Synaptic plasticity induced transition of spike propagation in neuronal networks

We investigate the impact of short-term plasticity on spike propagation in neuronal networks. We shown that for different combinations of the synaptic rise and decay time, neurons in the network exhibit a variety of different spike propagation transitions as the parameter related to the short-term plasticity increases. We establish the criteria for the existence and stability of simple and composite traveling waves, and we verify the analytical results by means of numerical simulations. Interestingly, we discover that the coexistence of simple and composite traveling waves, as well as the coexistence of stable and unstable waves is possible, provided only the short-term plasticity is properly set.

[1]  William C. Troy,et al.  Traveling Waves and Synchrony in an Excitable Large-Scale Neuronal Network with Asymmetric Connections , 2008, SIAM J. Appl. Dyn. Syst..

[2]  Bard Ermentrout,et al.  Spatially Structured Activity in Synaptically Coupled Neuronal Networks: I. Traveling Fronts and Pulses , 2001, SIAM J. Appl. Math..

[3]  Richard Hans Robert Hahnloser,et al.  Sleep-related neural activity in a premotor and a basal-ganglia pathway of the songbird. , 2006, Journal of neurophysiology.

[4]  R. Zucker.  Short-term synaptic plasticity. , 1989 .

[5]  G. Laurent,et al.  Encoding of Olfactory Information with Oscillating Neural Assemblies , 1994, Science.

[6]  J. Rinzel,et al.  INTEGRATE-AND-FIRE MODELS OF NERVE MEMBRANE RESPONSE TO OSCILLATORY INPUT. , 1981 .

[7]  M. Choi,et al.  Range of shortcuts in the dynamic model of neural networks , 2010 .

[8]  M. Steriade.  Coherent oscillations and short-term plasticity in corticothalamic networks , 1999, Trends in Neurosciences.

[9]  Stephen Coombes,et al.  Evans Functions for Integral Neural Field Equations with Heaviside Firing Rate Function , 2004, SIAM J. Appl. Dyn. Syst..

[10]  Bard Ermentrout,et al.  The Analysis of Synaptically Generated Traveling Waves , 1998, Journal of Computational Neuroscience.

[11]  C. Eugene Wayne,et al.  Existence and Stability of Traveling Pulses in a Continuous Neuronal Network , 2005, SIAM J. Appl. Dyn. Syst..

[12]  Arnaud Tonnelier,et al.  Propagation of Spike Sequences in Neural Networks , 2010, SIAM J. Appl. Dyn. Syst..

[13]  R. Zucker.  Calcium- and activity-dependent synaptic plasticity , 1999, Current Opinion in Neurobiology.

[14]  Shijun Liao,et al.  Commun Nonlinear Sci Numer Simulat , 2013 .

[15]  B. Connors,et al.  Periodicity and directionality in the propagation of epileptiform discharges across neocortex. , 1988, Journal of neurophysiology.

[16]  Jian-Young Wu,et al.  Propagating Activation during Oscillations and Evoked Responses in Neocortical Slices , 1999, The Journal of Neuroscience.

[17]  Gaston H. Gonnet,et al.  On the LambertW function , 1996, Adv. Comput. Math..

[18]  M. Choi,et al.  Connectivity effects in the dynamic model of neural networks , 2009 .

[19]  J. Jack,et al.  Synaptic plasticity: hippocampal LTP , 1995, Current Opinion in Neurobiology.

[20]  P. Bressloff.  Traveling waves and pulses in a one-dimensional network of excitable integrate-and-fire neurons , 2000, Journal of mathematical biology.