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Fig. 8 | The Journal of Mathematical Neuroscience

Fig. 8

From: A Rate-Reduced Neuron Model for Complex Spiking Behavior

Fig. 8

Spatio-temporal spiking patterns. ( A ) Simulation of the augmented neural field (ANF) with parameter values given in Table 1. Shown is the firing rate \(S_{1} (\kappa_{1} u_{1}(t,x)-a_{1}(t,x)-\theta_{1} )\) of the first population. ( B ) Simulation of a corresponding network of 300 excitatory and 300 inhibitory Rulkov neurons, all-to-all coupled via simple exponential synapses. Both populations are equidistantly placed on the interval \([-1,1]\). Uncorrelated (in space and time) Gaussian noise with variance \(\sigma^{2}=\tfrac{1}{4}\) is added to the threshold parameter of each neuron. Shown is the spiking activity of the excitatory population. Each spike is denoted by a black dot

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