Clinical Medicine & Physiology
Hume (1966) Lean Body Mass & Hume-Weyers (1971) Total Body Water Formula
Calculate antipyrine/tritiated-water-calibrated Lean Body Mass (Hume, 1966) and Total Body Water (Hume & Weyers, 1971) from Height (cm) and Weight (kg) for hydrophilic drug dosing and peritoneal dialysis adequacy.
Dose narrow-therapeutic-index hydrophilic drugs accurately using Hume Lean Body Mass & Hume-Weyers TBW!
Measured via antipyrine and tritiated-water dilution in hospitalized and obese subjects, Robert Hume (1966, J. Clin. Pathol.) established classic clinical pharmacokinetics Lean Body Mass equations (assuming 73% hydration of fat-free mass): LBM_men (kg) = 0.32810 * Weight_kg + 0.33929 * Height_cm - 29.5336, and LBM_women (kg) = 0.29569 * Weight_kg + 0.41813 * Height_cm - 43.2933!
Expanding tritium dilution directly to Total Body Water across normal and obese patients, Robert Hume and E. Weyers (1971, J. Clin. Pathol.; widely adopted in peritoneal dialysis Kt/V and lithium/digoxin pharmacokinetic models) derived: TBW_men (L) = 0.194786 * Height_cm + 0.296785 * Weight_kg - 14.012934, and TBW_women (L) = 0.34454 * Height_cm + 0.183809 * Weight_kg - 35.270121!
| Adult Patient (Height cm, Weight kg) | Hume (1966) Lean Body Mass (kg) | Hume-Weyers (1971) TBW (L) | Implied Body Fat Mass (W - LBM) |
|---|---|---|---|
| Adult Male (178 cm, 84 kg) | 58.42 kg LBM | 45.59 L TBW | 25.58 kg Fat Mass |
| Adult Female (165 cm, 70 kg) | 46.40 kg LBM | 34.45 L TBW | 23.60 kg Fat Mass |
Hume (1966) Sex-Specific Lean Body Mass LBM (kg)
Evaluates Male ("M") or Female ("F") Hume Lean Body Mass across Sex B2, Height B3 (cm), and Weight B4 (kg).
=IF(OR(AND(B2 <> "M", B2 <> "F"), B3 < 120, B3 > 230, B4 < 30, B4 > 300), "Invalid Adult Sex (M/F), Height (cm), or Weight (kg)", ROUND(IF(B2 = "M", 0.3281 * B4 + 0.33929 * B3 - 29.5336, 0.29569 * B4 + 0.41813 * B3 - 43.2933), 2))Hume-Weyers (1971) Sex-Specific Total Body Water TBW (Liters)
Evaluates Hume-Weyers tritiated-water TBW (L) across Sex B2, Height B3 (cm), and Weight B4 (kg).
=IF(OR(AND(B2 <> "M", B2 <> "F"), B3 < 120, B3 > 230, B4 < 30, B4 > 300), "Invalid Adult Sex (M/F), Height (cm), or Weight (kg)", ROUND(IF(B2 = "M", 0.194786 * B3 + 0.296785 * B4 - 14.012934, 0.34454 * B3 + 0.183809 * B4 - 35.270121), 2))Try the example
Use the original values or change them to test your understanding.