Impact of hybrid autapse on firing regularity in a Hodgkin-Huxley neuron

In this paper, the effects of autapse (a kind of synapse formed between the axon or soma of a neuron and its own dendrites) on the firing regularity and the firing rate in single Hodgkin-Huxley neuron are investigated. We consider that Hodgkin-Huxley neuron has two autapses. It is supposed that one of them is electrical synapse and the other is chemical synapse. Obtained results indicate that autapse with proper parameter values (delay time and autaptic conductance) prominently increases the firing regularity and the firing rate of a Hodgkin-Huxley neuron.

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

[2]  Hengtong Wang,et al.  Firing dynamics of an autaptic neuron , 2015, 1509.05556.

[3]  A. Karabelas,et al.  Evidence for autapses in the substantia nigra , 1980, Brain Research.

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

[5]  Melburn R. Park,et al.  Recurrent inhibition in the rat neostriatum , 1980, Brain Research.

[6]  Ergin Yılmaz,et al.  Enhancement of pacemaker induced stochastic resonance by an autapse in a scale-free neuronal network , 2016, Science China Technological Sciences.

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

[8]  H. Markram,et al.  Frequency and Dendritic Distribution of Autapses Established by Layer 5 Pyramidal Neurons in the Developing Rat Neocortex: Comparison with Synaptic Innervation of Adjacent Neurons of the Same Class , 1996, The Journal of Neuroscience.

[9]  Lutz Schimansky-Geier,et al.  Spontaneous spiking in an autaptic Hodgkin-Huxley setup. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

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

[11]  A. Hodgkin,et al.  A quantitative description of membrane current and its application to conduction and excitation in nerve , 1990 .

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

[13]  Mahmut Ozer,et al.  Delayed feedback and detection of weak periodic signals in a stochastic Hodgkin–Huxley neuron , 2015 .

[14]  D. Potter,et al.  Transmission at the giant motor synapses of the crayfish , 1959, The Journal of physiology.

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

[16]  Jun Ma,et al.  Autapse-induced target wave, spiral wave in regular network of neurons , 2014 .

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

[18]  Peter Hänggi,et al.  Stochastic resonance in biology. How noise can enhance detection of weak signals and help improve biological information processing. , 2002, Chemphyschem : a European journal of chemical physics and physical chemistry.

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