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Figure 1 | Nonlinear Biomedical Physics

Figure 1

From: Characterizing Deep Brain Stimulation effects in computationally efficient neural network models

Figure 1

Synchronized activity of the coupled neuron population. The membrane potentials of four neurons: v 1 (t) v 21 (t) v 50 (t) v 83 (t), randomly selected within a regular lattice of 100 neurons. Subscripts indicate their position in the lattice, ordered lexicographically. The membrane potential dynamics show the characteristic synchronized bursting activity, whereas in Figure 1, bottom side, the plot of the membrane potential on two different randomly selected neurons within the network is depicted, outlining the large amount of synchronization. The upper part of the diagonal shows a small side dispersion, due to the slightly different times of the bursting activity. Typical numerical values for the different variables are as follows: v j (t) [-0.3,0.14]; I jslow (t) [-0.008,0.012; . Parameters: g ca = 1.0; g k = 2.0;g l = 0.5;v ca = 1.0; v k = - 0.7; v l = -0.5; v 1 = -0.01; v 2 = 0.15; v 3 = 0.1; v 4 = 0.145; C= 1.0; φ = 1.15; v* = -0.22; α = 0.0; τ j = 10; Gaussian distributed ε j = 2·10-3(± 2·10-5) mean (± standard deviation); α s = 0.1; β s = 0.05;θ s = 0.2; σ s = 0.02; s= 0.4; σ g = 0.5; v s = -0.85; N = 100; dl = 0.1; D noise = 0.00001; τ noise = 5; c s = 0.1; c n = 2.0584.

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