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. Author manuscript; available in PMC: 2011 Jun 2.
Published in final edited form as: Int J Body Compos Res. 2008;6(4):173–184.

Table 3.

Comparison of relative variability of body component ratios.

Ratio with simplified model E/I value
0.8 0.9 0.95 1.0 1.1 Variability
FFM density
= (1.569 + 1.16 × E/I)/(1.396 + 1.08 × E/I)
1.105 1.103 1.103 1.102 1.101 0.36%
TBK/BCM
= 106.4 + 2.8 × (E/I)
108.6 108.9 109.1 109.2 109.5 0.81%
TBW/FFM
= (1 + E/I)/(1.569 + 1.16 × E/I)
0.721 0.727 0.730 0.733 0.738 2.3%
TBW/LST
= (1 + E/I)/(1.488 + 1.080 × E/I)
0.765 0.772 0.776 0.779 0.785 2.6%
Ms/TBW
= (0.0162 + 0.0095 × E/I)/(1 + E/I)
0.0132 0.013 0.0129 0.0129 0.0127 3.9%
TBPro/FFM
=(0.445 + 0.069 × E/I)/(1.569 + 1.16 × E/I)
0.200 0.194 0.191 0.188 0.183 8.9%
TBK/FFM
= (152 + 4 × E/I)/(1.569 + 1.16 × E/I)
62.2 59.5 58.3 57.2 55.0 12.3%
BCM/FFM
= 1.429/(1.569 + 1.16 × E/I)
0.572 0.547 0.535 0.524 0.502 13.1%

Body component ratios: BCM/FFM, ratio of body cell mass to fat-free mass (in kg/kg); FFM density, fat-free mass density (in kg/L); Ms/TBW, ratio of soft-tissue minerals to total body water (in kg/kg); TBK/BCM, ratio of total body potassium to body cell mass (in mmol/kg); TBK/FFM, ratio of total body potassium to fat-free mass (in mmol/kg); TBPro/FFM, ratio of total body protein to fat-free mass (in kg/kg); TBW/FFM, ratio of total body water to fat-free mass (in kg/kg); TBW/LST, ratio of total body water to lean-soft tissue (in kg/kg).

Abbreviation: E/I, ratio of extracellular water to intracellular water (in kg/kg).

Variability of body component ratio: For instance, the relative variability of TBW/FFM ratio can be calculated as [(TBW/FFM at E/I 1.1) – (TBW/FFM at E/I 0.8)]/(TBW/FFM at E/I 0.95) = (0.738 − 0.721)/0.730 = 2.3%.