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build simulator melatonin

Catalyst Twin module

Melatonin,
one oral
dose.

Plasma melatonin after one immediate-release oral dose, in a one-compartment model whose parameters are values papers print, but for an absorption rate fitted to one paper’s time to peak, tested against published summaries from studies it was not built from.

Engine
melatonin.twin, version 2
Built from
4 papers
Held out
7 studies 13 of 18 inside
Validation
holds
dose2 h4 h6 h8 hdose2 h4 h6 h8 h
melatonin.twin, its own run · plasma melatonin for 8 hours after one oral dose of 1.98 mg · 48 of its 300 virtual subjects, seed 1, lowest peak at the back · relative concentration, computed

Front panel

Reference-population simulation not individualised computed at build

Ch 01Outcome a range for a reference population, never a point

02,0004,0006,0008,00010,000dose2 h4 h6 h8 hpg/mL02,0004,0006,0008,00010,000dose2 h4 h6 h8 hpg/mL02,0004,0006,0008,00010,000dose2 h4 h6 h8 hpg/mL
5th–95th percentilemediantypical subject, no between-person spreadPlasma melatonin after one oral dose of 1.98 mg, the dose PMID 35918587 gave, fasted, with nothing before it. Computed by melatonin.twin; a computation, not an observation.

PeakCmax

2,460 to 8,400 pg/mL, median 4,610 pg/mL

Time of peakafter the dose

34 to 60 min, median 45 min

Half-lifeelimination

30 to 121 min, median 56 min

Total exposureAUC to infinity

4,320 to 28,800 pg·h/mL, median 11,300 pg·h/mL

Ch 02Parameters every one with its source

BlockParameterValueRead fromSource
GutAbsorption half-life (kₐ = ln 2 / t), fitted so the typical subject peaks at 41 min19.1 min“Tmax of 10 mg orally administrated melatonin was 41 min in a study”PMID 35413810fitted to this record
GutAbsorption half-life as printed; not used, as it peaks below every held-out time to peak6 min“Melatonin administered orally has a half-life of absorption of 6 min”PMID 35413810study record, not used
GutOral bioavailability, F (typical subject)15%“its oral bioavailability—referred to as a 2–4 mg dosage—is approximately 15%”PMID 38791203study record
GutF between people, drawn log-uniform9%–33%“The half-life of melatonin by both oral and intravenous routes is approximately 45 min (28–126 min), and the oral bioavailability is low with significant individual variability (9–33%)”PMID 35409137study record
PlasmaVolume of distribution42 L“V p (L) | 42 (35; 48)”PMID 36046952study record
EliminationElimination half-life (typical subject)45 min“The half-life of melatonin by both oral and intravenous routes is approximately 45 min (28–126 min), and the oral bioavailability is low with significant individual variability (9–33%)”PMID 35409137study record
EliminationHalf-life between people, drawn log-uniform28–126 min“The half-life of melatonin by both oral and intravenous routes is approximately 45 min (28–126 min), and the oral bioavailability is low with significant individual variability (9–33%)”PMID 35409137study record

Transcribed from 4 papers in the graph’s study records, but for one fitted value: the absorption half-life, 19.1 min, solved so the typical subject peaks at 41 min, the time to peak PMID 35413810 prints after 10 mg orally. The 6 min absorption half-life the same paper prints peaks at 20 min, below every held-out time to peak, so it is recorded and not used. Between people, bioavailability and the half-life are drawn log-uniform across the ranges their paper prints; 300 virtual subjects, seed 1.

No dose is advised. The ranges are for a stated reference population: a simulation from published values, not a prediction for any person.

÷4÷2×1×2×4CmaxtmaxAUC0–∞t½÷4÷2×1×2×4CmaxtmaxAUC0–∞t½
melatonin.twin against what the papers measured · validateMelatonin(), seed 1, as folds of the median prediction

Validation held out

Each column is one published summary from a study the model was not built from. The green line is the 5th to 95th percentile of 1,000 virtual subjects; the dot is what the paper reported, orange where it falls outside that range. Both are divided by the median prediction, so ×1 is an exact match and the dashed lines mark twofold either way.

Studies
7
Inside the range
13 of 18 (72%)
Cmax
2 of 4
tmax
4 of 7
AUC0–∞
2 of 2
t½
5 of 5
Within twofold
16 of 18
Half-life doubled
6 of 18 (33%)

The control: the same model with every half-life doubled keeps 6 of 18 inside, against 13. The fit: the absorption half-life is fitted to one time to peak, from PMID 35413810, a paper that built the model and is outside the test. None of the 18 held-out summaries was fitted to, so the share is the same counted either way: 13 of 18 with every held-out summary, and 13 of 18 with the fitted-to ones taken out, since there are none. The held-out times to peak test whether that one fitted value carries to other studies; version 1, with the printed 6 min, kept none of them inside. The rule, fixed before the first run: the validation holds when at least half of all summaries, and at least half of each kind, fall inside. It holds.

Not modelled

A measured absorption rate. The absorption half-life is fitted to one published time to peak, 41 min after 10 mg orally (PMID 35413810), so the typical subject’s time to peak is set by the fit, not predicted; the 6 min that paper prints as the absorption half-life peaks at 20 min, below every held-out time to peak. Whether the study it cites also lies behind a held-out review cannot be told from the record.

A delay before absorption. The model absorbs from the moment of the dose; the lag time PMID 36046952 estimates carries no unit in the record, so it is not used.

Between-person differences in absorption and in volume. The papers give a range only for bioavailability and for the half-life, so only those two vary.

First-pass metabolism as a process. Bioavailability is one fraction of the dose, the same at every dose.

Metabolism to 6-hydroxymelatonin and its sulphate, and anything that changes it: CYP1A2 inhibitors such as fluvoxamine, smoking, liver disease.

The body’s own melatonin. The curve is the dose alone, added to nothing; night-time secretion is not drawn.

Food. Every arm is fasted or does not say; one review reports time to peak moving from 0.75 to 3 hours with food (PMID 36660543).

Prolonged-release, sublingual and transdermal forms. One immediate-release oral dose only, never repeated.

Age, sex, body size and disease. The volume is one number in litres, not scaled to a body.

Any effect: sleep, the MT1 and MT2 receptors, the circadian clock. The model stops at plasma.

Left out of the test

SourceRecordsWhy
PMID 35413810absorption half-life, tmax, half-life after intravenous dosing, bioavailabilityBuilt the model.
PMID 38791203bioavailabilityBuilt the model.
PMID 35409137half-life and bioavailability, with their rangesBuilt the model.
PMID 36046952volume; Cmax and tmax at 20 and 50 mg, in sepsis and in healthy subjectsBuilt the model; the arms are also patients with sepsis.
PMID 22348451Cmax, tmax, half-life, CL/F, V/F at 0.4 and 4 mgOlder adults with insomnia, a group named as such.
PMID 18423009Cmax, tmax, AUC, half-life, CL/F at 10 mgCritically ill patients.
PMID 28368352AUC at 3 mg against placeboCritically ill patients.
PMID 19606092Cmax and tmax from a 2.1 mg patchTransdermal, not oral.
PMID 37438493Cmax and tmax of a sublingual spray and a prolonged-release tabletSublingual and prolonged-release, not an oral immediate-release dose.
PMID 35176989tmax and half-life of slow-release formulationsSlow-release.
PMID 36660543tmax with food; bioavailabilityFed arm; bioavailability is not a compared summary.
PMID 36976674bioavailabilityNot a compared summary.
PMID 31033013tmax in saliva at 5 mgSaliva, not plasma or serum.
PMID 35918587the endogenous profile; AUC to the last sampleNo dose given; the AUC’s end time is not in the record.
PMID 37371523Cmax after a 100 mg intravenous bolus; Cmax “in the 1 to 3 mg range”Intravenous; a range of doses, not one.
PMID 38293391urinary excretion; agomelatineNot a compared summary; another compound.
PMID 36752886protein binding; agomelatine’s half-lifeNot a compared summary; another compound.
PMID 40722923bioavailabilityNot a compared summary.
PMID 41126740bioavailability, 1–74%Not a compared summary.