Endpoint methods library
Circadian & activity rhythm endpoint

Free-running period (tau)

Length of one endogenous circadian cycle measured in constant darkness, the core readout of intrinsic clock speed.

Unit
hours
Readout
Period of the endogenous rhythm in constant conditions
Assays
Running wheel, home-cage video, beam-break, telemetry under DD

Decision summary

Use free-running period when the question is whether a genotype, drug, or lesion changes the intrinsic speed of the circadian clock. Tau is defined only in the absence of entraining cues, usually constant darkness, and is estimated from the slope of activity-onset drift or from a periodogram. A normal mouse runs near 23.5–24 h; clock mutants commonly fall outside that range.

Primary valuePeriod of the endogenous rhythm in constant conditions
Common unitsHours (e.g. 23.7 h)
Compatible assaysRunning wheel, home-cage video, beam-break, telemetry under DD
Required boundaryConstant darkness window and estimation method (onset regression or periodogram)
Do not infer alonePhase, amplitude, or entrainment ability

Measurement notes

Record continuously for one to three weeks in constant darkness, then estimate tau either by regressing daily activity onsets against day number or by taking the dominant peak of a chi-square or Lomb-Scargle periodogram. The two methods should agree within a few minutes for a robust rhythm.

Interpretation limit

Tau is only the free-running period when entraining cues are truly absent; residual light leakage, scheduled noise, or feeding can mask or entrain the rhythm and bias the estimate. A period near 24 h under a light-dark cycle reflects entrainment, not the endogenous period.

Data capture

Store animal ID, DD start and duration, estimation method, periodogram parameters, tau with confidence interval, and excluded segments.

Confound checks
  • Light leakage or scheduled disturbances acting as weak zeitgebers.
  • Wheel access shortening period in some strains.
  • Short or noisy records that widen the period estimate.
  • Age, temperature, and prior light history (after-effects).
Reporting checklist
  • Constant-condition type (DD or LL) and duration analyzed.
  • Estimation method and software, with periodogram settings.
  • Tau value, uncertainty, and number of days used.
  • Light-control and disturbance-control measures.