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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 I1_Na(RATES[0] and VARIABLES[0])
    • Variable I2_Na(RATES[1] and VARIABLES[1])
    • Variable IF_Na(RATES[2] and VARIABLES[2])
    • Variable IC_Na2(RATES[3] and VARIABLES[3])
    • Variable IC_Na3(RATES[4] and VARIABLES[4])
    • Variable alpha_Na11(VARIABLES[41]; recomputed after rate changes)
    • Variable beta_Na11(VARIABLES[42]; recomputed after rate changes)
    • Variable alpha_Na12(VARIABLES[43]; recomputed after rate changes)
    • Variable beta_Na12(VARIABLES[44]; recomputed after rate changes)
    • Variable alpha_Na13(VARIABLES[45]; recomputed after rate changes)
    • Variable beta_Na13(VARIABLES[46]; recomputed after rate changes)
    • Variable alpha_Na3(VARIABLES[47]; recomputed after rate changes)
    • Variable beta_Na3(VARIABLES[48]; recomputed after rate changes)
    • Variable alpha_Na2(VARIABLES[49]; recomputed after rate changes)
    • Variable beta_Na2(VARIABLES[50]; recomputed after rate changes)
    • Variable alpha_Na4(VARIABLES[51]; recomputed after rate changes)
    • Variable beta_Na4(VARIABLES[52]; recomputed after rate changes)
    • Variable alpha_Na5(VARIABLES[53]; recomputed after rate changes)
    • Variable beta_Na5(VARIABLES[54]; recomputed after rate changes)
    • Variable i_Nab(VARIABLES[55]; recomputed after rate changes)
    • Variable g_Nab(CONSTANTS[0])
    • Variable gamma(VARIABLES[56]; recomputed after rate changes)
    • Variable Kpcf(VARIABLES[57]; recomputed after rate changes)
    • Variable Kpcb(CONSTANTS[1])
    • Variable Kpc_max(CONSTANTS[2])
    • Variable Kpc_half(CONSTANTS[3])
    • Variable i_pCa(VARIABLES[58]; recomputed after rate changes)
    • Variable i_pCa_max(CONSTANTS[4])
    • Variable Km_pCa(CONSTANTS[5])
    • Variable i_NaCa(VARIABLES[59]; recomputed after rate changes)
    • Variable k_NaCa(CONSTANTS[6])
    • Variable K_mNa(CONSTANTS[7])
    • Variable K_mCa(CONSTANTS[8])
    • Variable k_sat(CONSTANTS[9])
    • Variable eta(CONSTANTS[10])
    • Variable i_Kto_s(VARIABLES[60]; recomputed after rate changes)
    • Variable ass(VARIABLES[61]; recomputed after rate changes)
    • Variable iss(VARIABLES[62]; recomputed after rate changes)
    • Variable g_Kto_s(CONSTANTS[11])
    • Variable ato_s(RATES[5] and VARIABLES[5])
    • Variable ito_s(RATES[6] and VARIABLES[6])
    • Variable tau_ta_s(VARIABLES[63]; recomputed after rate changes)
    • Variable tau_ti_s(VARIABLES[64]; recomputed after rate changes)
    • Variable i_K1(VARIABLES[65]; recomputed after rate changes)
    • Variable i_Ks(VARIABLES[66]; recomputed after rate changes)
    • Variable g_Ks(CONSTANTS[12])
    • Variable nKs(RATES[7] and VARIABLES[7])
    • Variable alpha_n(VARIABLES[67]; recomputed after rate changes)
    • Variable beta_n(VARIABLES[68]; recomputed after rate changes)
    • Variable i_Kur(VARIABLES[69]; recomputed after rate changes)
    • Variable g_Kur(CONSTANTS[13])
    • Variable aur(RATES[8] and VARIABLES[8])
    • Variable iur(RATES[9] and VARIABLES[9])
    • Variable Ki(RATES[10] and VARIABLES[10])
    • Variable i_Kto_f(VARIABLES[70]; recomputed after rate changes)
    • Variable E_K(VARIABLES[71]; recomputed after rate changes)
    • Variable g_Kto_f(CONSTANTS[14])
    • Variable ato_f(RATES[11] and VARIABLES[11])
    • Variable ito_f(RATES[12] and VARIABLES[12])
    • Variable alpha_a(VARIABLES[72]; recomputed after rate changes)
    • Variable beta_a(VARIABLES[73]; recomputed after rate changes)
    • Variable alpha_i(VARIABLES[74]; recomputed after rate changes)
    • Variable beta_i(VARIABLES[75]; recomputed after rate changes)
    • Variable stim_end(CONSTANTS[15])
    • Variable stim_period(CONSTANTS[16])
    • Variable stim_duration(CONSTANTS[17])
    • Variable stim_amplitude(CONSTANTS[18])
    • Variable Cai(RATES[13] and VARIABLES[13])
    • Variable Cass(RATES[14] and VARIABLES[14])
    • Variable CaJSR(RATES[15] and VARIABLES[15])
    • Variable CaNSR(RATES[16] and VARIABLES[16])
    • Variable Bi(VARIABLES[76]; recomputed after rate changes)
    • Variable Bss(VARIABLES[77]; recomputed after rate changes)
    • Variable BJSR(VARIABLES[78]; recomputed after rate changes)
    • Variable CMDN_tot(CONSTANTS[19])
    • Variable CSQN_tot(CONSTANTS[20])
    • Variable Km_CMDN(CONSTANTS[21])
    • Variable Km_CSQN(CONSTANTS[22])
    • Variable J_leak(VARIABLES[79]; recomputed after rate changes)
    • Variable J_rel(VARIABLES[80]; recomputed after rate changes)
    • Variable J_up(VARIABLES[81]; recomputed after rate changes)
    • Variable time(BOUND[0])
    • Variable V(RATES[17] and VARIABLES[17])
    • Variable Cm(CONSTANTS[23])
    • Variable Vmyo(CONSTANTS[24])
    • Variable VJSR(CONSTANTS[25])
    • Variable VNSR(CONSTANTS[26])
    • Variable Vss(CONSTANTS[27])
    • Variable Acap(CONSTANTS[28])
    • Variable Ko(CONSTANTS[29])
    • Variable Nao(CONSTANTS[30])
    • Variable Cao(CONSTANTS[31])
    • Variable R(CONSTANTS[32])
    • Variable T(CONSTANTS[33])
    • Variable F(CONSTANTS[34])
    • Variable i_stim(VARIABLES[82]; recomputed after rate changes)
    • Variable tau_aur(VARIABLES[83]; recomputed after rate changes)
    • Variable tau_iur(VARIABLES[84]; recomputed after rate changes)
    • Variable i_Kss(VARIABLES[85]; recomputed after rate changes)
    • Variable g_Kss(CONSTANTS[35])
    • Variable aKss(RATES[18] and VARIABLES[18])
    • Variable iKss(RATES[19] and VARIABLES[19])
    • Variable tau_Kss(VARIABLES[86]; recomputed after rate changes)
    • Variable i_Kr(VARIABLES[87]; recomputed after rate changes)
    • Variable g_Kr(CONSTANTS[36])
    • Variable O_K(RATES[20] and VARIABLES[20])
    • Variable C_K1(RATES[21] and VARIABLES[21])
    • Variable C_K2(RATES[22] and VARIABLES[22])
    • Variable C_K0(VARIABLES[88]; recomputed after rate changes)
    • Variable I_K(RATES[23] and VARIABLES[23])
    • Variable alpha_a0(VARIABLES[89]; recomputed after rate changes)
    • Variable beta_a0(VARIABLES[90]; recomputed after rate changes)
    • Variable kb(CONSTANTS[37])
    • Variable kf(CONSTANTS[38])
    • Variable alpha_a1(VARIABLES[91]; recomputed after rate changes)
    • Variable beta_a1(VARIABLES[92]; recomputed after rate changes)
    • Variable alpha_i(VARIABLES[93]; recomputed after rate changes)
    • Variable beta_i(VARIABLES[94]; recomputed after rate changes)
    • Variable i_Cab(VARIABLES[95]; recomputed after rate changes)
    • Variable g_Cab(CONSTANTS[39])
    • Variable E_CaN(VARIABLES[96]; recomputed after rate changes)
    • Variable Nai(RATES[24] and VARIABLES[24])
    • Variable i_Na(VARIABLES[97]; recomputed after rate changes)
    • Variable E_Na(VARIABLES[98]; recomputed after rate changes)
    • Variable g_Na(CONSTANTS[40])
    • Variable O_Na(RATES[25] and VARIABLES[25])
    • Variable C_Na1(RATES[26] and VARIABLES[26])
    • Variable C_Na2(RATES[27] and VARIABLES[27])
    • Variable C_Na3(VARIABLES[99]; recomputed after rate changes)
    • Variable LTRPN_tot(CONSTANTS[41])
    • Variable HTRPN_tot(CONSTANTS[42])
    • Variable LTRPN_Ca(RATES[28] and VARIABLES[28])
    • Variable HTRPN_Ca(RATES[29] and VARIABLES[29])
    • Variable P_O1(RATES[30] and VARIABLES[30])
    • Variable P_O2(RATES[31] and VARIABLES[31])
    • Variable P_C1(VARIABLES[100]; recomputed after rate changes)
    • Variable P_C2(RATES[32] and VARIABLES[32])
    • Variable k_plus_a(CONSTANTS[43])
    • Variable k_minus_a(CONSTANTS[44])
    • Variable k_plus_b(CONSTANTS[45])
    • Variable k_minus_b(CONSTANTS[46])
    • Variable k_plus_c(CONSTANTS[47])
    • Variable k_minus_c(CONSTANTS[48])
    • Variable m(CONSTANTS[49])
    • Variable n(CONSTANTS[50])
    • Variable i_CaL(VARIABLES[101]; recomputed after rate changes)
    • Variable i_CaL_max(CONSTANTS[51])
    • Variable E_CaL(CONSTANTS[52])
    • Variable g_CaL(CONSTANTS[53])
    • Variable O(RATES[33] and VARIABLES[33])
    • Variable C1(VARIABLES[102]; recomputed after rate changes)
    • Variable C2(RATES[34] and VARIABLES[34])
    • Variable C3(RATES[35] and VARIABLES[35])
    • Variable C4(RATES[36] and VARIABLES[36])
    • Variable I1(RATES[37] and VARIABLES[37])
    • Variable I2(RATES[38] and VARIABLES[38])
    • Variable I3(RATES[39] and VARIABLES[39])
    • Variable alpha(VARIABLES[103]; recomputed after rate changes)
    • Variable beta(VARIABLES[104]; recomputed after rate changes)
    • Variable i_NaK(VARIABLES[105]; recomputed after rate changes)
    • Variable i_NaK_max(CONSTANTS[54])
    • Variable Km_Nai(CONSTANTS[55])
    • Variable Km_Ko(CONSTANTS[56])
    • Variable f_NaK(VARIABLES[106]; recomputed after rate changes)
    • Variable sigma(VARIABLES[107]; computed once)
    • Variable i_ClCa(VARIABLES[108]; recomputed after rate changes)
    • Variable g_ClCa(CONSTANTS[57])
    • Variable O_ClCa(VARIABLES[109]; recomputed after rate changes)
    • Variable E_Cl(CONSTANTS[58])
    • Variable Km_Cl(CONSTANTS[59])
    • Variable stim_start(CONSTANTS[60])
    • 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[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] = 0.0026;
CONSTANTS[1] = 0.0005;
CONSTANTS[2] = 0.23324;
CONSTANTS[3] = 20;
CONSTANTS[4] = 1;
CONSTANTS[5] = 0.5;
CONSTANTS[6] = 292.8;
CONSTANTS[7] = 87500;
CONSTANTS[8] = 1380;
CONSTANTS[9] = 0.1;
CONSTANTS[10] = 0.35;
CONSTANTS[11] = 0;
CONSTANTS[12] = 0.00575;
CONSTANTS[13] = 0.16;
CONSTANTS[14] = 0.4067;
CONSTANTS[15] = 100000;
CONSTANTS[16] = 71.43;
CONSTANTS[17] = 0.5;
CONSTANTS[18] = -80;
CONSTANTS[19] = 50;
CONSTANTS[20] = 15000;
CONSTANTS[21] = 0.238;
CONSTANTS[22] = 800;
CONSTANTS[23] = 1;
CONSTANTS[24] = 2.584e-05;
CONSTANTS[25] = 1.2e-07;
CONSTANTS[26] = 2.098e-06;
CONSTANTS[27] = 1.485e-09;
CONSTANTS[28] = 0.0001534;
CONSTANTS[29] = 5400;
CONSTANTS[30] = 140000;
CONSTANTS[31] = 1800;
CONSTANTS[32] = 8.314;
CONSTANTS[33] = 298;
CONSTANTS[34] = 96.5;
CONSTANTS[35] = 0.05;
CONSTANTS[36] = 0.078;
CONSTANTS[37] = 0.036778;
CONSTANTS[38] = 0.023761;
CONSTANTS[39] = 0.000367;
CONSTANTS[40] = 13;
CONSTANTS[41] = 70;
CONSTANTS[42] = 140;
CONSTANTS[43] = 0.006075;
CONSTANTS[44] = 0.07125;
CONSTANTS[45] = 0.00405;
CONSTANTS[46] = 0.965;
CONSTANTS[47] = 0.009;
CONSTANTS[48] = 0.0008;
CONSTANTS[49] = 3;
CONSTANTS[50] = 4;
CONSTANTS[51] = 7;
CONSTANTS[52] = 63;
CONSTANTS[53] = 0.1729;
CONSTANTS[54] = 0.88;
CONSTANTS[55] = 21000;
CONSTANTS[56] = 1500;
CONSTANTS[57] = 10;
CONSTANTS[58] = -40;
CONSTANTS[59] = 10;
CONSTANTS[60] = 20;
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[107] = ((1.00000/7.00000)*(exp((CONSTANTS[30]/67300.0))-1.00000));
VARIABLES[0] = 6.73345e-07;
VARIABLES[1] = 1.55787e-09;
VARIABLES[2] = 0.000153176;
VARIABLES[3] = 0.0113879;
VARIABLES[4] = 0.342780;
VARIABLES[5] = 0.000417069;
VARIABLES[6] = 0.998543;
VARIABLES[7] = 0.000262753;
VARIABLES[8] = 0.000417069;
VARIABLES[9] = 0.998543;
VARIABLES[10] = 143720.;
VARIABLES[11] = 0.00265563;
VARIABLES[12] = 0.999977;
VARIABLES[13] = 0.115001;
VARIABLES[14] = 0.115001;
VARIABLES[15] = 1299.50;
VARIABLES[16] = 1299.50;
VARIABLES[17] = -82.4202;
VARIABLES[18] = 0.000417069;
VARIABLES[19] = 1.00000;
VARIABLES[20] = 0.000175298;
VARIABLES[21] = 0.000992513;
VARIABLES[22] = 0.000641229;
VARIABLES[23] = 3.19129e-05;
VARIABLES[24] = 14237.1;
VARIABLES[25] = 7.13483e-07;
VARIABLES[26] = 0.000279132;
VARIABLES[27] = 0.0207520;
VARIABLES[28] = 11.2684;
VARIABLES[29] = 125.290;
VARIABLES[30] = 1.49102e-05;
VARIABLES[31] = 9.51726e-11;
VARIABLES[32] = 0.000167740;
VARIABLES[33] = 9.30308e-19;
VARIABLES[34] = 0.000124216;
VARIABLES[35] = 5.78679e-09;
VARIABLES[36] = 1.19816e-13;
VARIABLES[37] = 4.97923e-19;
VARIABLES[38] = 3.45847e-14;
VARIABLES[39] = 1.85106e-14;
VARIABLES[40] = 0.00000;
}

void ComputeRates(double* BOUND, double* RATES, double* CONSTANTS, double* VARIABLES)
{
RATES[17] = (-(VARIABLES[101]+VARIABLES[58]+VARIABLES[59]+VARIABLES[95]+VARIABLES[97]+VARIABLES[55]+VARIABLES[105]+VARIABLES[70]+VARIABLES[60]+VARIABLES[65]+VARIABLES[66]+VARIABLES[69]+VARIABLES[85]+VARIABLES[87]+VARIABLES[108]+VARIABLES[82]));
RATES[13] = (VARIABLES[76]*((VARIABLES[79]+VARIABLES[112])-(VARIABLES[81]+VARIABLES[111]+((((VARIABLES[95]+VARIABLES[58])-(2.00000*VARIABLES[59]))*CONSTANTS[28]*CONSTANTS[23])/(2.00000*CONSTANTS[24]*CONSTANTS[34])))));
RATES[14] = (VARIABLES[77]*(((VARIABLES[80]*CONSTANTS[25])/CONSTANTS[27])-(((VARIABLES[112]*CONSTANTS[24])/CONSTANTS[27])+((VARIABLES[101]*CONSTANTS[28]*CONSTANTS[23])/(2.00000*CONSTANTS[27]*CONSTANTS[34])))));
RATES[15] = (VARIABLES[78]*(VARIABLES[110]-VARIABLES[80]));
RATES[16] = ((((VARIABLES[81]-VARIABLES[79])*CONSTANTS[24])/CONSTANTS[26])-((VARIABLES[110]*CONSTANTS[25])/CONSTANTS[26]));
RATES[40] = (((-0.0400000)*VARIABLES[40])-(((0.100000*VARIABLES[101])/CONSTANTS[51])*exp(((-pow((VARIABLES[17]-5.00000),2.00000))/648.000))));
RATES[28] = ((CONSTANTS[63]*VARIABLES[13]*(CONSTANTS[41]-VARIABLES[28]))-(CONSTANTS[64]*VARIABLES[28]));
RATES[29] = ((CONSTANTS[61]*VARIABLES[13]*(CONSTANTS[42]-VARIABLES[29]))-(CONSTANTS[62]*VARIABLES[29]));
RATES[30] = (((CONSTANTS[43]*pow(VARIABLES[14],CONSTANTS[50])*VARIABLES[100])+(CONSTANTS[46]*VARIABLES[31])+(CONSTANTS[48]*VARIABLES[32]))-((CONSTANTS[44]*VARIABLES[30])+(CONSTANTS[45]*pow(VARIABLES[14],CONSTANTS[49])*VARIABLES[30])+(CONSTANTS[47]*VARIABLES[30])));
RATES[31] = ((CONSTANTS[45]*pow(VARIABLES[14],CONSTANTS[49])*VARIABLES[30])-(CONSTANTS[46]*VARIABLES[31]));
RATES[32] = ((CONSTANTS[47]*VARIABLES[30])-(CONSTANTS[48]*VARIABLES[32]));
RATES[33] = (((VARIABLES[103]*VARIABLES[36])+(CONSTANTS[1]*VARIABLES[37])+(0.00100000*((VARIABLES[103]*VARIABLES[38])-(VARIABLES[57]*VARIABLES[33]))))-((4.00000*VARIABLES[104]*VARIABLES[33])+(VARIABLES[56]*VARIABLES[33])));
RATES[34] = (((4.00000*VARIABLES[103]*VARIABLES[102])+(2.00000*VARIABLES[104]*VARIABLES[35]))-((VARIABLES[104]*VARIABLES[34])+(3.00000*VARIABLES[103]*VARIABLES[34])));
RATES[35] = (((3.00000*VARIABLES[103]*VARIABLES[34])+(3.00000*VARIABLES[104]*VARIABLES[36]))-((2.00000*VARIABLES[104]*VARIABLES[35])+(2.00000*VARIABLES[103]*VARIABLES[35])));
RATES[36] = (((2.00000*VARIABLES[103]*VARIABLES[35])+(4.00000*VARIABLES[104]*VARIABLES[33])+(0.0100000*((4.00000*CONSTANTS[1]*VARIABLES[104]*VARIABLES[37])-(VARIABLES[103]*VARIABLES[56]*VARIABLES[36])))+(0.00200000*((4.00000*VARIABLES[104]*VARIABLES[38])-(VARIABLES[57]*VARIABLES[36])))+(4.00000*VARIABLES[104]*CONSTANTS[1]*VARIABLES[39]))-((3.00000*VARIABLES[104]*VARIABLES[36])+(VARIABLES[103]*VARIABLES[36])+(1.00000*VARIABLES[56]*VARIABLES[57]*VARIABLES[36])));
RATES[37] = (((VARIABLES[56]*VARIABLES[33])+(0.00100000*((VARIABLES[103]*VARIABLES[39])-(VARIABLES[57]*VARIABLES[37])))+(0.0100000*((VARIABLES[103]*VARIABLES[56]*VARIABLES[36])-(4.00000*VARIABLES[104]*VARIABLES[57]*VARIABLES[37]))))-(CONSTANTS[1]*VARIABLES[37]));
RATES[38] = (((0.00100000*((VARIABLES[57]*VARIABLES[33])-(VARIABLES[103]*VARIABLES[38])))+(CONSTANTS[1]*VARIABLES[39])+(0.00200000*((VARIABLES[57]*VARIABLES[36])-(4.00000*VARIABLES[104]*VARIABLES[38]))))-(VARIABLES[56]*VARIABLES[38]));
RATES[39] = (((0.00100000*((VARIABLES[57]*VARIABLES[37])-(VARIABLES[103]*VARIABLES[39])))+(VARIABLES[56]*VARIABLES[38])+(1.00000*VARIABLES[56]*VARIABLES[57]*VARIABLES[36]))-((4.00000*VARIABLES[104]*CONSTANTS[1]*VARIABLES[39])+(CONSTANTS[1]*VARIABLES[39])));
RATES[24] = (((-(VARIABLES[97]+VARIABLES[55]+(3.00000*VARIABLES[105])+(3.00000*VARIABLES[59])))*CONSTANTS[28]*CONSTANTS[23])/(CONSTANTS[24]*CONSTANTS[34]));
RATES[27] = (((VARIABLES[41]*VARIABLES[99])+(VARIABLES[44]*VARIABLES[26])+(VARIABLES[47]*VARIABLES[3]))-((VARIABLES[42]*VARIABLES[27])+(VARIABLES[43]*VARIABLES[27])+(VARIABLES[48]*VARIABLES[27])));
RATES[26] = (((VARIABLES[43]*VARIABLES[27])+(VARIABLES[46]*VARIABLES[25])+(VARIABLES[47]*VARIABLES[2]))-((VARIABLES[44]*VARIABLES[26])+(VARIABLES[45]*VARIABLES[26])+(VARIABLES[48]*VARIABLES[26])));
RATES[25] = (((VARIABLES[45]*VARIABLES[26])+(VARIABLES[50]*VARIABLES[2]))-((VARIABLES[46]*VARIABLES[25])+(VARIABLES[49]*VARIABLES[25])));
RATES[2] = (((VARIABLES[49]*VARIABLES[25])+(VARIABLES[48]*VARIABLES[26])+(VARIABLES[52]*VARIABLES[0])+(VARIABLES[43]*VARIABLES[3]))-((VARIABLES[50]*VARIABLES[2])+(VARIABLES[47]*VARIABLES[2])+(VARIABLES[51]*VARIABLES[2])+(VARIABLES[44]*VARIABLES[2])));
RATES[0] = (((VARIABLES[51]*VARIABLES[2])+(VARIABLES[54]*VARIABLES[1]))-((VARIABLES[52]*VARIABLES[0])+(VARIABLES[53]*VARIABLES[0])));
RATES[1] = ((VARIABLES[53]*VARIABLES[0])-(VARIABLES[54]*VARIABLES[1]));
RATES[3] = (((VARIABLES[41]*VARIABLES[4])+(VARIABLES[44]*VARIABLES[2])+(VARIABLES[48]*VARIABLES[3]))-((VARIABLES[42]*VARIABLES[3])+(VARIABLES[43]*VARIABLES[3])+(VARIABLES[47]*VARIABLES[3])));
RATES[4] = (((VARIABLES[42]*VARIABLES[3])+(VARIABLES[48]*VARIABLES[99]))-((VARIABLES[41]*VARIABLES[4])+(VARIABLES[47]*VARIABLES[4])));
RATES[10] = (((-((VARIABLES[70]+VARIABLES[60]+VARIABLES[65]+VARIABLES[66]+VARIABLES[85]+VARIABLES[69]+VARIABLES[87])-(2.00000*VARIABLES[105])))*CONSTANTS[28]*CONSTANTS[23])/(CONSTANTS[24]*CONSTANTS[34]));
RATES[11] = ((VARIABLES[72]*(1.00000-VARIABLES[11]))-(VARIABLES[73]*VARIABLES[11]));
RATES[12] = ((VARIABLES[74]*(1.00000-VARIABLES[12]))-(VARIABLES[75]*VARIABLES[12]));
RATES[5] = ((VARIABLES[61]-VARIABLES[5])/VARIABLES[63]);
RATES[6] = ((VARIABLES[62]-VARIABLES[6])/VARIABLES[64]);
RATES[7] = ((VARIABLES[67]*(1.00000-VARIABLES[7]))-(VARIABLES[68]*VARIABLES[7]));
RATES[8] = ((VARIABLES[61]-VARIABLES[8])/VARIABLES[83]);
RATES[9] = ((VARIABLES[62]-VARIABLES[9])/VARIABLES[84]);
RATES[18] = ((VARIABLES[61]-VARIABLES[18])/VARIABLES[86]);
RATES[19] = 0.00000;
RATES[22] = (((CONSTANTS[38]*VARIABLES[21])+(VARIABLES[92]*VARIABLES[20]))-((CONSTANTS[37]*VARIABLES[22])+(VARIABLES[91]*VARIABLES[22])));
RATES[21] = (((VARIABLES[89]*VARIABLES[88])+(CONSTANTS[37]*VARIABLES[22]))-((VARIABLES[90]*VARIABLES[21])+(CONSTANTS[38]*VARIABLES[21])));
RATES[20] = (((VARIABLES[91]*VARIABLES[22])+(VARIABLES[94]*VARIABLES[23]))-((VARIABLES[92]*VARIABLES[20])+(VARIABLES[93]*VARIABLES[20])));
RATES[23] = ((VARIABLES[93]*VARIABLES[20])-(VARIABLES[94]*VARIABLES[23]));
}

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