Body surface area (Mosteller)
Independent clinical validation: pending
Two independent clinical validators will be named here once review is complete.
How it is calculated
Body surface area is estimated with the Mosteller (1987) formula: BSA in square metres = the square root of (height in cm × weight in kg ÷ 3600), which is equivalently √(height × weight) ÷ 60. It is a single closed-form expression with no age or sex terms and no interpretation bands. The result is a body-size scalar used as a denominator elsewhere — e.g. drug dosing per m² (mg/m²) and indexed haemodynamic/renal parameters such as cardiac index (L/min/m²). Compute in full floating point and round once at display (precision 2); do not chain rounded intermediates.
Limitations and notes
No interpretation bands: BSA is a continuous body-size scalar with no published cut-point that stratifies patients, so interpretation is intentionally empty — present the value as a derived body-size estimate and defer any dosing/indexing interpretation to the downstream calculation that consumes it. Estimate only, not a clinical device: Mosteller was validated only against the Du Bois formula (itself fit to 9 adults in 1916), not against direct surface-area measurement; agreement with pediatric-fit estimators (Haycock, Gehan-George) is close but widens at the extremes (neonates, severe obesity), so a platform indexing by BSA should record which formula it uses. The main failure mode is unit transposition (lb↔kg, in↔cm): because BSA scales as sqrt(h·w) a swapped unit yields a wrong-but-plausible number the formula cannot self-detect — unit labels and the range checks are the defense. The height (~30–220 cm) and weight (~0.3–250 kg) bounds are input-validity limits chosen to span the PICU range, NOT clinical limits and not from Mosteller 1987. NEEDS SOURCE (carried from research): a specific head-to-head pediatric accuracy figure vs Haycock/Gehan-George is not asserted here, and any protocol BSA cap for dosing (commonly cited around 2.0–2.2 m²) is a protocol overlay, not part of Mosteller, and lacks a primary numeric source.
Accepted input ranges
- Height — 30–220 cm
- Weight — 0.3–250 kg
References
- Mosteller RD. Simplified calculation of body-surface area. N Engl J Med. 1987;317(17):1098.PMID 3657876DOI 10.1056/NEJM198710223171717
- Du Bois D, Du Bois EF. A formula to estimate the approximate surface area if height and weight be known. Arch Intern Med. 1916;17(6):863–871. (Reprinted: Nutrition. 1989;5(5):303–311.)PMID 2520314
- Evidencio — Body surface area (Mosteller formula), model 518.Source
- Omnicalculator — BSA Calculator (Body Surface Area).Source
Version and changelog
v1.0.0 · General
- 2026-07-25 v1.0.0 — Initial release: Mosteller body surface area from height and weight.