Fig 5. Critical characteristics in temporal dynamics of bursts in dominant cortical rhythms are independent of the scale of analysis.
Distributions of θ- and δ-burst durations for different scales of observation defined by the window size w (Fig 1). (a) Rescaled distribution Pθ of θ-burst durations for control rats over a 24 h period (pooled data). Distributions obtained for different scales of observation are rescaled by the window size w and consistently show the same power-law behavior with α = 2.35, as proven by the data collapse (red line). Small deviations observed on the tail of Pθ for w > 6 are due to coarse-graining effect at large-window sizes. Inset: Distributions Pθ for different window sizes w (not rescaled). (b) Rescaled distribution of δ-burst durations for control rats over a 24 h period (pooled data). Distributions obtained for different window sizes w are rescaled by 〈dδ〉ξ, where 〈dδ〉 is the mean δ-burst duration and ξ = 1.2, and collapse onto a single function that is well described by a Weibull distribution f(d; λ, β) with λ = 0.55 and β = 0.59 (black line). Inset: Distributions Pδ for different window sizes (not rescaled). (c) Rescaled distribution of θ-burst durations for PZ-lesioned rats over a 24h period (pooled data). Distributions obtained for different window sizes w are rescaled by the corresponding window size, and consistently show the same power-law behavior with α = 2.35, as proven by the data collapse (red line). Small deviation observed on the tail of Pθ for w > 6 are due to large-window effects. Inset: Distributions Pθ for different window sizes (not rescaled). (d) Rescaled distribution of δ-burst durations for PZ-lesioned rats over a 24 h period (pooled data). Distributions are rescaled by 〈dδ〉ξ, with ξ = 1.2, and collapse onto a single function following a Weibull behavior f(d; λ, β) (black line) with λ = 0.44 and β = 0.54. Inset: Distributions Pδ for different window sizes (not rescaled). Results in all panels are obtained for fixed threshold Th = 1 on the ratio Rθδ (Fig 1). Results are consistent when considering separately light and dark periods (Fig D and Fig E in S1 File).