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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 Kpcb(CONSTANTS[0])
    • Variable Kpc_max(CONSTANTS[1])
    • Variable Kpc_half(CONSTANTS[2])
    • Variable i_pCa(VARIABLES[41]; recomputed after rate changes)
    • Variable i_pCa_max(CONSTANTS[3])
    • Variable Km_pCa(CONSTANTS[4])
    • Variable i_NaCa(VARIABLES[42]; recomputed after rate changes)
    • Variable k_NaCa(CONSTANTS[5])
    • Variable K_mNa(CONSTANTS[6])
    • Variable K_mCa(CONSTANTS[7])
    • Variable k_sat(CONSTANTS[8])
    • Variable eta(CONSTANTS[9])
    • Variable i_Cab(VARIABLES[43]; recomputed after rate changes)
    • Variable g_Cab(CONSTANTS[10])
    • Variable E_CaN(VARIABLES[44]; recomputed after rate changes)
    • Variable k_minus_a(CONSTANTS[11])
    • Variable k_plus_b(CONSTANTS[12])
    • Variable k_minus_b(CONSTANTS[13])
    • Variable k_plus_c(CONSTANTS[14])
    • Variable k_minus_c(CONSTANTS[15])
    • Variable m(CONSTANTS[16])
    • Variable n(CONSTANTS[17])
    • Variable i_CaL(VARIABLES[45]; recomputed after rate changes)
    • Variable i_CaL_max(CONSTANTS[18])
    • Variable E_CaL(CONSTANTS[19])
    • Variable g_CaL(CONSTANTS[20])
    • Variable O(RATES[0] and VARIABLES[0])
    • Variable C1(VARIABLES[46]; recomputed after rate changes)
    • Variable C2(RATES[1] and VARIABLES[1])
    • Variable C3(RATES[2] and VARIABLES[2])
    • Variable C4(RATES[3] and VARIABLES[3])
    • Variable I1(RATES[4] and VARIABLES[4])
    • Variable I2(RATES[5] and VARIABLES[5])
    • Variable I3(RATES[6] and VARIABLES[6])
    • Variable alpha(VARIABLES[47]; recomputed after rate changes)
    • Variable beta(VARIABLES[48]; recomputed after rate changes)
    • Variable gamma(VARIABLES[49]; recomputed after rate changes)
    • Variable Kpcf(VARIABLES[50]; recomputed after rate changes)
    • Variable i_Kto_f(VARIABLES[51]; recomputed after rate changes)
    • Variable E_K(VARIABLES[52]; recomputed after rate changes)
    • Variable g_Kto_f(CONSTANTS[21])
    • Variable ato_f(RATES[7] and VARIABLES[7])
    • Variable ito_f(RATES[8] and VARIABLES[8])
    • Variable alpha_a(VARIABLES[53]; recomputed after rate changes)
    • Variable beta_a(VARIABLES[54]; recomputed after rate changes)
    • Variable alpha_i(VARIABLES[55]; recomputed after rate changes)
    • Variable beta_i(VARIABLES[56]; recomputed after rate changes)
    • Variable i_Kto_s(VARIABLES[57]; recomputed after rate changes)
    • Variable ass(VARIABLES[58]; recomputed after rate changes)
    • Variable iss(VARIABLES[59]; recomputed after rate changes)
    • Variable g_Kto_s(CONSTANTS[22])
    • Variable ato_s(RATES[9] and VARIABLES[9])
    • Variable ito_s(RATES[10] and VARIABLES[10])
    • Variable tau_ta_s(VARIABLES[60]; recomputed after rate changes)
    • Variable tau_ti_s(VARIABLES[61]; recomputed after rate changes)
    • Variable Nai(RATES[11] and VARIABLES[11])
    • Variable i_Na(VARIABLES[62]; recomputed after rate changes)
    • Variable E_Na(VARIABLES[63]; recomputed after rate changes)
    • Variable g_Na(CONSTANTS[23])
    • Variable O_Na(RATES[12] and VARIABLES[12])
    • Variable C_Na1(RATES[13] and VARIABLES[13])
    • Variable C_Na2(RATES[14] and VARIABLES[14])
    • Variable C_Na3(VARIABLES[64]; recomputed after rate changes)
    • Variable I1_Na(RATES[15] and VARIABLES[15])
    • Variable I2_Na(RATES[16] and VARIABLES[16])
    • Variable IF_Na(RATES[17] and VARIABLES[17])
    • Variable IC_Na2(RATES[18] and VARIABLES[18])
    • Variable IC_Na3(RATES[19] and VARIABLES[19])
    • Variable alpha_Na11(VARIABLES[65]; recomputed after rate changes)
    • Variable beta_Na11(VARIABLES[66]; recomputed after rate changes)
    • Variable alpha_Na12(VARIABLES[67]; recomputed after rate changes)
    • Variable beta_Na12(VARIABLES[68]; recomputed after rate changes)
    • Variable Cai(RATES[20] and VARIABLES[20])
    • Variable Cass(RATES[21] and VARIABLES[21])
    • Variable CaJSR(RATES[22] and VARIABLES[22])
    • Variable CaNSR(RATES[23] and VARIABLES[23])
    • Variable Bi(VARIABLES[69]; recomputed after rate changes)
    • Variable Bss(VARIABLES[70]; recomputed after rate changes)
    • Variable BJSR(VARIABLES[71]; recomputed after rate changes)
    • Variable CMDN_tot(CONSTANTS[24])
    • Variable CSQN_tot(CONSTANTS[25])
    • Variable Km_CMDN(CONSTANTS[26])
    • Variable Km_CSQN(CONSTANTS[27])
    • Variable LTRPN_tot(CONSTANTS[28])
    • Variable HTRPN_tot(CONSTANTS[29])
    • Variable LTRPN_Ca(RATES[24] and VARIABLES[24])
    • Variable HTRPN_Ca(RATES[25] and VARIABLES[25])
    • Variable P_O1(RATES[26] and VARIABLES[26])
    • Variable P_O2(RATES[27] and VARIABLES[27])
    • Variable P_C1(VARIABLES[72]; recomputed after rate changes)
    • Variable P_C2(RATES[28] and VARIABLES[28])
    • Variable k_plus_a(CONSTANTS[30])
    • Variable J_leak(VARIABLES[73]; recomputed after rate changes)
    • Variable J_rel(VARIABLES[74]; recomputed after rate changes)
    • Variable J_up(VARIABLES[75]; recomputed after rate changes)
    • Variable time(BOUND[0])
    • Variable V(RATES[29] and VARIABLES[29])
    • Variable Cm(CONSTANTS[31])
    • Variable Vmyo(CONSTANTS[32])
    • Variable VJSR(CONSTANTS[33])
    • Variable VNSR(CONSTANTS[34])
    • Variable Vss(CONSTANTS[35])
    • Variable Acap(CONSTANTS[36])
    • Variable Ko(CONSTANTS[37])
    • Variable Nao(CONSTANTS[38])
    • Variable Cao(CONSTANTS[39])
    • Variable alpha_Na13(VARIABLES[76]; recomputed after rate changes)
    • Variable beta_Na13(VARIABLES[77]; recomputed after rate changes)
    • Variable alpha_Na3(VARIABLES[78]; recomputed after rate changes)
    • Variable beta_Na3(VARIABLES[79]; recomputed after rate changes)
    • Variable alpha_Na2(VARIABLES[80]; recomputed after rate changes)
    • Variable beta_Na2(VARIABLES[81]; recomputed after rate changes)
    • Variable alpha_Na4(VARIABLES[82]; recomputed after rate changes)
    • Variable beta_Na4(VARIABLES[83]; recomputed after rate changes)
    • Variable alpha_Na5(VARIABLES[84]; recomputed after rate changes)
    • Variable beta_Na5(VARIABLES[85]; recomputed after rate changes)
    • Variable i_Nab(VARIABLES[86]; recomputed after rate changes)
    • Variable g_Nab(CONSTANTS[40])
    • Variable Ki(RATES[30] and VARIABLES[30])
    • Variable i_K1(VARIABLES[87]; recomputed after rate changes)
    • Variable i_Ks(VARIABLES[88]; recomputed after rate changes)
    • Variable g_Ks(CONSTANTS[41])
    • Variable nKs(RATES[31] and VARIABLES[31])
    • Variable alpha_n(VARIABLES[89]; recomputed after rate changes)
    • Variable beta_n(VARIABLES[90]; recomputed after rate changes)
    • Variable i_Kur(VARIABLES[91]; recomputed after rate changes)
    • Variable g_Kur(CONSTANTS[42])
    • Variable aur(RATES[32] and VARIABLES[32])
    • Variable iur(RATES[33] and VARIABLES[33])
    • Variable tau_aur(VARIABLES[92]; recomputed after rate changes)
    • Variable tau_iur(VARIABLES[93]; recomputed after rate changes)
    • Variable i_Kss(VARIABLES[94]; recomputed after rate changes)
    • Variable g_Kss(CONSTANTS[43])
    • Variable aKss(RATES[34] and VARIABLES[34])
    • Variable iKss(RATES[35] and VARIABLES[35])
    • Variable tau_Kss(VARIABLES[95]; recomputed after rate changes)
    • Variable i_Kr(VARIABLES[96]; recomputed after rate changes)
    • Variable g_Kr(CONSTANTS[44])
    • Variable O_K(RATES[36] and VARIABLES[36])
    • Variable C_K1(RATES[37] and VARIABLES[37])
    • Variable C_K2(RATES[38] and VARIABLES[38])
    • Variable C_K0(VARIABLES[97]; recomputed after rate changes)
    • Variable I_K(RATES[39] and VARIABLES[39])
    • Variable alpha_a0(VARIABLES[98]; recomputed after rate changes)
    • Variable beta_a0(VARIABLES[99]; recomputed after rate changes)
    • Variable kb(CONSTANTS[45])
    • Variable kf(CONSTANTS[46])
    • Variable alpha_a1(VARIABLES[100]; recomputed after rate changes)
    • Variable beta_a1(VARIABLES[101]; recomputed after rate changes)
    • Variable alpha_i(VARIABLES[102]; recomputed after rate changes)
    • Variable beta_i(VARIABLES[103]; recomputed after rate changes)
    • Variable i_NaK(VARIABLES[104]; recomputed after rate changes)
    • Variable i_NaK_max(CONSTANTS[47])
    • Variable Km_Nai(CONSTANTS[48])
    • Variable Km_Ko(CONSTANTS[49])
    • Variable f_NaK(VARIABLES[105]; recomputed after rate changes)
    • Variable sigma(VARIABLES[106]; computed once)
    • Variable i_ClCa(VARIABLES[107]; recomputed after rate changes)
    • Variable g_ClCa(CONSTANTS[50])
    • Variable O_ClCa(VARIABLES[108]; recomputed after rate changes)
    • Variable E_Cl(CONSTANTS[51])
    • Variable Km_Cl(CONSTANTS[52])
    • Variable R(CONSTANTS[53])
    • Variable T(CONSTANTS[54])
    • Variable F(CONSTANTS[55])
    • Variable i_stim(VARIABLES[109]; recomputed after rate changes)
    • Variable J_tr(VARIABLES[110]; recomputed after rate changes)
    • Variable J_trpn(VARIABLES[111]; recomputed after rate changes)
    • Variable J_xfer(VARIABLES[112]; recomputed after rate changes)
    • Variable k_plus_htrpn(CONSTANTS[56])
    • Variable k_minus_htrpn(CONSTANTS[57])
    • Variable k_plus_ltrpn(CONSTANTS[58])
    • Variable k_minus_ltrpn(CONSTANTS[59])
    • Variable P_RyR(RATES[40] and VARIABLES[40])
    • Variable v1(CONSTANTS[60])
    • Variable tau_tr(CONSTANTS[61])
    • Variable v2(CONSTANTS[62])
    • Variable tau_xfer(CONSTANTS[63])
    • Variable v3(CONSTANTS[64])
    • Variable Km_up(CONSTANTS[65])
  • No equation needed for Newton-Raphson evaluation.
void SetupFixedConstants(double* CONSTANTS)
{
CONSTANTS[0] = 0.0005;
CONSTANTS[1] = 0.23324;
CONSTANTS[2] = 20;
CONSTANTS[3] = 1;
CONSTANTS[4] = 0.5;
CONSTANTS[5] = 292.8;
CONSTANTS[6] = 87500;
CONSTANTS[7] = 1380;
CONSTANTS[8] = 0.1;
CONSTANTS[9] = 0.35;
CONSTANTS[10] = 0.000367;
CONSTANTS[11] = 0.07125;
CONSTANTS[12] = 0.00405;
CONSTANTS[13] = 0.965;
CONSTANTS[14] = 0.009;
CONSTANTS[15] = 0.0008;
CONSTANTS[16] = 3;
CONSTANTS[17] = 4;
CONSTANTS[18] = 7;
CONSTANTS[19] = 63;
CONSTANTS[20] = 0.1729;
CONSTANTS[21] = 0.0798;
CONSTANTS[22] = 0.0629;
CONSTANTS[23] = 13;
CONSTANTS[24] = 50;
CONSTANTS[25] = 15000;
CONSTANTS[26] = 0.238;
CONSTANTS[27] = 800;
CONSTANTS[28] = 70;
CONSTANTS[29] = 140;
CONSTANTS[30] = 0.006075;
CONSTANTS[31] = 1;
CONSTANTS[32] = 2.584e-05;
CONSTANTS[33] = 1.2e-07;
CONSTANTS[34] = 2.098e-06;
CONSTANTS[35] = 1.485e-09;
CONSTANTS[36] = 0.0001534;
CONSTANTS[37] = 5400;
CONSTANTS[38] = 140000;
CONSTANTS[39] = 1800;
CONSTANTS[40] = 0.0026;
CONSTANTS[41] = 0.00575;
CONSTANTS[42] = 0.0975;
CONSTANTS[43] = 0.0324;
CONSTANTS[44] = 0.078;
CONSTANTS[45] = 0.036778;
CONSTANTS[46] = 0.023761;
CONSTANTS[47] = 0.88;
CONSTANTS[48] = 21000;
CONSTANTS[49] = 1500;
CONSTANTS[50] = 10;
CONSTANTS[51] = -40;
CONSTANTS[52] = 10;
CONSTANTS[53] = 8.314;
CONSTANTS[54] = 298;
CONSTANTS[55] = 96.5;
CONSTANTS[56] = 0.00237;
CONSTANTS[57] = 3.2e-05;
CONSTANTS[58] = 0.0327;
CONSTANTS[59] = 0.0196;
CONSTANTS[60] = 4.5;
CONSTANTS[61] = 20;
CONSTANTS[62] = 1.74e-05;
CONSTANTS[63] = 8;
CONSTANTS[64] = 0.45;
CONSTANTS[65] = 0.5;
}

void SetupComputedConstants(double* CONSTANTS, double* VARIABLES)
{
VARIABLES[106] = ((1.00000/7.00000)*(exp((CONSTANTS[38]/67300.0))-1.00000));
VARIABLES[0] = 9.30308e-19;
VARIABLES[1] = 0.000124216;
VARIABLES[2] = 5.78679e-09;
VARIABLES[3] = 1.19816e-13;
VARIABLES[4] = 4.97923e-19;
VARIABLES[5] = 3.45847e-14;
VARIABLES[6] = 1.85106e-14;
VARIABLES[7] = 0.00265563;
VARIABLES[8] = 0.999977;
VARIABLES[9] = 0.000417069;
VARIABLES[10] = 0.998543;
VARIABLES[11] = 14237.1;
VARIABLES[12] = 7.13483e-07;
VARIABLES[13] = 0.000279132;
VARIABLES[14] = 0.0207520;
VARIABLES[15] = 6.73345e-07;
VARIABLES[16] = 1.55787e-09;
VARIABLES[17] = 0.000153176;
VARIABLES[18] = 0.0113879;
VARIABLES[19] = 0.342780;
VARIABLES[20] = 0.115001;
VARIABLES[21] = 0.115001;
VARIABLES[22] = 1299.50;
VARIABLES[23] = 1299.50;
VARIABLES[24] = 11.2684;
VARIABLES[25] = 125.290;
VARIABLES[26] = 1.49102e-05;
VARIABLES[27] = 9.51726e-11;
VARIABLES[28] = 0.000167740;
VARIABLES[29] = -82.4202;
VARIABLES[30] = 143720.;
VARIABLES[31] = 0.000262753;
VARIABLES[32] = 0.000417069;
VARIABLES[33] = 0.998543;
VARIABLES[34] = 0.000417069;
VARIABLES[35] = 1.00000;
VARIABLES[36] = 0.000175298;
VARIABLES[37] = 0.000992513;
VARIABLES[38] = 0.000641229;
VARIABLES[39] = 3.19129e-05;
VARIABLES[40] = 0.00000;
}

void ComputeRates(double* BOUND, double* RATES, double* CONSTANTS, double* VARIABLES)
{
RATES[29] = ((-(VARIABLES[45]+VARIABLES[41]+VARIABLES[42]+VARIABLES[43]+VARIABLES[62]+VARIABLES[86]+VARIABLES[104]+VARIABLES[51]+VARIABLES[57]+VARIABLES[87]+VARIABLES[88]+VARIABLES[91]+VARIABLES[94]+VARIABLES[96]+VARIABLES[107]+VARIABLES[109]))/CONSTANTS[31]);
RATES[20] = (VARIABLES[69]*((VARIABLES[73]+VARIABLES[112])-(VARIABLES[75]+VARIABLES[111]+((((VARIABLES[43]+VARIABLES[41])-(2.00000*VARIABLES[42]))*CONSTANTS[36]*CONSTANTS[31])/(2.00000*CONSTANTS[32]*CONSTANTS[55])))));
RATES[21] = (VARIABLES[70]*(((VARIABLES[74]*CONSTANTS[33])/CONSTANTS[35])-(((VARIABLES[112]*CONSTANTS[32])/CONSTANTS[35])+((VARIABLES[45]*CONSTANTS[36]*CONSTANTS[31])/(2.00000*CONSTANTS[35]*CONSTANTS[55])))));
RATES[22] = (VARIABLES[71]*(VARIABLES[110]-VARIABLES[74]));
RATES[23] = ((((VARIABLES[75]-VARIABLES[73])*CONSTANTS[32])/CONSTANTS[34])-((VARIABLES[110]*CONSTANTS[33])/CONSTANTS[34]));
RATES[40] = (((-0.0400000)*VARIABLES[40])-(((0.100000*VARIABLES[45])/CONSTANTS[18])*exp(((-pow((VARIABLES[29]-5.00000),2.00000))/648.000))));
RATES[24] = ((CONSTANTS[58]*VARIABLES[20]*(CONSTANTS[28]-VARIABLES[24]))-(CONSTANTS[59]*VARIABLES[24]));
RATES[25] = ((CONSTANTS[56]*VARIABLES[20]*(CONSTANTS[29]-VARIABLES[25]))-(CONSTANTS[57]*VARIABLES[25]));
RATES[26] = (((CONSTANTS[30]*pow(VARIABLES[21],CONSTANTS[17])*VARIABLES[72])+(CONSTANTS[13]*VARIABLES[27])+(CONSTANTS[15]*VARIABLES[28]))-((CONSTANTS[11]*VARIABLES[26])+(CONSTANTS[12]*pow(VARIABLES[21],CONSTANTS[16])*VARIABLES[26])+(CONSTANTS[14]*VARIABLES[26])));
RATES[27] = ((CONSTANTS[12]*pow(VARIABLES[21],CONSTANTS[16])*VARIABLES[26])-(CONSTANTS[13]*VARIABLES[27]));
RATES[28] = ((CONSTANTS[14]*VARIABLES[26])-(CONSTANTS[15]*VARIABLES[28]));
RATES[0] = (((VARIABLES[47]*VARIABLES[3])+(CONSTANTS[0]*VARIABLES[4])+(0.00100000*((VARIABLES[47]*VARIABLES[5])-(VARIABLES[50]*VARIABLES[0]))))-((4.00000*VARIABLES[48]*VARIABLES[0])+(VARIABLES[49]*VARIABLES[0])));
RATES[1] = (((4.00000*VARIABLES[47]*VARIABLES[46])+(2.00000*VARIABLES[48]*VARIABLES[2]))-((VARIABLES[48]*VARIABLES[1])+(3.00000*VARIABLES[47]*VARIABLES[1])));
RATES[2] = (((3.00000*VARIABLES[47]*VARIABLES[1])+(3.00000*VARIABLES[48]*VARIABLES[3]))-((2.00000*VARIABLES[48]*VARIABLES[2])+(2.00000*VARIABLES[47]*VARIABLES[2])));
RATES[3] = (((2.00000*VARIABLES[47]*VARIABLES[2])+(4.00000*VARIABLES[48]*VARIABLES[0])+(0.0100000*((4.00000*CONSTANTS[0]*VARIABLES[48]*VARIABLES[4])-(VARIABLES[47]*VARIABLES[49]*VARIABLES[3])))+(0.00200000*((4.00000*VARIABLES[48]*VARIABLES[5])-(VARIABLES[50]*VARIABLES[3])))+(4.00000*VARIABLES[48]*CONSTANTS[0]*VARIABLES[6]))-((3.00000*VARIABLES[48]*VARIABLES[3])+(VARIABLES[47]*VARIABLES[3])+(VARIABLES[49]*VARIABLES[50]*VARIABLES[3])));
RATES[4] = (((VARIABLES[49]*VARIABLES[0])+(0.00100000*((VARIABLES[47]*VARIABLES[6])-(VARIABLES[50]*VARIABLES[4])))+(0.0100000*((VARIABLES[47]*VARIABLES[49]*VARIABLES[3])-(4.00000*VARIABLES[48]*VARIABLES[50]*VARIABLES[4]))))-(CONSTANTS[0]*VARIABLES[4]));
RATES[5] = (((0.00100000*((VARIABLES[50]*VARIABLES[0])-(VARIABLES[47]*VARIABLES[5])))+(CONSTANTS[0]*VARIABLES[6])+(0.00200000*((VARIABLES[50]*VARIABLES[3])-(4.00000*VARIABLES[48]*VARIABLES[5]))))-(VARIABLES[49]*VARIABLES[5]));
RATES[6] = (((0.00100000*((VARIABLES[50]*VARIABLES[4])-(VARIABLES[47]*VARIABLES[6])))+(VARIABLES[49]*VARIABLES[5])+(VARIABLES[49]*VARIABLES[50]*VARIABLES[3]))-((4.00000*VARIABLES[48]*CONSTANTS[0]*VARIABLES[6])+(CONSTANTS[0]*VARIABLES[6])));
RATES[11] = (((-(VARIABLES[62]+VARIABLES[86]+(3.00000*VARIABLES[104])+(3.00000*VARIABLES[42])))*CONSTANTS[36]*CONSTANTS[31])/(CONSTANTS[32]*CONSTANTS[55]));
RATES[14] = (((VARIABLES[65]*VARIABLES[64])+(VARIABLES[68]*VARIABLES[13])+(VARIABLES[78]*VARIABLES[18]))-((VARIABLES[66]*VARIABLES[14])+(VARIABLES[67]*VARIABLES[14])+(VARIABLES[79]*VARIABLES[14])));
RATES[13] = (((VARIABLES[67]*VARIABLES[14])+(VARIABLES[77]*VARIABLES[12])+(VARIABLES[78]*VARIABLES[17]))-((VARIABLES[68]*VARIABLES[13])+(VARIABLES[76]*VARIABLES[13])+(VARIABLES[79]*VARIABLES[13])));
RATES[12] = (((VARIABLES[76]*VARIABLES[13])+(VARIABLES[81]*VARIABLES[17]))-((VARIABLES[77]*VARIABLES[12])+(VARIABLES[80]*VARIABLES[12])));
RATES[17] = (((VARIABLES[80]*VARIABLES[12])+(VARIABLES[79]*VARIABLES[13])+(VARIABLES[83]*VARIABLES[15])+(VARIABLES[67]*VARIABLES[18]))-((VARIABLES[81]*VARIABLES[17])+(VARIABLES[78]*VARIABLES[17])+(VARIABLES[82]*VARIABLES[17])+(VARIABLES[68]*VARIABLES[17])));
RATES[15] = (((VARIABLES[82]*VARIABLES[17])+(VARIABLES[85]*VARIABLES[16]))-((VARIABLES[83]*VARIABLES[15])+(VARIABLES[84]*VARIABLES[15])));
RATES[16] = ((VARIABLES[84]*VARIABLES[15])-(VARIABLES[85]*VARIABLES[16]));
RATES[18] = (((VARIABLES[65]*VARIABLES[19])+(VARIABLES[68]*VARIABLES[17])+(VARIABLES[79]*VARIABLES[18]))-((VARIABLES[66]*VARIABLES[18])+(VARIABLES[67]*VARIABLES[18])+(VARIABLES[78]*VARIABLES[18])));
RATES[19] = (((VARIABLES[66]*VARIABLES[18])+(VARIABLES[79]*VARIABLES[64]))-((VARIABLES[65]*VARIABLES[19])+(VARIABLES[78]*VARIABLES[19])));
RATES[30] = (((-((VARIABLES[51]+VARIABLES[57]+VARIABLES[87]+VARIABLES[88]+VARIABLES[94]+VARIABLES[91]+VARIABLES[96])-(2.00000*VARIABLES[104])))*CONSTANTS[36]*CONSTANTS[31])/(CONSTANTS[32]*CONSTANTS[55]));
RATES[7] = ((VARIABLES[53]*(1.00000-VARIABLES[7]))-(VARIABLES[54]*VARIABLES[7]));
RATES[8] = ((VARIABLES[55]*(1.00000-VARIABLES[8]))-(VARIABLES[56]*VARIABLES[8]));
RATES[9] = ((VARIABLES[58]-VARIABLES[9])/VARIABLES[60]);
RATES[10] = ((VARIABLES[59]-VARIABLES[10])/VARIABLES[61]);
RATES[31] = ((VARIABLES[89]*(1.00000-VARIABLES[31]))-(VARIABLES[90]*VARIABLES[31]));
RATES[32] = ((VARIABLES[58]-VARIABLES[32])/VARIABLES[92]);
RATES[33] = ((VARIABLES[59]-VARIABLES[33])/VARIABLES[93]);
RATES[34] = ((VARIABLES[58]-VARIABLES[34])/VARIABLES[95]);
RATES[35] = 0.00000;
RATES[38] = (((CONSTANTS[46]*VARIABLES[37])+(VARIABLES[101]*VARIABLES[36]))-((CONSTANTS[45]*VARIABLES[38])+(VARIABLES[100]*VARIABLES[38])));
RATES[37] = (((VARIABLES[98]*VARIABLES[97])+(CONSTANTS[45]*VARIABLES[38]))-((VARIABLES[99]*VARIABLES[37])+(CONSTANTS[46]*VARIABLES[37])));
RATES[36] = (((VARIABLES[100]*VARIABLES[38])+(VARIABLES[103]*VARIABLES[39]))-((VARIABLES[101]*VARIABLES[36])+(VARIABLES[102]*VARIABLES[36])));
RATES[39] = ((VARIABLES[102]*VARIABLES[36])-(VARIABLES[103]*VARIABLES[39]));
}

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