Model Mathematics

Component: environment

Component: OB_p

ddtime OB_p = D_OB_u pi_TGF_beta_act - D_OB_p pi_TGF_beta_rep OB_p + pd_OB_p

Component: OB_a

ddtime OB_a = D_OB_p pi_TGF_beta_rep OB_p - A_OB_a OB_a + pd_OB_a

Component: OC_a

ddtime OC_a = D_OC_p pi_RANKL_act - A_OC_a pi_TGF_beta_act OC_a + pd_OC_a D_OC_p =2.100e-2if time > 0.0 time 100.0 2.100e-3otherwise

Component: BV

ddtime BV = k_form OB_a - OB_a_initial - k_res OC_a - OC_a_initial

Component: TGF_beta

pi_TGF_beta_act = alpha OC_a KD_TGF_activate + alpha OC_a pi_TGF_beta_rep = 1 1 + alpha OC_a KD_TGF_repress

Component: PTH

pi_PTH_act = PTH_tot PTH_tot + KD_PTH_activate pi_PTH_rep = 1 1 + PTH_tot KD_PTH_repress PTH_tot = beta_PTH + P_PTH_d Deg_PTH

Component: OPG

OPG = P_OPG_d + OPG_eff OPG_eff OPG_max + Deg_OPG OPG_eff = beta1_OB_p_OPG beta_OPG OB_p + beta2_OB_a_OPG beta_OPG OB_a pi_PTH_rep prod_OPG = OPG_eff 1 - OPG OPG_max + P_OPG_d Degr_OPG = Deg_OPG OPG

Component: RANKL

RANKL = beta_RANKL + P_RANKL_d RANKL_tot beta_RANKL RANKL_eff + Deg_RANKL RANKL_eff = K_RANKL_OB_p OB_p + K_RANKL_OB_a OB_a pi_PTH_act K_RANKL_OB_p = R1_OB_p_RANKL R_RANKL K_RANKL_OB_a = R2_OB_a_RANKL R_RANKL RANKL_tot = 1 + K_A2_RANKL RANK + K_A1_RANKL OPG pd_RANKL = beta_RANKL 1 - RANKL RANKL_tot RANKL_eff - Deg_RANKL RANKL RANKL_tot + P_RANKL_d pi_RANKL_act = RANKL_RANK KD_RANKL_activate + RANKL_RANK OPG_RANKL = K_A1_RANKL OPG RANKL RANKL_RANK = K_A2_RANKL RANKL RANK

Component: model_parameters