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. 2010 Sep 24;37(5):435–474. doi: 10.1007/s10928-010-9167-z

Table 3.

Test 1, summary of Tk-GV results showing no out-of-bounds, i.e., nonphysical, parameter values. Parameter values do not correspond in adjacent row cells!

Parameters from Tk-GV fits Jackknife LOOa
Percentile Inline graphic Inline graphic α β (min−1) CL (ml/min) V (ml) s CL (ml/min) s V (ml) s CL (ml/min) s V (ml)
0th 0 −5.364 0.5945 0.000106 1.242 7404 0.1876 63.02 0.1075 18.71
25th 0.01216 −4.537 0.7140 0.002169 44.39 13127 1.404 288.0 0.8542 200.6
50th 0.09308 −4.280 0.7749 0.003452 74.28 16275 2.510 474.5 1.696 384.8
75th 0.2610 −3.991 0.8649 0.004556 105.5 18490 3.703 690.6 2.708 531.9
100th 2.197 −3.386 0.9895 0.009080 157.6 31124 6.222 1344 10.51 1283
Probabilityb <0.0001 0.970 0.158 0.123 0.162 0.166 0.116 0.113 <0.0001 0.004

The 46 patient studies parameters are listed in percentiles from smallest to largest case from fitting all 8 or occasionally 9 samples. Parameters for the fit equation Inline graphic were regressed by Tikhonov regularization with the dimensionless shrinkage factor, λ, a.k.a., the Tikhonov “smoothing” parameter. α is also dimensionless. Inline graphic has the units of concentration. The resulting plasma–clearance rates and volumes are CL and V. The standard deviations, s CL and s V are calculated by two independent methods. The first is directly from Tikhonov regularization of m samples, using the standard formula for propagation of small errors

aThe second method uses jackknife of 373 leave one out (LOO) Tk-GV trials (m − 1 samples)

bShapiro–Wilk probability is a method of testing for a Normal Distribution (ND). Note that lnK is an ND