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Figure 1 | The Journal of Mathematical Neuroscience

Figure 1

From: Phase-dependence of response curves to deep brain stimulation and their relationship: from essential tremor patient data to a Wilson–Cowan model

Figure 1

Example showing the block method applied to a block of stimulation with a target stimulation phase of 120 degrees. The three panels have the same horizontal axis. The reference period without stimulation before the block is highlighted in light orange, and the stimulation block itself in light blue. The filtered tremor is shown in blue in the upper panel. Stimulation triggers are shown in black in the lower panel. The 25 bursts of stimulation are each composed of a number of individual pulses at high frequency as shown in the zoomed-in insert. As shown in the middle panel, the change in phase \(\Delta\phi_{i}\) due to the block of stimulation is obtained by comparing at the end of the block the actual Hilbert phase to a linear phase obtained by a straight line fit to the phase evolution 1 s before the block (reference period). The change in amplitude is given by the difference between the means \(\overline{\text{env}}^{\text{stim}}_{i}\) and \(\overline{\text{env}}^{\text{ref}}_{i}\) (top panel). Both the phase and amplitude responses are later normalised by the number of pulses in the block (not shown here)

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