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. 2016 Jan 28;42(1):59–68. doi: 10.1007/s13318-016-0319-4

Table 1.

Final model: population parameters

Parameter Estimate % RSE [95 % CI] Mean prediction error (%); [95 %CI]
F 1 0.300 6.65 [0.260; 0.340] 21.7 [10.4; 33.1]
k 12 (h−1) nanosuspensions 0.259 12.1 [0.197; 0.322] −25.0 [−29.6; −20.4]
k 12 (h−1) solution 0.299 12.6 [0.224; 0.375] −25.0 [−29.6; −20.4]
k 13 (h−1) 0.340 5.28 [0.304; 0.376] 2.53 [−1.23; 6.29]
Q (µL/h)a 0.136 19.8 [0.0821; 0.190] 32.2 [−2.45; 66.37]
Cl nl (µL/h)b 275 9.87 [220; 329] 20.5 [−17.7; 58.7]
Cl ah (µL/h)c 231 9.58 [187; 274] 13.8 [5.09; 22.5]
V 1 (µL) 155 16.4 [104; 206] 39.7 [17.6; 61.9]
V 2 (µL) 1.24 39.3 [0.266; 2.22] 93.1 [−11.0; 196]
V 3 (µL) 42.8 5.54 [38.1; 47.6] 0.220 [−2.74; 3.18]
V 4 (µL) 218 14.5 [155; 282] 29.4 [2.98; 55.7]
Estimate (%) CV % [95 % CI]—shrinkage  %
Inter-individual variability
 F 1 60.5 17.6 [48.7; 70.3]—1.97
 k 12 80.0 18.3 [63.8; 93.6]—91.5
 k 13 45.3 16.7 [37.0; 52.3]—59.7
 Q 172 17.3 [139; 199]—17.8
 Cl nl 90.5 16.7 [73.9; 104]—19.2
 Cl ah 92.0 16.9 [74.9; 106]—74.4
 V 1 153 17.0 [124; 177]—47.4
 V 2 437 18.4 [347; 511]—60.6
 V 3 51.1 18.2 [40.8; 59.7]—98.5
 V 4 265 18.6 [210; 311]—81.8
Residual variability
 σ 0.491 107 [NA; 0.871]—99.8

CI confidence interval, NA not applicable, F 1 relative bioavailability in the tears, k 12 (h−1) rate constant (tear to the naso-lacrymal duct) in nanosuspensions and in solution, k 13 (h−1) rate constant (tear to cornea), k 34 rate constant (cornea to aqueous humor, k 43 rate constant (from aqueous humor to cornea, k 20 elimination rate constant from naso-lacrimal duct, k 40 elimination rate constant from aqueous humor, Q (µL/h) inter-compartmental clearance (cornea/aqueous humor), Cl nl (µL/h) clearance from naso-lacrymal duct, Cl ah (µL/h) clearance from aqueous humor, V 1 (µL) volume of distribution (tear), V 2 (µL) volume of distribution of naso-lacrymal duct, V 3 (µL) volume of distribution of cornea, V 4 (µL) volume of distribution of the aqueous humor

a Q = k 34 × V 3 = k 43 × V 4

b Cl nl = k 20 × V 2

c Cl ah = k 40 × V 4