/* There are a total of 13 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 43 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[3] 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). * ALGEBRAIC[1] is D_OC_p in component OC_a (first_order_rate_constant). * CONSTANTS[5] is A_OC_a in component OC_a (first_order_rate_constant). * CONSTANTS[6] is K_D3_TGF_beta in component OC_a (pM). * CONSTANTS[7] is OC_p in component OC_a (dimensionless). * ALGEBRAIC[7] is RANKL in component RANKL (pM). * ALGEBRAIC[8] 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[8] is OC_a_initial in component BV (dimensionless). * CONSTANTS[9] is OB_a_initial in component BV (dimensionless). * CONSTANTS[10] is k_form in component BV (first_order_rate_constant). * CONSTANTS[11] is k_res in component model_parameters (first_order_rate_constant). * CONSTANTS[12] is alpha in component TGF_beta (pM). * CONSTANTS[13] is D_TGF_beta_tilde in component TGF_beta (first_order_rate_constant). * CONSTANTS[14] is S_TGF_beta in component TGF_beta (flux). * CONSTANTS[36] is PTH in component PTH (pM). * CONSTANTS[37] is pi_PTH_rep_OB_p in component PTH (dimensionless). * CONSTANTS[38] is pi_PTH_act_OB_p in component PTH (dimensionless). * CONSTANTS[15] is beta_PTH in component PTH (flux). * CONSTANTS[16] is D_PTH_tilde in component PTH (first_order_rate_constant). * CONSTANTS[17] is P_PTH_d in component PTH (flux). * CONSTANTS[18] is K_D4_PTH in component PTH (pM). * CONSTANTS[19] is K_D5_PTH in component PTH (pM). * CONSTANTS[20] is K_D6_PTH in component PTH (pM). * CONSTANTS[21] is K_D7_PTH in component PTH (pM). * CONSTANTS[39] is pi_PTH_act_OB_a in component PTH (dimensionless). * CONSTANTS[40] is pi_PTH_rep_OB_a in component PTH (dimensionless). * ALGEBRAIC[4] is OPG in component OPG (pM). * CONSTANTS[22] is beta1_OPG in component OPG (flux). * CONSTANTS[23] is beta2_OPG in component OPG (flux). * CONSTANTS[24] is OPG_max in component OPG (pM). * ALGEBRAIC[5] is P_OPG_e in component OPG (flux). * CONSTANTS[25] is P_OPG_d in component OPG (flux). * CONSTANTS[26] is D_OPG_tilde in component OPG (first_order_rate_constant). * CONSTANTS[41] is pi_PTH_rep_OB in component OPG (dimensionless). * CONSTANTS[27] is K_A2_RANKL in component RANKL (per_pM). * CONSTANTS[28] is K_A1_RANKL in component RANKL (per_pM). * CONSTANTS[29] is RANK in component RANKL (pM). * ALGEBRAIC[6] is RANKL_eff in component RANKL (pM). * ALGEBRAIC[9] is RANKL_tot in component RANKL (pM). * ALGEBRAIC[12] is P_RANKL in component RANKL (flux). * ALGEBRAIC[10] is P_RANKL_e in component RANKL (flux). * CONSTANTS[30] is P_RANKL_d in component RANKL (flux). * CONSTANTS[31] is R1_RANKL in component RANKL (pM). * CONSTANTS[32] is R2_RANKL in component RANKL (pM). * CONSTANTS[33] is beta_RANKL in component RANKL (flux). * ALGEBRAIC[11] is D_RANKL in component RANKL (flux). * CONSTANTS[34] is D_RANKL_tilde in component RANKL (first_order_rate_constant). * CONSTANTS[42] is pi_PTH_act_OB in component RANKL (dimensionless). * CONSTANTS[35] 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] = 7.000e-1; CONSTANTS[6] = 1.416e-3; CONSTANTS[7] = 1.0; STATES[3] = 100.0; CONSTANTS[8] = 1.0; CONSTANTS[9] = 1.0; CONSTANTS[10] = 1.571e0; CONSTANTS[11] = 1.000e0; CONSTANTS[12] = 1.000e0; CONSTANTS[13] = 1.000e0; CONSTANTS[14] = 0.0; CONSTANTS[15] = 2.500e2; CONSTANTS[16] = 8.600e1; CONSTANTS[17] = 0.0; CONSTANTS[18] = 1.5e2; CONSTANTS[19] = 1.5e2; CONSTANTS[20] = 2.226e-1; CONSTANTS[21] = 2.226e-1; CONSTANTS[22] = 1.0; CONSTANTS[23] = 0.0; CONSTANTS[24] = 2.000e8; CONSTANTS[25] = 0.0; CONSTANTS[26] = 3.500e-1; CONSTANTS[27] = 3.412e-2; CONSTANTS[28] = 1.000e-3; CONSTANTS[29] = 1.000e1; CONSTANTS[30] = 0.0; CONSTANTS[31] = 0.0; CONSTANTS[32] = 1.0; CONSTANTS[33] = 1.684e4; CONSTANTS[34] = 1.013e1; CONSTANTS[35] = 1.306e1; CONSTANTS[36] = (CONSTANTS[15]+CONSTANTS[17])/CONSTANTS[16]; CONSTANTS[37] = 1.00000/(1.00000+CONSTANTS[36]/CONSTANTS[20]); CONSTANTS[38] = CONSTANTS[36]/(CONSTANTS[18]+CONSTANTS[36]); CONSTANTS[39] = CONSTANTS[36]/(CONSTANTS[19]+CONSTANTS[36]); CONSTANTS[40] = 1.00000/(1.00000+CONSTANTS[36]/CONSTANTS[21]); CONSTANTS[41] = CONSTANTS[37]; CONSTANTS[42] = CONSTANTS[38]; } void computeRates(double VOI, double* CONSTANTS, double* RATES, double* STATES, double* ALGEBRAIC) { ALGEBRAIC[3] = ( CONSTANTS[12]*CONSTANTS[11]*STATES[2]+CONSTANTS[14])/CONSTANTS[13]; RATES[0] = CONSTANTS[0]*(ALGEBRAIC[3]/(CONSTANTS[1]+ALGEBRAIC[3])) - CONSTANTS[3]*STATES[0]*(1.00000/(1.00000+ALGEBRAIC[3]/CONSTANTS[2])); RATES[1] = CONSTANTS[3]*STATES[0]*(1.00000/(1.00000+ALGEBRAIC[3]/CONSTANTS[2])) - CONSTANTS[4]*STATES[1]; ALGEBRAIC[0] = STATES[2] - CONSTANTS[8]; ALGEBRAIC[2] = STATES[1] - CONSTANTS[9]; RATES[3] = CONSTANTS[10]*ALGEBRAIC[2] - CONSTANTS[11]*ALGEBRAIC[0]; ALGEBRAIC[1] = (VOI>0.00000&&VOI<=100.000 ? 0.0210000 : 0.00210000); ALGEBRAIC[4] = ( ( CONSTANTS[22]*STATES[0]+ CONSTANTS[23]*STATES[1])*CONSTANTS[41]+CONSTANTS[25])/(( ( CONSTANTS[22]*STATES[0]+ CONSTANTS[23]*STATES[1])*CONSTANTS[41])/CONSTANTS[24]+CONSTANTS[26]); ALGEBRAIC[6] = ( CONSTANTS[31]*STATES[0]+ CONSTANTS[32]*STATES[1])*CONSTANTS[42]; ALGEBRAIC[7] = (ALGEBRAIC[6]/(1.00000+ CONSTANTS[28]*ALGEBRAIC[4]+ CONSTANTS[27]*CONSTANTS[29]))*((CONSTANTS[33]+CONSTANTS[30])/(CONSTANTS[33]+ CONSTANTS[34]*ALGEBRAIC[6])); ALGEBRAIC[8] = ALGEBRAIC[7]/(CONSTANTS[35]+ALGEBRAIC[7]); RATES[2] = ALGEBRAIC[1]*CONSTANTS[7]*ALGEBRAIC[8] - CONSTANTS[5]*STATES[2]*(ALGEBRAIC[3]/(CONSTANTS[6]+ALGEBRAIC[3])); } void computeVariables(double VOI, double* CONSTANTS, double* RATES, double* STATES, double* ALGEBRAIC) { ALGEBRAIC[3] = ( CONSTANTS[12]*CONSTANTS[11]*STATES[2]+CONSTANTS[14])/CONSTANTS[13]; ALGEBRAIC[0] = STATES[2] - CONSTANTS[8]; ALGEBRAIC[2] = STATES[1] - CONSTANTS[9]; ALGEBRAIC[1] = (VOI>0.00000&&VOI<=100.000 ? 0.0210000 : 0.00210000); ALGEBRAIC[4] = ( ( CONSTANTS[22]*STATES[0]+ CONSTANTS[23]*STATES[1])*CONSTANTS[41]+CONSTANTS[25])/(( ( CONSTANTS[22]*STATES[0]+ CONSTANTS[23]*STATES[1])*CONSTANTS[41])/CONSTANTS[24]+CONSTANTS[26]); ALGEBRAIC[6] = ( CONSTANTS[31]*STATES[0]+ CONSTANTS[32]*STATES[1])*CONSTANTS[42]; ALGEBRAIC[7] = (ALGEBRAIC[6]/(1.00000+ CONSTANTS[28]*ALGEBRAIC[4]+ CONSTANTS[27]*CONSTANTS[29]))*((CONSTANTS[33]+CONSTANTS[30])/(CONSTANTS[33]+ CONSTANTS[34]*ALGEBRAIC[6])); ALGEBRAIC[8] = ALGEBRAIC[7]/(CONSTANTS[35]+ALGEBRAIC[7]); ALGEBRAIC[5] = ( CONSTANTS[22]*STATES[0]+ CONSTANTS[23]*STATES[1])*CONSTANTS[41]*(1.00000 - ALGEBRAIC[4]/CONSTANTS[24]); ALGEBRAIC[9] = ALGEBRAIC[7]*(1.00000+ CONSTANTS[28]*ALGEBRAIC[4]+ CONSTANTS[27]*CONSTANTS[29]); ALGEBRAIC[10] = CONSTANTS[33]*(1.00000 - ALGEBRAIC[9]/ALGEBRAIC[6]); ALGEBRAIC[11] = - CONSTANTS[34]*ALGEBRAIC[9]; ALGEBRAIC[12] = ALGEBRAIC[10]+CONSTANTS[30]; }