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Table 2 Summary statistics for prior and posterior distributions of calibrated model parameters (n = 26)

From: A computational model of the hypothalamic - pituitary - gonadal axis in female fathead minnows (Pimephales promelas) exposed to 17α-ethynylestradiol and 17β-trenbolone

Parameter description Symbols Prior Distribution
(P1, P2)a
Reference Mean (Posterior Distribution) Median (Posterior Distribution) 95% Confidence Interval (Posterior Distribution)
Partition coefficient of TB (blood to water) λ TB, bld Loguniform
(1, 1.0E+3)
Assumed 7.47 7.47 (5.96, 8.93)
Dissociation constant of E2 binding to ER in brain (nmol/L) K d_E2ER, brn Lognormal
(8.6, 3)
Denny et al. [15] 1.12 1.08 (0.71, 1.87)
Relative binding affinity of EE2 to E2 for ER binding RBAEE2_E2 Lognormal
(1.66, 3)
Denny et al. [15]
Gale et al. [14]
3.24 1.64 (0.030, 16.79)
Relative binding affinity of TB to T for AR binding RBATB_T Lognormal
(6.03, 3)
Wilson et al. [64] 5.25 4.84 (2.29, 10.76)
Inhibition factor for LH production by bound AR (nmol/L) ρ d_LH, brn LogUniform
(0.01, 1.0E+3)
Assumed 0.11 0.10 (0.042, 0.21)
Induction factor for LH production by bound ER (nmol/L) ρu_LH, brn LogUniform
(0.01, 1.0E+3)
Assumed 238 138 (4.23, 864)
Hill coefficient for T production n T Lognormal
(1.8, 3)
Murphy et al. [63] 1.03 1.01 (0.93, 1.19)
Proportionality constant relating cholesterol to StAR ρ Chol, gon Loguniform
(1, 5.0E+3)
Artemenk et al. [70] 2.37 1.83 (1.04, 6.69)
Scaling coefficient of Vmax for E2 production in gonad (nmol/hr/mg micro-protein) sc_Vmaxaro, gon Loguniform
(2.3E-5, 0.23)
Zhao et al. [71] 1.56E-3 1.53E-3 (1.15E-3, 2.12E-3)
Induction factor of E2 production by bound LH (L/nmol) ρ E2_LHLR, gon Loguniform
(0.1, 100)
assumed 79.84 82.79 (42.61, 99.15)
Scaling coefficient of Vmax for Vtg production in liver (= Vmax/BodyWeight0.75) (nmol/hr/kg0.75) sc_VmaxVtg, liv Loguniform
(1, 1.0E+4)
Watanabe et al. [20] 175 169 (121, 271)
Hill coefficient of Vtg production in liver n VTG Uniform
(1, 10)
Assumed 2.88 2.87 (1.97, 3.87)
ER background production rate in liver (nmol/L/hr) PbgER, liv Loguniform
(5.0E-5, 0.5)
assumed 0.12 0.12 (0.084, 0.17)
Induction rate constant for ER production in liver (1/hr) kER, liv Lognormal
(0.08, 3)
Watanabe et al. [20] 0.027 0.025 (5.73E-3, 0.065)
AR background production rate in brain (nmol/L/hr) PbgAR, brn Loguniform
(5.0E-5, 0.5)
assumed 0.012 0.012 (9.1E-3, 0.015)
Inhibition factor of AR production by free androgens (nmol/L) KAR, brn Loguniform
(5E-4, 5)
assumed 3.95 4.08 (2.15, 4.95)
Magnitude of LH production (nmol/hr) MagLH Loguniform
(2.7E-7, 2.7E-3)
Schulz et al. [72] 8.86E-6 8.75E-6 (6.29E-6, 1.20E-5)
Error variance of plasma E2 concentration in natural log space for unexposed female FHMs Var_Ln_CE2tot_pla_ngml Inverse Gamma
(2, 1.19)
Bois et al. [73] 0.52 0.51 (0.38, 0.73)
Error variance of plasma T concentration in natural log space for unexposed female FHMs Var_Ln_CTtot_pla_ngml Inverse Gamma
(2, 0.53)
Bois et al. [73] 0.48 0.47 (0.34, 0.69)
Error variance of plasma VTG concentration in natural log space for unexposed female FHMs Var_Ln_CVTG_pla_mgml Inverse Gamma
(2, 5.31)
Bois et al. [73] 0.49 0.48 (0.35, 0.68)
Error variance of plasma E2 concentration in natural log space for TB-exposed female FHMs Var_Ln_CE2tot_pla_ngml Inverse Gamma
(2, 1.19)
Bois et al. [73] 0.70 0.69 (0.48, 1.03)
Error variance of plasma T concentration in natural log space for TB-exposed female FHMs Var_Ln_CTtot_pla_ngml Inverse Gamma
(2, 0.53)
Bois et al. [73] 0.40 0.39 (0.27, 0.60)
Error variance of plasma VTG concentration in natural log space for TB-exposed female FHMs Var_Ln_CVTG_pla_mgml Inverse Gamma
(2, 5.31)
Bois et al. [73] 5.86 5.72 (3.98, 8.60)
Error variance of plasma E2 concentration in natural log space for EE2-exposed female FHMs Var_Ln_CE2tot_pla_ngml Inverse Gamma
(2, 1.19)
Bois et al. [73] 1.43 0.81 (0.22, 6.31)
Error variance of plasma T concentration in natural log space for EE2-exposed female FHMs Var_Ln_CTtot_pla_ngml Inverse Gamma
(2, 0.53)
Bois et al. [73] 0.59 0.34 (0.10, 2.76)
Error variance of plasma VTG concentration in natural log space for EE2-exposed female FHMs Var_Ln_CVTG_pla_mgml Inverse Gamma
(2, 5.31)
Bois et al. [73] 0.73 0.71 (0.51, 1.03)
  1. a Definition of P1 and P2 of prior distributions. Loguniform: P1 = minimum of the sampling range in natural space; P2 = maximum of the sampling range in natural space. Lognormal: P1 = geometric mean (exponential of the mean in log-space); P2 = geometric standard deviation (exponential of the standard deviation in log-space, strictly superior to 1). Uniform: P1 = minimum of the sampling range in natural space; P2 = maximum of the sampling range in natural space. Inverse gamma: P1 = shape; P2 = scale (both of the parameters are strictly positive).