal single-event transient , 2014, Science China Information Sciences.

[27]  Huaguang Gu,et al.  Potassium-induced bifurcations and chaos of firing patterns observed from biological experiment on a neural pacemaker , 2014 .

[28]  Teresa Ree Chay,et al.  BURSTING, SPIKING, CHAOS, FRACTALS, AND UNIVERSALITY IN BIOLOGICAL RHYTHMS , 1995 .

[29]  John R. Huguenard,et al.  Modulation of neocortical interneurons: extrinsic influences and exercises in self-control , 2005, Trends in Neurosciences.

[30]  E M Glaser,et al.  Autapses in neocortex cerebri: synapses between a pyramidal cell's axon and its own dendrites. , 1972, Brain research.

[31]  Qishao Lu,et al.  Codimension-two bifurcation analysis on firing activities in Chay neuron model , 2006 .

[32]  Eckehard Schöll,et al.  Bistable Dynamics Underlying Excitability of Ion Homeostasis in Neuron Models , 2013, PLoS Comput. Biol..

[33]  D. R. Verley,et al.  Bistable behavior originating in the axon of a crustacean motor neuron. , 2006, Journal of neurophysiology.

[34]  Frank Moss,et al.  Homoclinic bifurcation in a Hodgkin-Huxley model of thermally sensitive neurons. , 2000, Chaos.

[35]  Xiao-Jing Wang,et al.  Alternating and Synchronous Rhythms in Reciprocally Inhibitory Model Neurons , 1992, Neural Computation.

[36]  Ren Wei,et al.  Two Different Bifurcation Scenarios in Neural Firing Rhythms Discovered in Biological Experiments by Adjusting Two Parameters , 2008 .

[37]  M. Perc,et al.  Regulation of Irregular Neuronal Firing by Autaptic Transmission , 2016, Scientific Reports.

[38]  Huaguang Gu,et al.  Identification of neural firing patterns, frequency and temporal coding mechanisms in individual aortic baroreceptors , 2015, Front. Comput. Neurosci..

[39]  Zhiguo Zhao,et al.  Transitions between classes of neuronal excitability and bifurcations induced by autapse , 2017, Scientific Reports.

[40]  Huaguang Gu,et al.  Different bifurcation Scenarios of Neural Firing Patterns observed in the Biological Experiment on identical pacemakers , 2013, Int. J. Bifurc. Chaos.

[41]  A. Bacci,et al.  Enhancement of Spike-Timing Precision by Autaptic Transmission in Neocortical Inhibitory Interneurons , 2006, Neuron.

[42]  Weiwei Xiao,et al.  Difference Between Intermittent Chaotic Bursting and Spiking of Neural Firing Patterns , 2014, Int. J. Bifurc. Chaos.

[43]  Li Li,et al.  Identifying Distinct Stochastic Dynamics from Chaos: a Study on Multimodal Neural Firing Patterns , 2009, Int. J. Bifurc. Chaos.

[44]  D. Prince,et al.  Functional Autaptic Neurotransmission in Fast-Spiking Interneurons: A Novel Form of Feedback Inhibition in the Neocortex , 2003, The Journal of Neuroscience.

[45]  M. A. Masino,et al.  Bursting in Leech Heart Interneurons: Cell-Autonomous and Network-Based Mechanisms , 2002, The Journal of Neuroscience.

[46]  Ren Wei,et al.  Intermittent Chaotic Neural Firing Characterized by Non-Smooth Features , 2010 .

[47]  Hengtong Wang,et al.  Effect of autaptic activity on the response of a Hodgkin-Huxley neuron. , 2014, Chaos.

[48]  任维,et al.  Interpreting a period-adding bifurcation scenario in neural bursting patterns using border-collision bifurcation in a discontinuous map of a slow control variable , 2010 .

[49]  K. Pakdaman,et al.  Random dynamics of the Morris-Lecar neural model. , 2004, Chaos.

[50]  Matjaz Perc,et al.  Firing regulation of fast-spiking interneurons by autaptic inhibition , 2016, 1606.01358.

[51]  Hatsuo Hayashi,et al.  Chaotic and phase-locked responses of the somatosensory cortex to a periodic medial lemniscus stimulation in the anesthetized rat , 1996, Brain Research.

[52]  Christophe Pouzat,et al.  Autaptic inhibitory currents recorded from interneurones in rat cerebellar slices , 1998, The Journal of physiology.

[53]  Lei Xue,et al.  A basic bifurcation structure from bursting to spiking of injured nerve fibers in a two-dimensional parameter space , 2017, Cognitive Neurodynamics.

[54]  Willy Govaerts,et al.  MATCONT: A MATLAB package for numerical bifurcation analysis of ODEs , 2003, TOMS.

[55]  Li Li,et al.  A Series of bifurcation Scenarios in the Firing Pattern Transitions in an Experimental Neural pacemaker , 2004, Int. J. Bifurc. Chaos.

[56]  E Marder,et al.  Memory from the dynamics of intrinsic membrane currents. , 1996, Proceedings of the National Academy of Sciences of the United States of America.

[57]  Eugene M. Izhikevich,et al.  Neural excitability, Spiking and bursting , 2000, Int. J. Bifurc. Chaos.

[58]  Guanrong Chen,et al.  Biological experimental demonstration of bifurcations from bursting to spiking predicted by theoretical models , 2014 .