Table 1 Model parameters treated as constants (n = 97)

Body weight^a

BodyWt

0.0016 (kg)

Watanabe et al. [38]

Volumetric water flowing through gills

FW_gil

10.6× BodyWt ^0.75 (L/hr)

Nichols et al. [57]

Cardiac output

F_car

2.06× BodyWt ^0.75 (L/hr)

Nichols et al. [57]

Percentage of brain to body weight (BSI)

P_brn

1.18

Measured by D. Villeneuve

Percentage of gonads to body weight (GSI)^b

P_gon

11

Watanabe et al. [38]

Percentage of liver to body weight (HSI)^c

P_liv

3.0

Watanabe et al. [38]

Percentage of gills to body weight

P_gil

1.67

Nichols et al. [58]

Percentage of venous blood to body weight

P_ven

2.59

Robinson et al. [59]

Nichols et al. [58]

Percentage of "other" to body weight

P_oth

= 100- P_brn- P_gon- P_liv- P_gil- P_ven

Watanabe et al. [20]

Fraction of blood flow in brain to cardiac output

Nichols et al. [58]

Fraction of blood flow in gonad to cardiac output

Nichols et al. [58]

Fraction of blood flow in liver to cardiac output

Nichols et al. [58]

Fraction of blood flow in "other" to cardiac output

Nichols et al. [58]

Fraction of plasma in venous blood

F_{plasma, ven}

0.45

Measured by K. Kroll

Total concentration of estrogen receptors in brain

C_{ER, brn}

14.3 (nmol/L tissue)

Plowchalk and Teaguarden [60]

Total concentration of estrogen receptors in gonad

C_{ER, gon}

29 (nmol/L tissue)

Plowchalk and Teaguarden [60]

Total concentration of LH receptors in gonad

C_{LR, gon}

2.0 (nmol/L tissue)

Miwa et al. [61]

Total concentration of SBP in blood

C_{SBP, ven}

400 (nmol/L blood)

Laidley and Thomas[37]

Teeguarden and Barton [36]

Total concentration of AR in gonad

C_{AR, gon}

1.05 (nmol/L tissue)

Sperry and Thomas [62]

Total concentration of AR in liver

C_{AR, liv}

= C_{AR, gon}

assumed

Association rate of E₂ to estrogen receptor in brain

k _{1_E2ER, brn}

0.743

Murphy et al. [63]

Dissociation constant of E₂ to estrogen receptor in gonad

K _{d_E2ER, gon}

= K_{d _E2ER, brn}

assumed

Association rate of E₂ to estrogen receptor in gonad

k _{1_E2ER, gon}

= k_{1 _E2ER, brn}

assumed

Dissociation constant of E₂ to estrogen receptor in liver

K _{d_E2ER, liv}

= K_{d _E2ER, brn}

assumed

Association rate of E₂ to estrogen receptor in liver

K _{1_E2ER, liv}

= k_{1 _E2ER, brn}

assumed

Dissociation constant of EE₂ to estrogen receptor in brain

K _{d_EE2ER, brn}

= K_{d _E2ER, brn}/RBA_{EE2_E2}

Denny et al. [15]

Association rate of EE₂ to estrogen receptor in brain

k _{1_EE2ER, brn}

= k_{1 _E2ER, brn}

assumed

Dissociation constant of EE₂ to estrogen receptor in gonad

K _{d_EE2ER, gon}

= K_{d _EE2ER, brn}

assumed

Association rate of EE₂ to estrogen receptor in gonad

k _{1_EE2ER, gon}

= k_{1 _EE2ER, brn}

assumed

Dissociation constant of EE₂ to estrogen receptor in liver

K _{d_EE2ER, liv}

= K_{d _EE2ER, brn}

assumed

Association rate of EE₂ to estrogen receptor in liver

k _{1_EE2ER, liv}

= k_{1 _EE2ER, brn}

assumed

Dissociation constant of T to androgen receptor in brain

K _{d_TAR, brn}

3 (nmol/L)

Sperry and Thomas [62]

Association rate of T to androgen receptor in brain

k _{1_TAR, brn}

0.08 (L/nmol/hr)

Sperry and Thomas [62]

Dissociation constant of T to androgen receptor in gonad

K _{d_TAR, gon}

= K_{d _TAR, brn}

assumed

Association rate of T to androgen receptor in gonad

k _{1_TAR, gon}

= k_{1 _TAR, brn}

assumed

Dissociation constant of T to androgen receptor in liver

K _{d_TAR, liv}

= K_{d _TAR, brn}

assumed

Association rate of T to androgen receptor in liver

k _{1_TAR, liv}

= k_{1 _TAR, brn}

assumed

Dissociation constant of TB to androgen receptor in brain

K _{d_TBAR, brn}

= K_{d _TAR, brn}/RBA _{TB_T}

Wilson et al. [64]

Association rate of TB to androgen receptor in brain

k _{1_TBAR, brn}

= k_{1 _TAR, brn}

assumed

Dissociation constant of TB to androgen receptor in gonad

K _{d_TBAR, gon}

= K_{d _TBAR, brn}

assumed

Association rate of TB to androgen receptor in gonad

k _{1_TBAR, gon}

= k_{1 _TBAR, brn}

assumed

Dissociation constant of TB to androgen receptor in liver

K _{d_TBAR, liv}

= K_{d _TBAR, brn}

assumed

Association rate of TB to androgen receptor in liver

k _{1_TBAR, liv}

= k_{1 _TBAR, brn}

assumed

Dissociation constant of E₂ to SBP in blood

K _{d_E2SBP, ven}

3.13 (nmol/L)

Murphy et al. [63]

Association rate of E₂ to SBP in blood

k _{1_E2SBP, ven}

5.6687 (L/nmol/hr)

Murphy et al. [63]

Dissociation constant of T to SBP in blood

K _{d_TSBP, ven}

4.89 (nmol/L)

Murphy et al. [63]

Association rate of T to SBP in blood

K _{1_TSBP, ven}

5.6687 (L/nmol/hr)

Murphy et al. [63]

Dissociation constant of EE₂ to SBP in blood

K _{d_EE2SBP, ven}

0.58 (nmol/L)

Miguel-Queralt and Hammond [34]

Association rate of EE₂ to SBP in blood

k _{1_EE2SBP, ven}

5.6687 (L/nmol/hr)

Murphy et al. [63]

Dissociation constant of LH to LH receptor in gonad

K _{d_LHLR, gon}

2.9 (nmol/L)

Crim et al. [65]

Association rate of LH to LH receptor in gonad

k _{1_LHLR, gon}

0.2 (L/nmol/hr)

Watanabe et al. [20]

Scaling coefficient of Vmax of T production in gonad (= Vmax/bodyweight ^0.75)

sc_Vmax_{Scc, gon}

1.1e+05 (nmol/hr/kg body weight)

Kashiwagi et al. [66];

Shikita and Hall [67]

K_0.5 of T production in gonad

K_{0.5Scc, gon}

190 (nmol/L)

Shikita and Hall [67]

Inhibition constant of T production by bound ER

K_T

0.016

Watanabe et al. [20]

Km of E₂ production in gonad

Km_{aro, gon}

9.6 (nmol/L)

Zhao et al. [68]

Concentration of microsomal protein in gonads

D_{mp, gon}

3100 (mg/L)

Measured by D. Villeneuve

Ratio between the concentrations of microsoaml protein in gonads and brain

Rho_mp

0.174

Measured by D. Villeneuve

Scaling coefficient of Vmax of E₂ production in brain (= Vmax/mass of microsomal protein in brain)

sc_Vmax_{aro, brn}

= 4.6× sc_Vmax_{aro, gon}

Zhao et al. [68]

Km of E₂ production in brain

Km_{aro, brn}

9.6 (nmol/L)

Zhao et al. [68]

Concentration of microsomal protein in brain

D_{mp, brn}

= D_{mp, gon}/Rho_mp

Measured by D. Villeneuve

Ratio between concentrations of STAR and bound LR in gonads

Rho_{STAR, gon}

1

assumed

Rate constant for Vtg uptake into oocytes

k _{vtg, gon}

0.05

assumed

K_0.5 of Vtg production in liver production

K_{0.5Vtg, liv}

1.0 (nmol/L)

Watanabe et al. [20]

Elimination rate constant for ER

in the liver compartment

k_e__{ER, liv}

0.01 (1/hr)

Murphy et al. [63]

Elimination rate constant for AR

in the brain compartment

k_e__{AR, brn}

0.01 (1/hr)

Assumed

Elimination rate constant for LH

in the "other" compartment

k_e__{LH, oth}

0.1 (1/hr)

Teeguarden and Barton [36]

Elimination rate constant for E₂

in the "other" compartment

k_e__{E2, oth}

0.1 (1/hr)

Teeguarden and Barton [36]

Elimination rate constant for T

in the "other" compartment

k_e__{T, oth}

0.1 (1/hr)

Teeguarden and Barton [36]

Elimination rate constant for EE₂

in the "other" compartment

k_e__{EE2, oth}

0.1 (1/hr)

Teeguarden and Barton [36]

Elimination rate constant for TB

in the "other" compartment

k_e__{TB, oth}

0.1 (1/hr)

Teeguarden and Barton [36]

Elimination rate constant for Vtg

in the "other" compartment

k_e__{Vtg, oth}

0.001 (1/hr)

Teeguarden and Barton [36]

Partition coefficient of LH

(brain to blood)

λ _{LH, brn}

1

Teeguarden and Barton [36]

Partition coefficient of LH

(gonad to blood)

λ _{LH, gon}

1

Teeguarden and Barton [36]

Partition coefficient of LH

(liver to blood)

λ _{LH, liv}

1

Teeguarden and Barton [36]

Partition coefficient of LH

("other" to blood)

λ _{LH, oth}

1

Teeguarden and Barton [36]

Partition coefficient of VTG

(brain to blood)

λ _{VTG, brn}

1

Teeguarden and Barton [36]

Partition coefficient of VTG

(gonad to blood)

λ _{VTG, gon}

1

Teeguarden and Barton [36]

Partition coefficient of VTG

(liver to blood)

λ _{VTG, liv}

1

Teeguarden and Barton [36]

Partition coefficient of VTG

("other" to blood)

λ _{VTG, oth}

1

Teeguarden and Barton [36]

Partition coefficient of EE₂

(blood to water)

λ _{EE2, bld}

300

Watanabe et al. [20]

Partition coefficient of EE₂

(brain to blood)

λ _{EE2, brn}

1

Teeguarden and Barton [36]

Partition coefficient of EE₂

(gonad to blood)

λ _{EE2, gon}

1

Teeguarden and Barton [36]

Partition coefficient of EE₂

(liver to blood)

λ _{EE2, liv}

3

Watanabe et al. [20]

Partition coefficient of EE₂

("other" to blood)

λ _{EE2, oth}

1

Teeguarden and Barton [36]

Partition coefficient of E₂

(blood to water)

λ _{E2, bld}

300

Watanabe et al. [20]

Partition coefficient of E₂

(brain to blood)

λ _{E2, brn}

1

Teeguarden and Barton [36]

Partition coefficient of E₂

(gonad to blood)

λ _{E2, gon}

1

Plowchalk and Teeguarden [60]

Partition coefficient of E₂

(liver to blood)

λ _{E2, liv}

3

Watanabe et al. [20]

Partition coefficient of E₂

("other" to blood)

λ _{E2, oth}

1

Plowchalk and Teeguarden [60]

Partition coefficient of T

(brain to blood)

λ _{T, brn}

1

Barton and Andersen [69]

Partition coefficient of T

(gonad to blood)

λ _{T, gon}

1

Barton and Andersen [69]

Partition coefficient of T

(liver to blood)

λ _{T, liv}

1

Barton and Andersen [69]

Partition coefficient of T

("other" to blood)

λ _{T, oth}

1

Barton and Andersen [69]

Partition coefficient of TB

(brain to blood)

λ _{TB, brn}

1

Barton and Andersen [69]

Partition coefficient of TB

(gonad to blood)

λ _{TB, gon}

1

Barton and Andersen [69]

Partition coefficient of TB

(liver to blood)

λ _{TB, liv}

1

Barton and Andersen [69]

Partition coefficient of TB

("other" to blood)

λ _{TB, oth}

1

Barton and Andersen [69]