/* There are a total of 34 entries in the algebraic variable array. There are a total of 16 entries in each of the rate and state variable arrays. There are a total of 47 entries in the constant variable array. */ /* * VOI is time in component environment (minute). * ALGEBRAIC[0] is v1 in component v1 (flux). * CONSTANTS[0] is Vmax in component v1 (flux). * CONSTANTS[1] is Km in component v1 (umol_per_g). * STATES[0] is GL in component GL (umol_per_g). * ALGEBRAIC[1] is v2 in component v2 (flux). * CONSTANTS[2] is Vmax in component v2 (flux). * CONSTANTS[3] is Km in component v2 (umol_per_g). * STATES[1] is O2 in component O2 (umol_per_g). * ALGEBRAIC[21] is v3 in component v3 (flux). * CONSTANTS[4] is Vmax in component v3 (first_order_rate_constant). * ALGEBRAIC[8] is k3 in component v3 (first_order_rate_constant). * STATES[2] is FA in component FA (umol_per_g). * ALGEBRAIC[5] is PS in component PS (dimensionless). * CONSTANTS[5] is PS0 in component PS0 (dimensionless). * ALGEBRAIC[22] is v4 in component v4 (flux). * CONSTANTS[6] is Vmax in component v4 (first_order_rate_constant). * ALGEBRAIC[9] is k4 in component v4 (first_order_rate_constant). * CONSTANTS[7] is epsilon in component v4 (dimensionless). * ALGEBRAIC[4] is RS in component RS (dimensionless). * CONSTANTS[8] is RS0 in component RS0 (dimensionless). * ALGEBRAIC[6] is AF in component AF (dimensionless). * CONSTANTS[9] is AF0 in component AF0 (dimensionless). * ALGEBRAIC[23] is v5 in component v5 (flux). * CONSTANTS[10] is Vmax in component v5 (first_order_rate_constant). * ALGEBRAIC[10] is k5 in component v5 (first_order_rate_constant). * CONSTANTS[11] is epsilon in component v5 (dimensionless). * STATES[3] is GP in component GP (umol_per_g). * ALGEBRAIC[24] is v6 in component v6 (flux). * CONSTANTS[12] is Vmax in component v6 (first_order_rate_constant). * ALGEBRAIC[11] is k6 in component v6 (first_order_rate_constant). * CONSTANTS[13] is epsilon in component v6 (dimensionless). * ALGEBRAIC[3] is CS in component CS (dimensionless). * CONSTANTS[14] is CS0 in component CS0 (dimensionless). * ALGEBRAIC[25] is v7 in component v7 (flux). * CONSTANTS[15] is Vmax in component v7 (first_order_rate_constant). * ALGEBRAIC[12] is k7 in component v7 (first_order_rate_constant). * CONSTANTS[16] is epsilon in component v7 (dimensionless). * STATES[4] is GY in component GY (umol_per_g). * ALGEBRAIC[2] is v8 in component v8 (flux). * CONSTANTS[17] is Vmax in component v8 (first_order_rate_constant). * CONSTANTS[45] is k8 in component v8 (first_order_rate_constant). * STATES[5] is TG in component TG (umol_per_g). * ALGEBRAIC[26] is v9 in component v9 (flux). * CONSTANTS[18] is Vmax in component v9 (first_order_rate_constant). * ALGEBRAIC[13] is k9 in component v9 (first_order_rate_constant). * STATES[6] is PY in component PY (umol_per_g). * ALGEBRAIC[27] is v10 in component v10 (flux). * CONSTANTS[19] is Vmax in component v10 (first_order_rate_constant). * ALGEBRAIC[14] is k10 in component v10 (first_order_rate_constant). * CONSTANTS[20] is epsilon in component v10 (dimensionless). * ALGEBRAIC[28] is v11 in component v11 (flux). * CONSTANTS[21] is Vmax in component v11 (first_order_rate_constant). * ALGEBRAIC[15] is k11 in component v11 (first_order_rate_constant). * STATES[7] is LA in component LA (umol_per_g). * ALGEBRAIC[29] is v12 in component v12 (flux). * CONSTANTS[22] is Vmax in component v12 (first_order_rate_constant). * ALGEBRAIC[16] is k12 in component v12 (first_order_rate_constant). * CONSTANTS[23] is epsilon in component v12 (dimensionless). * STATES[8] is AC in component AC (umol_per_g). * ALGEBRAIC[30] is v13 in component v13 (flux). * CONSTANTS[24] is Vmax in component v13 (first_order_rate_constant). * ALGEBRAIC[17] is k13 in component v13 (first_order_rate_constant). * STATES[9] is CR in component CR (umol_per_g). * ALGEBRAIC[31] is v14 in component v14 (flux). * CONSTANTS[25] is Vmax in component v14 (first_order_rate_constant). * ALGEBRAIC[18] is k14 in component v14 (first_order_rate_constant). * STATES[10] is PC in component PC (umol_per_g). * ALGEBRAIC[32] is v15 in component v15 (flux). * CONSTANTS[26] is Vmax in component v15 (first_order_rate_constant). * ALGEBRAIC[19] is k15 in component v15 (first_order_rate_constant). * CONSTANTS[27] is epsilon in component v15 (dimensionless). * STATES[11] is CoA_pool in component CoA_pool (umol_per_g). * STATES[12] is FC in component FC (umol_per_g). * CONSTANTS[28] is FC0 in component FC0 (umol_per_g). * ALGEBRAIC[33] is v16 in component v16 (flux). * CONSTANTS[29] is Vmax in component v16 (first_order_rate_constant). * ALGEBRAIC[20] is k16 in component v16 (first_order_rate_constant). * CONSTANTS[30] is epsilon in component v16 (dimensionless). * CONSTANTS[46] is v17 in component v17 (flux). * CONSTANTS[31] is Vmax in component v17 (first_order_rate_constant). * CONSTANTS[44] is k17 in component v17 (first_order_rate_constant). * CONSTANTS[32] is ATP in component ATP (umol_per_g). * CONSTANTS[33] is aGL in component GL (umol_per_ml). * CONSTANTS[34] is sigmaGL in component GL (g_per_ml). * ALGEBRAIC[7] is F in component model_parameters (ml_per_g_min). * CONSTANTS[35] is aFA in component FA (umol_per_ml). * CONSTANTS[36] is sigmaFA in component FA (g_per_ml). * CONSTANTS[37] is aLA in component LA (umol_per_ml). * CONSTANTS[38] is sigmaLA in component LA (g_per_ml). * CONSTANTS[39] is aO2 in component O2 (umol_per_ml). * CONSTANTS[40] is sigmaO2 in component O2 (g_per_ml). * STATES[13] is CO2 in component CO2 (umol_per_g). * CONSTANTS[41] is aCO2 in component CO2 (umol_per_ml). * CONSTANTS[42] is sigmaCO2 in component CO2 (g_per_ml). * STATES[14] is NAD in component NAD (umol_per_g). * STATES[15] is ADP in component ADP (umol_per_g). * CONSTANTS[43] is NADH in component NADH (umol_per_g). * RATES[0] is d/dt GL in component GL (umol_per_g). * RATES[2] is d/dt FA in component FA (umol_per_g). * RATES[3] is d/dt GP in component GP (umol_per_g). * RATES[4] is d/dt GY in component GY (umol_per_g). * RATES[5] is d/dt TG in component TG (umol_per_g). * RATES[6] is d/dt PY in component PY (umol_per_g). * RATES[7] is d/dt LA in component LA (umol_per_g). * RATES[8] is d/dt AC in component AC (umol_per_g). * RATES[12] is d/dt FC in component FC (umol_per_g). * RATES[11] is d/dt CoA_pool in component CoA_pool (umol_per_g). * RATES[1] is d/dt O2 in component O2 (umol_per_g). * RATES[13] is d/dt CO2 in component CO2 (umol_per_g). * RATES[14] is d/dt NAD in component NAD (umol_per_g). * RATES[15] is d/dt ADP in component ADP (umol_per_g). * RATES[10] is d/dt PC in component PC (umol_per_g). * RATES[9] is d/dt CR in component CR (umol_per_g). * There are a total of 2 condition variables. */ void initConsts(double* CONSTANTS, double* RATES, double *STATES) { CONSTANTS[0] = 5.90; CONSTANTS[1] = 0.05; STATES[0] = 0.998; CONSTANTS[2] = 67.6; CONSTANTS[3] = 0.01; STATES[1] = 0.963; CONSTANTS[4] = 4.90; STATES[2] = 0.021; CONSTANTS[5] = 0.2; CONSTANTS[6] = 21.3; CONSTANTS[7] = 0.6; CONSTANTS[8] = 0.111; CONSTANTS[9] = 0.523; CONSTANTS[10] = 2.82; CONSTANTS[11] = 0.254; STATES[3] = 0.171; CONSTANTS[12] = 3.14; CONSTANTS[13] = 0.5; CONSTANTS[14] = 1.0; CONSTANTS[15] = 0.0162; CONSTANTS[16] = 0.5; STATES[4] = 33.0; CONSTANTS[17] = 0.005; STATES[5] = 3.96; CONSTANTS[18] = 1.8; STATES[6] = 0.20; CONSTANTS[19] = 12.6; CONSTANTS[20] = 0.98; CONSTANTS[21] = 0.96; STATES[7] = 1.98; CONSTANTS[22] = 695.7; CONSTANTS[23] = 0.75; STATES[8] = 0.0046; CONSTANTS[24] = 0.455; STATES[9] = 3.5; CONSTANTS[25] = 0.455; STATES[10] = 8.80; CONSTANTS[26] = 626.1; CONSTANTS[27] = 0.669; STATES[11] = 0.043; STATES[12] = 0.0088; CONSTANTS[28] = 0.0088; CONSTANTS[29] = 67.0; CONSTANTS[30] = 0.775; CONSTANTS[31] = 7.76; CONSTANTS[32] = 4.5; CONSTANTS[33] = 4.0; CONSTANTS[34] = 3.76; CONSTANTS[35] = 0.5; CONSTANTS[36] = 13.2; CONSTANTS[37] = 1.8; CONSTANTS[38] = 0.51; CONSTANTS[39] = 6.53; CONSTANTS[40] = 1.0; STATES[13] = 20.0; CONSTANTS[41] = 15.5; CONSTANTS[42] = 1.0; STATES[14] = 1.81; STATES[15] = 0.90; CONSTANTS[43] = 0.19; CONSTANTS[44] = CONSTANTS[31]; CONSTANTS[45] = CONSTANTS[17]; CONSTANTS[46] = CONSTANTS[44]*CONSTANTS[32]; RATES[0] = 0.1001; RATES[2] = 0.1001; RATES[3] = 0.1001; RATES[4] = 0.1001; RATES[5] = 0.1001; RATES[6] = 0.1001; RATES[7] = 0.1001; RATES[8] = 0.1001; RATES[12] = 0.1001; RATES[11] = 0.1001; RATES[1] = 0.1001; RATES[13] = 0.1001; RATES[14] = 0.1001; RATES[15] = 0.1001; RATES[10] = 0.1001; RATES[9] = 0.1001; } void computeResiduals(double VOI, double* CONSTANTS, double* RATES, double* OLDRATES, double* STATES, double* OLDSTATES, double* ALGEBRAIC, double* CONDVARS) { resid[0] = RATES[0] - ALGEBRAIC[7]*(CONSTANTS[33] - CONSTANTS[34]*STATES[0]) - ALGEBRAIC[0]; resid[1] = RATES[2] - ( 3.00000*ALGEBRAIC[2]+ ALGEBRAIC[7]*(CONSTANTS[35] - CONSTANTS[36]*STATES[2])) - (ALGEBRAIC[21]+ALGEBRAIC[22]); resid[2] = RATES[3] - (ALGEBRAIC[0]+ALGEBRAIC[25]) - (ALGEBRAIC[23]+ALGEBRAIC[24]); resid[3] = RATES[4] - ALGEBRAIC[24] - ALGEBRAIC[25]; resid[4] = RATES[5] - (1.00000/3.00000)*ALGEBRAIC[21] - ALGEBRAIC[2]; resid[5] = RATES[6] - ( 2.00000*ALGEBRAIC[23]+ALGEBRAIC[28]) - (ALGEBRAIC[26]+ALGEBRAIC[27]); resid[6] = RATES[7] - (ALGEBRAIC[26]+ ALGEBRAIC[7]*(CONSTANTS[37] - CONSTANTS[38]*STATES[7])) - ALGEBRAIC[28]; resid[7] = RATES[8] - (ALGEBRAIC[27]+ALGEBRAIC[22]) - (ALGEBRAIC[29]+ALGEBRAIC[33]); resid[8] = RATES[12] - (ALGEBRAIC[29]+ALGEBRAIC[32]+ALGEBRAIC[33]) - (ALGEBRAIC[27]+ALGEBRAIC[22]); resid[9] = RATES[11] - ALGEBRAIC[33] - ALGEBRAIC[32]; resid[10] = RATES[1] - ALGEBRAIC[7]*(CONSTANTS[39] - CONSTANTS[40]*STATES[1]) - ALGEBRAIC[1]; resid[11] = RATES[13] - ALGEBRAIC[27]+ 2.00000*ALGEBRAIC[29]+ ALGEBRAIC[7]*(CONSTANTS[41] - CONSTANTS[42]*STATES[13]); resid[12] = RATES[14] - (ALGEBRAIC[26]+ 2.00000*ALGEBRAIC[1]) - ( 2.00000*ALGEBRAIC[23]+ALGEBRAIC[27]+ALGEBRAIC[28]+ (11.0000/3.00000)*ALGEBRAIC[29]+ (35.0000/3.00000)*ALGEBRAIC[22]); resid[13] = RATES[15] - (ALGEBRAIC[0]+ALGEBRAIC[24]+ 2.00000*ALGEBRAIC[22]+ 2.00000*ALGEBRAIC[21]+ALGEBRAIC[30]+CONSTANTS[46]) - ( 3.00000*ALGEBRAIC[23]+ALGEBRAIC[29]+ 6.00000*ALGEBRAIC[1]+ALGEBRAIC[31]); resid[14] = RATES[10] - ALGEBRAIC[30] - ALGEBRAIC[31]; resid[15] = RATES[9] - ALGEBRAIC[31] - ALGEBRAIC[30]; } void computeVariables(double VOI, double* CONSTANTS, double* RATES, double* STATES, double* ALGEBRAIC) { } void computeEssentialVariables(double VOI, double* CONSTANTS, double* RATES, double* STATES, double* ALGEBRAIC) { ALGEBRAIC[0] = CONSTANTS[0]*(STATES[0]/(CONSTANTS[1]+STATES[0])); ALGEBRAIC[1] = CONSTANTS[2]*(STATES[1]/(CONSTANTS[3]+STATES[1])); ALGEBRAIC[2] = CONSTANTS[45]*STATES[5]; ALGEBRAIC[7] = (CONDVAR[0]>0.00000&&CONDVAR[1]<0.00000 ? 1.00000 : 0.400000); ALGEBRAIC[5] = STATES[15]/CONSTANTS[32]; ALGEBRAIC[8] = CONSTANTS[4]*(pow(ALGEBRAIC[5], -1.00000)/(pow(CONSTANTS[5], -1.00000)+pow(ALGEBRAIC[5], -1.00000))); ALGEBRAIC[21] = ALGEBRAIC[8]*STATES[2]; ALGEBRAIC[4] = CONSTANTS[43]/STATES[14]; ALGEBRAIC[6] = STATES[8]/STATES[12]; ALGEBRAIC[9] = CONSTANTS[6]*( CONSTANTS[7]*(pow(ALGEBRAIC[6], -1.00000)/(pow(CONSTANTS[9], -1.00000)+pow(ALGEBRAIC[6], -1.00000)))+ (1.00000 - CONSTANTS[7])*(pow(ALGEBRAIC[4], -1.00000)/(pow(CONSTANTS[8], -1.00000)+pow(ALGEBRAIC[4], -1.00000)))); ALGEBRAIC[22] = ALGEBRAIC[9]*STATES[2]; ALGEBRAIC[10] = CONSTANTS[10]*( CONSTANTS[11]*(ALGEBRAIC[5]/(CONSTANTS[5]+ALGEBRAIC[5]))+ (1.00000 - CONSTANTS[11])*(pow(ALGEBRAIC[4], -1.00000)/(pow(CONSTANTS[8], -1.00000)+pow(ALGEBRAIC[4], -1.00000)))); ALGEBRAIC[23] = ALGEBRAIC[10]*STATES[3]; ALGEBRAIC[3] = STATES[9]/STATES[10]; ALGEBRAIC[11] = CONSTANTS[12]*( CONSTANTS[13]*(pow(ALGEBRAIC[5], -1.00000)/(pow(CONSTANTS[5], -1.00000)+pow(ALGEBRAIC[5], -1.00000)))+ (1.00000 - CONSTANTS[13])*pow(pow(ALGEBRAIC[3], -1.00000)/(pow(CONSTANTS[14], -1.00000)+pow(ALGEBRAIC[3], -1.00000)), 2.00000)); ALGEBRAIC[24] = ALGEBRAIC[11]*STATES[3]; ALGEBRAIC[12] = CONSTANTS[15]*( CONSTANTS[16]*(ALGEBRAIC[5]/(CONSTANTS[5]+ALGEBRAIC[5]))+ (1.00000 - CONSTANTS[16])*pow(ALGEBRAIC[3]/(CONSTANTS[14]+ALGEBRAIC[3]), 2.00000)); ALGEBRAIC[25] = ALGEBRAIC[12]*STATES[4]; ALGEBRAIC[13] = CONSTANTS[18]*(ALGEBRAIC[4]/(CONSTANTS[8]+ALGEBRAIC[4])); ALGEBRAIC[26] = ALGEBRAIC[13]*STATES[6]; ALGEBRAIC[14] = CONSTANTS[19]*( CONSTANTS[20]*(pow(ALGEBRAIC[4], -1.00000)/(pow(CONSTANTS[8], -1.00000)+pow(ALGEBRAIC[4], -1.00000)))+ (1.00000 - CONSTANTS[20])*(pow(ALGEBRAIC[6], -1.00000)/(pow(CONSTANTS[9], -1.00000)+pow(ALGEBRAIC[6], -1.00000)))); ALGEBRAIC[27] = ALGEBRAIC[14]*STATES[6]; ALGEBRAIC[15] = CONSTANTS[21]*(pow(ALGEBRAIC[4], -1.00000)/(pow(CONSTANTS[8], -1.00000)+pow(ALGEBRAIC[4], -1.00000))); ALGEBRAIC[28] = ALGEBRAIC[15]*STATES[7]; ALGEBRAIC[16] = CONSTANTS[22]*( CONSTANTS[23]*(pow(ALGEBRAIC[4], -1.00000)/(pow(CONSTANTS[8], -1.00000)+pow(ALGEBRAIC[4], -1.00000)))+ (1.00000 - CONSTANTS[23])*(ALGEBRAIC[5]/(CONSTANTS[5]+ALGEBRAIC[5]))); ALGEBRAIC[29] = ALGEBRAIC[16]*STATES[8]; ALGEBRAIC[17] = CONSTANTS[24]*(pow(ALGEBRAIC[5], -1.00000)/(pow(CONSTANTS[5], -1.00000)+pow(ALGEBRAIC[5], -1.00000))); ALGEBRAIC[30] = ALGEBRAIC[17]*STATES[9]; ALGEBRAIC[18] = CONSTANTS[25]*(ALGEBRAIC[5]/(CONSTANTS[5]+ALGEBRAIC[5])); ALGEBRAIC[31] = ALGEBRAIC[18]*STATES[10]; ALGEBRAIC[19] = CONSTANTS[26]*( CONSTANTS[27]*(pow(ALGEBRAIC[4], -1.00000)/(pow(CONSTANTS[8], -1.00000)+pow(ALGEBRAIC[4], -1.00000)))+ (1.00000 - CONSTANTS[27])*(pow(STATES[12], -1.00000)/(pow(CONSTANTS[28], -1.00000)+pow(STATES[12], -1.00000)))); ALGEBRAIC[32] = ALGEBRAIC[19]*STATES[11]; ALGEBRAIC[20] = CONSTANTS[29]*( CONSTANTS[30]*(pow(ALGEBRAIC[4], -1.00000)/(pow(CONSTANTS[8], -1.00000)+pow(ALGEBRAIC[4], -1.00000)))+ (1.00000 - CONSTANTS[30])*(pow(STATES[12], -1.00000)/(pow(CONSTANTS[28], -1.00000)+pow(STATES[12], -1.00000)))); ALGEBRAIC[33] = ALGEBRAIC[20]*STATES[8]; } void getStateInformation(double* SI) { SI[0] = 1.0; SI[1] = 1.0; SI[2] = 1.0; SI[3] = 1.0; SI[4] = 1.0; SI[5] = 1.0; SI[6] = 1.0; SI[7] = 1.0; SI[8] = 1.0; SI[9] = 1.0; SI[10] = 1.0; SI[11] = 1.0; SI[12] = 1.0; SI[13] = 1.0; SI[14] = 1.0; SI[15] = 1.0; } void computeRoots(double VOI, double* CONSTANTS, double* RATES, double* OLDRATES, double* STATES, double* OLDSTATES, double* ALGEBRAIC, double* CONDVARS) { CONDVAR[0] = VOI - 0.00000; CONDVAR[1] = VOI - 5.00000; }