Circadian Sleep Debt & Cognitive Impairment Visualizer

Presets & Regimes

Schedule Controls

Nightly Sleep Duration 4.0 hrs

Daily Wake Time 07:00

Circadian Phase Shift 0.0 hrs

Timeline Horizon 7 Days

Borbély Model Invariant: Homeostatic sleep pressure (Process S) accumulates exponentially during wakefulness ($\tau_{r} \approx 18.2\text{h}$) and dissipates exponentially during sleep ($\tau_{d} \approx 4.2\text{h}$).

Process S (Sleep Pressure)

Process C (Circadian Rhythm)

Cognitive Alertness Margin

Micro-Sleep Hazard Zone

Cumulative Sleep Deficit 28.0 hrs Relative to 8.0h baseline requirement

PVT Reaction Slowdown +142 ms Median sustained attention impairment

Max Involuntary Micro-Sleep 68.4% Vulnerability during trough alertness

Recovery Sleep Needed 14.2 hrs Hours required for full homeostatic reset