/* There are a total of 28 entries in the algebraic variable array. There are a total of 9 entries in each of the rate and state variable arrays. There are a total of 41 entries in the constant variable array. */ /* * VOI is t in component main (second). * CONSTANTS[0] is RT in component main (J_per_mol). * CONSTANTS[1] is F in component main (C_per_mol). * CONSTANTS[2] is q_w_gut in component main (litre). * CONSTANTS[3] is q_w_epi in component main (litre). * CONSTANTS[4] is q_w_cap in component main (litre). * CONSTANTS[33] is q_w_tot in component main (litre). * STATES[0] is q_Na_gut in component main (mole). * STATES[1] is q_Na_epi in component main (mole). * CONSTANTS[5] is q_Na_cap in component main (mole). * ALGEBRAIC[0] is c_Na_gut in component main (mM). * ALGEBRAIC[3] is c_Na_epi in component main (mM). * CONSTANTS[34] is c_Na_cap in component main (mM). * CONSTANTS[6] is K_mm in component main (millimols_per_mol). * ALGEBRAIC[1] is q_Na_tot in component main (mole). * STATES[2] is q_K_epi in component main (mole). * CONSTANTS[7] is q_K_cap in component main (mole). * ALGEBRAIC[6] is c_K_epi in component main (mM). * CONSTANTS[35] is c_K_cap in component main (mM). * STATES[3] is q_Cl_epi in component main (mole). * CONSTANTS[8] is q_Cl_cap in component main (mole). * ALGEBRAIC[8] is c_Cl_epi in component main (mM). * CONSTANTS[36] is c_Cl_cap in component main (mM). * STATES[4] is q_e in component main (coulomb). * CONSTANTS[9] is u_ee in component main (J_per_C). * ALGEBRAIC[11] is u_e in component main (J_per_C). * CONSTANTS[10] is C_m in component main (C2_per_J). * CONSTANTS[11] is q_Glc_gut in component main (mole). * STATES[5] is q_Glc_epi in component main (mole). * CONSTANTS[12] is q_Glc_cap in component main (mole). * CONSTANTS[37] is c_Glc_gut in component main (mM). * ALGEBRAIC[12] is c_Glc_epi in component main (mM). * CONSTANTS[38] is c_Glc_cap in component main (mM). * CONSTANTS[13] is u_w_gut in component main (kPa). * CONSTANTS[39] is u_w_epi in component main (kPa). * CONSTANTS[14] is u_w_cap in component main (kPa). * CONSTANTS[15] is E_w_epi in component main (joule). * CONSTANTS[16] is U_w_epi in component main (litre). * CONSTANTS[17] is L_w_epi in component main (litre). * ALGEBRAIC[4] is v_w_epiApex in component main (L_per_s). * ALGEBRAIC[5] is v_w_epiBase in component main (L_per_s). * CONSTANTS[18] is k_w_m in component main (L_per_s_per_kPa). * CONSTANTS[19] is c_O2 in component main (mM). * CONSTANTS[20] is c_CO2 in component main (mM). * CONSTANTS[21] is c_HCO3 in component main (mM). * STATES[6] is q_ATP in component main (mole). * STATES[7] is q_ADP in component main (mole). * STATES[8] is q_Pi in component main (mole). * CONSTANTS[22] is q_H in component main (mole). * ALGEBRAIC[2] is q_adenosine in component main (mole). * ALGEBRAIC[13] is c_ATP in component main (mM). * ALGEBRAIC[16] is c_ADP in component main (mM). * ALGEBRAIC[17] is c_Pi in component main (mM). * CONSTANTS[40] is c_H in component main (mM). * CONSTANTS[23] is kappa_SGLT1 in component main (mol_per_s). * ALGEBRAIC[18] is v_SGLT1 in component main (mol_per_s). * CONSTANTS[24] is kappa_GLUT2 in component main (mol_per_s). * ALGEBRAIC[20] is v_GLUT2 in component main (mol_per_s). * CONSTANTS[25] is k_ATP_eq in component main (mM2). * CONSTANTS[26] is kappa_NKE in component main (mol_per_s). * ALGEBRAIC[21] is v_NKE in component main (mol_per_s). * CONSTANTS[27] is kappa_NKCC1 in component main (mol_per_s). * ALGEBRAIC[22] is v_NKCC1 in component main (mol_per_s). * CONSTANTS[28] is kappa_KCC1 in component main (mol_per_s). * ALGEBRAIC[24] is v_KCC1 in component main (mol_per_s). * CONSTANTS[29] is kappa_K in component main (C_per_J_per_s). * ALGEBRAIC[26] is v_K in component main (mol_per_s). * ALGEBRAIC[25] is GHKterm in component main (J_per_C). * CONSTANTS[30] is kappa_Na in component main (per_s_per_V). * ALGEBRAIC[27] is v_Na in component main (mol_per_s). * CONSTANTS[31] is k_AM_eq in component main (per_mM). * CONSTANTS[32] is kappa_AM in component main (mol_per_s). * ALGEBRAIC[23] is v_AM in component main (mol_per_s). * ALGEBRAIC[14] is u_SGLT1_reversal in component main (J_per_C). * ALGEBRAIC[9] is u_K_reversal in component main (J_per_C). * ALGEBRAIC[7] is u_Na_reversal in component main (J_per_C). * ALGEBRAIC[15] is c_Na_gutThreshold in component main (mM). * ALGEBRAIC[19] is c_Na_epiEquilibrium in component main (mM). * ALGEBRAIC[10] is c_Cl_epiEquilibrium in component main (mM). * RATES[0] is d/dt q_Na_gut in component main (mole). * RATES[1] is d/dt q_Na_epi in component main (mole). * RATES[2] is d/dt q_K_epi in component main (mole). * RATES[3] is d/dt q_Cl_epi in component main (mole). * RATES[4] is d/dt q_e in component main (coulomb). * RATES[5] is d/dt q_Glc_epi in component main (mole). * RATES[6] is d/dt q_ATP in component main (mole). * RATES[7] is d/dt q_ADP in component main (mole). * RATES[8] is d/dt q_Pi in component main (mole). */ void initConsts(double* CONSTANTS, double* RATES, double *STATES) { CONSTANTS[0] = 2.5e3; CONSTANTS[1] = 0.965e5; CONSTANTS[2] = 1; CONSTANTS[3] = 1; CONSTANTS[4] = 1; STATES[0] = 0.1; STATES[1] = 0.001; CONSTANTS[5] = 0.140; CONSTANTS[6] = 1.e3; STATES[2] = 0.130; CONSTANTS[7] = 0.004; STATES[3] = 0.001; CONSTANTS[8] = 0.100; STATES[4] = 1e-5; CONSTANTS[9] = -0.08; CONSTANTS[10] = 5e4; CONSTANTS[11] = 0.01; STATES[5] = 0.001; CONSTANTS[12] = 0.01; CONSTANTS[13] = 1; CONSTANTS[14] = 1; CONSTANTS[15] = 1; CONSTANTS[16] = 0.5; CONSTANTS[17] = 5; CONSTANTS[18] = 1e-4; CONSTANTS[19] = 9.25; CONSTANTS[20] = 1.20; CONSTANTS[21] = 25.0; STATES[6] = 0.003; STATES[7] = 0.0025; STATES[8] = 0.003; CONSTANTS[22] = 1e-7; CONSTANTS[23] = 1e-2; CONSTANTS[24] = 1e1; CONSTANTS[25] = 2e4; CONSTANTS[26] = 1e2; CONSTANTS[27] = 1e-1; CONSTANTS[28] = 1e-1; CONSTANTS[29] = 2e3; CONSTANTS[30] = 0; CONSTANTS[31] = 1e0; CONSTANTS[32] = 1e1; CONSTANTS[33] = CONSTANTS[2]+CONSTANTS[3]+CONSTANTS[4]; CONSTANTS[34] = ( CONSTANTS[5]*CONSTANTS[6])/CONSTANTS[4]; CONSTANTS[35] = ( CONSTANTS[7]*CONSTANTS[6])/CONSTANTS[4]; CONSTANTS[36] = ( CONSTANTS[8]*CONSTANTS[6])/CONSTANTS[4]; CONSTANTS[37] = ( CONSTANTS[11]*CONSTANTS[6])/CONSTANTS[2]; CONSTANTS[38] = ( CONSTANTS[12]*CONSTANTS[6])/CONSTANTS[4]; CONSTANTS[39] = ( CONSTANTS[15]*(CONSTANTS[3] - CONSTANTS[16]))/pow(CONSTANTS[17] - CONSTANTS[3], 2.00000); CONSTANTS[40] = ( CONSTANTS[22]*CONSTANTS[6])/CONSTANTS[3]; } void computeRates(double VOI, double* CONSTANTS, double* RATES, double* STATES, double* ALGEBRAIC) { ALGEBRAIC[0] = ( STATES[0]*CONSTANTS[6])/CONSTANTS[2]; ALGEBRAIC[3] = ( STATES[1]*CONSTANTS[6])/CONSTANTS[3]; ALGEBRAIC[11] = STATES[4]/CONSTANTS[10]; ALGEBRAIC[12] = ( STATES[5]*CONSTANTS[6])/CONSTANTS[3]; ALGEBRAIC[18] = ( CONSTANTS[23]*(( pow(ALGEBRAIC[0]/ALGEBRAIC[3], 2.00000)*CONSTANTS[37])/ALGEBRAIC[12] - exp(( 2.00000*CONSTANTS[1]*ALGEBRAIC[11])/CONSTANTS[0])))/( (1.00000+pow(ALGEBRAIC[0]/20.0000, 2.00000))*(1.00000+pow(ALGEBRAIC[3]/100.000, 2.00000))); RATES[0] = - 2.00000*ALGEBRAIC[18]; ALGEBRAIC[20] = ( CONSTANTS[24]*(ALGEBRAIC[12]/CONSTANTS[38] - 1.00000))/(1.00000+ALGEBRAIC[12]/5.00000+CONSTANTS[38]/10.0000+( ALGEBRAIC[12]*CONSTANTS[38])/100.000); ALGEBRAIC[13] = ( STATES[6]*CONSTANTS[6])/CONSTANTS[3]; ALGEBRAIC[16] = ( STATES[7]*CONSTANTS[6])/CONSTANTS[3]; ALGEBRAIC[23] = CONSTANTS[32]*(( CONSTANTS[31]*ALGEBRAIC[12]*ALGEBRAIC[16])/ALGEBRAIC[13] - 1.00000); RATES[5] = (ALGEBRAIC[18] - ALGEBRAIC[20]) - ALGEBRAIC[23]; ALGEBRAIC[6] = ( STATES[2]*CONSTANTS[6])/CONSTANTS[3]; ALGEBRAIC[17] = ( STATES[8]*CONSTANTS[6])/CONSTANTS[3]; ALGEBRAIC[21] = ( CONSTANTS[26]*(( pow(ALGEBRAIC[3]/CONSTANTS[34], 3.00000)*ALGEBRAIC[13]*CONSTANTS[25])/( ALGEBRAIC[16]*ALGEBRAIC[17]*CONSTANTS[40]) - pow(ALGEBRAIC[6]/CONSTANTS[35], 2.00000)*exp(( CONSTANTS[1]*ALGEBRAIC[11])/CONSTANTS[0])))/( (1.00000+pow(ALGEBRAIC[3]/1.00000, 3.00000))*(1.00000+pow(CONSTANTS[34]/100.000, 3.00000))); RATES[6] = - ALGEBRAIC[21]+ 32.0000*ALGEBRAIC[23]; RATES[7] = ALGEBRAIC[21] - 32.0000*ALGEBRAIC[23]; RATES[8] = ALGEBRAIC[21] - 32.0000*ALGEBRAIC[23]; ALGEBRAIC[8] = ( STATES[3]*CONSTANTS[6])/CONSTANTS[3]; ALGEBRAIC[22] = ( CONSTANTS[27]*( (( (CONSTANTS[34]/ALGEBRAIC[3])*CONSTANTS[35])/ALGEBRAIC[6])*pow(CONSTANTS[36]/ALGEBRAIC[8], 2.00000) - 1.00000))/( (1.00000+CONSTANTS[34]/70.0000)*(1.00000+ALGEBRAIC[3]/5.00000)*(1.00000+CONSTANTS[35]/2.00000)*(1.00000+ALGEBRAIC[6]/60.0000)*(1.00000+pow(CONSTANTS[36]/50.0000, 2.00000))*(1.00000+pow(ALGEBRAIC[8]/10.0000, 2.00000))); ALGEBRAIC[24] = ( CONSTANTS[28]*(( (ALGEBRAIC[6]/CONSTANTS[35])*ALGEBRAIC[8])/CONSTANTS[36] - 1.00000))/( (1.00000+CONSTANTS[36]/50.0000)*(1.00000+CONSTANTS[35]/2.00000)*(1.00000+ALGEBRAIC[8]/10.0000)*(1.00000+ALGEBRAIC[6]/60.0000)); RATES[3] = 2.00000*ALGEBRAIC[22] - ALGEBRAIC[24]; ALGEBRAIC[25] = ALGEBRAIC[11]/(exp(( CONSTANTS[1]*ALGEBRAIC[11])/CONSTANTS[0]) - 1.00000); ALGEBRAIC[26] = CONSTANTS[29]*( STATES[2]*exp(( CONSTANTS[1]*ALGEBRAIC[11])/CONSTANTS[0]) - CONSTANTS[7])*ALGEBRAIC[25]; RATES[2] = (( 2.00000*ALGEBRAIC[21] - ALGEBRAIC[26])+ALGEBRAIC[22]) - ALGEBRAIC[24]; ALGEBRAIC[27] = CONSTANTS[30]*(CONSTANTS[5] - STATES[1]*exp(( CONSTANTS[1]*ALGEBRAIC[11])/CONSTANTS[0]))*ALGEBRAIC[25]; RATES[1] = ( 2.00000*ALGEBRAIC[18] - 3.00000*ALGEBRAIC[21])+ALGEBRAIC[22]+ALGEBRAIC[27]; RATES[4] = CONSTANTS[1]*((( 2.00000*ALGEBRAIC[18] - ALGEBRAIC[21]) - ALGEBRAIC[26])+ALGEBRAIC[27]); } void computeVariables(double VOI, double* CONSTANTS, double* RATES, double* STATES, double* ALGEBRAIC) { ALGEBRAIC[0] = ( STATES[0]*CONSTANTS[6])/CONSTANTS[2]; ALGEBRAIC[3] = ( STATES[1]*CONSTANTS[6])/CONSTANTS[3]; ALGEBRAIC[11] = STATES[4]/CONSTANTS[10]; ALGEBRAIC[12] = ( STATES[5]*CONSTANTS[6])/CONSTANTS[3]; ALGEBRAIC[18] = ( CONSTANTS[23]*(( pow(ALGEBRAIC[0]/ALGEBRAIC[3], 2.00000)*CONSTANTS[37])/ALGEBRAIC[12] - exp(( 2.00000*CONSTANTS[1]*ALGEBRAIC[11])/CONSTANTS[0])))/( (1.00000+pow(ALGEBRAIC[0]/20.0000, 2.00000))*(1.00000+pow(ALGEBRAIC[3]/100.000, 2.00000))); ALGEBRAIC[20] = ( CONSTANTS[24]*(ALGEBRAIC[12]/CONSTANTS[38] - 1.00000))/(1.00000+ALGEBRAIC[12]/5.00000+CONSTANTS[38]/10.0000+( ALGEBRAIC[12]*CONSTANTS[38])/100.000); ALGEBRAIC[13] = ( STATES[6]*CONSTANTS[6])/CONSTANTS[3]; ALGEBRAIC[16] = ( STATES[7]*CONSTANTS[6])/CONSTANTS[3]; ALGEBRAIC[23] = CONSTANTS[32]*(( CONSTANTS[31]*ALGEBRAIC[12]*ALGEBRAIC[16])/ALGEBRAIC[13] - 1.00000); ALGEBRAIC[6] = ( STATES[2]*CONSTANTS[6])/CONSTANTS[3]; ALGEBRAIC[17] = ( STATES[8]*CONSTANTS[6])/CONSTANTS[3]; ALGEBRAIC[21] = ( CONSTANTS[26]*(( pow(ALGEBRAIC[3]/CONSTANTS[34], 3.00000)*ALGEBRAIC[13]*CONSTANTS[25])/( ALGEBRAIC[16]*ALGEBRAIC[17]*CONSTANTS[40]) - pow(ALGEBRAIC[6]/CONSTANTS[35], 2.00000)*exp(( CONSTANTS[1]*ALGEBRAIC[11])/CONSTANTS[0])))/( (1.00000+pow(ALGEBRAIC[3]/1.00000, 3.00000))*(1.00000+pow(CONSTANTS[34]/100.000, 3.00000))); ALGEBRAIC[8] = ( STATES[3]*CONSTANTS[6])/CONSTANTS[3]; ALGEBRAIC[22] = ( CONSTANTS[27]*( (( (CONSTANTS[34]/ALGEBRAIC[3])*CONSTANTS[35])/ALGEBRAIC[6])*pow(CONSTANTS[36]/ALGEBRAIC[8], 2.00000) - 1.00000))/( (1.00000+CONSTANTS[34]/70.0000)*(1.00000+ALGEBRAIC[3]/5.00000)*(1.00000+CONSTANTS[35]/2.00000)*(1.00000+ALGEBRAIC[6]/60.0000)*(1.00000+pow(CONSTANTS[36]/50.0000, 2.00000))*(1.00000+pow(ALGEBRAIC[8]/10.0000, 2.00000))); ALGEBRAIC[24] = ( CONSTANTS[28]*(( (ALGEBRAIC[6]/CONSTANTS[35])*ALGEBRAIC[8])/CONSTANTS[36] - 1.00000))/( (1.00000+CONSTANTS[36]/50.0000)*(1.00000+CONSTANTS[35]/2.00000)*(1.00000+ALGEBRAIC[8]/10.0000)*(1.00000+ALGEBRAIC[6]/60.0000)); ALGEBRAIC[25] = ALGEBRAIC[11]/(exp(( CONSTANTS[1]*ALGEBRAIC[11])/CONSTANTS[0]) - 1.00000); ALGEBRAIC[26] = CONSTANTS[29]*( STATES[2]*exp(( CONSTANTS[1]*ALGEBRAIC[11])/CONSTANTS[0]) - CONSTANTS[7])*ALGEBRAIC[25]; ALGEBRAIC[27] = CONSTANTS[30]*(CONSTANTS[5] - STATES[1]*exp(( CONSTANTS[1]*ALGEBRAIC[11])/CONSTANTS[0]))*ALGEBRAIC[25]; ALGEBRAIC[1] = STATES[0]+STATES[1]+CONSTANTS[5]; ALGEBRAIC[2] = STATES[6]+STATES[7]; ALGEBRAIC[4] = CONSTANTS[18]*((CONSTANTS[13] - CONSTANTS[39]) - (CONSTANTS[0]/CONSTANTS[6])*(ALGEBRAIC[0] - ALGEBRAIC[3])); ALGEBRAIC[5] = CONSTANTS[18]*((CONSTANTS[39] - CONSTANTS[14]) - (CONSTANTS[0]/CONSTANTS[6])*(ALGEBRAIC[3] - CONSTANTS[34])); ALGEBRAIC[7] = (CONSTANTS[0]/CONSTANTS[1])*log(CONSTANTS[34]/ALGEBRAIC[3]); ALGEBRAIC[9] = (CONSTANTS[0]/CONSTANTS[1])*log(CONSTANTS[35]/ALGEBRAIC[6]); ALGEBRAIC[10] = CONSTANTS[36]* pow((( (CONSTANTS[34]/ALGEBRAIC[3])*CONSTANTS[35])/ALGEBRAIC[6]), 1.0 / 2); ALGEBRAIC[14] = (CONSTANTS[0]/( 2.00000*CONSTANTS[1]))*log(( pow(ALGEBRAIC[0]/ALGEBRAIC[3], 2.00000)*CONSTANTS[37])/ALGEBRAIC[12]); ALGEBRAIC[15] = ALGEBRAIC[3]* pow((ALGEBRAIC[12]/CONSTANTS[37]), 1.0 / 2)*exp(( CONSTANTS[1]*ALGEBRAIC[11])/CONSTANTS[0]); ALGEBRAIC[19] = CONSTANTS[34]*pow(( (ALGEBRAIC[16]/ALGEBRAIC[13])*ALGEBRAIC[17]*CONSTANTS[40])/CONSTANTS[25], 0.333340)*pow(ALGEBRAIC[6]/CONSTANTS[35], 0.666670)*exp(( CONSTANTS[1]*ALGEBRAIC[11])/( 3.00000*CONSTANTS[0])); }