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The Journal of Mathematical Neuroscience
Figure 14 | The Journal of Mathematical Neuroscience

Figure 14

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

Figure 14

Relative error made across patients in estimating \(\mathcal{H}(s(t)s_{c}(t))\) by \(s(t)\mathcal{H}(s_{c}(t))\) (solid lines) and \(\mathcal{H}(s(t)s_{n}(t))\) by \(s(t)\mathcal{H}(s_{n}(t))\) (dashed lines). The error is calculated as the ratio of \(\mathcal{I}_{s_{c}}\) (respectively, \(\mathcal{I}_{s_{n}}\)) over the modulus of the numerical Hilbert transform of the signal, which is the envelope of the signal. The relative error is under 5% in all cases for at least 12 periods

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