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. 2016 Jun;357(3):509–519. doi: 10.1124/jpet.116.232421

TABLE 3.

Expected additive ED50 values (Zadd), actual (experimentally determined) ED50 values (Zmix), and the ratio of expected/actual ED50 values for drug mixtures for antinociception and operant responding in rats

Mixture Zadd (95% CL) Zmix (95% CL)
Mechanical nociception test
 1:3 2-BFI/fentanyl 1.78 (1.43, 2.21) 1.19 (0.90, 1.58)
 1:1 2-BFI/fentanyl 3.54 (2.86, 4.40) 2.62 (2.05, 3.36)
 3:1 2-BFI/fentanyl 5.31 (4.28, 6.58) 3.80 (2.77, 5.21)
 1:3 2-BFI/buprenorphine 7.10 (5.73, 8.81) 1.42 (0.94, 2.13)a
 1:1 2-BFI/buprenorphine 7.09 (5.72, 8.78) 1.88 (1.25, 2.84)a
 3:1 2-BFI/buprenorphine 7.08 (5.71, 8.77) 6.50 (4.19, 10.08)
 1:3 2-BFI/NAQ 31.70 (25.57, 39.29) 4.95 (3.66, 6.71)a
 1:1 2-BFI/NAQ 15.29 (12.33, 18.95) 3.32 (2.59, 4.24)a
 3:1 2-BFI/NAQ 9.81 (7.92, 12.16) 5.23 (3.62, 7.56)a
Thermal nociception test
 1:3 2-BFI/fentanyl 2.52 (1.92, 3.30) 4.05 (3.28, 5.01)b
 1:1 2-BFI/fentanyl 5.01 (3.81, 6.58) 7.62 (6.50, 8.95)b
 3:1 2-BFI/fentanyl 7.50 (5.71, 9.85) 8.83 (7.12, 10.96)
 1:3 2-BFI/buprenorphine 2.51 (1.90, 3.31) 5.19 (3.18, 8.48)
 1:1 2-BFI/buprenorphine 5.00 (3.80, 6.58) 8.16 (4.99, 13.35)
 3:1 2-BFI/buprenorphine 7.49 (5.70, 9.85) 12.23 (9.41, 15.91)
 1:3 2-BFI/NAQ 44.77 (34.08, 58.83) 11.07 (6.60, 18.59)a
 1:1 2-BFI/NAQ 21.57 (16.42, 28.34) 11.28 (6.26, 20.33)
 3:1 2-BFI/NAQ 13.85 (10.54, 18.20) 11.02 (6.36, 19.10)
Operant responding
 Mixtures in mechanical nociception test
  1:3 2-BFI/fentanyl 5.60 (4.67, 6.72) 5.51 (3.87, 7.84)
  1:1 2-BFI/fentanyl 7.04 (5.87, 8.43) 5.43 (4.26, 6.95)
  3:1 2-BFI/fentanyl 8.43 (7.04, 10.11) 7.81 (6.32, 9.67)
  1:3 2-BFI/buprenorphine 8.52 (7.11, 10.22) 5.27 (3.86, 7.19)
  1:1 2-BFI/buprenorphine 8.97 (7.48, 10.75) 6.97 (5.58, 8.70)
  3:1 2-BFI/buprenorphine 9.41 (7.85, 11.27) 6.93 (5.02, 9.57)
  1:3 2-BFI/NAQ 11.04 (6.62, 19.04) 10.73 (6.77, 17.00)
  1:1 2-BFI/NAQ 10.64 (7.16, 16.63) 11.48 (8.31, 15.85)
  3:1 2-BFI/NAQ 10.25 (7.69, 14.21) 8.22 (7.34, 9.20)
 Mixtures in thermal nociception test
  1:3 2-BFI/fentanyl 4.28 (3.57, 5.13) 6.28 (5.23, 7.53)b
  1:1 2-BFI/fentanyl 6.13 (5.12, 7.36) 6.08 (4.85, 7.63)
  3:1 2-BFI/fentanyl 7.99 (6.67, 9.58) 8.19 (5.94, 11.31)
  1:3 2-BFI/buprenorphine 8.52 (7.11, 10.22) 7.63 (6.40, 9.11)
  1:1 2-BFI/buprenorphine 8.97 (7.48, 10.75) 6.92 (5.12, 9.39)
  3:1 2-BFI/buprenorphine 9.41 (7.85, 11.27) 8.09 (6.50, 10.06)
  1:3 2-BFI/NAQ 11.04 (6.62, 19.04) 8.81 (5.94, 13.07)
  1:1 2-BFI/NAQ 10.64 (7.16, 16.63) 11.81 (6.91, 20.18)
  3:1 2-BFI/NAQ 10.25 (7.69, 14.21) 9.42 (7.28, 12.20)
a

Zmix confidence limits do not overlap with Zadd confidence limits: Zmix lower than Zadd (supra-additivity).

b

Zmix confidence limits do not overlap with Zadd confidence limits: Zmix higher than Zadd (infra-additivity).