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The Journal of Mathematical Neuroscience
Figure 5 | The Journal of Mathematical Neuroscience

Figure 5

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

Figure 5

Analytical results in simple systems (initial conditions as in the main text). First column: phase space. Second column: first order PRC as per Eq. (17) (scaling valid for the first cycle). Third column: first order ARC as per Eq. (19) and opposite of the derivative of the first order PRC scaled by \(FX_{1}^{0}\). Panel A corresponds to \(J_{\text{circ}}\) (circular flow, no decay), panel B to \(J_{\text{circ}}^{\text{slow}}\) (circular flow, slow decay), panel C to \(J_{\text{circ}}^{\text{fast}}\) (circular flow, fast decay), and panel D to \(J_{\text{ellip}}\) (tilted elliptic flow, no decay)

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