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Network-State Modulation of Power-Law Frequency-Scaling in Visual Cortical Neurons

Figure 4

Conceptual scheme of the synchrony generator model and the corresponding conductance injection in model and in vitro neurons.

A Simple representation of the conductance generator. At each time step , with a probability proportional to the firing rate , k+1 neurons emit a spike synchronously. These spikes are then conveyed to the postsynaptic neuron with different delays, distributed according to a power-law probability density function (red curves). The arriving spikes then trigger post-synaptic conductances of exponential form (green curve, synaptic time course). The resulting conductance trace (green trace) has a PSD (blue curve) with a frequency power-law scaling behaviour. The analytical relation between the Fourier transform of the delay distribution and the PSD is given above the graphs. B The resulting synaptic conductance is then injected either in a model of single neuron or in a biological neuron through dynamic-clamp (see Materials and Methods). In both cases, the resulting membrane potential is measured and the corresponding PSD is estimated.

doi: https://doi.org/10.1371/journal.pcbi.1000519.g004