/* There are a total of 32 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 42 entries in the constant variable array. */ /* * VOI is t in component main (second). * CONSTANTS[0] is pulse_time in component main (second). * CONSTANTS[1] is RT in component main (J_per_mol). * CONSTANTS[2] is F in component main (C_per_mol). * CONSTANTS[3] is q_w_gut in component main (litre). * CONSTANTS[4] is q_w_epi in component main (litre). * CONSTANTS[5] is q_w_cap in component main (litre). * CONSTANTS[36] 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). * ALGEBRAIC[0] is q_Na_cap in component main (mole). * CONSTANTS[6] is q_Na_cap_init in component main (mole). * CONSTANTS[7] is q_Na_cap_scale in component main (dimensionless). * ALGEBRAIC[1] is c_Na_gut in component main (mM). * ALGEBRAIC[2] is c_Na_epi in component main (mM). * ALGEBRAIC[3] is c_Na_cap in component main (mM). * CONSTANTS[8] is K_mm in component main (millimols_per_mol). * ALGEBRAIC[4] is q_Na_tot in component main (mole). * STATES[2] is q_K_epi in component main (mole). * CONSTANTS[9] is q_K_cap in component main (mole). * ALGEBRAIC[5] is c_K_epi in component main (mM). * CONSTANTS[37] is c_K_cap in component main (mM). * STATES[3] is q_Cl_epi in component main (mole). * CONSTANTS[10] is q_Cl_cap in component main (mole). * ALGEBRAIC[6] is c_Cl_epi in component main (mM). * CONSTANTS[38] is c_Cl_cap in component main (mM). * STATES[4] is q_e in component main (coulomb). * CONSTANTS[11] is u_ee in component main (J_per_C). * ALGEBRAIC[7] is u_e in component main (J_per_C). * CONSTANTS[12] is C_m in component main (C2_per_J). * ALGEBRAIC[8] is q_Glc_gut in component main (mole). * STATES[5] is q_Glc_epi in component main (mole). * CONSTANTS[13] is q_Glc_cap in component main (mole). * CONSTANTS[14] is q_Glc_gut_init in component main (mole). * CONSTANTS[15] is q_Glc_gut_scale in component main (dimensionless). * ALGEBRAIC[9] is c_Glc_gut in component main (mM). * ALGEBRAIC[10] is c_Glc_epi in component main (mM). * CONSTANTS[39] is c_Glc_cap in component main (mM). * CONSTANTS[16] is u_w_gut in component main (kPa). * CONSTANTS[40] is u_w_epi in component main (kPa). * CONSTANTS[17] is u_w_cap in component main (kPa). * CONSTANTS[18] is E_w_epi in component main (joule). * CONSTANTS[19] is U_w_epi in component main (litre). * CONSTANTS[20] is L_w_epi in component main (litre). * ALGEBRAIC[11] is v_w_epiApex in component main (L_per_s). * ALGEBRAIC[12] is v_w_epiBase in component main (L_per_s). * CONSTANTS[21] is k_w_m in component main (L_per_s_per_kPa). * CONSTANTS[22] is c_O2 in component main (mM). * CONSTANTS[23] is c_CO2 in component main (mM). * CONSTANTS[24] 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[25] is q_H in component main (mole). * ALGEBRAIC[13] is q_adenosine in component main (mole). * ALGEBRAIC[14] is c_ATP in component main (mM). * ALGEBRAIC[15] is c_ADP in component main (mM). * ALGEBRAIC[16] is c_Pi in component main (mM). * CONSTANTS[41] is c_H in component main (mM). * CONSTANTS[26] is kappa_SGLT1 in component main (mol_per_s). * ALGEBRAIC[17] is v_SGLT1 in component main (mol_per_s). * CONSTANTS[27] is kappa_GLUT2 in component main (mol_per_s). * ALGEBRAIC[18] is v_GLUT2 in component main (mol_per_s). * CONSTANTS[28] is k_ATP_eq in component main (mM2). * CONSTANTS[29] is kappa_NKE in component main (mol_per_s). * ALGEBRAIC[19] is v_NKE in component main (mol_per_s). * CONSTANTS[30] is kappa_NKCC1 in component main (mol_per_s). * ALGEBRAIC[20] is v_NKCC1 in component main (mol_per_s). * CONSTANTS[31] is kappa_KCC1 in component main (mol_per_s). * ALGEBRAIC[21] is v_KCC1 in component main (mol_per_s). * CONSTANTS[32] is kappa_K in component main (C_per_J_per_s). * ALGEBRAIC[23] is v_K in component main (mol_per_s). * ALGEBRAIC[22] is GHKterm in component main (J_per_C). * CONSTANTS[33] is kappa_Na in component main (per_s_per_V). * ALGEBRAIC[24] is v_Na in component main (mol_per_s). * CONSTANTS[34] is k_AM_eq in component main (per_mM). * CONSTANTS[35] is kappa_AM in component main (mol_per_s). * ALGEBRAIC[25] is v_AM in component main (mol_per_s). * ALGEBRAIC[26] is u_SGLT1_reversal in component main (J_per_C). * ALGEBRAIC[27] is u_K_reversal in component main (J_per_C). * ALGEBRAIC[28] is u_Na_reversal in component main (J_per_C). * ALGEBRAIC[29] is c_Na_gutThreshold in component main (mM). * ALGEBRAIC[30] is c_Na_epiEquilibrium in component main (mM). * ALGEBRAIC[31] 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). * There are a total of 2 condition variables. */ void initConsts(double* CONSTANTS, double* RATES, double *STATES) { CONSTANTS[0] = 0.1; CONSTANTS[1] = 2.5e3; CONSTANTS[2] = 0.965e5; CONSTANTS[3] = 1; CONSTANTS[4] = 1; CONSTANTS[5] = 1; STATES[0] = 0.1; STATES[1] = 0.001; CONSTANTS[6] = 0.140; CONSTANTS[7] = 1.0; CONSTANTS[8] = 1.e3; STATES[2] = 0.130; CONSTANTS[9] = 0.004; STATES[3] = 0.001; CONSTANTS[10] = 0.100; STATES[4] = 1e-5; CONSTANTS[11] = -0.08; CONSTANTS[12] = 5e4; STATES[5] = 0.001; CONSTANTS[13] = 0.01; CONSTANTS[14] = 0.01; CONSTANTS[15] = 1.0; CONSTANTS[16] = 1; CONSTANTS[17] = 1; CONSTANTS[18] = 1; CONSTANTS[19] = 0.5; CONSTANTS[20] = 5; CONSTANTS[21] = 1e-4; CONSTANTS[22] = 9.25; CONSTANTS[23] = 1.20; CONSTANTS[24] = 25.0; STATES[6] = 0.003; STATES[7] = 0.0025; STATES[8] = 0.003; CONSTANTS[25] = 1e-7; CONSTANTS[26] = 1e-2; CONSTANTS[27] = 1e1; CONSTANTS[28] = 2e4; CONSTANTS[29] = 1e2; CONSTANTS[30] = 1e-1; CONSTANTS[31] = 1e-1; CONSTANTS[32] = 2e3; CONSTANTS[33] = 0; CONSTANTS[34] = 1e0; CONSTANTS[35] = 1e1; CONSTANTS[36] = CONSTANTS[3]+CONSTANTS[4]+CONSTANTS[5]; CONSTANTS[37] = ( CONSTANTS[9]*CONSTANTS[8])/CONSTANTS[5]; CONSTANTS[38] = ( CONSTANTS[10]*CONSTANTS[8])/CONSTANTS[5]; CONSTANTS[39] = ( CONSTANTS[13]*CONSTANTS[8])/CONSTANTS[5]; CONSTANTS[40] = ( CONSTANTS[18]*(CONSTANTS[4] - CONSTANTS[19]))/pow(CONSTANTS[20] - CONSTANTS[4], 2.00000); CONSTANTS[41] = ( CONSTANTS[25]*CONSTANTS[8])/CONSTANTS[4]; 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; RATES[7] = 0.1001; RATES[8] = 0.1001; } void computeResiduals(double VOI, double* CONSTANTS, double* RATES, double* OLDRATES, double* STATES, double* OLDSTATES, double* ALGEBRAIC, double* CONDVARS) { resid[0] = RATES[0] - - 2.00000*ALGEBRAIC[17]; resid[1] = RATES[1] - ( 2.00000*ALGEBRAIC[17] - 3.00000*ALGEBRAIC[19])+ALGEBRAIC[20]+ALGEBRAIC[24]; resid[2] = RATES[2] - (( 2.00000*ALGEBRAIC[19] - ALGEBRAIC[23])+ALGEBRAIC[20]) - ALGEBRAIC[21]; resid[3] = RATES[3] - 2.00000*ALGEBRAIC[20] - ALGEBRAIC[21]; resid[4] = RATES[4] - CONSTANTS[2]*((( 2.00000*ALGEBRAIC[17] - ALGEBRAIC[19]) - ALGEBRAIC[23])+ALGEBRAIC[24]); resid[5] = RATES[5] - (ALGEBRAIC[17] - ALGEBRAIC[18]) - ALGEBRAIC[25]; resid[6] = RATES[6] - - ALGEBRAIC[19]+ 32.0000*ALGEBRAIC[25]; resid[7] = RATES[7] - ALGEBRAIC[19] - 32.0000*ALGEBRAIC[25]; resid[8] = RATES[8] - ALGEBRAIC[19] - 32.0000*ALGEBRAIC[25]; } void computeVariables(double VOI, double* CONSTANTS, double* RATES, double* STATES, double* ALGEBRAIC) { ALGEBRAIC[4] = STATES[0]+STATES[1]+ALGEBRAIC[0]; ALGEBRAIC[11] = CONSTANTS[21]*((CONSTANTS[16] - CONSTANTS[40]) - (CONSTANTS[1]/CONSTANTS[8])*(ALGEBRAIC[1] - ALGEBRAIC[2])); ALGEBRAIC[12] = CONSTANTS[21]*((CONSTANTS[40] - CONSTANTS[17]) - (CONSTANTS[1]/CONSTANTS[8])*(ALGEBRAIC[2] - ALGEBRAIC[3])); ALGEBRAIC[13] = STATES[6]+STATES[7]; ALGEBRAIC[26] = (CONSTANTS[1]/( 2.00000*CONSTANTS[2]))*log(( pow(ALGEBRAIC[1]/ALGEBRAIC[2], 2.00000)*ALGEBRAIC[9])/ALGEBRAIC[10]); ALGEBRAIC[27] = (CONSTANTS[1]/CONSTANTS[2])*log(CONSTANTS[37]/ALGEBRAIC[5]); ALGEBRAIC[28] = (CONSTANTS[1]/CONSTANTS[2])*log(ALGEBRAIC[3]/ALGEBRAIC[2]); ALGEBRAIC[29] = ALGEBRAIC[2]* pow((ALGEBRAIC[10]/ALGEBRAIC[9]), 1.0 / 2)*exp(( CONSTANTS[2]*ALGEBRAIC[7])/CONSTANTS[1]); ALGEBRAIC[30] = ALGEBRAIC[3]*pow(( (ALGEBRAIC[15]/ALGEBRAIC[14])*ALGEBRAIC[16]*CONSTANTS[41])/CONSTANTS[28], 0.333340)*pow(ALGEBRAIC[5]/CONSTANTS[37], 0.666670)*exp(( CONSTANTS[2]*ALGEBRAIC[7])/( 3.00000*CONSTANTS[1])); ALGEBRAIC[31] = CONSTANTS[38]* pow((( (ALGEBRAIC[3]/ALGEBRAIC[2])*CONSTANTS[37])/ALGEBRAIC[5]), 1.0 / 2); } void computeEssentialVariables(double VOI, double* CONSTANTS, double* RATES, double* STATES, double* ALGEBRAIC) { ALGEBRAIC[1] = ( STATES[0]*CONSTANTS[8])/CONSTANTS[3]; ALGEBRAIC[2] = ( STATES[1]*CONSTANTS[8])/CONSTANTS[4]; ALGEBRAIC[7] = STATES[4]/CONSTANTS[12]; ALGEBRAIC[8] = (CONDVAR[1]>0.00000 ? CONSTANTS[14]*CONSTANTS[15] : CONSTANTS[14]); ALGEBRAIC[9] = ( ALGEBRAIC[8]*CONSTANTS[8])/CONSTANTS[3]; ALGEBRAIC[10] = ( STATES[5]*CONSTANTS[8])/CONSTANTS[4]; ALGEBRAIC[17] = ( CONSTANTS[26]*(( pow(ALGEBRAIC[1]/ALGEBRAIC[2], 2.00000)*ALGEBRAIC[9])/ALGEBRAIC[10] - exp(( 2.00000*CONSTANTS[2]*ALGEBRAIC[7])/CONSTANTS[1])))/( (1.00000+pow(ALGEBRAIC[1]/20.0000, 2.00000))*(1.00000+pow(ALGEBRAIC[2]/100.000, 2.00000))); ALGEBRAIC[18] = ( CONSTANTS[27]*(ALGEBRAIC[10]/CONSTANTS[39] - 1.00000))/(1.00000+ALGEBRAIC[10]/5.00000+CONSTANTS[39]/10.0000+( ALGEBRAIC[10]*CONSTANTS[39])/100.000); ALGEBRAIC[0] = (CONDVAR[0]>0.00000 ? CONSTANTS[6]*CONSTANTS[7] : CONSTANTS[6]); ALGEBRAIC[3] = ( ALGEBRAIC[0]*CONSTANTS[8])/CONSTANTS[5]; ALGEBRAIC[5] = ( STATES[2]*CONSTANTS[8])/CONSTANTS[4]; ALGEBRAIC[14] = ( STATES[6]*CONSTANTS[8])/CONSTANTS[4]; ALGEBRAIC[15] = ( STATES[7]*CONSTANTS[8])/CONSTANTS[4]; ALGEBRAIC[16] = ( STATES[8]*CONSTANTS[8])/CONSTANTS[4]; ALGEBRAIC[19] = ( CONSTANTS[29]*(( pow(ALGEBRAIC[2]/ALGEBRAIC[3], 3.00000)*ALGEBRAIC[14]*CONSTANTS[28])/( ALGEBRAIC[15]*ALGEBRAIC[16]*CONSTANTS[41]) - pow(ALGEBRAIC[5]/CONSTANTS[37], 2.00000)*exp(( CONSTANTS[2]*ALGEBRAIC[7])/CONSTANTS[1])))/( (1.00000+pow(ALGEBRAIC[2]/1.00000, 3.00000))*(1.00000+pow(ALGEBRAIC[3]/100.000, 3.00000))); ALGEBRAIC[6] = ( STATES[3]*CONSTANTS[8])/CONSTANTS[4]; ALGEBRAIC[20] = ( CONSTANTS[30]*( (( (ALGEBRAIC[3]/ALGEBRAIC[2])*CONSTANTS[37])/ALGEBRAIC[5])*pow(CONSTANTS[38]/ALGEBRAIC[6], 2.00000) - 1.00000))/( (1.00000+ALGEBRAIC[3]/70.0000)*(1.00000+ALGEBRAIC[2]/5.00000)*(1.00000+CONSTANTS[37]/2.00000)*(1.00000+ALGEBRAIC[5]/60.0000)*(1.00000+pow(CONSTANTS[38]/50.0000, 2.00000))*(1.00000+pow(ALGEBRAIC[6]/10.0000, 2.00000))); ALGEBRAIC[21] = ( CONSTANTS[31]*(( (ALGEBRAIC[5]/CONSTANTS[37])*ALGEBRAIC[6])/CONSTANTS[38] - 1.00000))/( (1.00000+CONSTANTS[38]/50.0000)*(1.00000+CONSTANTS[37]/2.00000)*(1.00000+ALGEBRAIC[6]/10.0000)*(1.00000+ALGEBRAIC[5]/60.0000)); ALGEBRAIC[22] = ALGEBRAIC[7]/(exp(( CONSTANTS[2]*ALGEBRAIC[7])/CONSTANTS[1]) - 1.00000); ALGEBRAIC[23] = CONSTANTS[32]*( STATES[2]*exp(( CONSTANTS[2]*ALGEBRAIC[7])/CONSTANTS[1]) - CONSTANTS[9])*ALGEBRAIC[22]; ALGEBRAIC[24] = CONSTANTS[33]*(ALGEBRAIC[0] - STATES[1]*exp(( CONSTANTS[2]*ALGEBRAIC[7])/CONSTANTS[1]))*ALGEBRAIC[22]; ALGEBRAIC[25] = CONSTANTS[35]*(( CONSTANTS[34]*ALGEBRAIC[10]*ALGEBRAIC[15])/ALGEBRAIC[14] - 1.00000); } 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; SI[7] = 1.0; SI[8] = 1.0; } void computeRoots(double VOI, double* CONSTANTS, double* RATES, double* OLDRATES, double* STATES, double* OLDSTATES, double* ALGEBRAIC, double* CONDVARS) { CONDVAR[0] = VOI - CONSTANTS[0]; CONDVAR[1] = VOI - CONSTANTS[0]; }