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A multi-frequency whole-brain neural mass model with homeostatic feedback inhibition

Fig 3

Single-node dynamics.

A) Modulation of oscillatory frequency in single-node simulations. Normalized PSD as a function of α versus γ subpopulation proportion, r^α, in the single-region model. The values shown here are the average of 50 random seeds. Note that PSD estimates are computed on a discrete frequency grid (Welch), so narrow-band ridges may appear step-like with r^α. B) Noise-free simulations with fixed r^α = 0.5, showing the target firing rate ρ versus the time-averaged pyramidal firing rate produced by the model. The ISP is “clamping” the ⟨rate⟩ ≈ ρ, which is an indicator of a successful feedback inhibition regulation. C) Same simulations as in (B), showing the target firing rate ρ versus the time-averaged feedback inhibition, given by the inhibitory-to-excitatory local connectivity parameter C₄ (the steady-state value reached by ISP to achieve the clamping in B). D) Peak frequency versus external input for the “fast” γ subpopulation (r^α = 0) and the “slow” α subpopulation (r^α = 1). The dashed vertical lines correspond to the traces in E) for r^α = 1, and F) for r^α = 0.

doi: https://doi.org/10.1371/journal.pcbi.1013463.g003