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

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

RBA_{EE2_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

RBA_{TB_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)

ρ_u__{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_Vmax_{aro, 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/BodyWeight^0.75) (nmol/hr/kg^0.75)

sc_Vmax_{Vtg, 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)

Pbg_{ER, 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)

k_{ER, 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)

Pbg_{AR, 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)

K_{AR, brn}

Loguniform

(5E-4, 5)

assumed

3.95

4.08

(2.15, 4.95)

Magnitude of LH production (nmol/hr)

Mag_LH

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)