Stochastic Bursting Synchronization in a Population of Subthreshold Izhikevich Neurons Woochang Lim1 and Sang-Yoon Kim2 1Department of Science Education, Daegu National University of Education 2Department of Physics, Kangwon National University Introduction  Representative Bursting Neurons Cortical Bursting Neurons, Thalamocortical relay neurons, Thalamic recticular neurons, Hippocampal pyramidal neurons, Purkinje cells in the cerebellum Bursting of cat visual cortical neuron  Three major Hypotheses on the Importance of Bursting in Neuroscience (1) Burstings are necessary to overcome the synaptic transmission failure. (2) Burstings can transmit saliency of the input because the effect of bursting on the postsynaptic neuron is stronger than a single spike. (3) Burstings can be used for selective communication between neurons, where the interspike frequency within the bursts encodes the channel of communication. Emergence of Collective Coherence  Thermodynamic Order Parameter Global Potential: Mean Square Deviation of VG: As N  then O  non-zero (zero) limit value for coherent (incoherent) states. Incoherent State Coherent State Incoherent State Globally-Coupled Excitatory Izhikevich Neurons Stochastic Bursting Synchronization  Burst and Spike Synchronization Hedgehog-Like Limit Cycle with Spines  Burst Synchronization without Spike Synchronization Loss of Spike Synchronization in Each Burst Band Regular Limit Cycle without Spines Parameters for regular-spiking cortical excitatory neuron: a=0.02, b=0.2, c=-65, d=8 Parameters for excitatory synapse: =10, =0.5, Vsyn=10, v*=0, =2 Spiking in the Single Izhikevich Neuron  Firing Transition in the Single Izhikevich Neuron Transition to firing occurs IDC=I*DC (~3.78) IDC < I*DC: Resting state; IDC>I*DC: Spiking state Mean firing rate IDC=3.6 IDC=3.9  Individual Neurons Exhibit Noise-Induced Bursting. Two Kinds of Spike and Burst Synchronization Occurs, In Contrast to Spiking Neurons Showing Only Spike Synchronization.  Characterization of Degree of Stochastic Bursting Synchronization  Noise-induced Spiking in the Subthreshold Izhikevich Neuron for IDC=3.6 Characterization of Synchronization Degree  Synchronization Measure Measuring the degree of resemblance between the global and individual output signals Bursting in Individual Neurons  Transition from Spiking to Bursting in Individual Neuron for IDC=3.6 & D=0.5 J<J* (~0.57): Individual neurons exhibit spikings. J>J*: Individual neurons exhibit burstings. Increase in J, No. of spikes in the burst increases. Summary  Emergence of Stochastic Bursting Synchronization in An Intermediate Range of Noise Intensity  Associated with Cognitive Brain Rhythms (sensory perception, multisensory integration, selective attention, working memory)