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A Computer Model for the Action Potential of Mouse Ventricular Myocytes

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  • The required array sizes are:
    • VARIABLES[113]
    • CONSTANTS[71]
    • BOUND[1]
    • RATES[41]
  • The following variables are defined:
    • Variable i_Na(VARIABLES[41]; recomputed after rate changes)
    • Variable E_Na(VARIABLES[42]; recomputed after rate changes)
    • Variable g_Na(CONSTANTS[0])
    • Variable O_Na(RATES[0] and VARIABLES[0])
    • Variable C_Na1(RATES[1] and VARIABLES[1])
    • Variable C_Na2(RATES[2] and VARIABLES[2])
    • Variable C_Na3(VARIABLES[43]; recomputed after rate changes)
    • Variable I1_Na(RATES[3] and VARIABLES[3])
    • Variable I2_Na(RATES[4] and VARIABLES[4])
    • Variable IF_Na(RATES[5] and VARIABLES[5])
    • Variable IC_Na2(RATES[6] and VARIABLES[6])
    • Variable IC_Na3(RATES[7] and VARIABLES[7])
    • Variable alpha_Na11(VARIABLES[44]; recomputed after rate changes)
    • Variable beta_Na11(VARIABLES[45]; recomputed after rate changes)
    • Variable alpha_Na12(VARIABLES[46]; recomputed after rate changes)
    • Variable beta_Na12(VARIABLES[47]; recomputed after rate changes)
    • Variable alpha_Na13(VARIABLES[48]; recomputed after rate changes)
    • Variable beta_Na13(VARIABLES[49]; recomputed after rate changes)
    • Variable alpha_Na3(VARIABLES[50]; recomputed after rate changes)
    • Variable beta_Na3(VARIABLES[51]; recomputed after rate changes)
    • Variable alpha_Na2(VARIABLES[52]; recomputed after rate changes)
    • Variable k_minus_c(CONSTANTS[1])
    • Variable m(CONSTANTS[2])
    • Variable n(CONSTANTS[3])
    • Variable i_CaL(VARIABLES[53]; recomputed after rate changes)
    • Variable i_CaL_max(CONSTANTS[4])
    • Variable E_CaL(CONSTANTS[5])
    • Variable g_CaL(CONSTANTS[6])
    • Variable O(RATES[8] and VARIABLES[8])
    • Variable C1(VARIABLES[54]; recomputed after rate changes)
    • Variable C2(RATES[9] and VARIABLES[9])
    • Variable C3(RATES[10] and VARIABLES[10])
    • Variable C4(RATES[11] and VARIABLES[11])
    • Variable I1(RATES[12] and VARIABLES[12])
    • Variable I2(RATES[13] and VARIABLES[13])
    • Variable I3(RATES[14] and VARIABLES[14])
    • Variable alpha(VARIABLES[55]; recomputed after rate changes)
    • Variable beta(VARIABLES[56]; recomputed after rate changes)
    • Variable gamma(VARIABLES[57]; recomputed after rate changes)
    • Variable Kpcf(VARIABLES[58]; recomputed after rate changes)
    • Variable Kpcb(CONSTANTS[7])
    • Variable Kpc_max(CONSTANTS[8])
    • Variable Kpc_half(CONSTANTS[9])
    • Variable i_Ks(VARIABLES[59]; recomputed after rate changes)
    • Variable g_Ks(CONSTANTS[10])
    • Variable nKs(RATES[15] and VARIABLES[15])
    • Variable alpha_n(VARIABLES[60]; recomputed after rate changes)
    • Variable beta_n(VARIABLES[61]; recomputed after rate changes)
    • Variable i_Kur(VARIABLES[62]; recomputed after rate changes)
    • Variable g_Kur(CONSTANTS[11])
    • Variable aur(RATES[16] and VARIABLES[16])
    • Variable iur(RATES[17] and VARIABLES[17])
    • Variable tau_aur(VARIABLES[63]; recomputed after rate changes)
    • Variable tau_iur(VARIABLES[64]; recomputed after rate changes)
    • Variable i_Kss(VARIABLES[65]; recomputed after rate changes)
    • Variable g_Kss(CONSTANTS[12])
    • Variable aKss(RATES[18] and VARIABLES[18])
    • Variable iKss(RATES[19] and VARIABLES[19])
    • Variable tau_Kss(VARIABLES[66]; recomputed after rate changes)
    • Variable beta_Na2(VARIABLES[67]; recomputed after rate changes)
    • Variable alpha_Na4(VARIABLES[68]; recomputed after rate changes)
    • Variable beta_Na4(VARIABLES[69]; recomputed after rate changes)
    • Variable alpha_Na5(VARIABLES[70]; recomputed after rate changes)
    • Variable beta_Na5(VARIABLES[71]; recomputed after rate changes)
    • Variable i_Nab(VARIABLES[72]; recomputed after rate changes)
    • Variable g_Nab(CONSTANTS[13])
    • Variable Ki(RATES[20] and VARIABLES[20])
    • Variable Cai(RATES[21] and VARIABLES[21])
    • Variable Cass(RATES[22] and VARIABLES[22])
    • Variable CaJSR(RATES[23] and VARIABLES[23])
    • Variable CaNSR(RATES[24] and VARIABLES[24])
    • Variable Bi(VARIABLES[73]; recomputed after rate changes)
    • Variable Bss(VARIABLES[74]; recomputed after rate changes)
    • Variable BJSR(VARIABLES[75]; recomputed after rate changes)
    • Variable CMDN_tot(CONSTANTS[14])
    • Variable CSQN_tot(CONSTANTS[15])
    • Variable Km_CMDN(CONSTANTS[16])
    • Variable Km_CSQN(CONSTANTS[17])
    • Variable J_leak(VARIABLES[76]; recomputed after rate changes)
    • Variable J_rel(VARIABLES[77]; recomputed after rate changes)
    • Variable J_up(VARIABLES[78]; recomputed after rate changes)
    • Variable J_tr(VARIABLES[79]; recomputed after rate changes)
    • Variable J_trpn(VARIABLES[80]; recomputed after rate changes)
    • Variable J_xfer(VARIABLES[81]; recomputed after rate changes)
    • Variable time(BOUND[0])
    • Variable V(RATES[25] and VARIABLES[25])
    • Variable Cm(CONSTANTS[18])
    • Variable Vmyo(CONSTANTS[19])
    • Variable VJSR(CONSTANTS[20])
    • Variable VNSR(CONSTANTS[21])
    • Variable Vss(CONSTANTS[22])
    • Variable Acap(CONSTANTS[23])
    • Variable Ko(CONSTANTS[24])
    • Variable Nao(CONSTANTS[25])
    • Variable Cao(CONSTANTS[26])
    • Variable R(CONSTANTS[27])
    • Variable T(CONSTANTS[28])
    • Variable F(CONSTANTS[29])
    • Variable i_Kr(VARIABLES[82]; recomputed after rate changes)
    • Variable g_Kr(CONSTANTS[30])
    • Variable O_K(RATES[26] and VARIABLES[26])
    • Variable C_K1(RATES[27] and VARIABLES[27])
    • Variable C_K2(RATES[28] and VARIABLES[28])
    • Variable C_K0(VARIABLES[83]; recomputed after rate changes)
    • Variable I_K(RATES[29] and VARIABLES[29])
    • Variable alpha_a0(VARIABLES[84]; recomputed after rate changes)
    • Variable beta_a0(VARIABLES[85]; recomputed after rate changes)
    • Variable kb(CONSTANTS[31])
    • Variable kf(CONSTANTS[32])
    • Variable alpha_a1(VARIABLES[86]; recomputed after rate changes)
    • Variable beta_a1(VARIABLES[87]; recomputed after rate changes)
    • Variable alpha_i(VARIABLES[88]; recomputed after rate changes)
    • Variable beta_i(VARIABLES[89]; recomputed after rate changes)
    • Variable i_NaK(VARIABLES[90]; recomputed after rate changes)
    • Variable i_NaK_max(CONSTANTS[33])
    • Variable Km_Nai(CONSTANTS[34])
    • Variable Km_Ko(CONSTANTS[35])
    • Variable f_NaK(VARIABLES[91]; recomputed after rate changes)
    • Variable sigma(VARIABLES[92]; computed once)
    • Variable i_Kto_f(VARIABLES[93]; recomputed after rate changes)
    • Variable E_K(VARIABLES[94]; recomputed after rate changes)
    • Variable g_Kto_f(CONSTANTS[36])
    • Variable ato_f(RATES[30] and VARIABLES[30])
    • Variable ito_f(RATES[31] and VARIABLES[31])
    • Variable alpha_a(VARIABLES[95]; recomputed after rate changes)
    • Variable beta_a(VARIABLES[96]; recomputed after rate changes)
    • Variable alpha_i(VARIABLES[97]; recomputed after rate changes)
    • Variable beta_i(VARIABLES[98]; recomputed after rate changes)
    • Variable i_Kto_s(VARIABLES[99]; recomputed after rate changes)
    • Variable ass(VARIABLES[100]; recomputed after rate changes)
    • Variable iss(VARIABLES[101]; recomputed after rate changes)
    • Variable g_Kto_s(CONSTANTS[37])
    • Variable ato_s(RATES[32] and VARIABLES[32])
    • Variable ito_s(RATES[33] and VARIABLES[33])
    • Variable tau_ta_s(VARIABLES[102]; recomputed after rate changes)
    • Variable tau_ti_s(VARIABLES[103]; recomputed after rate changes)
    • Variable i_K1(VARIABLES[104]; recomputed after rate changes)
    • Variable i_ClCa(VARIABLES[105]; recomputed after rate changes)
    • Variable g_ClCa(CONSTANTS[38])
    • Variable O_ClCa(VARIABLES[106]; recomputed after rate changes)
    • Variable E_Cl(CONSTANTS[39])
    • Variable Km_Cl(CONSTANTS[40])
    • Variable Istim(VARIABLES[107]; recomputed after rate changes)
    • Variable IstimStart(CONSTANTS[41])
    • Variable IstimEnd(CONSTANTS[42])
    • Variable IstimAmplitude(CONSTANTS[43])
    • Variable IstimPeriod(CONSTANTS[44])
    • Variable IstimPulseDuration(CONSTANTS[45])
    • Variable LTRPN_tot(CONSTANTS[46])
    • Variable HTRPN_tot(CONSTANTS[47])
    • Variable LTRPN_Ca(RATES[34] and VARIABLES[34])
    • Variable HTRPN_Ca(RATES[35] and VARIABLES[35])
    • Variable P_O1(RATES[36] and VARIABLES[36])
    • Variable P_O2(RATES[37] and VARIABLES[37])
    • Variable P_C1(VARIABLES[108]; recomputed after rate changes)
    • Variable P_C2(RATES[38] and VARIABLES[38])
    • Variable k_plus_a(CONSTANTS[48])
    • Variable k_minus_a(CONSTANTS[49])
    • Variable k_plus_b(CONSTANTS[50])
    • Variable k_minus_b(CONSTANTS[51])
    • Variable k_plus_c(CONSTANTS[52])
    • Variable i_pCa(VARIABLES[109]; recomputed after rate changes)
    • Variable i_pCa_max(CONSTANTS[53])
    • Variable Km_pCa(CONSTANTS[54])
    • Variable i_NaCa(VARIABLES[110]; recomputed after rate changes)
    • Variable k_NaCa(CONSTANTS[55])
    • Variable K_mNa(CONSTANTS[56])
    • Variable K_mCa(CONSTANTS[57])
    • Variable k_sat(CONSTANTS[58])
    • Variable eta(CONSTANTS[59])
    • Variable i_Cab(VARIABLES[111]; recomputed after rate changes)
    • Variable g_Cab(CONSTANTS[60])
    • Variable E_CaN(VARIABLES[112]; recomputed after rate changes)
    • Variable Nai(RATES[39] and VARIABLES[39])
    • Variable k_plus_htrpn(CONSTANTS[61])
    • Variable k_minus_htrpn(CONSTANTS[62])
    • Variable k_plus_ltrpn(CONSTANTS[63])
    • Variable k_minus_ltrpn(CONSTANTS[64])
    • Variable P_RyR(RATES[40] and VARIABLES[40])
    • Variable v1(CONSTANTS[65])
    • Variable tau_tr(CONSTANTS[66])
    • Variable v2(CONSTANTS[67])
    • Variable tau_xfer(CONSTANTS[68])
    • Variable v3(CONSTANTS[69])
    • Variable Km_up(CONSTANTS[70])
  • No equation needed for Newton-Raphson evaluation.
void SetupFixedConstants(double* CONSTANTS)
{
CONSTANTS[0] = 13;
CONSTANTS[1] = 0.0008;
CONSTANTS[2] = 3;
CONSTANTS[3] = 4;
CONSTANTS[4] = 7;
CONSTANTS[5] = 63;
CONSTANTS[6] = 0.1729;
CONSTANTS[7] = 0.0005;
CONSTANTS[8] = 0.23324;
CONSTANTS[9] = 20;
CONSTANTS[10] = 0.00575;
CONSTANTS[11] = 0.16;
CONSTANTS[12] = 0.05;
CONSTANTS[13] = 0.0026;
CONSTANTS[14] = 50;
CONSTANTS[15] = 15000;
CONSTANTS[16] = 0.238;
CONSTANTS[17] = 800;
CONSTANTS[18] = 1;
CONSTANTS[19] = 2.584e-05;
CONSTANTS[20] = 1.2e-07;
CONSTANTS[21] = 2.098e-06;
CONSTANTS[22] = 1.485e-09;
CONSTANTS[23] = 0.0001534;
CONSTANTS[24] = 5400;
CONSTANTS[25] = 140000;
CONSTANTS[26] = 1800;
CONSTANTS[27] = 8.314;
CONSTANTS[28] = 298;
CONSTANTS[29] = 96.5;
CONSTANTS[30] = 0.078;
CONSTANTS[31] = 0.036778;
CONSTANTS[32] = 0.023761;
CONSTANTS[33] = 0.88;
CONSTANTS[34] = 21000;
CONSTANTS[35] = 1500;
CONSTANTS[36] = 0.4067;
CONSTANTS[37] = 0;
CONSTANTS[38] = 10;
CONSTANTS[39] = -40;
CONSTANTS[40] = 10;
CONSTANTS[41] = 10;
CONSTANTS[42] = 50000;
CONSTANTS[43] = -80;
CONSTANTS[44] = 200;
CONSTANTS[45] = 0.5;
CONSTANTS[46] = 70;
CONSTANTS[47] = 140;
CONSTANTS[48] = 0.006075;
CONSTANTS[49] = 0.07125;
CONSTANTS[50] = 0.00405;
CONSTANTS[51] = 0.965;
CONSTANTS[52] = 0.009;
CONSTANTS[53] = 1;
CONSTANTS[54] = 0.5;
CONSTANTS[55] = 292.8;
CONSTANTS[56] = 87500;
CONSTANTS[57] = 1380;
CONSTANTS[58] = 0.1;
CONSTANTS[59] = 0.35;
CONSTANTS[60] = 0.000367;
CONSTANTS[61] = 0.00237;
CONSTANTS[62] = 3.2e-05;
CONSTANTS[63] = 0.0327;
CONSTANTS[64] = 0.0196;
CONSTANTS[65] = 4.5;
CONSTANTS[66] = 20;
CONSTANTS[67] = 1.74e-05;
CONSTANTS[68] = 8;
CONSTANTS[69] = 0.45;
CONSTANTS[70] = 0.5;
}

void SetupComputedConstants(double* CONSTANTS, double* VARIABLES)
{
VARIABLES[92] = ((1.00000/7.00000)*(exp((CONSTANTS[25]/67300.0))-1.00000));
VARIABLES[0] = 7.13483e-07;
VARIABLES[1] = 0.000279132;
VARIABLES[2] = 0.0207520;
VARIABLES[3] = 6.73345e-07;
VARIABLES[4] = 1.55787e-09;
VARIABLES[5] = 0.000153176;
VARIABLES[6] = 0.0113879;
VARIABLES[7] = 0.342780;
VARIABLES[8] = 9.30308e-19;
VARIABLES[9] = 0.000124216;
VARIABLES[10] = 5.78679e-09;
VARIABLES[11] = 1.19816e-13;
VARIABLES[12] = 4.97923e-19;
VARIABLES[13] = 3.45847e-14;
VARIABLES[14] = 1.85106e-14;
VARIABLES[15] = 0.000262753;
VARIABLES[16] = 0.000417069;
VARIABLES[17] = 0.998543;
VARIABLES[18] = 0.000417069;
VARIABLES[19] = 1.00000;
VARIABLES[20] = 143720.;
VARIABLES[21] = 0.115001;
VARIABLES[22] = 0.115001;
VARIABLES[23] = 1299.50;
VARIABLES[24] = 1299.50;
VARIABLES[25] = -82.4202;
VARIABLES[26] = 0.000175298;
VARIABLES[27] = 0.000992513;
VARIABLES[28] = 0.000641229;
VARIABLES[29] = 3.19129e-05;
VARIABLES[30] = 0.00265563;
VARIABLES[31] = 0.999977;
VARIABLES[32] = 0.000417069;
VARIABLES[33] = 0.998543;
VARIABLES[34] = 11.2684;
VARIABLES[35] = 125.290;
VARIABLES[36] = 1.49102e-05;
VARIABLES[37] = 9.51726e-11;
VARIABLES[38] = 0.000167740;
VARIABLES[39] = 14237.1;
VARIABLES[40] = 0.00000;
}

void ComputeRates(double* BOUND, double* RATES, double* CONSTANTS, double* VARIABLES)
{
RATES[25] = ((-(VARIABLES[53]+VARIABLES[109]+VARIABLES[110]+VARIABLES[111]+VARIABLES[41]+VARIABLES[72]+VARIABLES[90]+VARIABLES[93]+VARIABLES[99]+VARIABLES[104]+VARIABLES[59]+VARIABLES[62]+VARIABLES[65]+VARIABLES[82]+VARIABLES[105]+VARIABLES[107]))/CONSTANTS[18]);
RATES[21] = (VARIABLES[73]*((VARIABLES[76]+VARIABLES[81])-(VARIABLES[78]+VARIABLES[80]+((((VARIABLES[111]+VARIABLES[109])-(2.00000*VARIABLES[110]))*CONSTANTS[23]*CONSTANTS[18])/(2.00000*CONSTANTS[19]*CONSTANTS[29])))));
RATES[22] = (VARIABLES[74]*(((VARIABLES[77]*CONSTANTS[20])/CONSTANTS[22])-(((VARIABLES[81]*CONSTANTS[19])/CONSTANTS[22])+((VARIABLES[53]*CONSTANTS[23]*CONSTANTS[18])/(2.00000*CONSTANTS[22]*CONSTANTS[29])))));
RATES[23] = (VARIABLES[75]*(VARIABLES[79]-VARIABLES[77]));
RATES[24] = ((((VARIABLES[78]-VARIABLES[76])*CONSTANTS[19])/CONSTANTS[21])-((VARIABLES[79]*CONSTANTS[20])/CONSTANTS[21]));
RATES[40] = (((-0.0400000)*VARIABLES[40])-(((0.100000*VARIABLES[53])/CONSTANTS[4])*exp(((-pow((VARIABLES[25]-5.00000),2.00000))/648.000))));
RATES[34] = ((CONSTANTS[63]*VARIABLES[21]*(CONSTANTS[46]-VARIABLES[34]))-(CONSTANTS[64]*VARIABLES[34]));
RATES[35] = ((CONSTANTS[61]*VARIABLES[21]*(CONSTANTS[47]-VARIABLES[35]))-(CONSTANTS[62]*VARIABLES[35]));
RATES[36] = (((CONSTANTS[48]*pow(VARIABLES[22],CONSTANTS[3])*VARIABLES[108])+(CONSTANTS[51]*VARIABLES[37])+(CONSTANTS[1]*VARIABLES[38]))-((CONSTANTS[49]*VARIABLES[36])+(CONSTANTS[50]*pow(VARIABLES[22],CONSTANTS[2])*VARIABLES[36])+(CONSTANTS[52]*VARIABLES[36])));
RATES[37] = ((CONSTANTS[50]*pow(VARIABLES[22],CONSTANTS[2])*VARIABLES[36])-(CONSTANTS[51]*VARIABLES[37]));
RATES[38] = ((CONSTANTS[52]*VARIABLES[36])-(CONSTANTS[1]*VARIABLES[38]));
RATES[8] = (((VARIABLES[55]*VARIABLES[11])+(CONSTANTS[7]*VARIABLES[12])+(0.00100000*((VARIABLES[55]*VARIABLES[13])-(VARIABLES[58]*VARIABLES[8]))))-((4.00000*VARIABLES[56]*VARIABLES[8])+(VARIABLES[57]*VARIABLES[8])));
RATES[9] = (((4.00000*VARIABLES[55]*VARIABLES[54])+(2.00000*VARIABLES[56]*VARIABLES[10]))-((VARIABLES[56]*VARIABLES[9])+(3.00000*VARIABLES[55]*VARIABLES[9])));
RATES[10] = (((3.00000*VARIABLES[55]*VARIABLES[9])+(3.00000*VARIABLES[56]*VARIABLES[11]))-((2.00000*VARIABLES[56]*VARIABLES[10])+(2.00000*VARIABLES[55]*VARIABLES[10])));
RATES[11] = (((2.00000*VARIABLES[55]*VARIABLES[10])+(4.00000*VARIABLES[56]*VARIABLES[8])+(0.0100000*((4.00000*CONSTANTS[7]*VARIABLES[56]*VARIABLES[12])-(VARIABLES[55]*VARIABLES[57]*VARIABLES[11])))+(0.00200000*((4.00000*VARIABLES[56]*VARIABLES[13])-(VARIABLES[58]*VARIABLES[11])))+(4.00000*VARIABLES[56]*CONSTANTS[7]*VARIABLES[14]))-((3.00000*VARIABLES[56]*VARIABLES[11])+(VARIABLES[55]*VARIABLES[11])+(VARIABLES[57]*VARIABLES[58]*VARIABLES[11])));
RATES[12] = (((VARIABLES[57]*VARIABLES[8])+(0.00100000*((VARIABLES[55]*VARIABLES[14])-(VARIABLES[58]*VARIABLES[12])))+(0.0100000*((VARIABLES[55]*VARIABLES[57]*VARIABLES[11])-(4.00000*VARIABLES[56]*VARIABLES[58]*VARIABLES[12]))))-(CONSTANTS[7]*VARIABLES[12]));
RATES[13] = (((0.00100000*((VARIABLES[58]*VARIABLES[8])-(VARIABLES[55]*VARIABLES[13])))+(CONSTANTS[7]*VARIABLES[14])+(0.00200000*((VARIABLES[58]*VARIABLES[11])-(4.00000*VARIABLES[56]*VARIABLES[13]))))-(VARIABLES[57]*VARIABLES[13]));
RATES[14] = (((0.00100000*((VARIABLES[58]*VARIABLES[12])-(VARIABLES[55]*VARIABLES[14])))+(VARIABLES[57]*VARIABLES[13])+(VARIABLES[57]*VARIABLES[58]*VARIABLES[11]))-((4.00000*VARIABLES[56]*CONSTANTS[7]*VARIABLES[14])+(CONSTANTS[7]*VARIABLES[14])));
RATES[39] = (((-(VARIABLES[41]+VARIABLES[72]+(3.00000*VARIABLES[90])+(3.00000*VARIABLES[110])))*CONSTANTS[23]*CONSTANTS[18])/(CONSTANTS[19]*CONSTANTS[29]));
RATES[2] = (((VARIABLES[44]*VARIABLES[43])+(VARIABLES[47]*VARIABLES[1])+(VARIABLES[50]*VARIABLES[6]))-((VARIABLES[45]*VARIABLES[2])+(VARIABLES[46]*VARIABLES[2])+(VARIABLES[51]*VARIABLES[2])));
RATES[1] = (((VARIABLES[46]*VARIABLES[2])+(VARIABLES[49]*VARIABLES[0])+(VARIABLES[50]*VARIABLES[5]))-((VARIABLES[47]*VARIABLES[1])+(VARIABLES[48]*VARIABLES[1])+(VARIABLES[51]*VARIABLES[1])));
RATES[0] = (((VARIABLES[48]*VARIABLES[1])+(VARIABLES[67]*VARIABLES[5]))-((VARIABLES[49]*VARIABLES[0])+(VARIABLES[52]*VARIABLES[0])));
RATES[5] = (((VARIABLES[52]*VARIABLES[0])+(VARIABLES[51]*VARIABLES[1])+(VARIABLES[69]*VARIABLES[3])+(VARIABLES[46]*VARIABLES[6]))-((VARIABLES[67]*VARIABLES[5])+(VARIABLES[50]*VARIABLES[5])+(VARIABLES[68]*VARIABLES[5])+(VARIABLES[47]*VARIABLES[5])));
RATES[3] = (((VARIABLES[68]*VARIABLES[5])+(VARIABLES[71]*VARIABLES[4]))-((VARIABLES[69]*VARIABLES[3])+(VARIABLES[70]*VARIABLES[3])));
RATES[4] = ((VARIABLES[70]*VARIABLES[3])-(VARIABLES[71]*VARIABLES[4]));
RATES[6] = (((VARIABLES[44]*VARIABLES[7])+(VARIABLES[47]*VARIABLES[5])+(VARIABLES[51]*VARIABLES[6]))-((VARIABLES[45]*VARIABLES[6])+(VARIABLES[46]*VARIABLES[6])+(VARIABLES[50]*VARIABLES[6])));
RATES[7] = (((VARIABLES[45]*VARIABLES[6])+(VARIABLES[51]*VARIABLES[43]))-((VARIABLES[44]*VARIABLES[7])+(VARIABLES[50]*VARIABLES[7])));
RATES[20] = (((-((VARIABLES[93]+VARIABLES[99]+VARIABLES[104]+VARIABLES[59]+VARIABLES[65]+VARIABLES[62]+VARIABLES[82])-(2.00000*VARIABLES[90])))*CONSTANTS[23]*CONSTANTS[18])/(CONSTANTS[19]*CONSTANTS[29]));
RATES[30] = ((VARIABLES[95]*(1.00000-VARIABLES[30]))-(VARIABLES[96]*VARIABLES[30]));
RATES[31] = ((VARIABLES[97]*(1.00000-VARIABLES[31]))-(VARIABLES[98]*VARIABLES[31]));
RATES[32] = ((VARIABLES[100]-VARIABLES[32])/VARIABLES[102]);
RATES[33] = ((VARIABLES[101]-VARIABLES[33])/VARIABLES[103]);
RATES[15] = ((VARIABLES[60]*(1.00000-VARIABLES[15]))-(VARIABLES[61]*VARIABLES[15]));
RATES[16] = ((VARIABLES[100]-VARIABLES[16])/VARIABLES[63]);
RATES[17] = ((VARIABLES[101]-VARIABLES[17])/VARIABLES[64]);
RATES[18] = ((VARIABLES[100]-VARIABLES[18])/VARIABLES[66]);
RATES[19] = 0.00000;
RATES[28] = (((CONSTANTS[32]*VARIABLES[27])+(VARIABLES[87]*VARIABLES[26]))-((CONSTANTS[31]*VARIABLES[28])+(VARIABLES[86]*VARIABLES[28])));
RATES[27] = (((VARIABLES[84]*VARIABLES[83])+(CONSTANTS[31]*VARIABLES[28]))-((VARIABLES[85]*VARIABLES[27])+(CONSTANTS[32]*VARIABLES[27])));
RATES[26] = (((VARIABLES[86]*VARIABLES[28])+(VARIABLES[89]*VARIABLES[29]))-((VARIABLES[87]*VARIABLES[26])+(VARIABLES[88]*VARIABLES[26])));
RATES[29] = ((VARIABLES[88]*VARIABLES[26])-(VARIABLES[89]*VARIABLES[29]));
}

void ComputeVariables(double* BOUND, double* RATES, double* CONSTANTS, double* VARIABLES)
{
VARIABLES[98] = ((0.000950000*exp(((VARIABLES[25]+33.5000)/7.00000)))/((0.0513350*exp(((VARIABLES[25]+33.5000)/7.00000)))+1.00000));
VARIABLES[94] = (((CONSTANTS[27]*CONSTANTS[28])/CONSTANTS[29])*log((CONSTANTS[24]/VARIABLES[20])));
VARIABLES[99] = (CONSTANTS[37]*VARIABLES[32]*VARIABLES[33]*(VARIABLES[25]-VARIABLES[94]));
VARIABLES[100] = (1.00000/(1.00000+exp(((-(VARIABLES[25]+22.5000))/7.70000))));
VARIABLES[101] = (1.00000/(1.00000+exp(((VARIABLES[25]+45.2000)/5.70000))));
VARIABLES[102] = ((0.493000*exp(((-0.0629000)*VARIABLES[25])))+2.05800);
VARIABLES[103] = (270.000+(1050.00/(1.00000+exp(((VARIABLES[25]+45.2000)/5.70000)))));
VARIABLES[104] = ((((0.293800*CONSTANTS[24])/(CONSTANTS[24]+210.000))*(VARIABLES[25]-VARIABLES[94]))/(1.00000+exp((0.0896000*(VARIABLES[25]-VARIABLES[94])))));
VARIABLES[106] = (0.200000/(1.00000+exp(((-(VARIABLES[25]-46.7000))/7.80000))));
VARIABLES[105] = (((CONSTANTS[38]*VARIABLES[106]*VARIABLES[21])/(VARIABLES[21]+CONSTANTS[40]))*(VARIABLES[25]-CONSTANTS[39]));
VARIABLES[107] = ((((BOUND[0]>=CONSTANTS[41]))&&((BOUND[0]<=CONSTANTS[42]))&&((((BOUND[0]-CONSTANTS[41])-(floor(((BOUND[0]-CONSTANTS[41])/CONSTANTS[44]))*CONSTANTS[44]))<=CONSTANTS[45])))) ? (CONSTANTS[43]) : (0.00000);
VARIABLES[108] = (1.00000-(VARIABLES[38]+VARIABLES[36]+VARIABLES[37]));
VARIABLES[109] = ((CONSTANTS[53]*pow(VARIABLES[21],2.00000))/(pow(CONSTANTS[54],2.00000)+pow(VARIABLES[21],2.00000)));
VARIABLES[110] = (((((((CONSTANTS[55]*1.00000)/(pow(CONSTANTS[56],3.00000)+pow(CONSTANTS[25],3.00000)))*1.00000)/(CONSTANTS[57]+CONSTANTS[26]))*1.00000)/(1.00000+(CONSTANTS[58]*exp((((CONSTANTS[59]-1.00000)*VARIABLES[25]*CONSTANTS[29])/(CONSTANTS[27]*CONSTANTS[28]))))))*((exp(((CONSTANTS[59]*VARIABLES[25]*CONSTANTS[29])/(CONSTANTS[27]*CONSTANTS[28])))*pow(VARIABLES[39],3.00000)*CONSTANTS[26])-(exp((((CONSTANTS[59]-1.00000)*VARIABLES[25]*CONSTANTS[29])/(CONSTANTS[27]*CONSTANTS[28])))*pow(CONSTANTS[25],3.00000)*VARIABLES[21])));
VARIABLES[112] = (((CONSTANTS[27]*CONSTANTS[28])/(2.00000*CONSTANTS[29]))*log((CONSTANTS[26]/VARIABLES[21])));
VARIABLES[111] = (CONSTANTS[60]*(VARIABLES[25]-VARIABLES[112]));
VARIABLES[59] = (CONSTANTS[10]*pow(VARIABLES[15],2.00000)*(VARIABLES[25]-VARIABLES[94]));
VARIABLES[60] = (4.81333e-06*(VARIABLES[25]+26.5000)*(1.00000-exp(((-0.128000)*(VARIABLES[25]+26.5000)))));
VARIABLES[61] = (9.53333e-05*exp(((-0.0380000)*(VARIABLES[25]+26.5000))));
VARIABLES[62] = (CONSTANTS[11]*VARIABLES[16]*VARIABLES[17]*(VARIABLES[25]-VARIABLES[94]));
VARIABLES[63] = ((0.493000*exp(((-0.0629000)*VARIABLES[25])))+2.05800);
VARIABLES[64] = (1200.00-(170.000/(1.00000+exp(((VARIABLES[25]+45.2000)/5.70000)))));
VARIABLES[65] = (CONSTANTS[12]*VARIABLES[18]*VARIABLES[19]*(VARIABLES[25]-VARIABLES[94]));
VARIABLES[66] = ((39.3000*exp(((-0.0862000)*VARIABLES[25])))+13.1700);
VARIABLES[48] = (3.80200/((0.102700*exp(((-(VARIABLES[25]+2.50000))/12.0000)))+(0.250000*exp(((-(VARIABLES[25]+2.50000))/150.000)))));
VARIABLES[49] = (0.220000*exp(((-(VARIABLES[25]-7.50000))/20.3000)));
VARIABLES[50] = (7.00000e-07*exp(((-(VARIABLES[25]+7.00000))/7.70000)));
VARIABLES[51] = (0.00840000+(2.00000e-05*(VARIABLES[25]+7.00000)));
VARIABLES[52] = (1.00000/((0.188495*exp(((-(VARIABLES[25]+7.00000))/16.6000)))+0.393956));
VARIABLES[67] = ((VARIABLES[48]*VARIABLES[52]*VARIABLES[50])/(VARIABLES[49]*VARIABLES[51]));
VARIABLES[68] = (VARIABLES[52]/1000.00);
VARIABLES[69] = VARIABLES[50];
VARIABLES[70] = (VARIABLES[52]/95000.0);
VARIABLES[71] = (VARIABLES[50]/50.0000);
VARIABLES[42] = (((CONSTANTS[27]*CONSTANTS[28])/CONSTANTS[29])*log((((0.900000*CONSTANTS[25])+(0.100000*CONSTANTS[24]))/((0.900000*VARIABLES[39])+(0.100000*VARIABLES[20])))));
VARIABLES[72] = (CONSTANTS[13]*(VARIABLES[25]-VARIABLES[42]));
VARIABLES[73] = pow((1.00000+((CONSTANTS[14]*CONSTANTS[16])/pow((CONSTANTS[16]+VARIABLES[21]),2.00000))),(-1.00000));
VARIABLES[74] = pow((1.00000+((CONSTANTS[14]*CONSTANTS[16])/pow((CONSTANTS[16]+VARIABLES[22]),2.00000))),(-1.00000));
VARIABLES[75] = pow((1.00000+((CONSTANTS[15]*CONSTANTS[17])/pow((CONSTANTS[17]+VARIABLES[23]),2.00000))),(-1.00000));
VARIABLES[76] = (CONSTANTS[67]*(VARIABLES[24]-VARIABLES[21]));
VARIABLES[77] = (CONSTANTS[65]*(VARIABLES[36]+VARIABLES[37])*(VARIABLES[23]-VARIABLES[22])*VARIABLES[40]);
VARIABLES[78] = ((CONSTANTS[69]*pow(VARIABLES[21],2.00000))/(pow(CONSTANTS[70],2.00000)+pow(VARIABLES[21],2.00000)));
VARIABLES[79] = ((VARIABLES[24]-VARIABLES[23])/CONSTANTS[66]);
VARIABLES[80] = (((CONSTANTS[61]*VARIABLES[21]*(CONSTANTS[47]-VARIABLES[35]))+(CONSTANTS[63]*VARIABLES[21]*(CONSTANTS[46]-VARIABLES[34])))-((CONSTANTS[62]*VARIABLES[35])+(CONSTANTS[64]*VARIABLES[34])));
VARIABLES[41] = (CONSTANTS[0]*VARIABLES[0]*(VARIABLES[25]-VARIABLES[42]));
VARIABLES[81] = ((VARIABLES[22]-VARIABLES[21])/CONSTANTS[68]);
VARIABLES[82] = (CONSTANTS[30]*VARIABLES[26]*(VARIABLES[25]-(((CONSTANTS[27]*CONSTANTS[28])/CONSTANTS[29])*log((((0.980000*CONSTANTS[24])+(0.0200000*CONSTANTS[25]))/((0.980000*VARIABLES[20])+(0.0200000*VARIABLES[39])))))));
VARIABLES[83] = (1.00000-(VARIABLES[27]+VARIABLES[28]+VARIABLES[26]+VARIABLES[29]));
VARIABLES[84] = (0.0223480*exp((0.0117600*VARIABLES[25])));
VARIABLES[85] = (0.0470020*exp(((-0.0631000)*VARIABLES[25])));
VARIABLES[86] = (0.0137330*exp((0.0381980*VARIABLES[25])));
VARIABLES[87] = (6.89000e-05*exp(((-0.0417800)*VARIABLES[25])));
VARIABLES[88] = (0.0908210*exp((0.0233910*(VARIABLES[25]+5.00000))));
VARIABLES[89] = (0.00649700*exp(((-0.0326800)*(VARIABLES[25]+5.00000))));
VARIABLES[91] = (1.00000/(1.00000+(0.124500*exp((((-0.100000)*VARIABLES[25]*CONSTANTS[29])/(CONSTANTS[27]*CONSTANTS[28]))))+(0.0365000*VARIABLES[92]*exp((((-VARIABLES[25])*CONSTANTS[29])/(CONSTANTS[27]*CONSTANTS[28]))))));
VARIABLES[90] = ((((CONSTANTS[33]*VARIABLES[91]*1.00000)/(1.00000+pow((CONSTANTS[34]/VARIABLES[39]),1.50000)))*CONSTANTS[24])/(CONSTANTS[24]+CONSTANTS[35]));
VARIABLES[93] = (CONSTANTS[36]*pow(VARIABLES[30],3.00000)*VARIABLES[31]*(VARIABLES[25]-VARIABLES[94]));
VARIABLES[95] = (0.180640*exp((0.0357700*(VARIABLES[25]+30.0000))));
VARIABLES[96] = (0.395600*exp(((-0.0623700)*(VARIABLES[25]+30.0000))));
VARIABLES[97] = ((0.000152000*exp(((-(VARIABLES[25]+13.5000))/7.00000)))/((0.00670830*exp(((-(VARIABLES[25]+33.5000))/7.00000)))+1.00000));
VARIABLES[43] = (1.00000-(VARIABLES[0]+VARIABLES[1]+VARIABLES[2]+VARIABLES[5]+VARIABLES[3]+VARIABLES[4]+VARIABLES[6]+VARIABLES[7]));
VARIABLES[44] = (3.80200/((0.102700*exp(((-(VARIABLES[25]+2.50000))/17.0000)))+(0.200000*exp(((-(VARIABLES[25]+2.50000))/150.000)))));
VARIABLES[45] = (0.191700*exp(((-(VARIABLES[25]+2.50000))/20.3000)));
VARIABLES[46] = (3.80200/((0.102700*exp(((-(VARIABLES[25]+2.50000))/15.0000)))+(0.230000*exp(((-(VARIABLES[25]+2.50000))/150.000)))));
VARIABLES[47] = (0.200000*exp(((-(VARIABLES[25]-2.50000))/20.3000)));
VARIABLES[53] = (CONSTANTS[6]*VARIABLES[8]*(VARIABLES[25]-CONSTANTS[5]));
VARIABLES[54] = (1.00000-(VARIABLES[8]+VARIABLES[9]+VARIABLES[9]+VARIABLES[10]+VARIABLES[11]+VARIABLES[12]+VARIABLES[13]+VARIABLES[14]));
VARIABLES[55] = ((0.400000*exp(((VARIABLES[25]+12.0000)/10.0000))*((1.00000+(0.700000*exp(((-pow((VARIABLES[25]+40.0000),2.00000))/10.0000))))-(0.750000*exp(((-pow((VARIABLES[25]+20.0000),2.00000))/400.000)))))/(1.00000+(0.120000*exp(((VARIABLES[25]+12.0000)/10.0000)))));
VARIABLES[56] = (0.0500000*exp(((-(VARIABLES[25]+12.0000))/13.0000)));
VARIABLES[57] = ((CONSTANTS[8]*VARIABLES[22])/(CONSTANTS[9]+VARIABLES[22]));
VARIABLES[58] = (13.0000*(1.00000-exp(((-pow((VARIABLES[25]+14.5000),2.00000))/100.000))));
#ifndef VARIABLES_FOR_RATES_ONLY
#endif
}