Model Mathematics

\frac{d}{d time} (RP_LH) = syn_LH_E2_P4 - rel_LH_E2_P4_RP_LH syn_LH_E2_P4 = \frac{V0_LH + \frac{V1_LH {E2_dE}^{h}}{{Km_LH}^{h} + {E2_dE}^{h}}}{1.0 + \frac{P4_dP}{Ki_LHP}} rel_LH_E2_P4_RP_LH = \frac{kLH_rel (1.0 + CLH_P P4) RP_LH}{1.0 + CLH_E E2}

\frac{d}{d time} (LH) = \frac{rel_LH_E2_P4_RP_LH}{v_dis} - clear_LH clear_LH = kLH_cl LH

\frac{d}{d time} (RP_FSH) = syn_FSH_Ih - rel_FSH_E2_P4_RP_FSH syn_FSH_Ih = \frac{V_FSH}{1.0 + \frac{Ih_dIh}{Ki_FSH_Ih}} rel_FSH_E2_P4_RP_FSH = \frac{kFSH_rel (1.0 + CFSH_P P4) RP_FSH}{1.0 + CFSH_E {E2}^{2.0}}

\frac{d}{d time} (FSH) = \frac{rel_FSH_E2_P4_RP_FSH}{v_dis} - clear_FSH clear_FSH = kFSH_cl FSH

E2 = (300.0 - (\frac{240.0 {(time + 1.0)}^{2.0}}{3.0 + {(time + 1.0)}^{2.0}})) + 90.0 ⅇ^{- (\frac{{(time - 8.0)}^{2.0}}{10.0})}

E2_dE = (300.0 - (\frac{240.0 {(time + 1.0 - dE)}^{2.0}}{3.0 + {(time + 1.0 - dE)}^{2.0}})) + 90.0 ⅇ^{- (\frac{{(time - (dE + 8.0))}^{2.0}}{10.0})}

P4 = 52.0 ⅇ^{- (\frac{{(time - 7.0)}^{2.0}}{18.0})}

P4_dP = 52.0 ⅇ^{- (\frac{{(time - (dP + 7.0))}^{2.0}}{18.0})}

Ih = 300.0 + 1330.0 ⅇ^{- (\frac{{(time - 7.0)}^{2.0}}{19.0})}

Ih_dIh = 300.0 + 1330.0 ⅇ^{- (\frac{{(time - (7.0 + dIh))}^{2.0}}{19.0})}