Phase Response Curve Calculator

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Oscillator period, T

Time for one unperturbed cycle (seconds, ms, or any unit).

Stimulus time after last event, t_s

Measured from the last spike/peak/zero-crossing.

Input mode

Both modes yield t_next measured from last event.

Next-event time from last event, t_next

If t_next < T, the cycle advanced.

Time from stimulus to next event, \u0394t

Internally: t_next = t_s + \u0394t.

Angle unit

Used for \u0394\u03b8 output (not for \u03d5 fraction).

Phase handling

Wrap stimulus phase to one cycle

If enabled, \u03d5 is mapped into [0,1).

Optional: generate a theoretical PRC curve

Enable theoretical table

Example Data Table

Sample measurements for one oscillator with a timed pulse.

Case	T	t_s	t_next	\u0394t = T - t_next	\u0394\u03d5 = \u0394t / T
Advance	1.00	0.25	0.92	+0.08	+0.08
Delay	1.00	0.60	1.12	-0.12	-0.12

Formula Used

A phase response curve describes how a brief perturbation changes the timing of the next cycle. Using one common definition, compute the stimulus phase and the normalized phase shift:

Stimulus phase (fraction of cycle)

\u03d5 = t_s / T

Normalized phase shift (advance positive)

\u0394\u03d5 = (T - t_next) / T

If t_next < T, the next event arrives sooner (advance).

Angle form (optional)

\u0394\u03b8 = 2\u03c0\u0394\u03d5

If phase wrapping is enabled, \u03d5 is mapped into one cycle and \u0394\u03d5 can be wrapped to (\u22120.5, 0.5].

How to Use This Calculator

Enter the oscillator period T for the unperturbed cycle.
Enter t_s, the time of the pulse after the last event.
Select an input mode and provide either t_next or \u0394t.
Pick radians or degrees if you want the angular shift output.
Optionally enable a theoretical curve table and set model parameters.
Press Compute PRC. Results appear above the form.
Use Download CSV or Download PDF to export.

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