Figure 1Experimental setup and beta band modulation during sensory task.(A) 4-year-old child wearing an OPM-MEG helmet (consent and authorisation for publication was obtained). (B) Schematic diagram of the whole system inside the shielded room. (C) Schematic illustration of stimulus timings and a photo of the somatosensory stimulators. “Braille” stimulators each comprise 8 pins, which can be controlled independently; all 8 were used simultaneously to deliver the stimuli.Figure 2:Data from a single participant:(A) Brain plots show slices through the left motor cortex, with a pseudo-T-statistical map of beta modulation for a single 7-year-old participant. The blue peaks indicate locations of largest beta amplitude reduction during stimulation for index finger trials (digit 2/D2), while the red peaks show the little finger (digit 5/D5). (B) Time frequency spectra showing neural oscillatory amplitude modulation (fractional change in spectral amplitude relative to baseline measured in the 2.5-3 s window) for both fingers, using data extracted from the location of peak beta modulation (left sensorimotor cortex). Note the beta amplitude reduction during stimulation, as expected.Figure 3:Beta band modulation with age:(A) Brain plots show slices through the left motor cortex, with a pseudo-T-statistical map of beta modulation (blue/black) overlaid on the standard brain. Time frequency spectrograms show modulation of the amplitude of neural oscillations (fractional change in spectral amplitude relative to the baseline measured in the 2.5-3 s window). In all cases results were extracted from the location of peak beta desynchronisation (in the left sensorimotor cortex). Note the clear beta amplitude reduction during stimulation. (B) Difference in beta-band amplitude (0.3-0.8 s window vs 1-1.5 s window) plotted as a function of age (i.e., each data point shows a different participant; triangles represent children, circles represent adults). Note significant correlation (R2=0.29, p=0.00004*). Also, all data here relate to the index finger stimulation; similar results are available for the little finger stimulation in supplementary information Figure S1.Figure 4Functional connectivity – estimated using Amplitude Envelope Correlation (AEC) – varies with age.(A) Connectivity matrices constructed using 78 regions of the AAL atlas and glass brains showing average connectomes across groups and corresponding glass brains showing the strongest 150 connections. AEC was estimated across the entire task recording. (B) Global average connectivity increases significantly with age (𝑅2 = 0.42, 𝑝 = 2.67 × 10−7*). (C) Age-related changes in connectivity vary spatially. Brain plot shows the linear fit gradient of node degree (the sum across the rows of the connectivity matrices) against age. Node degree varies less in occipital regions while frontal regions become more strongly connected with increasing age. (D) Example plots show node degree against age for left and right frontal and occipital regions. Pearson correlation yielded (from left to right): (𝑅2 = 0.44, 𝑝 = 1.2 × 10−7, 𝐷𝑒𝑔𝑟𝑒𝑒 = 0.27 · 𝑎𝑔𝑒 + 0.26); (𝑅2 = 0.50, 𝑝 = 5.8 × 10−9, 𝐷𝑒𝑔𝑟𝑒𝑒 = 0.28 · 𝑎𝑔𝑒 + 0.17); (𝑅2 = 0.18, 𝑝 = 2.0 × 10−3, 𝐷𝑒𝑔𝑟𝑒𝑒 = 0.10 · 𝑎𝑔𝑒 + 2.92); (𝑅2 = 0.29, 𝑝 = 4.2 × 10−5, 𝐷𝑒𝑔𝑟𝑒𝑒 = 0.12 · 𝑎𝑔𝑒 + 2.38).Figure 5:The relationship between beta-band amplitude modulation and pan-spectral burst probability.(A) Raster plot showing burst occurrence (white) as a function of time for all trials and participants combined (participants sorted by increasing age). (B) Trial averaged burst probability time-courses across the four participant groups. Shaded areas indicate the standard error within groups. (C) Stimulus-to post-stimulus modulation of burst probability (0.3-0.8 s vs 1-1.5 s) plotted against age. Note significant (R2=0.13, p=0.0089*) positive correlation. (D) Beta amplitude modulation plotted against burst probability. Note again significant correlation (𝑅2 = 0.5, 𝑝 = 5.2 × 10−9*). (Values for both measures were z-transformed within the Children and Adult group respectively to mitigate the age confound). Triangles and circles denote Children and Adults respectively.Figure 6:Spectral content of the burst state varies with age.(A) Average burst-state spectra across groups. Shaded areas indicate standard error on the group mean. (B) Pearson correlation coefficient for the PSD values in (A) against age across all frequency values. Red shaded areas indicate 𝑝 < 0.01 (uncorrected). The four inset plots show example scatters of PSD values with age at select frequencies (3 Hz, 9 Hz, 21 Hz, and 37 Hz). Low-frequency spectral content decreases with age while high-frequency content increases. No significant correlation was observed in the high theta and alpha bands.Figure S1:Beta band modulation with age for little finger stimulation:(A) Brain plots show slices through the left motor cortex, with a pseudo-T-statistical map of beta modulation (blue/black) overlaid on the standard brain. Time frequency spectrograms show modulation of the amplitude of neuraloscillations (fractional change in spectral power relative to the baseline measured in the 2.5-3 s window). In all cases results were extracted from the location of peak beta power reduction during stimulation (in the left sensorimotor cortex). (B) Difference in beta-band amplitude (0.3-0.8 s window vs 1-1.5 s window) plotted as a function of age (i.e., each data point shows a different participant; triangles represent children, circles represent adults). Note the significant correlation (R2=0.23, p=0.00032*).Figure S2Spectral content of the non-burst states.(A) Average non-burst-state spectra across groups. Shaded areas indicate standard error on the group mean. (B) Pearson correlation coefficient for the PSD values in (A) against age across all frequency values. Red shaded areas indicate 𝑝 < 0.01 (uncorrected). The four inset plots show example scatters of PSD values with age at select frequencies (3 Hz, 9 Hz, 21 Hz, and 37 Hz). Low-frequency spectral content decreases with age while high-frequency content increases. Results broadly mirror the frequency content and age relationships found in the burst state, however, features in the spectra corresponding to classical alpha and beta peaks are less prominent outside the burst state.