Table 3.

Summary of the input parameters and their estimates derived from 50 simulated data sets using equation 7 (simulations 1–4) and equation 12

Simulation	Emax	pKa	logε	logχ1	logχ2	logχ3	logχ4	logχ5	logm	basal
1. Input	1.50	9.30	2.70	−2.42	−2.02	−1.62	−1.22	−0.82	−0.15	0.90
1. Estimate	1.51 ± 0.09	9.34 ± 0.20	2.75 ± 0.16	−2.45 ± 0.12	−2.06 ± 0.11	−1.65 ± 0.10	−1.25 ± 0.10	−0.85 ± 0.08	−0.16 ± 0.04	0.90 ± 0.05
2. Input	1.50	9.70	2.70	−2.91	−2.43	−1.95	−1.48	−1.00	0.00	0.90
2. Estimate	1.51 ± 0.10	9.72 ± 0.07	2.69 ± 0.18	−2.89 ± 0.17	−2.43 ± 0.16	−1.95 ± 0.14	−1.48 ± 0.13	−1.00 ± 0.10	0.00 ± 0.04	0.88 ± 0.06
3. Input	1.50	9.70	2.48	−2.73	−2.26	−1.78	−1.30	−0.82	0.30	0.90
3. Estimate	1.52 ± 0.09	9.69 ± 0.04	2.46 ± 0.13	−2.72 ± 0.13	−2.23 ± 0.13	−1.77 ± 0.11	−1.30 ± 0.08	−0.83 ± 0.04	0.30 ± 0.04	0.89 ± 0.05
4. Input	1.50	9.70	2.30	−2.01	−1.41	−0.81	−0.20	0.40	0.30	0.90
4. Estimate	1.50 ± 0.10	9.71 ± 0.07	2.30 ± 0.14	−2.01 ± 0.13	−1.41 ± 0.12	−0.81 ± 0.06	−0.20 ± 0.03	0.40 ± 0.06	0.31 ± 0.04	0.90 ± 0.06

Equation 12	Emax	pKa	logε	logχ1	logχ2	logχ3	logχ4	logχ5	logk−	basal
Input	1.90	10.00	2.00	−2.52	−2.22	−1.92	−1.60	−1.30	0.40	0.95
Estimate	1.89 ± 0.15	10.2 ± 0.9	2.04 ± 0.16	−2.54 ± 0.15	−2.27 ± 0.14	−1.95 ± 0.13	−1.63 ± 0.11	−1.31 ± 0.10	0.3 ± 1.0	0.94 ± 0.05
Trimmed*	1.89 ± 0.15	10.0 ± 0.3	2.04 ± 0.15	−2.54 ± 0.14	−2.27 ± 0.13	−1.95 ± 0.12	−1.63 ± 0.11	−1.31 ± 0.09	0.5 ± 0.5	0.93 ± 0.05

^*In the case of equation 12, two of the simulations resulted in extremely aberrant estimates of the ligand binding parameters (pK_a= 14.4, 13.7; logk_-=−4.05, −3.53). These replicates were excluded from the summary statistics in the ‘Trimmed’ row.

Parameter estimates are presented as mean ± SD.