/* There are a total of 12 entries in the algebraic variable array. There are a total of 4 entries in each of the rate and state variable arrays. There are a total of 44 entries in the constant variable array. */ /* * VOI is time in component environment (day). * STATES[0] is OB_p in component OB_p (dimensionless). * CONSTANTS[0] is D_OB_u in component OB_p (first_order_rate_constant). * CONSTANTS[1] is K_D1_TGF_beta in component OB_p (pM). * CONSTANTS[2] is K_D2_TGF_beta in component model_parameters (pM). * CONSTANTS[3] is D_OB_p in component model_parameters (first_order_rate_constant). * ALGEBRAIC[1] is TGF_beta in component TGF_beta (pM). * STATES[1] is OB_a in component OB_a (dimensionless). * CONSTANTS[4] is A_OB_a in component OB_a (first_order_rate_constant). * STATES[2] is OC_a in component OC_a (dimensionless). * CONSTANTS[5] is D_OC_p in component OC_a (first_order_rate_constant). * CONSTANTS[6] is A_OC_a in component OC_a (first_order_rate_constant). * CONSTANTS[7] is K_D3_TGF_beta in component OC_a (pM). * CONSTANTS[8] is OC_p in component OC_a (dimensionless). * ALGEBRAIC[6] is RANKL in component RANKL (pM). * ALGEBRAIC[7] is pi_RANKL_act_OC_p in component RANKL (dimensionless). * STATES[3] is BV in component BV (dimensionless). * ALGEBRAIC[0] is OC_a_tilde in component BV (dimensionless). * ALGEBRAIC[2] is OB_a_tilde in component BV (dimensionless). * CONSTANTS[9] is OC_a_initial in component BV (dimensionless). * CONSTANTS[10] is OB_a_initial in component BV (dimensionless). * CONSTANTS[11] is k_form in component BV (first_order_rate_constant). * CONSTANTS[12] is k_res in component model_parameters (first_order_rate_constant). * CONSTANTS[13] is alpha in component TGF_beta (pM). * CONSTANTS[14] is D_TGF_beta_tilde in component TGF_beta (first_order_rate_constant). * CONSTANTS[15] is S_TGF_beta in component TGF_beta (flux). * CONSTANTS[37] is PTH in component PTH (pM). * CONSTANTS[38] is pi_PTH_rep_OB_p in component PTH (dimensionless). * CONSTANTS[39] is pi_PTH_act_OB_p in component PTH (dimensionless). * CONSTANTS[16] is beta_PTH in component PTH (flux). * CONSTANTS[17] is D_PTH_tilde in component PTH (first_order_rate_constant). * CONSTANTS[18] is P_PTH_d in component PTH (flux). * CONSTANTS[19] is K_D4_PTH in component PTH (pM). * CONSTANTS[20] is K_D5_PTH in component PTH (pM). * CONSTANTS[21] is K_D6_PTH in component PTH (pM). * CONSTANTS[22] is K_D7_PTH in component PTH (pM). * CONSTANTS[40] is pi_PTH_act_OB_a in component PTH (dimensionless). * CONSTANTS[41] is pi_PTH_rep_OB_a in component PTH (dimensionless). * ALGEBRAIC[3] is OPG in component OPG (pM). * CONSTANTS[23] is beta1_OPG in component OPG (flux). * CONSTANTS[24] is beta2_OPG in component OPG (flux). * CONSTANTS[25] is OPG_max in component OPG (pM). * ALGEBRAIC[4] is P_OPG_e in component OPG (flux). * CONSTANTS[26] is P_OPG_d in component OPG (flux). * CONSTANTS[27] is D_OPG_tilde in component OPG (first_order_rate_constant). * CONSTANTS[42] is pi_PTH_rep_OB in component OPG (dimensionless). * CONSTANTS[28] is K_A2_RANKL in component RANKL (per_pM). * CONSTANTS[29] is K_A1_RANKL in component RANKL (per_pM). * CONSTANTS[30] is RANK in component RANKL (pM). * ALGEBRAIC[5] is RANKL_eff in component RANKL (pM). * ALGEBRAIC[8] is RANKL_tot in component RANKL (pM). * ALGEBRAIC[11] is P_RANKL in component RANKL (flux). * ALGEBRAIC[9] is P_RANKL_e in component RANKL (flux). * CONSTANTS[31] is P_RANKL_d in component RANKL (flux). * CONSTANTS[32] is R1_RANKL in component RANKL (pM). * CONSTANTS[33] is R2_RANKL in component RANKL (pM). * CONSTANTS[34] is beta_RANKL in component RANKL (flux). * ALGEBRAIC[10] is D_RANKL in component RANKL (flux). * CONSTANTS[35] is D_RANKL_tilde in component RANKL (first_order_rate_constant). * CONSTANTS[43] is pi_PTH_act_OB in component RANKL (dimensionless). * CONSTANTS[36] is K_D8_RANKL in component RANKL (pM). * RATES[0] is d/dt OB_p in component OB_p (dimensionless). * RATES[1] is d/dt OB_a in component OB_a (dimensionless). * RATES[2] is d/dt OC_a in component OC_a (dimensionless). * RATES[3] is d/dt BV in component BV (dimensionless). */ void initConsts(double* CONSTANTS, double* RATES, double *STATES) { STATES[0] = 1.0; CONSTANTS[0] = 7.000e-4; CONSTANTS[1] = 4.545e-3; CONSTANTS[2] = 1.416e-3; CONSTANTS[3] = 5.348e-0; STATES[1] = 1.0; CONSTANTS[4] = 1.890e-1; STATES[2] = 1.0; CONSTANTS[5] = 2.100e-3; CONSTANTS[6] = 7.000e-1; CONSTANTS[7] = 1.416e-3; CONSTANTS[8] = 1.0; STATES[3] = 100.0; CONSTANTS[9] = 1.0; CONSTANTS[10] = 1.0; CONSTANTS[11] = 1.571e0; CONSTANTS[12] = 1.000e0; CONSTANTS[13] = 1.000e0; CONSTANTS[14] = 1.000e0; CONSTANTS[15] = 0.0; CONSTANTS[16] = 2.500e2; CONSTANTS[17] = 8.600e1; CONSTANTS[18] = 0.0; CONSTANTS[19] = 1.5e2; CONSTANTS[20] = 1.5e2; CONSTANTS[21] = 2.226e-1; CONSTANTS[22] = 2.226e-1; CONSTANTS[23] = 1.464e8; CONSTANTS[24] = 1.464e8; CONSTANTS[25] = 2.000e8; CONSTANTS[26] = 0.0; CONSTANTS[27] = 3.500e-1; CONSTANTS[28] = 3.412e-2; CONSTANTS[29] = 1.000e-3; CONSTANTS[30] = 1.000e1; CONSTANTS[31] = 0.0; CONSTANTS[32] = 3.000e6; CONSTANTS[33] = 3.000e6; CONSTANTS[34] = 1.684e4; CONSTANTS[35] = 1.013e1; CONSTANTS[36] = 1.306e1; CONSTANTS[37] = (CONSTANTS[16]+CONSTANTS[18])/CONSTANTS[17]; CONSTANTS[38] = 1.00000/(1.00000+CONSTANTS[37]/CONSTANTS[21]); CONSTANTS[39] = CONSTANTS[37]/(CONSTANTS[19]+CONSTANTS[37]); CONSTANTS[40] = CONSTANTS[37]/(CONSTANTS[20]+CONSTANTS[37]); CONSTANTS[41] = 1.00000/(1.00000+CONSTANTS[37]/CONSTANTS[22]); CONSTANTS[42] = CONSTANTS[38]; CONSTANTS[43] = CONSTANTS[39]; } void computeRates(double VOI, double* CONSTANTS, double* RATES, double* STATES, double* ALGEBRAIC) { ALGEBRAIC[1] = ( CONSTANTS[13]*CONSTANTS[12]*STATES[2]+CONSTANTS[15])/CONSTANTS[14]; RATES[0] = CONSTANTS[0]*(ALGEBRAIC[1]/(CONSTANTS[1]+ALGEBRAIC[1])) - CONSTANTS[3]*STATES[0]*(1.00000/(1.00000+ALGEBRAIC[1]/CONSTANTS[2])); RATES[1] = CONSTANTS[3]*STATES[0]*(1.00000/(1.00000+ALGEBRAIC[1]/CONSTANTS[2])) - CONSTANTS[4]*STATES[1]; ALGEBRAIC[0] = STATES[2] - CONSTANTS[9]; ALGEBRAIC[2] = STATES[1] - CONSTANTS[10]; RATES[3] = CONSTANTS[11]*ALGEBRAIC[2] - CONSTANTS[12]*ALGEBRAIC[0]; ALGEBRAIC[3] = ( ( CONSTANTS[23]*STATES[0]+ CONSTANTS[24]*STATES[1])*CONSTANTS[42]+CONSTANTS[26])/(( ( CONSTANTS[23]*STATES[0]+ CONSTANTS[24]*STATES[1])*CONSTANTS[42])/CONSTANTS[25]+CONSTANTS[27]); ALGEBRAIC[5] = ( CONSTANTS[32]*STATES[0]+ CONSTANTS[33]*STATES[1])*CONSTANTS[43]; ALGEBRAIC[6] = (ALGEBRAIC[5]/(1.00000+ CONSTANTS[29]*ALGEBRAIC[3]+ CONSTANTS[28]*CONSTANTS[30]))*((CONSTANTS[34]+CONSTANTS[31])/(CONSTANTS[34]+ CONSTANTS[35]*ALGEBRAIC[5])); ALGEBRAIC[7] = ALGEBRAIC[6]/(CONSTANTS[36]+ALGEBRAIC[6]); RATES[2] = CONSTANTS[5]*CONSTANTS[8]*ALGEBRAIC[7] - CONSTANTS[6]*STATES[2]*(ALGEBRAIC[1]/(CONSTANTS[7]+ALGEBRAIC[1])); } void computeVariables(double VOI, double* CONSTANTS, double* RATES, double* STATES, double* ALGEBRAIC) { ALGEBRAIC[1] = ( CONSTANTS[13]*CONSTANTS[12]*STATES[2]+CONSTANTS[15])/CONSTANTS[14]; ALGEBRAIC[0] = STATES[2] - CONSTANTS[9]; ALGEBRAIC[2] = STATES[1] - CONSTANTS[10]; ALGEBRAIC[3] = ( ( CONSTANTS[23]*STATES[0]+ CONSTANTS[24]*STATES[1])*CONSTANTS[42]+CONSTANTS[26])/(( ( CONSTANTS[23]*STATES[0]+ CONSTANTS[24]*STATES[1])*CONSTANTS[42])/CONSTANTS[25]+CONSTANTS[27]); ALGEBRAIC[5] = ( CONSTANTS[32]*STATES[0]+ CONSTANTS[33]*STATES[1])*CONSTANTS[43]; ALGEBRAIC[6] = (ALGEBRAIC[5]/(1.00000+ CONSTANTS[29]*ALGEBRAIC[3]+ CONSTANTS[28]*CONSTANTS[30]))*((CONSTANTS[34]+CONSTANTS[31])/(CONSTANTS[34]+ CONSTANTS[35]*ALGEBRAIC[5])); ALGEBRAIC[7] = ALGEBRAIC[6]/(CONSTANTS[36]+ALGEBRAIC[6]); ALGEBRAIC[4] = ( CONSTANTS[23]*STATES[0]+ CONSTANTS[24]*STATES[1])*CONSTANTS[42]*(1.00000 - ALGEBRAIC[3]/CONSTANTS[25]); ALGEBRAIC[8] = ALGEBRAIC[6]*(1.00000+ CONSTANTS[29]*ALGEBRAIC[3]+ CONSTANTS[28]*CONSTANTS[30]); ALGEBRAIC[9] = CONSTANTS[34]*(1.00000 - ALGEBRAIC[8]/ALGEBRAIC[5]); ALGEBRAIC[10] = - CONSTANTS[35]*ALGEBRAIC[8]; ALGEBRAIC[11] = ALGEBRAIC[9]+CONSTANTS[31]; }