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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[66]
    • BOUND[1]
    • RATES[41]
  • The following variables are defined:
    • Variable g_Cab(CONSTANTS[0])
    • Variable E_CaN(VARIABLES[41]; recomputed after rate changes)
    • Variable Nai(RATES[0] and VARIABLES[0])
    • Variable i_Na(VARIABLES[42]; recomputed after rate changes)
    • Variable E_Na(VARIABLES[43]; recomputed after rate changes)
    • Variable g_Na(CONSTANTS[1])
    • Variable O_Na(RATES[1] and VARIABLES[1])
    • Variable C_Na1(RATES[2] and VARIABLES[2])
    • Variable C_Na2(RATES[3] and VARIABLES[3])
    • Variable C_Na3(VARIABLES[44]; recomputed after rate changes)
    • Variable I1_Na(RATES[4] and VARIABLES[4])
    • Variable I2_Na(RATES[5] and VARIABLES[5])
    • Variable IF_Na(RATES[6] and VARIABLES[6])
    • Variable IC_Na2(RATES[7] and VARIABLES[7])
    • Variable Kpcf(VARIABLES[45]; recomputed after rate changes)
    • Variable Kpcb(CONSTANTS[2])
    • Variable Kpc_max(CONSTANTS[3])
    • Variable Kpc_half(CONSTANTS[4])
    • Variable i_pCa(VARIABLES[46]; recomputed after rate changes)
    • Variable i_pCa_max(CONSTANTS[5])
    • Variable Km_pCa(CONSTANTS[6])
    • Variable i_NaCa(VARIABLES[47]; recomputed after rate changes)
    • Variable k_NaCa(CONSTANTS[7])
    • Variable K_mNa(CONSTANTS[8])
    • Variable K_mCa(CONSTANTS[9])
    • Variable k_sat(CONSTANTS[10])
    • Variable eta(CONSTANTS[11])
    • Variable i_Cab(VARIABLES[48]; recomputed after rate changes)
    • Variable g_Kto_s(CONSTANTS[12])
    • Variable ato_s(RATES[8] and VARIABLES[8])
    • Variable ito_s(RATES[9] and VARIABLES[9])
    • Variable tau_ta_s(VARIABLES[49]; recomputed after rate changes)
    • Variable tau_ti_s(VARIABLES[50]; recomputed after rate changes)
    • Variable i_K1(VARIABLES[51]; recomputed after rate changes)
    • Variable i_Ks(VARIABLES[52]; recomputed after rate changes)
    • Variable g_Ks(CONSTANTS[13])
    • Variable nKs(RATES[10] and VARIABLES[10])
    • Variable alpha_n(VARIABLES[53]; recomputed after rate changes)
    • Variable beta_n(VARIABLES[54]; recomputed after rate changes)
    • Variable i_Kur(VARIABLES[55]; recomputed after rate changes)
    • Variable g_Kur(CONSTANTS[14])
    • Variable aur(RATES[11] and VARIABLES[11])
    • Variable iur(RATES[12] and VARIABLES[12])
    • Variable tau_aur(VARIABLES[56]; recomputed after rate changes)
    • Variable tau_iur(VARIABLES[57]; recomputed after rate changes)
    • Variable IC_Na3(RATES[13] and VARIABLES[13])
    • Variable alpha_Na11(VARIABLES[58]; recomputed after rate changes)
    • Variable beta_Na11(VARIABLES[59]; recomputed after rate changes)
    • Variable alpha_Na12(VARIABLES[60]; recomputed after rate changes)
    • Variable beta_Na12(VARIABLES[61]; recomputed after rate changes)
    • Variable alpha_Na13(VARIABLES[62]; recomputed after rate changes)
    • Variable beta_Na13(VARIABLES[63]; recomputed after rate changes)
    • Variable alpha_Na3(VARIABLES[64]; recomputed after rate changes)
    • Variable beta_Na3(VARIABLES[65]; recomputed after rate changes)
    • Variable alpha_Na2(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[15])
    • Variable Ki(RATES[14] and VARIABLES[14])
    • Variable Cai(RATES[15] and VARIABLES[15])
    • Variable Cass(RATES[16] and VARIABLES[16])
    • Variable CaJSR(RATES[17] and VARIABLES[17])
    • Variable CaNSR(RATES[18] and VARIABLES[18])
    • 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[16])
    • Variable CSQN_tot(CONSTANTS[17])
    • Variable Km_CMDN(CONSTANTS[18])
    • Variable Km_CSQN(CONSTANTS[19])
    • Variable J_leak(VARIABLES[76]; recomputed after rate changes)
    • Variable J_rel(VARIABLES[77]; recomputed after rate changes)
    • Variable time(BOUND[0])
    • Variable V(RATES[19] and VARIABLES[19])
    • Variable Cm(CONSTANTS[20])
    • Variable Vmyo(CONSTANTS[21])
    • Variable VJSR(CONSTANTS[22])
    • Variable VNSR(CONSTANTS[23])
    • Variable Vss(CONSTANTS[24])
    • Variable Acap(CONSTANTS[25])
    • Variable Ko(CONSTANTS[26])
    • Variable Nao(CONSTANTS[27])
    • Variable i_Kto_f(VARIABLES[78]; recomputed after rate changes)
    • Variable E_K(VARIABLES[79]; recomputed after rate changes)
    • Variable g_Kto_f(CONSTANTS[28])
    • Variable ato_f(RATES[20] and VARIABLES[20])
    • Variable ito_f(RATES[21] and VARIABLES[21])
    • Variable alpha_a(VARIABLES[80]; recomputed after rate changes)
    • Variable beta_a(VARIABLES[81]; recomputed after rate changes)
    • Variable alpha_i(VARIABLES[82]; recomputed after rate changes)
    • Variable beta_i(VARIABLES[83]; recomputed after rate changes)
    • Variable i_Kto_s(VARIABLES[84]; recomputed after rate changes)
    • Variable ass(VARIABLES[85]; recomputed after rate changes)
    • Variable iss(VARIABLES[86]; recomputed after rate changes)
    • Variable i_Kss(VARIABLES[87]; recomputed after rate changes)
    • Variable g_Kss(CONSTANTS[29])
    • Variable aKss(RATES[22] and VARIABLES[22])
    • Variable iKss(RATES[23] and VARIABLES[23])
    • Variable tau_Kss(VARIABLES[88]; recomputed after rate changes)
    • Variable i_Kr(VARIABLES[89]; recomputed after rate changes)
    • Variable g_Kr(CONSTANTS[30])
    • Variable O_K(RATES[24] and VARIABLES[24])
    • Variable C_K1(RATES[25] and VARIABLES[25])
    • Variable C_K2(RATES[26] and VARIABLES[26])
    • Variable C_K0(VARIABLES[90]; recomputed after rate changes)
    • Variable I_K(RATES[27] and VARIABLES[27])
    • Variable alpha_a0(VARIABLES[91]; recomputed after rate changes)
    • Variable beta_a0(VARIABLES[92]; recomputed after rate changes)
    • Variable kb(CONSTANTS[31])
    • Variable kf(CONSTANTS[32])
    • Variable alpha_a1(VARIABLES[93]; recomputed after rate changes)
    • Variable beta_a1(VARIABLES[94]; recomputed after rate changes)
    • Variable alpha_i(VARIABLES[95]; recomputed after rate changes)
    • Variable beta_i(VARIABLES[96]; recomputed after rate changes)
    • Variable i_NaK(VARIABLES[97]; recomputed after rate changes)
    • Variable k_minus_a(CONSTANTS[33])
    • Variable k_plus_b(CONSTANTS[34])
    • Variable k_minus_b(CONSTANTS[35])
    • Variable k_plus_c(CONSTANTS[36])
    • Variable k_minus_c(CONSTANTS[37])
    • Variable m(CONSTANTS[38])
    • Variable n(CONSTANTS[39])
    • Variable i_CaL(VARIABLES[98]; recomputed after rate changes)
    • Variable i_CaL_max(CONSTANTS[40])
    • Variable E_CaL(CONSTANTS[41])
    • Variable g_CaL(CONSTANTS[42])
    • Variable O(RATES[28] and VARIABLES[28])
    • Variable C1(VARIABLES[99]; recomputed after rate changes)
    • Variable C2(RATES[29] and VARIABLES[29])
    • Variable C3(RATES[30] and VARIABLES[30])
    • Variable C4(RATES[31] and VARIABLES[31])
    • Variable I1(RATES[32] and VARIABLES[32])
    • Variable I2(RATES[33] and VARIABLES[33])
    • Variable I3(RATES[34] and VARIABLES[34])
    • Variable alpha(VARIABLES[100]; recomputed after rate changes)
    • Variable beta(VARIABLES[101]; recomputed after rate changes)
    • Variable gamma(VARIABLES[102]; recomputed after rate changes)
    • Variable LTRPN_tot(CONSTANTS[43])
    • Variable HTRPN_tot(CONSTANTS[44])
    • Variable LTRPN_Ca(RATES[35] and VARIABLES[35])
    • Variable HTRPN_Ca(RATES[36] and VARIABLES[36])
    • Variable P_O1(RATES[37] and VARIABLES[37])
    • Variable P_O2(RATES[38] and VARIABLES[38])
    • Variable P_C1(VARIABLES[103]; recomputed after rate changes)
    • Variable P_C2(RATES[39] and VARIABLES[39])
    • Variable k_plus_a(CONSTANTS[45])
    • Variable Cao(CONSTANTS[46])
    • Variable R(CONSTANTS[47])
    • Variable T(CONSTANTS[48])
    • Variable F(CONSTANTS[49])
    • Variable i_stim(VARIABLES[104]; recomputed after rate changes)
    • Variable J_up(VARIABLES[105]; recomputed after rate changes)
    • Variable J_tr(VARIABLES[106]; recomputed after rate changes)
    • Variable J_trpn(VARIABLES[107]; recomputed after rate changes)
    • Variable J_xfer(VARIABLES[108]; recomputed after rate changes)
    • Variable k_plus_htrpn(CONSTANTS[50])
    • Variable k_minus_htrpn(CONSTANTS[51])
    • Variable k_plus_ltrpn(CONSTANTS[52])
    • Variable k_minus_ltrpn(CONSTANTS[53])
    • Variable P_RyR(RATES[40] and VARIABLES[40])
    • Variable v1(CONSTANTS[54])
    • Variable tau_tr(CONSTANTS[55])
    • Variable v2(CONSTANTS[56])
    • Variable tau_xfer(CONSTANTS[57])
    • Variable v3(CONSTANTS[58])
    • Variable Km_up(CONSTANTS[59])
    • Variable i_NaK_max(CONSTANTS[60])
    • Variable Km_Nai(CONSTANTS[61])
    • Variable Km_Ko(CONSTANTS[62])
    • Variable f_NaK(VARIABLES[109]; recomputed after rate changes)
    • Variable sigma(VARIABLES[110]; computed once)
    • Variable i_ClCa(VARIABLES[111]; recomputed after rate changes)
    • Variable g_ClCa(CONSTANTS[63])
    • Variable O_ClCa(VARIABLES[112]; recomputed after rate changes)
    • Variable E_Cl(CONSTANTS[64])
    • Variable Km_Cl(CONSTANTS[65])
  • No equation needed for Newton-Raphson evaluation.
void SetupFixedConstants(double* CONSTANTS)
{
CONSTANTS[0] = 0.000367;
CONSTANTS[1] = 13;
CONSTANTS[2] = 0.0005;
CONSTANTS[3] = 0.23324;
CONSTANTS[4] = 20;
CONSTANTS[5] = 1;
CONSTANTS[6] = 0.5;
CONSTANTS[7] = 292.8;
CONSTANTS[8] = 87500;
CONSTANTS[9] = 1380;
CONSTANTS[10] = 0.1;
CONSTANTS[11] = 0.35;
CONSTANTS[12] = 0.0629;
CONSTANTS[13] = 0.00575;
CONSTANTS[14] = 0.0975;
CONSTANTS[15] = 0.0026;
CONSTANTS[16] = 50;
CONSTANTS[17] = 15000;
CONSTANTS[18] = 0.238;
CONSTANTS[19] = 800;
CONSTANTS[20] = 1;
CONSTANTS[21] = 2.584e-05;
CONSTANTS[22] = 1.2e-07;
CONSTANTS[23] = 2.098e-06;
CONSTANTS[24] = 1.485e-09;
CONSTANTS[25] = 0.0001534;
CONSTANTS[26] = 5400;
CONSTANTS[27] = 140000;
CONSTANTS[28] = 0.0798;
CONSTANTS[29] = 0.0324;
CONSTANTS[30] = 0.078;
CONSTANTS[31] = 0.036778;
CONSTANTS[32] = 0.023761;
CONSTANTS[33] = 0.07125;
CONSTANTS[34] = 0.00405;
CONSTANTS[35] = 0.965;
CONSTANTS[36] = 0.009;
CONSTANTS[37] = 0.0008;
CONSTANTS[38] = 3;
CONSTANTS[39] = 4;
CONSTANTS[40] = 7;
CONSTANTS[41] = 63;
CONSTANTS[42] = 0.1729;
CONSTANTS[43] = 70;
CONSTANTS[44] = 140;
CONSTANTS[45] = 0.006075;
CONSTANTS[46] = 1800;
CONSTANTS[47] = 8.314;
CONSTANTS[48] = 298;
CONSTANTS[49] = 96.5;
CONSTANTS[50] = 0.00237;
CONSTANTS[51] = 3.2e-05;
CONSTANTS[52] = 0.0327;
CONSTANTS[53] = 0.0196;
CONSTANTS[54] = 4.5;
CONSTANTS[55] = 20;
CONSTANTS[56] = 1.74e-05;
CONSTANTS[57] = 8;
CONSTANTS[58] = 0.45;
CONSTANTS[59] = 0.5;
CONSTANTS[60] = 0.88;
CONSTANTS[61] = 21000;
CONSTANTS[62] = 1500;
CONSTANTS[63] = 10;
CONSTANTS[64] = -40;
CONSTANTS[65] = 10;
}

void SetupComputedConstants(double* CONSTANTS, double* VARIABLES)
{
VARIABLES[110] = ((1.00000/7.00000)*(exp((CONSTANTS[27]/67300.0))-1.00000));
VARIABLES[0] = 14237.1;
VARIABLES[1] = 7.13483e-07;
VARIABLES[2] = 0.000279132;
VARIABLES[3] = 0.0207520;
VARIABLES[4] = 6.73345e-07;
VARIABLES[5] = 1.55787e-09;
VARIABLES[6] = 0.000153176;
VARIABLES[7] = 0.0113879;
VARIABLES[8] = 0.000417069;
VARIABLES[9] = 0.998543;
VARIABLES[10] = 0.000262753;
VARIABLES[11] = 0.000417069;
VARIABLES[12] = 0.998543;
VARIABLES[13] = 0.342780;
VARIABLES[14] = 143720.;
VARIABLES[15] = 0.115001;
VARIABLES[16] = 0.115001;
VARIABLES[17] = 1299.50;
VARIABLES[18] = 1299.50;
VARIABLES[19] = -82.4202;
VARIABLES[20] = 0.00265563;
VARIABLES[21] = 0.999977;
VARIABLES[22] = 0.000417069;
VARIABLES[23] = 1.00000;
VARIABLES[24] = 0.000175298;
VARIABLES[25] = 0.000992513;
VARIABLES[26] = 0.000641229;
VARIABLES[27] = 3.19129e-05;
VARIABLES[28] = 9.30308e-19;
VARIABLES[29] = 0.000124216;
VARIABLES[30] = 5.78679e-09;
VARIABLES[31] = 1.19816e-13;
VARIABLES[32] = 4.97923e-19;
VARIABLES[33] = 3.45847e-14;
VARIABLES[34] = 1.85106e-14;
VARIABLES[35] = 11.2684;
VARIABLES[36] = 125.290;
VARIABLES[37] = 1.49102e-05;
VARIABLES[38] = 9.51726e-11;
VARIABLES[39] = 0.000167740;
VARIABLES[40] = 0.00000;
}

void ComputeRates(double* BOUND, double* RATES, double* CONSTANTS, double* VARIABLES)
{
RATES[19] = ((-(VARIABLES[98]+VARIABLES[46]+VARIABLES[47]+VARIABLES[48]+VARIABLES[42]+VARIABLES[72]+VARIABLES[97]+VARIABLES[78]+VARIABLES[84]+VARIABLES[51]+VARIABLES[52]+VARIABLES[55]+VARIABLES[87]+VARIABLES[89]+VARIABLES[111]+VARIABLES[104]))/CONSTANTS[20]);
RATES[15] = (VARIABLES[73]*((VARIABLES[76]+VARIABLES[108])-(VARIABLES[105]+VARIABLES[107]+((((VARIABLES[48]+VARIABLES[46])-(2.00000*VARIABLES[47]))*CONSTANTS[25]*CONSTANTS[20])/(2.00000*CONSTANTS[21]*CONSTANTS[49])))));
RATES[16] = (VARIABLES[74]*(((VARIABLES[77]*CONSTANTS[22])/CONSTANTS[24])-(((VARIABLES[108]*CONSTANTS[21])/CONSTANTS[24])+((VARIABLES[98]*CONSTANTS[25]*CONSTANTS[20])/(2.00000*CONSTANTS[24]*CONSTANTS[49])))));
RATES[17] = (VARIABLES[75]*(VARIABLES[106]-VARIABLES[77]));
RATES[18] = ((((VARIABLES[105]-VARIABLES[76])*CONSTANTS[21])/CONSTANTS[23])-((VARIABLES[106]*CONSTANTS[22])/CONSTANTS[23]));
RATES[40] = (((-0.0400000)*VARIABLES[40])-(((0.100000*VARIABLES[98])/CONSTANTS[40])*exp(((-pow((VARIABLES[19]-5.00000),2.00000))/648.000))));
RATES[35] = ((CONSTANTS[52]*VARIABLES[15]*(CONSTANTS[43]-VARIABLES[35]))-(CONSTANTS[53]*VARIABLES[35]));
RATES[36] = ((CONSTANTS[50]*VARIABLES[15]*(CONSTANTS[44]-VARIABLES[36]))-(CONSTANTS[51]*VARIABLES[36]));
RATES[37] = (((CONSTANTS[45]*pow(VARIABLES[16],CONSTANTS[39])*VARIABLES[103])+(CONSTANTS[35]*VARIABLES[38])+(CONSTANTS[37]*VARIABLES[39]))-((CONSTANTS[33]*VARIABLES[37])+(CONSTANTS[34]*pow(VARIABLES[16],CONSTANTS[38])*VARIABLES[37])+(CONSTANTS[36]*VARIABLES[37])));
RATES[38] = ((CONSTANTS[34]*pow(VARIABLES[16],CONSTANTS[38])*VARIABLES[37])-(CONSTANTS[35]*VARIABLES[38]));
RATES[39] = ((CONSTANTS[36]*VARIABLES[37])-(CONSTANTS[37]*VARIABLES[39]));
RATES[28] = (((VARIABLES[100]*VARIABLES[31])+(CONSTANTS[2]*VARIABLES[32])+(0.00100000*((VARIABLES[100]*VARIABLES[33])-(VARIABLES[45]*VARIABLES[28]))))-((4.00000*VARIABLES[101]*VARIABLES[28])+(VARIABLES[102]*VARIABLES[28])));
RATES[29] = (((4.00000*VARIABLES[100]*VARIABLES[99])+(2.00000*VARIABLES[101]*VARIABLES[30]))-((VARIABLES[101]*VARIABLES[29])+(3.00000*VARIABLES[100]*VARIABLES[29])));
RATES[30] = (((3.00000*VARIABLES[100]*VARIABLES[29])+(3.00000*VARIABLES[101]*VARIABLES[31]))-((2.00000*VARIABLES[101]*VARIABLES[30])+(2.00000*VARIABLES[100]*VARIABLES[30])));
RATES[31] = (((2.00000*VARIABLES[100]*VARIABLES[30])+(4.00000*VARIABLES[101]*VARIABLES[28])+(0.0100000*((4.00000*CONSTANTS[2]*VARIABLES[101]*VARIABLES[32])-(VARIABLES[100]*VARIABLES[102]*VARIABLES[31])))+(0.00200000*((4.00000*VARIABLES[101]*VARIABLES[33])-(VARIABLES[45]*VARIABLES[31])))+(4.00000*VARIABLES[101]*CONSTANTS[2]*VARIABLES[34]))-((3.00000*VARIABLES[101]*VARIABLES[31])+(VARIABLES[100]*VARIABLES[31])+(VARIABLES[102]*VARIABLES[45]*VARIABLES[31])));
RATES[32] = (((VARIABLES[102]*VARIABLES[28])+(0.00100000*((VARIABLES[100]*VARIABLES[34])-(VARIABLES[45]*VARIABLES[32])))+(0.0100000*((VARIABLES[100]*VARIABLES[102]*VARIABLES[31])-(4.00000*VARIABLES[101]*VARIABLES[45]*VARIABLES[32]))))-(CONSTANTS[2]*VARIABLES[32]));
RATES[33] = (((0.00100000*((VARIABLES[45]*VARIABLES[28])-(VARIABLES[100]*VARIABLES[33])))+(CONSTANTS[2]*VARIABLES[34])+(0.00200000*((VARIABLES[45]*VARIABLES[31])-(4.00000*VARIABLES[101]*VARIABLES[33]))))-(VARIABLES[102]*VARIABLES[33]));
RATES[34] = (((0.00100000*((VARIABLES[45]*VARIABLES[32])-(VARIABLES[100]*VARIABLES[34])))+(VARIABLES[102]*VARIABLES[33])+(VARIABLES[102]*VARIABLES[45]*VARIABLES[31]))-((4.00000*VARIABLES[101]*CONSTANTS[2]*VARIABLES[34])+(CONSTANTS[2]*VARIABLES[34])));
RATES[0] = (((-(VARIABLES[42]+VARIABLES[72]+(3.00000*VARIABLES[97])+(3.00000*VARIABLES[47])))*CONSTANTS[25]*CONSTANTS[20])/(CONSTANTS[21]*CONSTANTS[49]));
RATES[3] = (((VARIABLES[58]*VARIABLES[44])+(VARIABLES[61]*VARIABLES[2])+(VARIABLES[64]*VARIABLES[7]))-((VARIABLES[59]*VARIABLES[3])+(VARIABLES[60]*VARIABLES[3])+(VARIABLES[65]*VARIABLES[3])));
RATES[2] = (((VARIABLES[60]*VARIABLES[3])+(VARIABLES[63]*VARIABLES[1])+(VARIABLES[64]*VARIABLES[6]))-((VARIABLES[61]*VARIABLES[2])+(VARIABLES[62]*VARIABLES[2])+(VARIABLES[65]*VARIABLES[2])));
RATES[1] = (((VARIABLES[62]*VARIABLES[2])+(VARIABLES[67]*VARIABLES[6]))-((VARIABLES[63]*VARIABLES[1])+(VARIABLES[66]*VARIABLES[1])));
RATES[6] = (((VARIABLES[66]*VARIABLES[1])+(VARIABLES[65]*VARIABLES[2])+(VARIABLES[69]*VARIABLES[4])+(VARIABLES[60]*VARIABLES[7]))-((VARIABLES[67]*VARIABLES[6])+(VARIABLES[64]*VARIABLES[6])+(VARIABLES[68]*VARIABLES[6])+(VARIABLES[61]*VARIABLES[6])));
RATES[4] = (((VARIABLES[68]*VARIABLES[6])+(VARIABLES[71]*VARIABLES[5]))-((VARIABLES[69]*VARIABLES[4])+(VARIABLES[70]*VARIABLES[4])));
RATES[5] = ((VARIABLES[70]*VARIABLES[4])-(VARIABLES[71]*VARIABLES[5]));
RATES[7] = (((VARIABLES[58]*VARIABLES[13])+(VARIABLES[61]*VARIABLES[6])+(VARIABLES[65]*VARIABLES[7]))-((VARIABLES[59]*VARIABLES[7])+(VARIABLES[60]*VARIABLES[7])+(VARIABLES[64]*VARIABLES[7])));
RATES[13] = (((VARIABLES[59]*VARIABLES[7])+(VARIABLES[65]*VARIABLES[44]))-((VARIABLES[58]*VARIABLES[13])+(VARIABLES[64]*VARIABLES[13])));
RATES[14] = (((-((VARIABLES[78]+VARIABLES[84]+VARIABLES[51]+VARIABLES[52]+VARIABLES[87]+VARIABLES[55]+VARIABLES[89])-(2.00000*VARIABLES[97])))*CONSTANTS[25]*CONSTANTS[20])/(CONSTANTS[21]*CONSTANTS[49]));
RATES[20] = ((VARIABLES[80]*(1.00000-VARIABLES[20]))-(VARIABLES[81]*VARIABLES[20]));
RATES[21] = ((VARIABLES[82]*(1.00000-VARIABLES[21]))-(VARIABLES[83]*VARIABLES[21]));
RATES[8] = ((VARIABLES[85]-VARIABLES[8])/VARIABLES[49]);
RATES[9] = ((VARIABLES[86]-VARIABLES[9])/VARIABLES[50]);
RATES[10] = ((VARIABLES[53]*(1.00000-VARIABLES[10]))-(VARIABLES[54]*VARIABLES[10]));
RATES[11] = ((VARIABLES[85]-VARIABLES[11])/VARIABLES[56]);
RATES[12] = ((VARIABLES[86]-VARIABLES[12])/VARIABLES[57]);
RATES[22] = ((VARIABLES[85]-VARIABLES[22])/VARIABLES[88]);
RATES[23] = 0.00000;
RATES[26] = (((CONSTANTS[32]*VARIABLES[25])+(VARIABLES[94]*VARIABLES[24]))-((CONSTANTS[31]*VARIABLES[26])+(VARIABLES[93]*VARIABLES[26])));
RATES[25] = (((VARIABLES[91]*VARIABLES[90])+(CONSTANTS[31]*VARIABLES[26]))-((VARIABLES[92]*VARIABLES[25])+(CONSTANTS[32]*VARIABLES[25])));
RATES[24] = (((VARIABLES[93]*VARIABLES[26])+(VARIABLES[96]*VARIABLES[27]))-((VARIABLES[94]*VARIABLES[24])+(VARIABLES[95]*VARIABLES[24])));
RATES[27] = ((VARIABLES[95]*VARIABLES[24])-(VARIABLES[96]*VARIABLES[27]));
}

void ComputeVariables(double* BOUND, double* RATES, double* CONSTANTS, double* VARIABLES)
{
VARIABLES[103] = (1.00000-(VARIABLES[39]+VARIABLES[37]+VARIABLES[38]));
VARIABLES[104] = ((((BOUND[0]>=20.0000))&&((BOUND[0]<=20.5000)))) ? ((-80.0000)) : (0.00000);
VARIABLES[105] = ((CONSTANTS[58]*pow(VARIABLES[15],2.00000))/(pow(CONSTANTS[59],2.00000)+pow(VARIABLES[15],2.00000)));
VARIABLES[106] = ((VARIABLES[18]-VARIABLES[17])/CONSTANTS[55]);
VARIABLES[107] = (((CONSTANTS[50]*VARIABLES[15]*(CONSTANTS[44]-VARIABLES[36]))+(CONSTANTS[52]*VARIABLES[15]*(CONSTANTS[43]-VARIABLES[35])))-((CONSTANTS[51]*VARIABLES[36])+(CONSTANTS[53]*VARIABLES[35])));
VARIABLES[108] = ((VARIABLES[16]-VARIABLES[15])/CONSTANTS[57]);
VARIABLES[109] = (1.00000/(1.00000+(0.124500*exp((((-0.100000)*VARIABLES[19]*CONSTANTS[49])/(CONSTANTS[47]*CONSTANTS[48]))))+(0.0365000*VARIABLES[110]*exp((((-VARIABLES[19])*CONSTANTS[49])/(CONSTANTS[47]*CONSTANTS[48]))))));
VARIABLES[112] = (0.200000/(1.00000+exp(((-(VARIABLES[19]-46.7000))/7.80000))));
VARIABLES[111] = (((CONSTANTS[63]*VARIABLES[112]*VARIABLES[15])/(VARIABLES[15]+CONSTANTS[65]))*(VARIABLES[19]-CONSTANTS[64]));
VARIABLES[43] = (((CONSTANTS[47]*CONSTANTS[48])/CONSTANTS[49])*log((((0.900000*CONSTANTS[27])+(0.100000*CONSTANTS[26]))/((0.900000*VARIABLES[0])+(0.100000*VARIABLES[14])))));
VARIABLES[42] = (CONSTANTS[1]*VARIABLES[1]*(VARIABLES[19]-VARIABLES[43]));
VARIABLES[76] = (CONSTANTS[56]*(VARIABLES[18]-VARIABLES[15]));
VARIABLES[77] = (CONSTANTS[54]*(VARIABLES[37]+VARIABLES[38])*(VARIABLES[17]-VARIABLES[16])*VARIABLES[40]);
VARIABLES[79] = (((CONSTANTS[47]*CONSTANTS[48])/CONSTANTS[49])*log((CONSTANTS[26]/VARIABLES[14])));
VARIABLES[78] = (CONSTANTS[28]*pow(VARIABLES[20],3.00000)*VARIABLES[21]*(VARIABLES[19]-VARIABLES[79]));
VARIABLES[80] = (0.180640*exp((0.0357700*(VARIABLES[19]+30.0000))));
VARIABLES[81] = (0.395600*exp(((-0.0623700)*(VARIABLES[19]+30.0000))));
VARIABLES[82] = ((0.000152000*exp(((-(VARIABLES[19]+13.5000))/7.00000)))/((0.00670830*exp(((-(VARIABLES[19]+33.5000))/7.00000)))+1.00000));
VARIABLES[83] = ((0.000950000*exp(((VARIABLES[19]+33.5000)/7.00000)))/((0.0513350*exp(((VARIABLES[19]+33.5000)/7.00000)))+1.00000));
VARIABLES[84] = (CONSTANTS[12]*VARIABLES[8]*VARIABLES[9]*(VARIABLES[19]-VARIABLES[79]));
VARIABLES[85] = (1.00000/(1.00000+exp(((-(VARIABLES[19]+22.5000))/7.70000))));
VARIABLES[86] = (1.00000/(1.00000+exp(((VARIABLES[19]+45.2000)/5.70000))));
VARIABLES[87] = (CONSTANTS[29]*VARIABLES[22]*VARIABLES[23]*(VARIABLES[19]-VARIABLES[79]));
VARIABLES[88] = ((39.3000*exp(((-0.0862000)*VARIABLES[19])))+13.1700);
VARIABLES[89] = (CONSTANTS[30]*VARIABLES[24]*(VARIABLES[19]-(((CONSTANTS[47]*CONSTANTS[48])/CONSTANTS[49])*log((((0.980000*CONSTANTS[26])+(0.0200000*CONSTANTS[27]))/((0.980000*VARIABLES[14])+(0.0200000*VARIABLES[0])))))));
VARIABLES[90] = (1.00000-(VARIABLES[25]+VARIABLES[26]+VARIABLES[24]+VARIABLES[27]));
VARIABLES[91] = (0.0223480*exp((0.0117600*VARIABLES[19])));
VARIABLES[92] = (0.0470020*exp(((-0.0631000)*VARIABLES[19])));
VARIABLES[93] = (0.0137330*exp((0.0381980*VARIABLES[19])));
VARIABLES[94] = (6.89000e-05*exp(((-0.0417800)*VARIABLES[19])));
VARIABLES[95] = (0.0908210*exp((0.0233910*(VARIABLES[19]+5.00000))));
VARIABLES[96] = (0.00649700*exp(((-0.0326800)*(VARIABLES[19]+5.00000))));
VARIABLES[97] = ((((CONSTANTS[60]*VARIABLES[109]*1.00000)/(1.00000+pow((CONSTANTS[61]/VARIABLES[0]),1.50000)))*CONSTANTS[26])/(CONSTANTS[26]+CONSTANTS[62]));
VARIABLES[98] = (CONSTANTS[42]*VARIABLES[28]*(VARIABLES[19]-CONSTANTS[41]));
VARIABLES[99] = (1.00000-(VARIABLES[28]+VARIABLES[29]+VARIABLES[29]+VARIABLES[30]+VARIABLES[31]+VARIABLES[32]+VARIABLES[33]+VARIABLES[34]));
VARIABLES[100] = ((0.400000*exp(((VARIABLES[19]+12.0000)/10.0000))*((1.00000+(0.700000*exp(((-pow((VARIABLES[19]+40.0000),2.00000))/10.0000))))-(0.750000*exp(((-pow((VARIABLES[19]+20.0000),2.00000))/400.000)))))/(1.00000+(0.120000*exp(((VARIABLES[19]+12.0000)/10.0000)))));
VARIABLES[101] = (0.0500000*exp(((-(VARIABLES[19]+12.0000))/13.0000)));
VARIABLES[102] = ((CONSTANTS[3]*VARIABLES[16])/(CONSTANTS[4]+VARIABLES[16]));
VARIABLES[44] = (1.00000-(VARIABLES[1]+VARIABLES[2]+VARIABLES[3]+VARIABLES[6]+VARIABLES[4]+VARIABLES[5]+VARIABLES[7]+VARIABLES[13]));
VARIABLES[45] = (13.0000*(1.00000-exp(((-pow((VARIABLES[19]+14.5000),2.00000))/100.000))));
VARIABLES[46] = ((CONSTANTS[5]*pow(VARIABLES[15],2.00000))/(pow(CONSTANTS[6],2.00000)+pow(VARIABLES[15],2.00000)));
VARIABLES[47] = (((((((CONSTANTS[7]*1.00000)/(pow(CONSTANTS[8],3.00000)+pow(CONSTANTS[27],3.00000)))*1.00000)/(CONSTANTS[9]+CONSTANTS[46]))*1.00000)/(1.00000+(CONSTANTS[10]*exp((((CONSTANTS[11]-1.00000)*VARIABLES[19]*CONSTANTS[49])/(CONSTANTS[47]*CONSTANTS[48]))))))*((exp(((CONSTANTS[11]*VARIABLES[19]*CONSTANTS[49])/(CONSTANTS[47]*CONSTANTS[48])))*pow(VARIABLES[0],3.00000)*CONSTANTS[46])-(exp((((CONSTANTS[11]-1.00000)*VARIABLES[19]*CONSTANTS[49])/(CONSTANTS[47]*CONSTANTS[48])))*pow(CONSTANTS[27],3.00000)*VARIABLES[15])));
VARIABLES[41] = (((CONSTANTS[47]*CONSTANTS[48])/(2.00000*CONSTANTS[49]))*log((CONSTANTS[46]/VARIABLES[15])));
VARIABLES[48] = (CONSTANTS[0]*(VARIABLES[19]-VARIABLES[41]));
VARIABLES[49] = ((0.493000*exp(((-0.0629000)*VARIABLES[19])))+2.05800);
VARIABLES[50] = (270.000+(1050.00/(1.00000+exp(((VARIABLES[19]+45.2000)/5.70000)))));
VARIABLES[51] = ((((0.293800*CONSTANTS[26])/(CONSTANTS[26]+210.000))*(VARIABLES[19]-VARIABLES[79]))/(1.00000+exp((0.0896000*(VARIABLES[19]-VARIABLES[79])))));
VARIABLES[52] = (CONSTANTS[13]*pow(VARIABLES[10],2.00000)*(VARIABLES[19]-VARIABLES[79]));
VARIABLES[53] = (4.81333e-06*(VARIABLES[19]+26.5000)*(1.00000-exp(((-0.128000)*(VARIABLES[19]+26.5000)))));
VARIABLES[54] = (9.53333e-05*exp(((-0.0380000)*(VARIABLES[19]+26.5000))));
VARIABLES[55] = (CONSTANTS[14]*VARIABLES[11]*VARIABLES[12]*(VARIABLES[19]-VARIABLES[79]));
VARIABLES[56] = ((0.493000*exp(((-0.0629000)*VARIABLES[19])))+2.05800);
VARIABLES[57] = (1200.00-(170.000/(1.00000+exp(((VARIABLES[19]+45.2000)/5.70000)))));
VARIABLES[58] = (3.80200/((0.102700*exp(((-(VARIABLES[19]+2.50000))/17.0000)))+(0.200000*exp(((-(VARIABLES[19]+2.50000))/150.000)))));
VARIABLES[59] = (0.191700*exp(((-(VARIABLES[19]+2.50000))/20.3000)));
VARIABLES[60] = (3.80200/((0.102700*exp(((-(VARIABLES[19]+2.50000))/15.0000)))+(0.230000*exp(((-(VARIABLES[19]+2.50000))/150.000)))));
VARIABLES[61] = (0.200000*exp(((-(VARIABLES[19]-2.50000))/20.3000)));
VARIABLES[62] = (3.80200/((0.102700*exp(((-(VARIABLES[19]+2.50000))/12.0000)))+(0.250000*exp(((-(VARIABLES[19]+2.50000))/150.000)))));
VARIABLES[63] = (0.220000*exp(((-(VARIABLES[19]-7.50000))/20.3000)));
VARIABLES[64] = (7.00000e-07*exp(((-(VARIABLES[19]+7.00000))/7.70000)));
VARIABLES[65] = (0.00840000+(2.00000e-05*(VARIABLES[19]+7.00000)));
VARIABLES[66] = (1.00000/((0.188495*exp(((-(VARIABLES[19]+7.00000))/16.6000)))+0.393956));
VARIABLES[67] = ((VARIABLES[62]*VARIABLES[66]*VARIABLES[64])/(VARIABLES[63]*VARIABLES[65]));
VARIABLES[68] = (VARIABLES[66]/1000.00);
VARIABLES[69] = VARIABLES[64];
VARIABLES[70] = (VARIABLES[66]/95000.0);
VARIABLES[71] = (VARIABLES[64]/50.0000);
VARIABLES[72] = (CONSTANTS[15]*(VARIABLES[19]-VARIABLES[43]));
VARIABLES[73] = pow((1.00000+((CONSTANTS[16]*CONSTANTS[18])/pow((CONSTANTS[18]+VARIABLES[15]),2.00000))),(-1.00000));
VARIABLES[74] = pow((1.00000+((CONSTANTS[16]*CONSTANTS[18])/pow((CONSTANTS[18]+VARIABLES[16]),2.00000))),(-1.00000));
VARIABLES[75] = pow((1.00000+((CONSTANTS[17]*CONSTANTS[19])/pow((CONSTANTS[19]+VARIABLES[17]),2.00000))),(-1.00000));
#ifndef VARIABLES_FOR_RATES_ONLY
#endif
}