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. 2019 Feb 21;14(2):e0211981. doi: 10.1371/journal.pone.0211981

Table 2. Overview of parameters in the final model, with estimated value, uncertainty, inter-individual variability, and shrinkage.

Parameters (unit) Parameter Description Estimates (RSE%) Variability in CV% (RSE%)c [SHR%]
Vmax (EU/h) Maximum ETX elimination capacity 442000 (1) -
KM (EU/L) Concentration of ETX for half of Vmax 12600 (17) 120 (21) [13]
Vc (L) Volume of distribution for ETX 36.1 (20) 75.3 (25) [24]
BASEETX (EU/L) Baseline ETX (Endochrome, study C+E)b 155 (20) 96.3 (21) [18]
Baseline ETX (Coatest, study F)b 1810 (38)
MIX a (-) Proportion of individuals with contamination 0.399 (20) -
Propcont (-) Proportionality: BASEETX to contamination 132 (15) -
MTTTNF-α (h) Mean transit time for TNF-α in plasma 1.04 (13) 81.5 (28) [14]
S0,TNF-α (ng/L) Baseline TNF-α (DuoSet, study A+B)b 281 (9) 54.1 (23) [13]
Baseline TNF-α (DuoSet, study E)b 25.4 (12)
Baseline TNF-α (BioSource, study C+F)b 3.06 (29)
Baseline TNF-α (BioSource, study D)b 68.2 (15)
Emax (-) Maximum increase of TNF-α production rate 2540 (9) -
EC0 (EU/L) Concentration of ETX at half of Emax,TNF-α 286 (5) -
γ (-) Sigmoidicity coefficient for Emax relationship 2.10 (26) -
MTTEC50 (h) Mean transit time for EC50EC50,TNF-α 6.33 (5) -
Tmax (-) Maximum increase of EC0,TNF-α 45100 (2) -
TC50 (EU/L) Concentration of ETX at half of Tmax 29300 (3) -
MTTIL-6 (h) Mean transit time for IL-6 in plasma 1.45 (11) 47.4 (41) [21]
S0,IL-6 (ng/L) Baseline IL-6 (DuoSet, study A+B+E)b 49.2 (13) 79.9 (10) [6]
Baseline IL-6 (BioSource, study C+D+F)b 8.19 (10)
ESLP,TNF-α (-) Slope for TNF-α increase of Rprod,IL-6 0.961 (9) -
ESLP,ETX (-) Slope for ETX increase of Rprod,IL-6 0.00937 (28) -
σ ETX (%) Proportional error for ETX 32.1 (16) [23]
σ TNF-α (%) Proportional error for TNF-α 48.5 (8) [11]
σ IL-6 (%) Proportional error for IL-6 50.5 (8) [11]

Abbreviations: CV%: coefficient of variation; ETX: endotoxin; EU: endotoxin units; IL-6: interleukin-6; RSE%: relative standard error in percent; SHR%: shrinkage in percent; TNF-α: tumor necrosis factor alpha

a parameter was fixed in final estimation, and the RSE% is from the final run of the ETX modelling

b The letters (A-F) refer to the study as designated in Table 1.

c Reported on the approximate standard deviation scale (standard error/variance estimate)/2.