Phase resetting curves for JR

The Phase Resetting Curve (PRC) is a fundamental tool for understanding how oscillatory systems, such as neural populations, respond to external perturbations. It characterizes how a brief input at different phases of an ongoing cycle advances or delays the system’s rhythm. In the context of the Jansen-Rit (JR) model the PRC allows to predict synchronization, to assessing network stability, and to understanding how pathological rhythms like seizures might emerge or be controlled through stimulation.

Here, I leave you with a couple of figures showing the PRC for the JR model. First, evaluating the PRC for different stimulation amplitudes based on 200 simulations per amplitude value. Increased period ($\Delta$T) was calculated from baseline non-stimulated simulations. I calculate the Ts based on zero-crossing phases and I gathered information for 3 Ts: the one in which the stimulation happens (T0), and the two following (T1, T2).

Further, I wondered how the different regimes of the JR influence that PRC. Therefore, I simulated for different values of p, while fixing the stimulation amplitude to 2 mV. Here the results, a bit more intricate and difficult to understand.