Table 2

Best fit parameters derived from deuterium labeling experiments

Subject identifierNormalization factor, bg/w*Transit time, Δ, dLoss rate from blood, z, d−1Proliferation rate, p, d−1§Blood half-life, d
Deuterium-labeled glucose      
 C36R 0.73 5.91 ± 0.07 1.03 ± 0.04 0.268 0.67 
 C41 0.73 5.56 ± 0.00 1.06 ± 0.19 0.276 0.65 
 C42 0.73 5.38 ± 0.00 0.52 ± 0.08 0.135 1.34 
 C46 0.73 5.72 ± 0.00 1.09 ± 0.05 0.283 0.63 
 C48 0.73 5.29 ± 0.07 0.72 ± 0.12 0.187 0.97 
 C49 0.73 5.88 ± 0.00 0.92 ± 0.06 0.239 0.76 
 C50 0.73 6.60 ± 0.72 1.42 ± 0.29 0.369 0.49 
 C59 0.73 5.61 ± 0.00 0.82 ± 0.00 0.213 0.85 
 C60 0.73 6.24 ± 0.01 0.98 ± 0.00 0.255 0.71 
Mean ± SD  5.80 ± 0.42 0.95 ± 0.29 0.247 ± 0.066 0.79 ± 0.25 
Median  5.72 0.98 0.255 0.71 
Heavy water      
 A 4.32 ± 0.03 4.49 ± 0.00 0.74 ± 0.02 0.192 0.94 
 B 4.74 ± 0.05 4.69 ± 0.62 0.77 ± 0.09 0.200 0.90 
 C 4.89 ± 0.07 5.25 ± 0.35 0.78 ± 0.00 0.203 0.89 
 D 3.69 ± 0.11 1.77 ± 0.07 0.47 ± 0.04 0.122 1.49 
 E 3.98 ± 0.06 0.41 ± 0.00 0.53 ± 0.03 0.138 1.31 
 DW04 4.40 ± 0.31 5.91 ± 0.00 1.18 ± 0.09 0.307 0.59 
 DW09 3.83 ± 0.19 0.84 ± 2.82 0.40 ± 0.11 0.104 1.74 
 DW10 4.38 ± 0.00 5.07 ± 1.97 0.73 ± 0.00 0.190 0.96 
 DW11 3.18 ± 0.14 2.20 ± 2.29 0.57 ± 0.17 0.148 1.21 
Mean ± SD 4.16 ± 0.54 3.40 ± 2.09 0.68 ± 0.23 0.178 ± 0.060 1.11 ± 0.36 
Median 4.32 4.49 0.73 0.190 0.96 
Subject identifierNormalization factor, bg/w*Transit time, Δ, dLoss rate from blood, z, d−1Proliferation rate, p, d−1§Blood half-life, d
Deuterium-labeled glucose      
 C36R 0.73 5.91 ± 0.07 1.03 ± 0.04 0.268 0.67 
 C41 0.73 5.56 ± 0.00 1.06 ± 0.19 0.276 0.65 
 C42 0.73 5.38 ± 0.00 0.52 ± 0.08 0.135 1.34 
 C46 0.73 5.72 ± 0.00 1.09 ± 0.05 0.283 0.63 
 C48 0.73 5.29 ± 0.07 0.72 ± 0.12 0.187 0.97 
 C49 0.73 5.88 ± 0.00 0.92 ± 0.06 0.239 0.76 
 C50 0.73 6.60 ± 0.72 1.42 ± 0.29 0.369 0.49 
 C59 0.73 5.61 ± 0.00 0.82 ± 0.00 0.213 0.85 
 C60 0.73 6.24 ± 0.01 0.98 ± 0.00 0.255 0.71 
Mean ± SD  5.80 ± 0.42 0.95 ± 0.29 0.247 ± 0.066 0.79 ± 0.25 
Median  5.72 0.98 0.255 0.71 
Heavy water      
 A 4.32 ± 0.03 4.49 ± 0.00 0.74 ± 0.02 0.192 0.94 
 B 4.74 ± 0.05 4.69 ± 0.62 0.77 ± 0.09 0.200 0.90 
 C 4.89 ± 0.07 5.25 ± 0.35 0.78 ± 0.00 0.203 0.89 
 D 3.69 ± 0.11 1.77 ± 0.07 0.47 ± 0.04 0.122 1.49 
 E 3.98 ± 0.06 0.41 ± 0.00 0.53 ± 0.03 0.138 1.31 
 DW04 4.40 ± 0.31 5.91 ± 0.00 1.18 ± 0.09 0.307 0.59 
 DW09 3.83 ± 0.19 0.84 ± 2.82 0.40 ± 0.11 0.104 1.74 
 DW10 4.38 ± 0.00 5.07 ± 1.97 0.73 ± 0.00 0.190 0.96 
 DW11 3.18 ± 0.14 2.20 ± 2.29 0.57 ± 0.17 0.148 1.21 
Mean ± SD 4.16 ± 0.54 3.40 ± 2.09 0.68 ± 0.23 0.178 ± 0.060 1.11 ± 0.36 
Median 4.32 4.49 0.73 0.190 0.96 

Parameter estimates are shown with their standard error estimated from the asymptotic covariance matrix; mean values are shown with their standard deviation (SD).

*

Normalization factors are bg and bw for glucose and water, respectively.

Transit time, Δ, is the time from the last mitosis in marrow until cell egression to blood.

Loss rate from blood, z, is the loss rate of blood neutrophils.

§

The proliferation rate of mitotic neutrophils, p, is not a free parameter; it is calculated from the other model parameters: p = z⋅R.

Half-life is calculated from the loss rate z, as ln2/z.

Denotes a fixed value.

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