/* There are a total of 54 entries in the algebraic variable array. There are a total of 7 entries in each of the rate and state variable arrays. There are a total of 46 entries in the constant variable array. */ /* * VOI is t in component params_BG (second). * CONSTANTS[0] is R in component params_BG (J_per_K_mol). * CONSTANTS[1] is T in component params_BG (kelvin). * CONSTANTS[2] is F in component params_BG (C_per_mol). * CONSTANTS[3] is K_Nai in component params_BG (per_fmol). * CONSTANTS[38] is q_Nai in component params_BG (fmol). * CONSTANTS[4] is K_Nao in component params_BG (per_fmol). * CONSTANTS[40] is q_Nao in component params_BG (fmol). * CONSTANTS[5] is K_Glci in component params_BG (per_fmol). * CONSTANTS[42] is q_Glci in component params_BG (fmol). * CONSTANTS[6] is K_Glco in component params_BG (per_fmol). * CONSTANTS[44] is q_Glco in component params_BG (fmol). * CONSTANTS[7] is K_1 in component params_BG (per_fmol). * CONSTANTS[8] is q_init_1 in component params_BG (fmol). * CONSTANTS[9] is K_2 in component params_BG (per_fmol). * CONSTANTS[10] is q_init_2 in component params_BG (fmol). * CONSTANTS[11] is K_3 in component params_BG (per_fmol). * CONSTANTS[12] is q_init_3 in component params_BG (fmol). * CONSTANTS[13] is K_4 in component params_BG (per_fmol). * CONSTANTS[14] is q_init_4 in component params_BG (fmol). * CONSTANTS[15] is K_5 in component params_BG (per_fmol). * CONSTANTS[16] is q_init_5 in component params_BG (fmol). * CONSTANTS[17] is K_6 in component params_BG (per_fmol). * CONSTANTS[18] is q_init_6 in component params_BG (fmol). * ALGEBRAIC[16] is V0_Vm in component params_BG (volt). * CONSTANTS[19] is z_zf1 in component params_BG (dimensionless). * CONSTANTS[20] is z_zr1 in component params_BG (dimensionless). * CONSTANTS[21] is z_zf6 in component params_BG (dimensionless). * CONSTANTS[22] is z_zr6 in component params_BG (dimensionless). * CONSTANTS[23] is kappa_r1 in component params_BG (fmol_per_s). * CONSTANTS[24] is kappa_r2 in component params_BG (fmol_per_s). * CONSTANTS[25] is kappa_r3 in component params_BG (fmol_per_s). * CONSTANTS[26] is kappa_r4 in component params_BG (fmol_per_s). * CONSTANTS[27] is kappa_r5 in component params_BG (fmol_per_s). * CONSTANTS[28] is kappa_r6 in component params_BG (fmol_per_s). * CONSTANTS[29] is kappa_r7 in component params_BG (fmol_per_s). * CONSTANTS[39] is mu_Nai in component SGLT1_BG (J_per_mol). * CONSTANTS[41] is mu_Nao in component SGLT1_BG (J_per_mol). * CONSTANTS[43] is mu_Glci in component SGLT1_BG (J_per_mol). * CONSTANTS[45] is mu_Glco in component SGLT1_BG (J_per_mol). * ALGEBRAIC[0] is mu_1 in component SGLT1_BG (J_per_mol). * ALGEBRAIC[41] is v_1 in component SGLT1_BG (fmol_per_s). * ALGEBRAIC[1] is mu_2 in component SGLT1_BG (J_per_mol). * ALGEBRAIC[42] is v_2 in component SGLT1_BG (fmol_per_s). * ALGEBRAIC[2] is mu_3 in component SGLT1_BG (J_per_mol). * ALGEBRAIC[24] is v_3 in component SGLT1_BG (fmol_per_s). * ALGEBRAIC[3] is mu_4 in component SGLT1_BG (J_per_mol). * ALGEBRAIC[25] is v_4 in component SGLT1_BG (fmol_per_s). * ALGEBRAIC[4] is mu_5 in component SGLT1_BG (J_per_mol). * ALGEBRAIC[26] is v_5 in component SGLT1_BG (fmol_per_s). * ALGEBRAIC[5] is mu_6 in component SGLT1_BG (J_per_mol). * ALGEBRAIC[43] is v_6 in component SGLT1_BG (fmol_per_s). * ALGEBRAIC[18] is V_Vm in component SGLT1_BG (volt). * ALGEBRAIC[27] is V_zf1 in component SGLT1_BG (volt). * ALGEBRAIC[49] is I_zf1 in component SGLT1_BG (fA). * ALGEBRAIC[31] is mu_zf1 in component SGLT1_BG (J_per_mol). * ALGEBRAIC[44] is v_zf1 in component SGLT1_BG (fmol_per_s). * ALGEBRAIC[28] is V_zr1 in component SGLT1_BG (volt). * ALGEBRAIC[50] is I_zr1 in component SGLT1_BG (fA). * ALGEBRAIC[32] is mu_zr1 in component SGLT1_BG (J_per_mol). * ALGEBRAIC[45] is v_zr1 in component SGLT1_BG (fmol_per_s). * ALGEBRAIC[29] is V_zf6 in component SGLT1_BG (volt). * ALGEBRAIC[51] is I_zf6 in component SGLT1_BG (fA). * ALGEBRAIC[33] is mu_zf6 in component SGLT1_BG (J_per_mol). * ALGEBRAIC[46] is v_zf6 in component SGLT1_BG (fmol_per_s). * ALGEBRAIC[30] is V_zr6 in component SGLT1_BG (volt). * ALGEBRAIC[52] is I_zr6 in component SGLT1_BG (fA). * ALGEBRAIC[34] is mu_zr6 in component SGLT1_BG (J_per_mol). * ALGEBRAIC[47] is v_zr6 in component SGLT1_BG (fmol_per_s). * ALGEBRAIC[35] is A_f_r1 in component SGLT1_BG (J_per_mol). * ALGEBRAIC[39] is v_r1 in component SGLT1_BG (fmol_per_s). * ALGEBRAIC[36] is A_r_r1 in component SGLT1_BG (J_per_mol). * ALGEBRAIC[6] is A_f_r2 in component SGLT1_BG (J_per_mol). * ALGEBRAIC[19] is v_r2 in component SGLT1_BG (fmol_per_s). * ALGEBRAIC[7] is A_r_r2 in component SGLT1_BG (J_per_mol). * ALGEBRAIC[8] is A_f_r3 in component SGLT1_BG (J_per_mol). * ALGEBRAIC[20] is v_r3 in component SGLT1_BG (fmol_per_s). * ALGEBRAIC[9] is A_r_r3 in component SGLT1_BG (J_per_mol). * ALGEBRAIC[10] is A_f_r4 in component SGLT1_BG (J_per_mol). * ALGEBRAIC[21] is v_r4 in component SGLT1_BG (fmol_per_s). * ALGEBRAIC[11] is A_r_r4 in component SGLT1_BG (J_per_mol). * ALGEBRAIC[12] is A_f_r5 in component SGLT1_BG (J_per_mol). * ALGEBRAIC[22] is v_r5 in component SGLT1_BG (fmol_per_s). * ALGEBRAIC[13] is A_r_r5 in component SGLT1_BG (J_per_mol). * ALGEBRAIC[37] is A_f_r6 in component SGLT1_BG (J_per_mol). * ALGEBRAIC[40] is v_r6 in component SGLT1_BG (fmol_per_s). * ALGEBRAIC[38] is A_r_r6 in component SGLT1_BG (J_per_mol). * ALGEBRAIC[14] is A_f_r7 in component SGLT1_BG (J_per_mol). * ALGEBRAIC[23] is v_r7 in component SGLT1_BG (fmol_per_s). * ALGEBRAIC[15] is A_r_r7 in component SGLT1_BG (J_per_mol). * STATES[0] is q_1 in component SGLT1_BG (fmol). * STATES[1] is q_2 in component SGLT1_BG (fmol). * STATES[2] is q_3 in component SGLT1_BG (fmol). * STATES[3] is q_4 in component SGLT1_BG (fmol). * STATES[4] is q_5 in component SGLT1_BG (fmol). * STATES[5] is q_6 in component SGLT1_BG (fmol). * ALGEBRAIC[53] is Ii in component SGLT1_BG (fA). * ALGEBRAIC[48] is I_ss in component SGLT1_BG (fA). * CONSTANTS[30] is Nai in component params_BG (mM). * CONSTANTS[31] is Nao in component params_BG (mM). * CONSTANTS[32] is Glci in component params_BG (mM). * CONSTANTS[33] is Glco in component params_BG (mM). * CONSTANTS[34] is V_i in component params_BG (pL). * CONSTANTS[35] is V_o in component params_BG (pL). * STATES[6] is V_E in component params_BG (volt). * CONSTANTS[36] is test_volt in component params_BG (volt). * ALGEBRAIC[17] is rate_VE in component params_BG (volt_per_s). * CONSTANTS[37] is dt in component params_BG (second). * RATES[0] is d/dt q_1 in component SGLT1_BG (fmol). * RATES[1] is d/dt q_2 in component SGLT1_BG (fmol). * RATES[2] is d/dt q_3 in component SGLT1_BG (fmol). * RATES[3] is d/dt q_4 in component SGLT1_BG (fmol). * RATES[4] is d/dt q_5 in component SGLT1_BG (fmol). * RATES[5] is d/dt q_6 in component SGLT1_BG (fmol). * RATES[6] is d/dt V_E in component params_BG (volt). * There are a total of 7 condition variables. */ void initConsts(double* CONSTANTS, double* RATES, double *STATES) { CONSTANTS[0] = 8.31; CONSTANTS[1] = 293; CONSTANTS[2] = 96485; CONSTANTS[3] = 3.216e-08; CONSTANTS[4] = 3.216e-08; CONSTANTS[5] = 4.848e-06; CONSTANTS[6] = 4.848e-06; CONSTANTS[7] = 2.235; CONSTANTS[8] = 13.7727015449461; CONSTANTS[9] = 10.437; CONSTANTS[10] = 72.295598813025; CONSTANTS[11] = 8.602; CONSTANTS[12] = 0.16701061319503; CONSTANTS[13] = 8.602; CONSTANTS[14] = 0.233806833618937; CONSTANTS[15] = 28.628; CONSTANTS[16] = 1.73527350102727; CONSTANTS[17] = 0.192; CONSTANTS[18] = 11.4302815603453; CONSTANTS[19] = 0.3; CONSTANTS[20] = 0.3; CONSTANTS[21] = 0.7; CONSTANTS[22] = 0.7; CONSTANTS[23] = 47.905; CONSTANTS[24] = 2.325; CONSTANTS[25] = 5.812; CONSTANTS[26] = 92.998; CONSTANTS[27] = 0.349; CONSTANTS[28] = 15.661; CONSTANTS[29] = 0.029; CONSTANTS[30] = 20; CONSTANTS[31] = 100; CONSTANTS[32] = 10e-3; CONSTANTS[33] = 1e-12; CONSTANTS[34] = 8.5e5; CONSTANTS[35] = 8.5e5; STATES[6] = -0.05; CONSTANTS[36] = 0; CONSTANTS[37] = 1e-3; CONSTANTS[38] = CONSTANTS[30]*CONSTANTS[34]; CONSTANTS[39] = CONSTANTS[0]*CONSTANTS[1]*log( CONSTANTS[3]*CONSTANTS[38]); CONSTANTS[40] = CONSTANTS[31]*CONSTANTS[35]; CONSTANTS[41] = CONSTANTS[0]*CONSTANTS[1]*log( CONSTANTS[4]*CONSTANTS[40]); CONSTANTS[42] = CONSTANTS[32]*CONSTANTS[34]; CONSTANTS[43] = CONSTANTS[0]*CONSTANTS[1]*log( CONSTANTS[5]*CONSTANTS[42]); CONSTANTS[44] = CONSTANTS[33]*CONSTANTS[35]; CONSTANTS[45] = CONSTANTS[0]*CONSTANTS[1]*log( CONSTANTS[6]*CONSTANTS[44]); STATES[0] = CONSTANTS[8]; STATES[1] = CONSTANTS[10]; STATES[2] = CONSTANTS[12]; STATES[3] = CONSTANTS[14]; STATES[4] = CONSTANTS[16]; STATES[5] = CONSTANTS[18]; RATES[0] = 0.1001; RATES[1] = 0.1001; RATES[2] = 0.1001; RATES[3] = 0.1001; RATES[4] = 0.1001; RATES[5] = 0.1001; RATES[6] = 0.1001; } void computeResiduals(double VOI, double* CONSTANTS, double* RATES, double* OLDRATES, double* STATES, double* OLDSTATES, double* ALGEBRAIC, double* CONDVARS) { resid[0] = RATES[0] - ALGEBRAIC[41]; resid[1] = RATES[1] - ALGEBRAIC[42]; resid[2] = RATES[2] - ALGEBRAIC[24]; resid[3] = RATES[3] - ALGEBRAIC[25]; resid[4] = RATES[4] - ALGEBRAIC[26]; resid[5] = RATES[5] - ALGEBRAIC[43]; resid[6] = RATES[6] - ALGEBRAIC[17]; } void computeVariables(double VOI, double* CONSTANTS, double* RATES, double* STATES, double* ALGEBRAIC) { ALGEBRAIC[44] = ALGEBRAIC[39]; ALGEBRAIC[45] = ALGEBRAIC[39]; ALGEBRAIC[46] = ALGEBRAIC[40]; ALGEBRAIC[47] = ALGEBRAIC[40]; ALGEBRAIC[48] = 2.00000*CONSTANTS[2]*- ALGEBRAIC[40]; ALGEBRAIC[49] = CONSTANTS[19]*CONSTANTS[2]*ALGEBRAIC[44]; ALGEBRAIC[50] = CONSTANTS[20]*CONSTANTS[2]*ALGEBRAIC[45]; ALGEBRAIC[51] = CONSTANTS[21]*CONSTANTS[2]*ALGEBRAIC[46]; ALGEBRAIC[52] = CONSTANTS[22]*CONSTANTS[2]*ALGEBRAIC[47]; ALGEBRAIC[53] = ALGEBRAIC[49]+ALGEBRAIC[50]+ALGEBRAIC[51]+ALGEBRAIC[52]; } void computeEssentialVariables(double VOI, double* CONSTANTS, double* RATES, double* STATES, double* ALGEBRAIC) { ALGEBRAIC[17] = (CONDVAR[0]<0.00000 ? 0.00000 : CONDVAR[1]>=0.00000&&CONDVAR[2]<0.00000 ? (CONSTANTS[36]+0.0500000)/CONSTANTS[37] : CONDVAR[3]>=0.00000&&CONDVAR[4]<0.00000 ? 0.00000 : CONDVAR[5]>=0.00000&&CONDVAR[6]<0.00000 ? - (CONSTANTS[36]+0.0500000)/CONSTANTS[37] : 0.00000); ALGEBRAIC[1] = CONSTANTS[0]*CONSTANTS[1]*log( CONSTANTS[9]*STATES[1]); ALGEBRAIC[6] = CONSTANTS[45]+ALGEBRAIC[1]; ALGEBRAIC[2] = CONSTANTS[0]*CONSTANTS[1]*log( CONSTANTS[11]*STATES[2]); ALGEBRAIC[7] = ALGEBRAIC[2]; ALGEBRAIC[19] = CONSTANTS[24]*(exp(ALGEBRAIC[6]/( CONSTANTS[0]*CONSTANTS[1])) - exp(ALGEBRAIC[7]/( CONSTANTS[0]*CONSTANTS[1]))); ALGEBRAIC[8] = ALGEBRAIC[2]; ALGEBRAIC[3] = CONSTANTS[0]*CONSTANTS[1]*log( CONSTANTS[13]*STATES[3]); ALGEBRAIC[9] = ALGEBRAIC[3]; ALGEBRAIC[20] = CONSTANTS[25]*(exp(ALGEBRAIC[8]/( CONSTANTS[0]*CONSTANTS[1])) - exp(ALGEBRAIC[9]/( CONSTANTS[0]*CONSTANTS[1]))); ALGEBRAIC[24] = ALGEBRAIC[19] - ALGEBRAIC[20]; ALGEBRAIC[10] = ALGEBRAIC[3]; ALGEBRAIC[4] = CONSTANTS[0]*CONSTANTS[1]*log( CONSTANTS[15]*STATES[4]); ALGEBRAIC[11] = CONSTANTS[43]+ALGEBRAIC[4]; ALGEBRAIC[21] = CONSTANTS[26]*(exp(ALGEBRAIC[10]/( CONSTANTS[0]*CONSTANTS[1])) - exp(ALGEBRAIC[11]/( CONSTANTS[0]*CONSTANTS[1]))); ALGEBRAIC[25] = ALGEBRAIC[20] - ALGEBRAIC[21]; ALGEBRAIC[12] = ALGEBRAIC[4]; ALGEBRAIC[5] = CONSTANTS[0]*CONSTANTS[1]*log( CONSTANTS[17]*STATES[5]); ALGEBRAIC[13] = 2.00000*CONSTANTS[39]+ALGEBRAIC[5]; ALGEBRAIC[22] = CONSTANTS[27]*(exp(ALGEBRAIC[12]/( CONSTANTS[0]*CONSTANTS[1])) - exp(ALGEBRAIC[13]/( CONSTANTS[0]*CONSTANTS[1]))); ALGEBRAIC[14] = ALGEBRAIC[1]; ALGEBRAIC[15] = ALGEBRAIC[4]; ALGEBRAIC[23] = CONSTANTS[29]*(exp(ALGEBRAIC[14]/( CONSTANTS[0]*CONSTANTS[1])) - exp(ALGEBRAIC[15]/( CONSTANTS[0]*CONSTANTS[1]))); ALGEBRAIC[26] = (ALGEBRAIC[21] - ALGEBRAIC[22])+ALGEBRAIC[23]; ALGEBRAIC[0] = CONSTANTS[0]*CONSTANTS[1]*log( CONSTANTS[7]*STATES[0]); ALGEBRAIC[16] = STATES[6]; ALGEBRAIC[18] = ALGEBRAIC[16]; ALGEBRAIC[27] = ALGEBRAIC[18]; ALGEBRAIC[31] = CONSTANTS[19]*CONSTANTS[2]*ALGEBRAIC[27]; ALGEBRAIC[35] = ( 2.00000*CONSTANTS[41]+ALGEBRAIC[0]) - ALGEBRAIC[31]; ALGEBRAIC[28] = ALGEBRAIC[18]; ALGEBRAIC[32] = CONSTANTS[20]*CONSTANTS[2]*ALGEBRAIC[28]; ALGEBRAIC[36] = ALGEBRAIC[1]+ALGEBRAIC[32]; ALGEBRAIC[39] = CONSTANTS[23]*(exp(ALGEBRAIC[35]/( CONSTANTS[0]*CONSTANTS[1])) - exp(ALGEBRAIC[36]/( CONSTANTS[0]*CONSTANTS[1]))); ALGEBRAIC[29] = ALGEBRAIC[18]; ALGEBRAIC[33] = CONSTANTS[21]*CONSTANTS[2]*ALGEBRAIC[29]; ALGEBRAIC[37] = ALGEBRAIC[5] - ALGEBRAIC[33]; ALGEBRAIC[30] = ALGEBRAIC[18]; ALGEBRAIC[34] = CONSTANTS[22]*CONSTANTS[2]*ALGEBRAIC[30]; ALGEBRAIC[38] = ALGEBRAIC[0]+ALGEBRAIC[34]; ALGEBRAIC[40] = CONSTANTS[28]*(exp(ALGEBRAIC[37]/( CONSTANTS[0]*CONSTANTS[1])) - exp(ALGEBRAIC[38]/( CONSTANTS[0]*CONSTANTS[1]))); ALGEBRAIC[41] = - ALGEBRAIC[39]+ALGEBRAIC[40]; ALGEBRAIC[42] = (ALGEBRAIC[39] - ALGEBRAIC[19]) - ALGEBRAIC[23]; ALGEBRAIC[43] = ALGEBRAIC[22] - ALGEBRAIC[40]; } void getStateInformation(double* SI) { SI[0] = 1.0; SI[1] = 1.0; SI[2] = 1.0; SI[3] = 1.0; SI[4] = 1.0; SI[5] = 1.0; SI[6] = 1.0; } void computeRoots(double VOI, double* CONSTANTS, double* RATES, double* OLDRATES, double* STATES, double* OLDSTATES, double* ALGEBRAIC, double* CONDVARS) { CONDVAR[0] = VOI - 1.20475; CONDVAR[1] = VOI - 1.20475; CONDVAR[2] = VOI - (1.20475+CONSTANTS[37]); CONDVAR[3] = VOI - (1.20475+CONSTANTS[37]); CONDVAR[4] = VOI - 2.98475; CONDVAR[5] = VOI - 2.98475; CONDVAR[6] = VOI - (2.98475+CONSTANTS[37]); }