Phase Response Curve Simulator: How Light Timing Shifts Your Body Clock

simulator intermediate ~10 min
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Δφ = -1.8 h delay — evening light exposure

A 30-minute pulse of 2500 lux at CT 16 (early evening) produces a 1.8-hour phase delay, equivalent to flying one time zone westward. The clock will shift sleep onset and wake time later by approximately this amount.

Formula

Δφ(t) = A·sin(2π·t/τ) — Type 1 (weak) PRC sinusoidal approximation
Δφ = f(I) = a·Math.log(I/I₀) — logarithmic intensity dose-response
φ(n+1) = φ(n) + (τ - 24) + Δφ(t_light) — daily phase iteration

Timing Is Everything

The phase response curve is perhaps the most important concept in circadian biology. It reveals a counterintuitive truth: the same light stimulus can advance, delay, or have no effect on the biological clock depending entirely on when it is delivered. A bright light at 10 PM delays sleep onset (pushing the clock later), the same light at 4 AM advances it (pulling the clock earlier), and at noon it does essentially nothing. This timing dependency explains why jet lag recovery is asymmetric, why shift workers struggle, and how light therapy can treat circadian disorders.

Anatomy of the PRC

The human PRC to light has three zones. The delay zone spans the early biological night (roughly CT 12–20, corresponding to evening through early sleep), where light causes phase delays of up to 3 hours. The advance zone spans the late biological night to early morning (CT 20–06), producing advances of up to 2 hours. The dead zone during the subjective day (CT 06–12) shows minimal response. The asymmetry between delay and advance magnitudes — delays are typically larger — explains why westward travel (requiring delays) is easier to adjust to than eastward travel (requiring advances).

Intensity and Duration

The magnitude of phase shift depends on light dose — a product of intensity and duration, modulated by wavelength. The intensity response follows a logarithmic curve: doubling brightness from 500 to 1000 lux produces a large effect, but doubling from 5000 to 10000 lux adds much less. Duration matters too: a 1-hour pulse produces a larger shift than a 15-minute pulse, but with diminishing returns beyond 60–90 minutes. Blue light (460 nm) is 2–3× more effective than green or red per photon, reflecting melanopsin's peak sensitivity in intrinsically photosensitive retinal ganglion cells (ipRGCs).

Clinical and Practical Applications

Understanding the PRC transforms circadian medicine from guesswork to precision. For a patient with Delayed Sleep Phase Disorder sleeping 3 AM–11 AM, morning bright light therapy at 7 AM (their CT ~2–3) falls in the advance zone, gradually pulling the clock earlier by 30–60 minutes per day. For jet lag after an 8-hour eastward flight, the PRC predicts that light exposure must be carefully timed to avoid the delay zone — otherwise, the clock shifts in the wrong direction, prolonging recovery. This simulator lets you explore these timing strategies interactively.

FAQ

What is a phase response curve?

A phase response curve (PRC) maps the relationship between the timing of a stimulus (typically light) and the resulting shift in circadian phase. Light in the early night delays the clock (negative shift), light in the late night advances it (positive shift), and light during the subjective day has minimal effect (dead zone). The PRC is the fundamental tool for predicting how light exposure resets the biological clock.

Why does the same light have opposite effects at different times?

The clock's sensitivity to light depends on its current phase state. The SCN (suprachiasmatic nucleus) interprets light differently depending on whether the organism 'expects' it. Early-night light signals 'the day is longer than expected' (delay), while late-night light signals 'dawn is earlier than expected' (advance). This asymmetry enables entrainment to the solar cycle.

How is the PRC used clinically?

Clinicians use the PRC to time bright light therapy for circadian disorders. For Delayed Sleep Phase Disorder (night owls), morning light advances the clock. For Advanced Sleep Phase Disorder (early birds), evening light delays it. For jet lag, the PRC predicts optimal light/dark scheduling. Mistiming light exposure can worsen the condition — the PRC prevents this error.

What light intensity is needed to shift the clock?

As little as 100 lux (dim room light) can produce measurable phase shifts with sufficient duration. However, >2500 lux (bright indoor light) is typically needed for clinically meaningful shifts. The response follows a logarithmic dose-response curve that saturates around 8000–10000 lux. Blue-enriched light (460 nm) is most effective per lux due to melanopsin sensitivity.

Sources

Embed

<iframe src="https://homo-deus.com/lab/circadian-biology/phase-response-curve/embed" width="100%" height="400" frameborder="0"></iframe>
View source on GitHub