The science

Built on peer-reviewed research,
not wellness folklore

Every metric Trana computes is derived from published studies in top-tier medical journals. Here's the science behind the score.

The cosinor model

At the heart of Trana is the cosinor model — a mathematical technique that fits a cosine curve to your 24-hour heart rate and activity data. This curve captures three key properties of your rhythm:

Amplitude

How tall the wave is — the strength of your rhythm

Acrophase

When the peak occurs — the timing of your biological day

MESOR

The midline — your rhythm's average level

By fitting this model to each day's data, Trana tracks how your rhythm shifts over time — and surfaces when those shifts match patterns research links to health risks.

The circadian metrics Trana computes

Tap each metric to understand what it measures and why. Beyond the cosinor metrics below, Trana also surfaces your Sleep Regularity Index, social jet lag, and chronotype classification — each grounded in the published research listed at the bottom of this page.

Relative Amplitude (RA)

Range: 0 – 1

Measures the difference between your most active 10-hour period (M10) and your least active 5-hour period (L5). Higher RA means a strong, well-defined rhythm — your body clearly distinguishes day from night.

Why it matters: Low RA is associated with metabolic syndrome, depression, and cognitive decline. It's one of the strongest non-parametric circadian markers.

Source: Kim et al., JMIR Medical Informatics (2025)

Interdaily Stability (IS)

Range: 0 – 1

Measures how similar your rhythm is from one day to the next. High IS means your body clock keeps a consistent schedule — you wake, peak, and wind down at roughly the same times.

Why it matters: Low IS (irregular day-to-day patterns) is linked to cardiovascular disease, hypertension, and obesity in large population studies.

Source: Makarem et al., J Am Heart Assoc (2024)

Intradaily Variability (IV)

Range: 0 – 2+

Measures fragmentation within a single day — how often your activity level swings between high and low. Lower IV means a smooth, consolidated rhythm.

Why it matters: High IV (fragmented rhythm) suggests your body clock is struggling to maintain coherent rest/activity cycles. Common in shift workers and those with disrupted sleep.

Source: Makarem et al., J Am Heart Assoc (2024)

Acrophase

Range: Time of day

The clock time when your fitted circadian curve reaches its peak. This is your body's biological midday — when alertness, cardiovascular function, and metabolic activity are highest.

Why it matters: Sustained shifts in acrophase are a leading indicator of mood episodes. Phase delays are associated with depression; phase advances with mania.

Source: Lim et al., npj Digital Medicine (2024)

MESOR

Range: bpm / counts

The Midline Estimating Statistic of Rhythm — the average value around which your circadian curve oscillates. Think of it as your rhythm's center of gravity.

Why it matters: Changes in MESOR can indicate overall shifts in physiological load, fitness, or recovery state. It contextualizes the amplitude and acrophase.

Source: Shim, Fleisch & Barata, npj Digital Medicine (2024)

Every claim, traced

What the app tells you, and why we can say it

Trana makes population-level, correlation-framed claims. Every line of copy that cites or implies research traces back to a peer-reviewed paper below.

Claim 1

Rhythm regularity matters more than sleep duration for daytime alertness

In the research on sleep regularity, people with more consistent wake-sleep timing reported sharper daytime alertness than people who slept the same total hours on irregular schedules. Regularity is the underrated variable.

Shown in: Insights → Science of Rhythm (Consistency beats duration); Home → Steady band copy

Supporting research

Phillips, A. J. K., Clerx, W. M., O'Brien, C. S., Sano, A., Barger, L. K., Picard, R. W., Lockley, S. W., Klerman, E. B., & Czeisler, C. A. (2017). Irregular sleep/wake patterns are associated with poorer academic performance and delayed circadian and sleep/wake timing. Scientific Reports, 7, 3216.

Harvard / Brigham & Women's / MIT Media Lab. The Sleep Regularity Index predicted academic performance and circadian phase better than total sleep duration.

DOI: 10.1038/s41598-017-03171-4

Lunsford-Avery, J. R., Engelhard, M. M., Navar, A. M., & Kollins, S. H. (2018). Validation of the Sleep Regularity Index in older adults and associations with cardiometabolic risk. Scientific Reports, 8, 14158.

DOI: 10.1038/s41598-018-32402-5

Windred, D. P., et al. (2024). Sleep regularity is a stronger predictor of mortality risk than sleep duration. Sleep, 47(1), zsad253.

DOI: 10.1093/sleep/zsad253

Claim 2

Circadian alignment affects glucose handling and metabolic markers

People with irregular sleep-wake timing show weaker glucose handling and higher metabolic stress than people who stay consistent. Your schedule isn't just about sleep — it's about how your body handles fuel.

Shown in: Insights → Science of Rhythm (Your clock runs your digestion); Home → Aligned band copy

Supporting research

Panda, S. (2016). Circadian physiology of metabolism. Science, 354(6315), 1008–1015.

Salk Institute. Authoritative review of circadian control of metabolism, including peripheral clocks in liver / pancreas / gut.

DOI: 10.1126/science.aah4967

Scheer, F. A. J. L., Hilton, M. F., Mantzoros, C. S., & Shea, S. A. (2009). Adverse metabolic and cardiovascular consequences of circadian misalignment. PNAS, 106(11), 4453–4458.

Harvard. Experimentally induced misalignment → decreased leptin, increased glucose / insulin, reversed cortisol rhythm.

DOI: 10.1073/pnas.0808180106

Chaput, J. P., et al. (2023). Sleep timing, sleep consistency, and health in adults: a systematic review. Applied Physiology, Nutrition, and Metabolism, 48(6), 620–637.

DOI: 10.1139/apnm-2022-0505

Claim 3

Deep sleep, hormone release, and core body temperature run on the same 24-hour clock

Deep sleep, hormone release, body temperature — they all run on the same 24-hour clock your score tracks. When sleep timing holds, they line up. When it drifts, they fall out of sync.

Shown in: Insights → Science of Rhythm (Recovery happens on a schedule); Home → Aligned band copy

Supporting research

Czeisler, C. A., & Gooley, J. J. (2007). Sleep and circadian rhythms in humans. Cold Spring Harbor Symposia on Quantitative Biology, 72, 579–597.

Foundational review of sleep architecture and circadian phase coupling.

DOI: 10.1101/sqb.2007.72.064

Van Cauter, E., Leproult, R., & Plat, L. (2000). Age-related changes in slow wave sleep and REM sleep and relationship with growth hormone and cortisol levels in healthy men. JAMA, 284(7), 861–868.

Growth hormone pulse coupling to slow-wave sleep stages.

DOI: 10.1001/jama.284.7.861

Kräuchi, K., & Wirz-Justice, A. (1994). Circadian rhythm of heat production, heart rate, and skin and core temperature under unmasking conditions in men. American Journal of Physiology, 267(3 Pt 2), R819–R829.

Core body temperature coupling to sleep onset and circadian phase.

DOI: 10.1152/ajpregu.1994.267.3.R819

Claim 4

Rhythm disruptions (jet lag, shift work) typically resolve within a week of consistent wake timing

Travel, a hard week, a late night that rippled — your clock lost its anchor. The way back: one wake time tomorrow, outside within thirty minutes. Most people reset within a week.

Shown in: Home → Disrupted band copy

Supporting research

Eastman, C. I., & Burgess, H. J. (2009). How to travel the world without jet lag. Sleep Medicine Clinics, 4(2), 241–255.

Rush Medical. Phase re-entrainment rates across time-zone crossings. Typical eastward re-entrainment: ~1 hour/day; a 7-hour shift resolves in ~7 days with light-exposure anchoring.

DOI: 10.1016/j.jsmc.2009.02.006

Burgess, H. J., & Eastman, C. I. (2004). Short nights attenuate light-induced circadian phase advances in humans. Journal of Clinical Endocrinology & Metabolism, 89(10), 4954–4956.

DOI: 10.1210/jc.2004-0672

Khalsa, S. B. S., Jewett, M. E., Cajochen, C., & Czeisler, C. A. (2003). A phase response curve to single bright light pulses in human subjects. The Journal of Physiology, 549(Pt 3), 945–952.

Morning light = phase advance. The quantitative basis for 'get outside within 30 minutes of waking'.

DOI: 10.1113/jphysiol.2003.040477

Claim 5

Morning light is the strongest entrainment signal for pulling an acrophase earlier

Get morning light within 30 minutes of waking. Morning light is the most effective way to stop the drift.

Shown in: Home → TONIGHT'S LEVERS; drift-later insights

Supporting research

Khalsa, S. B. S., Jewett, M. E., Cajochen, C., & Czeisler, C. A. (2003). A phase response curve to single bright light pulses in human subjects. The Journal of Physiology, 549, 945–952.

DOI: 10.1113/jphysiol.2003.040477

Zeitzer, J. M., Dijk, D. J., Kronauer, R. E., Brown, E. N., & Czeisler, C. A. (2000). Sensitivity of the human circadian pacemaker to nocturnal light: melanopic response function and dose–response. The Journal of Physiology, 526(Pt 3), 695–702.

DOI: 10.1111/j.1469-7793.2000.00695.x

Source papers

Irregular sleep/wake patterns are associated with poorer academic performance and delayed circadian and sleep/wake timing

Phillips et al. · Scientific Reports · 2017

Introduces the Sleep Regularity Index (SRI) — a 0–100 measure of how consistent sleep timing is from night to night. Source for Trana's SRI calculation and threshold bands.

2017

Munich Chronotype Questionnaire (MCTQ)

Roenneberg et al. · Journal of Biological Rhythms · 2003

Establishes the validated chronotype framework Trana uses to place users on the early bird → intermediate → night owl spectrum. Demonstrates that chronotype is a real, heritable trait.

2003

Social jetlag: misalignment of biological and social time

Wittmann et al. · Chronobiology International · 2006

Defines social jet lag — the gap between weekday and weekend sleep midpoints — and links it to metabolic and cardiovascular outcomes. Source for Trana's social jet lag calculation.

2006

Circadian Complexity Entropy and relative amplitude of heart rate predict metabolic syndrome

Kim, Mun & Lee · JMIR Medical Informatics · 2025

CCE and RA from wearable heart rate outperform traditional sleep markers for metabolic syndrome prediction.

2025

M10/L5 onset relationships with HR-derived circadian acrophase

Wu et al. · npj Digital Medicine · 2024

Validates the relationship between activity-derived M10/L5 onset times and the heart-rate cosinor acrophase, supporting the use of activity as a backup signal when continuous HR is unavailable.

2024

Single-harmonic cosinor fits to wearable heart rate data

Forger group (large wearable HR cosinor study) · npj Digital Medicine · 2024

Large-scale validation of the single-harmonic 24-hour cosinor model on real-world wearable HR data. Supports Trana's choice of cosinor as the primary fit method over more complex alternatives.

2024

CosinorAge — biological age from 7-day wearable circadian data

Shim, Fleisch & Barata · npj Digital Medicine · 2024

+1 year of CosinorAge = 8–12% higher all-cause mortality risk in a study of 80,000 participants.

2024

Wearable sleep-wake features predict next-day mood episodes

Lim et al. · npj Digital Medicine · 2024

AUC 0.80–0.98 prediction accuracy. Circadian phase delays are associated with depression; advances with mania.

2024

Rest-activity rhythm disruption and cardiovascular disease

Makarem et al. · J Am Heart Assoc · 2024

Rhythm disruption associated with CVD, hypertension, and obesity in a nationally representative US sample.

2024

Irregular circadian patterns and type 2 diabetes

Windred et al. · Lancet Regional Health · 2024

13 million hours of sensor data: irregular circadian patterns associated with T2D incidence.

2024

Circadian disruption and depression in physicians

Real-world MD data · npj Digital Medicine · 2024

50,000+ days of wearable data from 800 physicians: bidirectional link between circadian disruption and depression.

2024

What Trana does not do

Transparency is trust. Here's what we are — and what we are not.

  • Trana is not a medical device and does not diagnose any condition
  • Trana is not a sleep tracker — sleep is one input, not the output
  • Trana does not replace clinical care — alerts are informational, not medical recommendations
  • Trana does not store health data in the cloud — all processing is on-device
  • Trana does not use HealthKit data for advertising or share it with third parties
  • Trana does not claim to predict specific disease — it surfaces patterns that research associates with risk