Model Mathematics

Component: environment

Component: Q_Ca_p

ddtime Q_Ca_p = J_bp_Ca + J_ip_Ca - J_pb_Ca + J_pu_Ca

Component: Q_P_p

ddtime Q_P_p = J_bp_P + J_ip_P + J_cp_P - J_pb_P + J_pu_P + J_pc_P

Component: Q_P_c

ddtime Q_P_c = J_pc_P - J_cp_P

Component: Q_PTH_p

ddtime Q_PTH_p = S_PTH - k_PTH 1.0 C_PTH_p

Component: Q_Ca_b

ddtime Q_Ca_b = J_pb_Ca - J_bp_Ca

Component: Q_P_b

ddtime Q_P_b = J_pb_P - J_bp_P

Component: Q_E_k

ddtime Q_E_k = S_E - k_E Q_E_k

Component: Q_D_p

ddtime Q_D_p = 1.0 Q_E_k - k_D Q_D_p

Component: Q_TCa_i

ddtime Q_TCa_i = 1.0 - Q_TCa_i k1_D - Q_TCa_i k2_D

Component: Q_C_PT

ddtime Q_C_PT = 1.0 - Q_C_PT k3_D - Q_C_PT k4_D

Component: Q_TP_k

ddtime Q_TP_k = 1.0 - Q_TP_k k1_P - Q_TP_k k2_P

Component: model_fluxes

J_pb_Ca = k_Ca_b Q_Ca_b J_bp_P = Stoic_Ca_P J_bp_Ca J_pb_P = Stoic_Ca_P J_pb_Ca J_ip_Ca = Y_Ca_i_2plus 1.0 - Q_TCa_i 1.0 k1_D + k_Ca_i 1.0 C_Ca_i - C_Ca_p - Q_TCa_i k2_D J_ip_P = J_P_ing S_PTH = 1.0 Y_Ca_p_1minus k3_D 1.0 - Q_C_PT - k4_D Q_C_PT J_pc_P = k4_P 1.0 C_P_p J_cp_P = k3_P Q_P_c

Component: model_parameters

Ca_thr = 1.95 + Y_PTH_p_2plus Ca_T = Ca_thr C_Ca_p P_thr = Y_PTH_p_2minus Q_TP_k P_T = P_thr C_P_p k1_D = Y_i_D_p_1plus k2_D = Y_i_D_p_1minus k3_D = Y_PT_D_p_1plus k4_D = Y_PT_D_p_1minus k1_P = Y_k_Jext_1plus Y_i_D_p_1plus = Y_i_D_p_1plus_minus_Max a 1.0 +tanh b_i_D C_D_p - X_R_i_D + d Y_PT_D_p_1plus = Y_PT_D_p_1plus_minus_Max a 1.0 +tanh b_PTH_D C_D_p - X_R_PTH_D + d Y_k_Jext_1plus = Y_k_Jext_1plus_minus_Max a 1.0 +tanh b_E_PTH 1.0 C_P_p - X_R_E_PTH + d Y_Ca_p_1minus = Y_Ca_p_1plus_minus_Max a 1.0 -tanh b_PTH_Ca C_Ca_p - X_R_PTH_Ca + d Y_i_D_p_1minus = Y_i_D_p_1plus_minus_Max a 1.0 -tanh b_i_D C_D_p - X_R_i_D + d Y_PT_D_p_1minus = Y_PT_D_p_1plus_minus_Max a 1.0 -tanh b_PTH_D C_D_p - X_R_PTH_D + d Y_Ca_i_2plus = Y_Ca_i_2plus_Max C_Ca_i C_Ca_i + X_R_i_Ca Y_PTH_p_2plus = Y_PTH_p_2plus_Max C_PTH_p C_PTH_p + 1.0 X_R_P_k_PTH Y_PTH_p_2minus = Y_PTH_p_2minus_Max X_R_P_k_PTH 1.0 C_PTH_p + X_R_P_k_PTH