Generated Code
The following is matlab code generated by the CellML API from this CellML file. (Back to language selection)
The raw code is available.
function [VOI, STATES, ALGEBRAIC, CONSTANTS] = mainFunction()
% This is the "main function". In Matlab, things work best if you rename this function to match the filename.
[VOI, STATES, ALGEBRAIC, CONSTANTS] = solveModel();
end
function [algebraicVariableCount] = getAlgebraicVariableCount()
% Used later when setting a global variable with the number of algebraic variables.
% Note: This is not the "main method".
algebraicVariableCount =35;
end
% There are a total of 16 entries in each of the rate and state variable arrays.
% There are a total of 134 entries in the constant variable array.
%
function [VOI, STATES, ALGEBRAIC, CONSTANTS] = solveModel()
% Create ALGEBRAIC of correct size
global algebraicVariableCount; algebraicVariableCount = getAlgebraicVariableCount();
% Initialise constants and state variables
[INIT_STATES, CONSTANTS] = initConsts;
% Set timespan to solve over
tspan = [0, 10];
% Set numerical accuracy options for ODE solver
options = odeset('RelTol', 1e-06, 'AbsTol', 1e-06, 'MaxStep', 1);
% Solve model with ODE solver
[VOI, STATES] = ode15s(@(VOI, STATES)computeRates(VOI, STATES, CONSTANTS), tspan, INIT_STATES, options);
% Compute algebraic variables
[RATES, ALGEBRAIC] = computeRates(VOI, STATES, CONSTANTS);
ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, VOI);
% Plot state variables against variable of integration
[LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends();
figure();
plot(VOI, STATES);
xlabel(LEGEND_VOI);
l = legend(LEGEND_STATES);
set(l,'Interpreter','none');
end
function [LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends()
LEGEND_STATES = ''; LEGEND_ALGEBRAIC = ''; LEGEND_VOI = ''; LEGEND_CONSTANTS = '';
LEGEND_VOI = strpad('time in component environment (second)');
LEGEND_STATES(:,1) = strpad('ADP_m in component ADP_m (millimolar)');
LEGEND_ALGEBRAIC(:,33) = strpad('V_ANT in component calcium_dynamics (flux)');
LEGEND_ALGEBRAIC(:,31) = strpad('V_ATPase in component oxidative_phosphorylation (flux)');
LEGEND_ALGEBRAIC(:,12) = strpad('V_SL in component V_SL (flux)');
LEGEND_STATES(:,2) = strpad('NADH in component NADH (millimolar)');
LEGEND_ALGEBRAIC(:,27) = strpad('V_O2 in component oxidative_phosphorylation (flux)');
LEGEND_ALGEBRAIC(:,10) = strpad('V_IDH in component V_IDH (flux)');
LEGEND_ALGEBRAIC(:,11) = strpad('V_KGDH in component V_KGDH (flux)');
LEGEND_ALGEBRAIC(:,14) = strpad('V_MDH in component V_MDH (flux)');
LEGEND_STATES(:,3) = strpad('ISOC in component ISOC (millimolar)');
LEGEND_ALGEBRAIC(:,9) = strpad('V_ACO in component V_ACO (flux)');
LEGEND_STATES(:,4) = strpad('alpha_KG in component alpha_KG (millimolar)');
LEGEND_ALGEBRAIC(:,16) = strpad('V_AAT in component V_AAT (flux)');
LEGEND_STATES(:,5) = strpad('SCoA in component SCoA (millimolar)');
LEGEND_STATES(:,6) = strpad('Suc in component Suc (millimolar)');
LEGEND_ALGEBRAIC(:,13) = strpad('V_SDH in component V_SDH (flux)');
LEGEND_STATES(:,7) = strpad('FUM in component FUM (millimolar)');
LEGEND_ALGEBRAIC(:,17) = strpad('V_FH in component V_FH (flux)');
LEGEND_STATES(:,8) = strpad('MAL in component MAL (millimolar)');
LEGEND_STATES(:,9) = strpad('OAA in component OAA (millimolar)');
LEGEND_ALGEBRAIC(:,8) = strpad('V_CS in component V_CS (flux)');
LEGEND_STATES(:,10) = strpad('ASP in component ASP (millimolar)');
LEGEND_ALGEBRAIC(:,19) = strpad('V_C_ASP in component V_C_ASP (flux)');
LEGEND_STATES(:,11) = strpad('Ca_m in component Ca_m (micromolar)');
LEGEND_CONSTANTS(:,1) = strpad('f in component Ca_m (dimensionless)');
LEGEND_ALGEBRAIC(:,34) = strpad('V_uni in component calcium_dynamics (flux)');
LEGEND_ALGEBRAIC(:,35) = strpad('V_NaCa in component calcium_dynamics (flux)');
LEGEND_ALGEBRAIC(:,2) = strpad('Ca_i in component Ca_i (micromolar)');
LEGEND_CONSTANTS(:,2) = strpad('stim_start in component Ca_i (second)');
LEGEND_CONSTANTS(:,3) = strpad('stim_end in component Ca_i (second)');
LEGEND_ALGEBRAIC(:,1) = strpad('stim_period in component Ca_i (second)');
LEGEND_CONSTANTS(:,4) = strpad('stim_duration in component Ca_i (second)');
LEGEND_CONSTANTS(:,5) = strpad('pulse_value in component Ca_i (micromolar)');
LEGEND_CONSTANTS(:,6) = strpad('Na_i in component Na_i (millimolar)');
LEGEND_CONSTANTS(:,7) = strpad('ATP_i in component ATP_i (millimolar)');
LEGEND_ALGEBRAIC(:,3) = strpad('ATP_m in component ATP_m (millimolar)');
LEGEND_CONSTANTS(:,8) = strpad('Cm in component ATP_m (millimolar)');
LEGEND_ALGEBRAIC(:,4) = strpad('ADP_i in component ADP_i (millimolar)');
LEGEND_CONSTANTS(:,9) = strpad('pulse_value in component ADP_i (millimolar)');
LEGEND_CONSTANTS(:,10) = strpad('GLU in component GLU (millimolar)');
LEGEND_CONSTANTS(:,11) = strpad('Mg in component Mg (millimolar)');
LEGEND_CONSTANTS(:,12) = strpad('H in component H (millimolar)');
LEGEND_CONSTANTS(:,13) = strpad('Pi in component Pi (millimolar)');
LEGEND_CONSTANTS(:,14) = strpad('CoA in component CoA (millimolar)');
LEGEND_CONSTANTS(:,15) = strpad('AcCoA in component AcCoA (millimolar)');
LEGEND_CONSTANTS(:,16) = strpad('FAD in component FAD (millimolar)');
LEGEND_CONSTANTS(:,17) = strpad('FADH2 in component FADH2 (millimolar)');
LEGEND_ALGEBRAIC(:,5) = strpad('NAD in component NAD (millimolar)');
LEGEND_CONSTANTS(:,18) = strpad('C_PN in component NAD (millimolar)');
LEGEND_CONSTANTS(:,19) = strpad('NADPH in component NADPH (millimolar)');
LEGEND_STATES(:,12) = strpad('O2_m in component O2_m (millimolar)');
LEGEND_CONSTANTS(:,20) = strpad('shunt in component O2_m (dimensionless)');
LEGEND_ALGEBRAIC(:,21) = strpad('VTr_ROS in component VTr_ROS (flux)');
LEGEND_STATES(:,13) = strpad('O2_i in component O2_i (millimolar)');
LEGEND_ALGEBRAIC(:,15) = strpad('V_SOD in component V_SOD (flux)');
LEGEND_STATES(:,14) = strpad('H2O2 in component H2O2 (millimolar)');
LEGEND_ALGEBRAIC(:,20) = strpad('V_CAT in component V_CAT (flux)');
LEGEND_ALGEBRAIC(:,22) = strpad('V_GPX in component V_GPX (flux)');
LEGEND_STATES(:,15) = strpad('GSH in component GSH (millimolar)');
LEGEND_ALGEBRAIC(:,24) = strpad('V_GR in component V_GR (flux)');
LEGEND_ALGEBRAIC(:,6) = strpad('GSSG in component GSSG (millimolar)');
LEGEND_CONSTANTS(:,21) = strpad('GT in component GSSG (millimolar)');
LEGEND_ALGEBRAIC(:,7) = strpad('CIT in component CIT (millimolar)');
LEGEND_CONSTANTS(:,22) = strpad('C_Kint in component CIT (millimolar)');
LEGEND_STATES(:,16) = strpad('delta_psi_m in component mitochondrial_membrane (volt)');
LEGEND_CONSTANTS(:,23) = strpad('R in component mitochondrial_membrane (volt_coulomb_per_mole_kelvin)');
LEGEND_CONSTANTS(:,24) = strpad('T in component mitochondrial_membrane (kelvin)');
LEGEND_CONSTANTS(:,25) = strpad('F in component mitochondrial_membrane (coulomb_per_mole)');
LEGEND_CONSTANTS(:,26) = strpad('C_mito in component mitochondrial_membrane (millimolar_per_volt)');
LEGEND_ALGEBRAIC(:,26) = strpad('V_He in component oxidative_phosphorylation (flux)');
LEGEND_ALGEBRAIC(:,28) = strpad('V_He_F in component oxidative_phosphorylation (flux)');
LEGEND_ALGEBRAIC(:,32) = strpad('V_Hu in component oxidative_phosphorylation (flux)');
LEGEND_ALGEBRAIC(:,29) = strpad('V_Hleak in component oxidative_phosphorylation (flux)');
LEGEND_CONSTANTS(:,27) = strpad('Km_AcCoA in component V_CS (millimolar)');
LEGEND_CONSTANTS(:,28) = strpad('Km_OAA in component V_CS (millimolar)');
LEGEND_CONSTANTS(:,29) = strpad('Kcat_CS in component V_CS (first_order_rate_constant)');
LEGEND_CONSTANTS(:,30) = strpad('ET_CS in component V_CS (millimolar)');
LEGEND_CONSTANTS(:,31) = strpad('Kf_ACO in component V_ACO (first_order_rate_constant)');
LEGEND_CONSTANTS(:,32) = strpad('KE_ACO in component V_ACO (dimensionless)');
LEGEND_CONSTANTS(:,33) = strpad('Kh_1 in component V_IDH (millimolar)');
LEGEND_CONSTANTS(:,34) = strpad('Kh_2 in component V_IDH (millimolar)');
LEGEND_CONSTANTS(:,35) = strpad('Km_ISOC in component V_IDH (millimolar)');
LEGEND_CONSTANTS(:,36) = strpad('Ka_ADP in component V_IDH (millimolar)');
LEGEND_CONSTANTS(:,37) = strpad('Ka_Ca in component V_IDH (micromolar)');
LEGEND_CONSTANTS(:,38) = strpad('Km_NAD in component V_IDH (millimolar)');
LEGEND_CONSTANTS(:,39) = strpad('Ki_NADH in component V_IDH (millimolar)');
LEGEND_CONSTANTS(:,40) = strpad('Kcat_IDH in component V_IDH (first_order_rate_constant)');
LEGEND_CONSTANTS(:,41) = strpad('ET_IDH in component V_IDH (millimolar)');
LEGEND_CONSTANTS(:,42) = strpad('ni in component V_IDH (dimensionless)');
LEGEND_CONSTANTS(:,43) = strpad('Km_alpha_KG in component V_KGDH (millimolar)');
LEGEND_CONSTANTS(:,44) = strpad('Kcat_KGDH in component V_KGDH (first_order_rate_constant)');
LEGEND_CONSTANTS(:,45) = strpad('ET_KGDH in component V_KGDH (millimolar)');
LEGEND_CONSTANTS(:,46) = strpad('Kd_Mg in component V_KGDH (millimolar)');
LEGEND_CONSTANTS(:,47) = strpad('Kd_Ca in component V_KGDH (micromolar)');
LEGEND_CONSTANTS(:,48) = strpad('n_alpha_KG in component V_KGDH (dimensionless)');
LEGEND_CONSTANTS(:,49) = strpad('Km_NAD in component V_KGDH (millimolar)');
LEGEND_CONSTANTS(:,50) = strpad('kf_SL in component V_SL (second_order_rate_constant)');
LEGEND_CONSTANTS(:,51) = strpad('Ke_SL in component V_SL (millimolar)');
LEGEND_CONSTANTS(:,52) = strpad('Kisdh_OAA in component V_SDH (millimolar)');
LEGEND_CONSTANTS(:,53) = strpad('Kcat_SDH in component V_SDH (first_order_rate_constant)');
LEGEND_CONSTANTS(:,54) = strpad('ET_SDH in component V_SDH (millimolar)');
LEGEND_CONSTANTS(:,55) = strpad('Km_Suc in component V_SDH (millimolar)');
LEGEND_CONSTANTS(:,56) = strpad('Ki_FUM in component V_SDH (millimolar)');
LEGEND_CONSTANTS(:,57) = strpad('Km_MAL in component V_MDH (millimolar)');
LEGEND_CONSTANTS(:,58) = strpad('Kcat_MDH in component V_MDH (first_order_rate_constant)');
LEGEND_CONSTANTS(:,59) = strpad('ET_MDH in component V_MDH (millimolar)');
LEGEND_CONSTANTS(:,60) = strpad('Ki_OAA in component V_MDH (millimolar)');
LEGEND_CONSTANTS(:,133) = strpad('fh_a in component V_MDH (dimensionless)');
LEGEND_CONSTANTS(:,134) = strpad('fh_i in component V_MDH (dimensionless)');
LEGEND_CONSTANTS(:,61) = strpad('Km_NAD in component V_MDH (millimolar)');
LEGEND_CONSTANTS(:,62) = strpad('kh1 in component V_MDH (millimolar)');
LEGEND_CONSTANTS(:,63) = strpad('kh2 in component V_MDH (millimolar)');
LEGEND_CONSTANTS(:,64) = strpad('kh3 in component V_MDH (millimolar)');
LEGEND_CONSTANTS(:,65) = strpad('kh4 in component V_MDH (millimolar)');
LEGEND_CONSTANTS(:,66) = strpad('k_offset in component V_MDH (dimensionless)');
LEGEND_CONSTANTS(:,67) = strpad('Ke_FH in component V_FH (dimensionless)');
LEGEND_CONSTANTS(:,68) = strpad('kf_FH in component V_FH (first_order_rate_constant)');
LEGEND_CONSTANTS(:,69) = strpad('Ke_AAT in component V_AAT (dimensionless)');
LEGEND_CONSTANTS(:,70) = strpad('kf_AAT in component V_AAT (second_order_rate_constant)');
LEGEND_CONSTANTS(:,71) = strpad('k_C_ASP in component V_C_ASP (first_order_rate_constant)');
LEGEND_CONSTANTS(:,72) = strpad('k1_SOD in component V_SOD (second_order_rate_constant)');
LEGEND_CONSTANTS(:,73) = strpad('k3_SOD in component V_SOD (second_order_rate_constant)');
LEGEND_CONSTANTS(:,74) = strpad('k5_SOD in component V_SOD (first_order_rate_constant)');
LEGEND_CONSTANTS(:,75) = strpad('ET_SOD in component V_SOD (millimolar)');
LEGEND_CONSTANTS(:,76) = strpad('Ki_H2O2 in component V_SOD (millimolar)');
LEGEND_CONSTANTS(:,77) = strpad('k1_CAT in component V_CAT (second_order_rate_constant)');
LEGEND_CONSTANTS(:,78) = strpad('ET_CAT in component V_CAT (millimolar)');
LEGEND_CONSTANTS(:,79) = strpad('fr in component V_CAT (per_millimolar)');
LEGEND_CONSTANTS(:,80) = strpad('phi1_GPX in component V_GPX (millimolar_second)');
LEGEND_CONSTANTS(:,81) = strpad('phi2_GPX in component V_GPX (millimolar_second)');
LEGEND_CONSTANTS(:,82) = strpad('ET_GPX in component V_GPX (millimolar)');
LEGEND_CONSTANTS(:,83) = strpad('k1_GR in component V_GR (first_order_rate_constant)');
LEGEND_CONSTANTS(:,84) = strpad('KM_GSSG in component V_GR (millimolar)');
LEGEND_CONSTANTS(:,85) = strpad('KM_NADPH in component V_GR (millimolar)');
LEGEND_CONSTANTS(:,86) = strpad('ET_GR in component V_GR (millimolar)');
LEGEND_ALGEBRAIC(:,18) = strpad('V_IMAC in component V_IMAC (flux)');
LEGEND_CONSTANTS(:,87) = strpad('Gmax in component V_IMAC (millimolar_per_second_volt)');
LEGEND_CONSTANTS(:,88) = strpad('GL in component V_IMAC (millimolar_per_second_volt)');
LEGEND_CONSTANTS(:,89) = strpad('a in component V_IMAC (dimensionless)');
LEGEND_CONSTANTS(:,90) = strpad('b in component V_IMAC (dimensionless)');
LEGEND_CONSTANTS(:,91) = strpad('kappa in component V_IMAC (per_volt)');
LEGEND_CONSTANTS(:,92) = strpad('delta_psi_bm in component V_IMAC (volt)');
LEGEND_CONSTANTS(:,93) = strpad('Kcc in component V_IMAC (millimolar)');
LEGEND_CONSTANTS(:,94) = strpad('j in component VTr_ROS (dimensionless)');
LEGEND_CONSTANTS(:,95) = strpad('rho_res in component oxidative_phosphorylation (millimolar)');
LEGEND_CONSTANTS(:,96) = strpad('rho_res_F in component oxidative_phosphorylation (millimolar)');
LEGEND_CONSTANTS(:,97) = strpad('ra in component oxidative_phosphorylation (first_order_rate_constant)');
LEGEND_CONSTANTS(:,98) = strpad('rc1 in component oxidative_phosphorylation (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,23) = strpad('Ares in component oxidative_phosphorylation (volt)');
LEGEND_CONSTANTS(:,132) = strpad('Ares_F in component oxidative_phosphorylation (volt)');
LEGEND_CONSTANTS(:,99) = strpad('r1 in component oxidative_phosphorylation (dimensionless)');
LEGEND_CONSTANTS(:,100) = strpad('r2 in component oxidative_phosphorylation (dimensionless)');
LEGEND_CONSTANTS(:,101) = strpad('r3 in component oxidative_phosphorylation (dimensionless)');
LEGEND_CONSTANTS(:,102) = strpad('rb in component oxidative_phosphorylation (first_order_rate_constant)');
LEGEND_CONSTANTS(:,103) = strpad('rc2 in component oxidative_phosphorylation (first_order_rate_constant)');
LEGEND_CONSTANTS(:,104) = strpad('Kres in component oxidative_phosphorylation (dimensionless)');
LEGEND_CONSTANTS(:,105) = strpad('Kres_F in component oxidative_phosphorylation (dimensionless)');
LEGEND_CONSTANTS(:,106) = strpad('gH in component oxidative_phosphorylation (millimolar_per_second_volt)');
LEGEND_CONSTANTS(:,107) = strpad('delta_psi_B in component oxidative_phosphorylation (volt)');
LEGEND_CONSTANTS(:,108) = strpad('g in component oxidative_phosphorylation (dimensionless)');
LEGEND_ALGEBRAIC(:,25) = strpad('delta_mu_H in component oxidative_phosphorylation (volt)');
LEGEND_CONSTANTS(:,109) = strpad('delta_pH in component oxidative_phosphorylation (dimensionless)');
LEGEND_CONSTANTS(:,110) = strpad('rho_F1 in component oxidative_phosphorylation (millimolar)');
LEGEND_CONSTANTS(:,111) = strpad('pa in component oxidative_phosphorylation (first_order_rate_constant)');
LEGEND_CONSTANTS(:,112) = strpad('pc1 in component oxidative_phosphorylation (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,30) = strpad('AF1 in component oxidative_phosphorylation (volt)');
LEGEND_CONSTANTS(:,113) = strpad('p1 in component oxidative_phosphorylation (dimensionless)');
LEGEND_CONSTANTS(:,114) = strpad('p2 in component oxidative_phosphorylation (dimensionless)');
LEGEND_CONSTANTS(:,115) = strpad('p3 in component oxidative_phosphorylation (dimensionless)');
LEGEND_CONSTANTS(:,116) = strpad('pb in component oxidative_phosphorylation (first_order_rate_constant)');
LEGEND_CONSTANTS(:,117) = strpad('pc2 in component oxidative_phosphorylation (first_order_rate_constant)');
LEGEND_CONSTANTS(:,118) = strpad('KF1 in component oxidative_phosphorylation (millimolar)');
LEGEND_CONSTANTS(:,119) = strpad('h in component calcium_dynamics (dimensionless)');
LEGEND_CONSTANTS(:,120) = strpad('delta_psi_0 in component calcium_dynamics (volt)');
LEGEND_CONSTANTS(:,121) = strpad('Vmax_ANT in component calcium_dynamics (flux)');
LEGEND_CONSTANTS(:,122) = strpad('L in component calcium_dynamics (dimensionless)');
LEGEND_CONSTANTS(:,123) = strpad('na in component calcium_dynamics (dimensionless)');
LEGEND_CONSTANTS(:,124) = strpad('Vmax_uni in component calcium_dynamics (flux)');
LEGEND_CONSTANTS(:,125) = strpad('K_act in component calcium_dynamics (micromolar)');
LEGEND_CONSTANTS(:,126) = strpad('K_trans in component calcium_dynamics (micromolar)');
LEGEND_CONSTANTS(:,127) = strpad('n in component calcium_dynamics (dimensionless)');
LEGEND_CONSTANTS(:,128) = strpad('Vmax_NaCa in component calcium_dynamics (flux)');
LEGEND_CONSTANTS(:,129) = strpad('KNa in component calcium_dynamics (millimolar)');
LEGEND_CONSTANTS(:,130) = strpad('KCa in component calcium_dynamics (micromolar)');
LEGEND_CONSTANTS(:,131) = strpad('b in component calcium_dynamics (dimensionless)');
LEGEND_RATES(:,1) = strpad('d/dt ADP_m in component ADP_m (millimolar)');
LEGEND_RATES(:,2) = strpad('d/dt NADH in component NADH (millimolar)');
LEGEND_RATES(:,3) = strpad('d/dt ISOC in component ISOC (millimolar)');
LEGEND_RATES(:,4) = strpad('d/dt alpha_KG in component alpha_KG (millimolar)');
LEGEND_RATES(:,5) = strpad('d/dt SCoA in component SCoA (millimolar)');
LEGEND_RATES(:,6) = strpad('d/dt Suc in component Suc (millimolar)');
LEGEND_RATES(:,7) = strpad('d/dt FUM in component FUM (millimolar)');
LEGEND_RATES(:,8) = strpad('d/dt MAL in component MAL (millimolar)');
LEGEND_RATES(:,9) = strpad('d/dt OAA in component OAA (millimolar)');
LEGEND_RATES(:,10) = strpad('d/dt ASP in component ASP (millimolar)');
LEGEND_RATES(:,11) = strpad('d/dt Ca_m in component Ca_m (micromolar)');
LEGEND_RATES(:,12) = strpad('d/dt O2_m in component O2_m (millimolar)');
LEGEND_RATES(:,13) = strpad('d/dt O2_i in component O2_i (millimolar)');
LEGEND_RATES(:,14) = strpad('d/dt H2O2 in component H2O2 (millimolar)');
LEGEND_RATES(:,15) = strpad('d/dt GSH in component GSH (millimolar)');
LEGEND_RATES(:,16) = strpad('d/dt delta_psi_m in component mitochondrial_membrane (volt)');
LEGEND_STATES = LEGEND_STATES';
LEGEND_ALGEBRAIC = LEGEND_ALGEBRAIC';
LEGEND_RATES = LEGEND_RATES';
LEGEND_CONSTANTS = LEGEND_CONSTANTS';
end
function [STATES, CONSTANTS] = initConsts()
VOI = 0; CONSTANTS = []; STATES = []; ALGEBRAIC = [];
STATES(:,1) = 0.1;
STATES(:,2) = 0.01;
STATES(:,3) = 0.01;
STATES(:,4) = 0.01;
STATES(:,5) = 0.01;
STATES(:,6) = 0.01;
STATES(:,7) = 0.01;
STATES(:,8) = 0.01;
STATES(:,9) = 0.01;
STATES(:,10) = 0.01;
STATES(:,11) = 0.01;
CONSTANTS(:,1) = 0.0003;
CONSTANTS(:,2) = 0;
CONSTANTS(:,3) = 10000;
CONSTANTS(:,4) = 0.4;
CONSTANTS(:,5) = 1;
CONSTANTS(:,6) = 10.0;
CONSTANTS(:,7) = 6.5;
CONSTANTS(:,8) = 15.0;
CONSTANTS(:,9) = 0.15;
CONSTANTS(:,10) = 20;
CONSTANTS(:,11) = 0.4;
CONSTANTS(:,12) = 2.5E-5;
CONSTANTS(:,13) = 20.0;
CONSTANTS(:,14) = 0.02;
CONSTANTS(:,15) = 0.0002;
CONSTANTS(:,16) = 0.01;
CONSTANTS(:,17) = 1.24;
CONSTANTS(:,18) = 10.0;
CONSTANTS(:,19) = 1.0;
STATES(:,12) = 0.01;
CONSTANTS(:,20) = 0.05;
STATES(:,13) = 0.01;
STATES(:,14) = 0.01;
STATES(:,15) = 0.01;
CONSTANTS(:,21) = 1.0;
CONSTANTS(:,22) = 1.0;
STATES(:,16) = 0.01;
CONSTANTS(:,23) = 8.315;
CONSTANTS(:,24) = 310.16;
CONSTANTS(:,25) = 96480;
CONSTANTS(:,26) = 1.812;
CONSTANTS(:,27) = 1.26E-2;
CONSTANTS(:,28) = 6.4E-4;
CONSTANTS(:,29) = 3.2;
CONSTANTS(:,30) = 0.4;
CONSTANTS(:,31) = 12.5;
CONSTANTS(:,32) = 2.22;
CONSTANTS(:,33) = 8.1E-5;
CONSTANTS(:,34) = 5.98E-5;
CONSTANTS(:,35) = 1.52;
CONSTANTS(:,36) = 6.2E-2;
CONSTANTS(:,37) = 1.41;
CONSTANTS(:,38) = 0.923;
CONSTANTS(:,39) = 0.19;
CONSTANTS(:,40) = 1.94;
CONSTANTS(:,41) = 0.109;
CONSTANTS(:,42) = 1;
CONSTANTS(:,43) = 1.94;
CONSTANTS(:,44) = 0.15;
CONSTANTS(:,45) = 0.5;
CONSTANTS(:,46) = 0.0308;
CONSTANTS(:,47) = 1.27;
CONSTANTS(:,48) = 1.2;
CONSTANTS(:,49) = 38.7;
CONSTANTS(:,50) = 0.127;
CONSTANTS(:,51) = 3.115;
CONSTANTS(:,52) = 0.15;
CONSTANTS(:,53) = 1.0;
CONSTANTS(:,54) = 0.5;
CONSTANTS(:,55) = 3.0E-2;
CONSTANTS(:,56) = 1.3;
CONSTANTS(:,57) = 1.493;
CONSTANTS(:,58) = 2.775E1;
CONSTANTS(:,59) = 0.154;
CONSTANTS(:,60) = 3.1E-3;
CONSTANTS(:,61) = 0.2244;
CONSTANTS(:,62) = 1.13E-5;
CONSTANTS(:,63) = 26.7;
CONSTANTS(:,64) = 6.68E-9;
CONSTANTS(:,65) = 5.62E-6;
CONSTANTS(:,66) = 3.99E-2;
CONSTANTS(:,67) = 1.0;
CONSTANTS(:,68) = 0.83;
CONSTANTS(:,69) = 6.6;
CONSTANTS(:,70) = 0.644;
CONSTANTS(:,71) = 0.01;
CONSTANTS(:,72) = 2.4E6;
CONSTANTS(:,73) = 4.8E4;
CONSTANTS(:,74) = 5.0E-1;
CONSTANTS(:,75) = 0.4E-3;
CONSTANTS(:,76) = 0.5;
CONSTANTS(:,77) = 1.7E4;
CONSTANTS(:,78) = 0.001;
CONSTANTS(:,79) = 50.0;
CONSTANTS(:,80) = 0.15;
CONSTANTS(:,81) = 0.5;
CONSTANTS(:,82) = 0.00141;
CONSTANTS(:,83) = 0.0308;
CONSTANTS(:,84) = 1.94;
CONSTANTS(:,85) = 38.7;
CONSTANTS(:,86) = 1.27E-3;
CONSTANTS(:,87) = 7.82;
CONSTANTS(:,88) = 0.0782;
CONSTANTS(:,89) = 1.0E-3;
CONSTANTS(:,90) = 1.0E4;
CONSTANTS(:,91) = 70.0;
CONSTANTS(:,92) = 0.004;
CONSTANTS(:,93) = 0.01;
CONSTANTS(:,94) = 0.12;
CONSTANTS(:,95) = 0.0006;
CONSTANTS(:,96) = 0.0045;
CONSTANTS(:,97) = 6.394E-10;
CONSTANTS(:,98) = 2.656E-19;
CONSTANTS(:,99) = 2.077E-18;
CONSTANTS(:,100) = 1.728E-9;
CONSTANTS(:,101) = 1.059E-26;
CONSTANTS(:,102) = 1.762E-13;
CONSTANTS(:,103) = 8.632E-27;
CONSTANTS(:,104) = 1.35E18;
CONSTANTS(:,105) = 5.765E13;
CONSTANTS(:,106) = 0.01;
CONSTANTS(:,107) = 0.05;
CONSTANTS(:,108) = 0.85;
CONSTANTS(:,109) = -0.6;
CONSTANTS(:,110) = 0.06;
CONSTANTS(:,111) = 1.656E-5;
CONSTANTS(:,112) = 9.651E-14;
CONSTANTS(:,113) = 1.346E-8;
CONSTANTS(:,114) = 7.739E-7;
CONSTANTS(:,115) = 6.65E-15;
CONSTANTS(:,116) = 3.373E-7;
CONSTANTS(:,117) = 4.585E-14;
CONSTANTS(:,118) = 1.71E6;
CONSTANTS(:,119) = 0.5;
CONSTANTS(:,120) = 0.091;
CONSTANTS(:,121) = 0.05;
CONSTANTS(:,122) = 110.0;
CONSTANTS(:,123) = 2.8;
CONSTANTS(:,124) = 0.000625;
CONSTANTS(:,125) = 0.38;
CONSTANTS(:,126) = 19.0;
CONSTANTS(:,127) = 3.0;
CONSTANTS(:,128) = 0.005;
CONSTANTS(:,129) = 9.4;
CONSTANTS(:,130) = 3.75E-1;
CONSTANTS(:,131) = 0.5;
CONSTANTS(:,132) = (( CONSTANTS(:,23).*CONSTANTS(:,24))./CONSTANTS(:,25)).*log( CONSTANTS(:,105).*power(CONSTANTS(:,17)./CONSTANTS(:,16), 0.500000));
CONSTANTS(:,133) = 1.00000./(1.00000+CONSTANTS(:,12)./CONSTANTS(:,62)+power(CONSTANTS(:,12), 2.00000)./( CONSTANTS(:,62).*CONSTANTS(:,63)))+CONSTANTS(:,66);
CONSTANTS(:,134) = power(1.00000./(1.00000+CONSTANTS(:,64)./CONSTANTS(:,12)+( CONSTANTS(:,64).*CONSTANTS(:,65))./power(CONSTANTS(:,12), 2.00000)), 2.00000);
if (isempty(STATES)), warning('Initial values for states not set');, end
end
function [RATES, ALGEBRAIC] = computeRates(VOI, STATES, CONSTANTS)
global algebraicVariableCount;
statesSize = size(STATES);
statesColumnCount = statesSize(2);
if ( statesColumnCount == 1)
STATES = STATES';
ALGEBRAIC = zeros(1, algebraicVariableCount);
utilOnes = 1;
else
statesRowCount = statesSize(1);
ALGEBRAIC = zeros(statesRowCount, algebraicVariableCount);
RATES = zeros(statesRowCount, statesColumnCount);
utilOnes = ones(statesRowCount, 1);
end
ALGEBRAIC(:,5) = CONSTANTS(:,18) - STATES(:,2);
ALGEBRAIC(:,10) = ( CONSTANTS(:,40).*CONSTANTS(:,41))./(1.00000+CONSTANTS(:,12)./CONSTANTS(:,33)+CONSTANTS(:,34)./CONSTANTS(:,12)+power(CONSTANTS(:,35)./STATES(:,3), CONSTANTS(:,42))./( (1.00000+STATES(:,1)./CONSTANTS(:,36)).*(1.00000+STATES(:,11)./CONSTANTS(:,37)))+ (CONSTANTS(:,38)./ALGEBRAIC(:,5)).*(1.00000+STATES(:,2)./CONSTANTS(:,39))+( power(CONSTANTS(:,35)./STATES(:,3), CONSTANTS(:,42)).*(CONSTANTS(:,38)./ALGEBRAIC(:,5)).*(1.00000+STATES(:,2)./CONSTANTS(:,39)))./( (1.00000+STATES(:,1)./CONSTANTS(:,36)).*(1.00000+STATES(:,11)./CONSTANTS(:,37))));
ALGEBRAIC(:,7) = CONSTANTS(:,22) - (STATES(:,3)+STATES(:,4)+STATES(:,5)+STATES(:,6)+STATES(:,7)+STATES(:,8)+STATES(:,9));
ALGEBRAIC(:,9) = CONSTANTS(:,31).*(ALGEBRAIC(:,7) - STATES(:,3)./CONSTANTS(:,32));
RATES(:,3) = ALGEBRAIC(:,9) - ALGEBRAIC(:,10);
ALGEBRAIC(:,3) = CONSTANTS(:,8) - STATES(:,1);
ALGEBRAIC(:,12) = CONSTANTS(:,50).*( STATES(:,5).*STATES(:,1) - ( STATES(:,6).*ALGEBRAIC(:,3).*CONSTANTS(:,14))./CONSTANTS(:,51));
ALGEBRAIC(:,11) = ( CONSTANTS(:,44).*CONSTANTS(:,45))./(1.00000+power(CONSTANTS(:,43)./STATES(:,4), CONSTANTS(:,48))./( (1.00000+CONSTANTS(:,11)./CONSTANTS(:,46)).*(1.00000+STATES(:,11)./CONSTANTS(:,47)))+(CONSTANTS(:,49)./ALGEBRAIC(:,5))./( (1.00000+CONSTANTS(:,11)./CONSTANTS(:,46)).*(1.00000+STATES(:,11)./CONSTANTS(:,47))));
RATES(:,5) = ALGEBRAIC(:,11) - ALGEBRAIC(:,12);
ALGEBRAIC(:,13) = ( CONSTANTS(:,53).*CONSTANTS(:,54))./(1.00000+ (CONSTANTS(:,55)./STATES(:,6)).*(1.00000+STATES(:,9)./CONSTANTS(:,52)).*(1.00000+STATES(:,7)./CONSTANTS(:,56)));
RATES(:,6) = ALGEBRAIC(:,12) - ALGEBRAIC(:,13);
ALGEBRAIC(:,16) = CONSTANTS(:,70).*( STATES(:,9).*CONSTANTS(:,10) - ( STATES(:,4).*STATES(:,10))./CONSTANTS(:,69));
RATES(:,4) = ALGEBRAIC(:,16)+ALGEBRAIC(:,10)+ - ALGEBRAIC(:,11);
ALGEBRAIC(:,17) = CONSTANTS(:,68).*(STATES(:,7) - STATES(:,8)./CONSTANTS(:,67));
RATES(:,7) = ALGEBRAIC(:,13) - ALGEBRAIC(:,17);
ALGEBRAIC(:,14) = ( CONSTANTS(:,58).*CONSTANTS(:,59).*CONSTANTS(:,133).*CONSTANTS(:,134))./(1.00000+ (CONSTANTS(:,57)./STATES(:,8)).*(1.00000+STATES(:,9)./CONSTANTS(:,60))+CONSTANTS(:,61)./ALGEBRAIC(:,5)+ (CONSTANTS(:,57)./STATES(:,8)).*(1.00000+STATES(:,9)./CONSTANTS(:,60)).*(CONSTANTS(:,61)./ALGEBRAIC(:,5)));
RATES(:,8) = ALGEBRAIC(:,17) - ALGEBRAIC(:,14);
ALGEBRAIC(:,8) = ( CONSTANTS(:,29).*CONSTANTS(:,30))./(1.00000+CONSTANTS(:,27)./CONSTANTS(:,15)+CONSTANTS(:,28)./STATES(:,9)+ (CONSTANTS(:,27)./CONSTANTS(:,15)).*(CONSTANTS(:,28)./STATES(:,9)));
RATES(:,9) = ALGEBRAIC(:,14) - (ALGEBRAIC(:,8)+ALGEBRAIC(:,16));
ALGEBRAIC(:,19) = CONSTANTS(:,71).*STATES(:,10);
RATES(:,10) = ALGEBRAIC(:,16) - ALGEBRAIC(:,19);
ALGEBRAIC(:,18) = (CONSTANTS(:,89)+CONSTANTS(:,90)./(1.00000+CONSTANTS(:,93)./STATES(:,13))).*(CONSTANTS(:,88)+CONSTANTS(:,87)./(1.00000+exp( CONSTANTS(:,91).*(CONSTANTS(:,92) - STATES(:,16))))).*STATES(:,16);
ALGEBRAIC(:,21) = CONSTANTS(:,94).*(ALGEBRAIC(:,18)./STATES(:,16)).*(STATES(:,16) - (( CONSTANTS(:,23).*CONSTANTS(:,24))./CONSTANTS(:,25)).*arbitrary_log(STATES(:,12)./STATES(:,13), 10));
ALGEBRAIC(:,15) = ( 2.00000.*CONSTANTS(:,72).*CONSTANTS(:,74).*(CONSTANTS(:,72)+ CONSTANTS(:,73).*(1.00000+STATES(:,14)./CONSTANTS(:,76))).*CONSTANTS(:,75).*STATES(:,13))./( CONSTANTS(:,74).*( 2.00000.*CONSTANTS(:,72)+ CONSTANTS(:,73).*(1.00000+STATES(:,14)./CONSTANTS(:,76)))+ STATES(:,13).*CONSTANTS(:,72).*CONSTANTS(:,73).*(1.00000+STATES(:,14)./CONSTANTS(:,76)));
RATES(:,13) = ALGEBRAIC(:,21) - ALGEBRAIC(:,15);
ALGEBRAIC(:,20) = 2.00000.*CONSTANTS(:,77).*CONSTANTS(:,78).*STATES(:,14).*exp( - CONSTANTS(:,79).*STATES(:,14));
ALGEBRAIC(:,22) = ( CONSTANTS(:,82).*STATES(:,14).*STATES(:,15))./( CONSTANTS(:,80).*STATES(:,15)+ CONSTANTS(:,81).*STATES(:,14));
RATES(:,14) = ALGEBRAIC(:,15) - (ALGEBRAIC(:,20)+ALGEBRAIC(:,22));
ALGEBRAIC(:,6) = 2.00000.*(CONSTANTS(:,21) - STATES(:,15));
ALGEBRAIC(:,24) = ( CONSTANTS(:,83).*CONSTANTS(:,86))./(1.00000+CONSTANTS(:,84)./ALGEBRAIC(:,6)+CONSTANTS(:,85)./CONSTANTS(:,19)+ (CONSTANTS(:,84)./ALGEBRAIC(:,6)).*(CONSTANTS(:,85)./CONSTANTS(:,19)));
RATES(:,15) = ALGEBRAIC(:,24) - ALGEBRAIC(:,22);
ALGEBRAIC(:,23) = (( CONSTANTS(:,23).*CONSTANTS(:,24))./CONSTANTS(:,25)).*log( CONSTANTS(:,104).*power(STATES(:,2)./ALGEBRAIC(:,5), 0.500000));
ALGEBRAIC(:,25) = (( CONSTANTS(:,23).*CONSTANTS(:,24))./CONSTANTS(:,25)).*CONSTANTS(:,109)+STATES(:,16);
ALGEBRAIC(:,27) = 0.500000.*CONSTANTS(:,95).*((( (CONSTANTS(:,97)+ CONSTANTS(:,98).*exp(( 6.00000.*CONSTANTS(:,25).*CONSTANTS(:,107))./( CONSTANTS(:,23).*CONSTANTS(:,24)))).*exp(( ALGEBRAIC(:,23).*CONSTANTS(:,25))./( CONSTANTS(:,23).*CONSTANTS(:,24))) - CONSTANTS(:,97).*exp(( CONSTANTS(:,108).*6.00000.*CONSTANTS(:,25).*ALGEBRAIC(:,25))./( CONSTANTS(:,23).*CONSTANTS(:,24))))+ CONSTANTS(:,103).*exp(( ALGEBRAIC(:,23).*CONSTANTS(:,25))./( CONSTANTS(:,23).*CONSTANTS(:,24))).*exp(( CONSTANTS(:,108).*6.00000.*CONSTANTS(:,25).*ALGEBRAIC(:,25))./( CONSTANTS(:,23).*CONSTANTS(:,24))))./( (1.00000+ CONSTANTS(:,99).*exp(( CONSTANTS(:,25).*ALGEBRAIC(:,23))./( CONSTANTS(:,23).*CONSTANTS(:,24)))).*exp(( 6.00000.*CONSTANTS(:,25).*CONSTANTS(:,107))./( CONSTANTS(:,23).*CONSTANTS(:,24)))+ (CONSTANTS(:,100)+ CONSTANTS(:,101).*exp(( CONSTANTS(:,25).*ALGEBRAIC(:,23))./( CONSTANTS(:,23).*CONSTANTS(:,24)))).*exp(( CONSTANTS(:,108).*6.00000.*CONSTANTS(:,25).*ALGEBRAIC(:,25))./( CONSTANTS(:,23).*CONSTANTS(:,24)))));
RATES(:,2) = - ALGEBRAIC(:,27)+ALGEBRAIC(:,10)+ALGEBRAIC(:,11)+ALGEBRAIC(:,14);
RATES(:,12) = CONSTANTS(:,20).*ALGEBRAIC(:,27) - ALGEBRAIC(:,21);
ALGEBRAIC(:,4) = piecewise({VOI>=100.000&VOI<300.000, CONSTANTS(:,9) }, 0.0500000);
ALGEBRAIC(:,33) = CONSTANTS(:,121).*((1.00000 - ( 0.0500000.*CONSTANTS(:,7).*0.450000.*0.800000.*STATES(:,1))./( 0.450000.*ALGEBRAIC(:,4).*0.0500000.*ALGEBRAIC(:,3)))./( (1.00000+ (( 0.0500000.*CONSTANTS(:,7))./( 0.450000.*ALGEBRAIC(:,4))).*exp(( - CONSTANTS(:,119).*CONSTANTS(:,25).*CONSTANTS(:,120))./( CONSTANTS(:,23).*CONSTANTS(:,24)))).*(1.00000+( 0.450000.*0.800000.*STATES(:,1))./( 0.0500000.*ALGEBRAIC(:,3)))));
ALGEBRAIC(:,30) = (( CONSTANTS(:,23).*CONSTANTS(:,24))./CONSTANTS(:,25)).*log( CONSTANTS(:,118).*(ALGEBRAIC(:,3)./( STATES(:,1).*CONSTANTS(:,13))));
ALGEBRAIC(:,31) = - CONSTANTS(:,110).*(( ( 100.000.*CONSTANTS(:,111)+ CONSTANTS(:,112).*exp(( 3.00000.*CONSTANTS(:,25).*CONSTANTS(:,107))./( CONSTANTS(:,23).*CONSTANTS(:,24)))).*exp(( ALGEBRAIC(:,30).*CONSTANTS(:,25))./( CONSTANTS(:,23).*CONSTANTS(:,24))) - ( CONSTANTS(:,111).*exp(( 3.00000.*CONSTANTS(:,25).*ALGEBRAIC(:,25))./( CONSTANTS(:,23).*CONSTANTS(:,24)))+ CONSTANTS(:,117).*exp(( ALGEBRAIC(:,30).*CONSTANTS(:,25))./( CONSTANTS(:,23).*CONSTANTS(:,24))).*exp(( 3.00000.*CONSTANTS(:,25).*ALGEBRAIC(:,25))./( CONSTANTS(:,23).*CONSTANTS(:,24)))))./( (1.00000+ CONSTANTS(:,113).*exp(( CONSTANTS(:,25).*ALGEBRAIC(:,30))./( CONSTANTS(:,23).*CONSTANTS(:,24)))).*exp(( 3.00000.*CONSTANTS(:,25).*CONSTANTS(:,107))./( CONSTANTS(:,23).*CONSTANTS(:,24)))+ (CONSTANTS(:,114)+ CONSTANTS(:,115).*exp(( CONSTANTS(:,25).*ALGEBRAIC(:,30))./( CONSTANTS(:,23).*CONSTANTS(:,24)))).*exp(( 3.00000.*CONSTANTS(:,25).*ALGEBRAIC(:,25))./( CONSTANTS(:,23).*CONSTANTS(:,24)))));
RATES(:,1) = ALGEBRAIC(:,33) - (ALGEBRAIC(:,31)+ALGEBRAIC(:,12));
ALGEBRAIC(:,1) = piecewise({VOI>=100.000&VOI<300.000, 0.500000 }, 4.00000);
ALGEBRAIC(:,2) = piecewise({VOI>=CONSTANTS(:,2)&VOI<=CONSTANTS(:,3)&(VOI - CONSTANTS(:,2)) - floor((VOI - CONSTANTS(:,2))./ALGEBRAIC(:,1)).*ALGEBRAIC(:,1)<=CONSTANTS(:,4), CONSTANTS(:,5) }, 0.100000);
ALGEBRAIC(:,34) = CONSTANTS(:,124).*(( (ALGEBRAIC(:,2)./CONSTANTS(:,126)).*power(1.00000+ALGEBRAIC(:,2)./CONSTANTS(:,126), 3.00000).*(( 2.00000.*CONSTANTS(:,25).*(STATES(:,16) - CONSTANTS(:,120)))./( CONSTANTS(:,23).*CONSTANTS(:,24))))./(power(1.00000+ALGEBRAIC(:,2)./CONSTANTS(:,126), 4.00000)+ (CONSTANTS(:,122)./power(1.00000+ALGEBRAIC(:,2)./CONSTANTS(:,125), CONSTANTS(:,123))).*(1.00000 - exp(( -2.00000.*CONSTANTS(:,25).*(STATES(:,16) - CONSTANTS(:,120)))./( CONSTANTS(:,23).*CONSTANTS(:,24))))));
ALGEBRAIC(:,35) = CONSTANTS(:,128).*(( exp(( CONSTANTS(:,131).*CONSTANTS(:,25).*(STATES(:,16) - CONSTANTS(:,120)))./( CONSTANTS(:,23).*CONSTANTS(:,24))).*exp(log(ALGEBRAIC(:,2)./STATES(:,11))))./( power(1.00000+CONSTANTS(:,129)./CONSTANTS(:,6), CONSTANTS(:,127)).*(1.00000+CONSTANTS(:,130)./STATES(:,11))));
RATES(:,11) = CONSTANTS(:,1).*1.00000.*(ALGEBRAIC(:,34) - ALGEBRAIC(:,35));
ALGEBRAIC(:,26) = 6.00000.*CONSTANTS(:,95).*(( CONSTANTS(:,97).*exp(( CONSTANTS(:,25).*ALGEBRAIC(:,23))./( CONSTANTS(:,23).*CONSTANTS(:,24))) - (CONSTANTS(:,97)+CONSTANTS(:,102)).*exp(( CONSTANTS(:,108).*6.00000.*CONSTANTS(:,25).*ALGEBRAIC(:,25))./( CONSTANTS(:,23).*CONSTANTS(:,24))))./( (1.00000+ CONSTANTS(:,99).*exp(( CONSTANTS(:,25).*ALGEBRAIC(:,23))./( CONSTANTS(:,23).*CONSTANTS(:,24)))).*exp(( 6.00000.*CONSTANTS(:,25).*CONSTANTS(:,107))./( CONSTANTS(:,23).*CONSTANTS(:,24)))+ (CONSTANTS(:,100)+ CONSTANTS(:,101).*exp(( CONSTANTS(:,25).*ALGEBRAIC(:,23))./( CONSTANTS(:,23).*CONSTANTS(:,24)))).*exp(( CONSTANTS(:,108).*6.00000.*CONSTANTS(:,25).*ALGEBRAIC(:,25))./( CONSTANTS(:,23).*CONSTANTS(:,24)))));
ALGEBRAIC(:,28) = 6.00000.*CONSTANTS(:,96).*(( CONSTANTS(:,97).*exp(( CONSTANTS(:,25).*CONSTANTS(:,132))./( CONSTANTS(:,23).*CONSTANTS(:,24))) - (CONSTANTS(:,97)+CONSTANTS(:,102)).*exp(( CONSTANTS(:,108).*6.00000.*CONSTANTS(:,25).*ALGEBRAIC(:,25))./( CONSTANTS(:,23).*CONSTANTS(:,24))))./( (1.00000+ CONSTANTS(:,99).*exp(( CONSTANTS(:,25).*CONSTANTS(:,132))./( CONSTANTS(:,23).*CONSTANTS(:,24)))).*exp(( 6.00000.*CONSTANTS(:,25).*CONSTANTS(:,107))./( CONSTANTS(:,23).*CONSTANTS(:,24)))+ (CONSTANTS(:,100)+ CONSTANTS(:,101).*exp(( CONSTANTS(:,25).*CONSTANTS(:,132))./( CONSTANTS(:,23).*CONSTANTS(:,24)))).*exp(( CONSTANTS(:,108).*6.00000.*CONSTANTS(:,25).*ALGEBRAIC(:,25))./( CONSTANTS(:,23).*CONSTANTS(:,24)))));
ALGEBRAIC(:,32) = -3.00000.*CONSTANTS(:,110).*(( 100.000.*CONSTANTS(:,111).*(1.00000+exp(( CONSTANTS(:,25).*ALGEBRAIC(:,30))./( CONSTANTS(:,23).*CONSTANTS(:,24)))) - (CONSTANTS(:,111)+CONSTANTS(:,116)).*exp(( 3.00000.*CONSTANTS(:,25).*ALGEBRAIC(:,25))./( CONSTANTS(:,23).*CONSTANTS(:,24))))./( (1.00000+ CONSTANTS(:,113).*exp(( CONSTANTS(:,25).*ALGEBRAIC(:,30))./( CONSTANTS(:,23).*CONSTANTS(:,24)))).*exp(( 3.00000.*CONSTANTS(:,25).*CONSTANTS(:,107))./( CONSTANTS(:,23).*CONSTANTS(:,24)))+ (CONSTANTS(:,114)+ CONSTANTS(:,115).*exp(( CONSTANTS(:,25).*ALGEBRAIC(:,30))./( CONSTANTS(:,23).*CONSTANTS(:,24)))).*exp(( 3.00000.*CONSTANTS(:,25).*ALGEBRAIC(:,25))./( CONSTANTS(:,23).*CONSTANTS(:,24)))));
ALGEBRAIC(:,29) = CONSTANTS(:,106).*ALGEBRAIC(:,25);
RATES(:,16) = (ALGEBRAIC(:,26)+ALGEBRAIC(:,28)+ - (ALGEBRAIC(:,32)+ALGEBRAIC(:,33)+ALGEBRAIC(:,29)+ALGEBRAIC(:,35)+ 2.00000.*ALGEBRAIC(:,34)))./CONSTANTS(:,26);
RATES = RATES';
end
% Calculate algebraic variables
function ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, VOI)
statesSize = size(STATES);
statesColumnCount = statesSize(2);
if ( statesColumnCount == 1)
STATES = STATES';
utilOnes = 1;
else
statesRowCount = statesSize(1);
utilOnes = ones(statesRowCount, 1);
end
ALGEBRAIC(:,5) = CONSTANTS(:,18) - STATES(:,2);
ALGEBRAIC(:,10) = ( CONSTANTS(:,40).*CONSTANTS(:,41))./(1.00000+CONSTANTS(:,12)./CONSTANTS(:,33)+CONSTANTS(:,34)./CONSTANTS(:,12)+power(CONSTANTS(:,35)./STATES(:,3), CONSTANTS(:,42))./( (1.00000+STATES(:,1)./CONSTANTS(:,36)).*(1.00000+STATES(:,11)./CONSTANTS(:,37)))+ (CONSTANTS(:,38)./ALGEBRAIC(:,5)).*(1.00000+STATES(:,2)./CONSTANTS(:,39))+( power(CONSTANTS(:,35)./STATES(:,3), CONSTANTS(:,42)).*(CONSTANTS(:,38)./ALGEBRAIC(:,5)).*(1.00000+STATES(:,2)./CONSTANTS(:,39)))./( (1.00000+STATES(:,1)./CONSTANTS(:,36)).*(1.00000+STATES(:,11)./CONSTANTS(:,37))));
ALGEBRAIC(:,7) = CONSTANTS(:,22) - (STATES(:,3)+STATES(:,4)+STATES(:,5)+STATES(:,6)+STATES(:,7)+STATES(:,8)+STATES(:,9));
ALGEBRAIC(:,9) = CONSTANTS(:,31).*(ALGEBRAIC(:,7) - STATES(:,3)./CONSTANTS(:,32));
ALGEBRAIC(:,3) = CONSTANTS(:,8) - STATES(:,1);
ALGEBRAIC(:,12) = CONSTANTS(:,50).*( STATES(:,5).*STATES(:,1) - ( STATES(:,6).*ALGEBRAIC(:,3).*CONSTANTS(:,14))./CONSTANTS(:,51));
ALGEBRAIC(:,11) = ( CONSTANTS(:,44).*CONSTANTS(:,45))./(1.00000+power(CONSTANTS(:,43)./STATES(:,4), CONSTANTS(:,48))./( (1.00000+CONSTANTS(:,11)./CONSTANTS(:,46)).*(1.00000+STATES(:,11)./CONSTANTS(:,47)))+(CONSTANTS(:,49)./ALGEBRAIC(:,5))./( (1.00000+CONSTANTS(:,11)./CONSTANTS(:,46)).*(1.00000+STATES(:,11)./CONSTANTS(:,47))));
ALGEBRAIC(:,13) = ( CONSTANTS(:,53).*CONSTANTS(:,54))./(1.00000+ (CONSTANTS(:,55)./STATES(:,6)).*(1.00000+STATES(:,9)./CONSTANTS(:,52)).*(1.00000+STATES(:,7)./CONSTANTS(:,56)));
ALGEBRAIC(:,16) = CONSTANTS(:,70).*( STATES(:,9).*CONSTANTS(:,10) - ( STATES(:,4).*STATES(:,10))./CONSTANTS(:,69));
ALGEBRAIC(:,17) = CONSTANTS(:,68).*(STATES(:,7) - STATES(:,8)./CONSTANTS(:,67));
ALGEBRAIC(:,14) = ( CONSTANTS(:,58).*CONSTANTS(:,59).*CONSTANTS(:,133).*CONSTANTS(:,134))./(1.00000+ (CONSTANTS(:,57)./STATES(:,8)).*(1.00000+STATES(:,9)./CONSTANTS(:,60))+CONSTANTS(:,61)./ALGEBRAIC(:,5)+ (CONSTANTS(:,57)./STATES(:,8)).*(1.00000+STATES(:,9)./CONSTANTS(:,60)).*(CONSTANTS(:,61)./ALGEBRAIC(:,5)));
ALGEBRAIC(:,8) = ( CONSTANTS(:,29).*CONSTANTS(:,30))./(1.00000+CONSTANTS(:,27)./CONSTANTS(:,15)+CONSTANTS(:,28)./STATES(:,9)+ (CONSTANTS(:,27)./CONSTANTS(:,15)).*(CONSTANTS(:,28)./STATES(:,9)));
ALGEBRAIC(:,19) = CONSTANTS(:,71).*STATES(:,10);
ALGEBRAIC(:,18) = (CONSTANTS(:,89)+CONSTANTS(:,90)./(1.00000+CONSTANTS(:,93)./STATES(:,13))).*(CONSTANTS(:,88)+CONSTANTS(:,87)./(1.00000+exp( CONSTANTS(:,91).*(CONSTANTS(:,92) - STATES(:,16))))).*STATES(:,16);
ALGEBRAIC(:,21) = CONSTANTS(:,94).*(ALGEBRAIC(:,18)./STATES(:,16)).*(STATES(:,16) - (( CONSTANTS(:,23).*CONSTANTS(:,24))./CONSTANTS(:,25)).*arbitrary_log(STATES(:,12)./STATES(:,13), 10));
ALGEBRAIC(:,15) = ( 2.00000.*CONSTANTS(:,72).*CONSTANTS(:,74).*(CONSTANTS(:,72)+ CONSTANTS(:,73).*(1.00000+STATES(:,14)./CONSTANTS(:,76))).*CONSTANTS(:,75).*STATES(:,13))./( CONSTANTS(:,74).*( 2.00000.*CONSTANTS(:,72)+ CONSTANTS(:,73).*(1.00000+STATES(:,14)./CONSTANTS(:,76)))+ STATES(:,13).*CONSTANTS(:,72).*CONSTANTS(:,73).*(1.00000+STATES(:,14)./CONSTANTS(:,76)));
ALGEBRAIC(:,20) = 2.00000.*CONSTANTS(:,77).*CONSTANTS(:,78).*STATES(:,14).*exp( - CONSTANTS(:,79).*STATES(:,14));
ALGEBRAIC(:,22) = ( CONSTANTS(:,82).*STATES(:,14).*STATES(:,15))./( CONSTANTS(:,80).*STATES(:,15)+ CONSTANTS(:,81).*STATES(:,14));
ALGEBRAIC(:,6) = 2.00000.*(CONSTANTS(:,21) - STATES(:,15));
ALGEBRAIC(:,24) = ( CONSTANTS(:,83).*CONSTANTS(:,86))./(1.00000+CONSTANTS(:,84)./ALGEBRAIC(:,6)+CONSTANTS(:,85)./CONSTANTS(:,19)+ (CONSTANTS(:,84)./ALGEBRAIC(:,6)).*(CONSTANTS(:,85)./CONSTANTS(:,19)));
ALGEBRAIC(:,23) = (( CONSTANTS(:,23).*CONSTANTS(:,24))./CONSTANTS(:,25)).*log( CONSTANTS(:,104).*power(STATES(:,2)./ALGEBRAIC(:,5), 0.500000));
ALGEBRAIC(:,25) = (( CONSTANTS(:,23).*CONSTANTS(:,24))./CONSTANTS(:,25)).*CONSTANTS(:,109)+STATES(:,16);
ALGEBRAIC(:,27) = 0.500000.*CONSTANTS(:,95).*((( (CONSTANTS(:,97)+ CONSTANTS(:,98).*exp(( 6.00000.*CONSTANTS(:,25).*CONSTANTS(:,107))./( CONSTANTS(:,23).*CONSTANTS(:,24)))).*exp(( ALGEBRAIC(:,23).*CONSTANTS(:,25))./( CONSTANTS(:,23).*CONSTANTS(:,24))) - CONSTANTS(:,97).*exp(( CONSTANTS(:,108).*6.00000.*CONSTANTS(:,25).*ALGEBRAIC(:,25))./( CONSTANTS(:,23).*CONSTANTS(:,24))))+ CONSTANTS(:,103).*exp(( ALGEBRAIC(:,23).*CONSTANTS(:,25))./( CONSTANTS(:,23).*CONSTANTS(:,24))).*exp(( CONSTANTS(:,108).*6.00000.*CONSTANTS(:,25).*ALGEBRAIC(:,25))./( CONSTANTS(:,23).*CONSTANTS(:,24))))./( (1.00000+ CONSTANTS(:,99).*exp(( CONSTANTS(:,25).*ALGEBRAIC(:,23))./( CONSTANTS(:,23).*CONSTANTS(:,24)))).*exp(( 6.00000.*CONSTANTS(:,25).*CONSTANTS(:,107))./( CONSTANTS(:,23).*CONSTANTS(:,24)))+ (CONSTANTS(:,100)+ CONSTANTS(:,101).*exp(( CONSTANTS(:,25).*ALGEBRAIC(:,23))./( CONSTANTS(:,23).*CONSTANTS(:,24)))).*exp(( CONSTANTS(:,108).*6.00000.*CONSTANTS(:,25).*ALGEBRAIC(:,25))./( CONSTANTS(:,23).*CONSTANTS(:,24)))));
ALGEBRAIC(:,4) = piecewise({VOI>=100.000&VOI<300.000, CONSTANTS(:,9) }, 0.0500000);
ALGEBRAIC(:,33) = CONSTANTS(:,121).*((1.00000 - ( 0.0500000.*CONSTANTS(:,7).*0.450000.*0.800000.*STATES(:,1))./( 0.450000.*ALGEBRAIC(:,4).*0.0500000.*ALGEBRAIC(:,3)))./( (1.00000+ (( 0.0500000.*CONSTANTS(:,7))./( 0.450000.*ALGEBRAIC(:,4))).*exp(( - CONSTANTS(:,119).*CONSTANTS(:,25).*CONSTANTS(:,120))./( CONSTANTS(:,23).*CONSTANTS(:,24)))).*(1.00000+( 0.450000.*0.800000.*STATES(:,1))./( 0.0500000.*ALGEBRAIC(:,3)))));
ALGEBRAIC(:,30) = (( CONSTANTS(:,23).*CONSTANTS(:,24))./CONSTANTS(:,25)).*log( CONSTANTS(:,118).*(ALGEBRAIC(:,3)./( STATES(:,1).*CONSTANTS(:,13))));
ALGEBRAIC(:,31) = - CONSTANTS(:,110).*(( ( 100.000.*CONSTANTS(:,111)+ CONSTANTS(:,112).*exp(( 3.00000.*CONSTANTS(:,25).*CONSTANTS(:,107))./( CONSTANTS(:,23).*CONSTANTS(:,24)))).*exp(( ALGEBRAIC(:,30).*CONSTANTS(:,25))./( CONSTANTS(:,23).*CONSTANTS(:,24))) - ( CONSTANTS(:,111).*exp(( 3.00000.*CONSTANTS(:,25).*ALGEBRAIC(:,25))./( CONSTANTS(:,23).*CONSTANTS(:,24)))+ CONSTANTS(:,117).*exp(( ALGEBRAIC(:,30).*CONSTANTS(:,25))./( CONSTANTS(:,23).*CONSTANTS(:,24))).*exp(( 3.00000.*CONSTANTS(:,25).*ALGEBRAIC(:,25))./( CONSTANTS(:,23).*CONSTANTS(:,24)))))./( (1.00000+ CONSTANTS(:,113).*exp(( CONSTANTS(:,25).*ALGEBRAIC(:,30))./( CONSTANTS(:,23).*CONSTANTS(:,24)))).*exp(( 3.00000.*CONSTANTS(:,25).*CONSTANTS(:,107))./( CONSTANTS(:,23).*CONSTANTS(:,24)))+ (CONSTANTS(:,114)+ CONSTANTS(:,115).*exp(( CONSTANTS(:,25).*ALGEBRAIC(:,30))./( CONSTANTS(:,23).*CONSTANTS(:,24)))).*exp(( 3.00000.*CONSTANTS(:,25).*ALGEBRAIC(:,25))./( CONSTANTS(:,23).*CONSTANTS(:,24)))));
ALGEBRAIC(:,1) = piecewise({VOI>=100.000&VOI<300.000, 0.500000 }, 4.00000);
ALGEBRAIC(:,2) = piecewise({VOI>=CONSTANTS(:,2)&VOI<=CONSTANTS(:,3)&(VOI - CONSTANTS(:,2)) - floor((VOI - CONSTANTS(:,2))./ALGEBRAIC(:,1)).*ALGEBRAIC(:,1)<=CONSTANTS(:,4), CONSTANTS(:,5) }, 0.100000);
ALGEBRAIC(:,34) = CONSTANTS(:,124).*(( (ALGEBRAIC(:,2)./CONSTANTS(:,126)).*power(1.00000+ALGEBRAIC(:,2)./CONSTANTS(:,126), 3.00000).*(( 2.00000.*CONSTANTS(:,25).*(STATES(:,16) - CONSTANTS(:,120)))./( CONSTANTS(:,23).*CONSTANTS(:,24))))./(power(1.00000+ALGEBRAIC(:,2)./CONSTANTS(:,126), 4.00000)+ (CONSTANTS(:,122)./power(1.00000+ALGEBRAIC(:,2)./CONSTANTS(:,125), CONSTANTS(:,123))).*(1.00000 - exp(( -2.00000.*CONSTANTS(:,25).*(STATES(:,16) - CONSTANTS(:,120)))./( CONSTANTS(:,23).*CONSTANTS(:,24))))));
ALGEBRAIC(:,35) = CONSTANTS(:,128).*(( exp(( CONSTANTS(:,131).*CONSTANTS(:,25).*(STATES(:,16) - CONSTANTS(:,120)))./( CONSTANTS(:,23).*CONSTANTS(:,24))).*exp(log(ALGEBRAIC(:,2)./STATES(:,11))))./( power(1.00000+CONSTANTS(:,129)./CONSTANTS(:,6), CONSTANTS(:,127)).*(1.00000+CONSTANTS(:,130)./STATES(:,11))));
ALGEBRAIC(:,26) = 6.00000.*CONSTANTS(:,95).*(( CONSTANTS(:,97).*exp(( CONSTANTS(:,25).*ALGEBRAIC(:,23))./( CONSTANTS(:,23).*CONSTANTS(:,24))) - (CONSTANTS(:,97)+CONSTANTS(:,102)).*exp(( CONSTANTS(:,108).*6.00000.*CONSTANTS(:,25).*ALGEBRAIC(:,25))./( CONSTANTS(:,23).*CONSTANTS(:,24))))./( (1.00000+ CONSTANTS(:,99).*exp(( CONSTANTS(:,25).*ALGEBRAIC(:,23))./( CONSTANTS(:,23).*CONSTANTS(:,24)))).*exp(( 6.00000.*CONSTANTS(:,25).*CONSTANTS(:,107))./( CONSTANTS(:,23).*CONSTANTS(:,24)))+ (CONSTANTS(:,100)+ CONSTANTS(:,101).*exp(( CONSTANTS(:,25).*ALGEBRAIC(:,23))./( CONSTANTS(:,23).*CONSTANTS(:,24)))).*exp(( CONSTANTS(:,108).*6.00000.*CONSTANTS(:,25).*ALGEBRAIC(:,25))./( CONSTANTS(:,23).*CONSTANTS(:,24)))));
ALGEBRAIC(:,28) = 6.00000.*CONSTANTS(:,96).*(( CONSTANTS(:,97).*exp(( CONSTANTS(:,25).*CONSTANTS(:,132))./( CONSTANTS(:,23).*CONSTANTS(:,24))) - (CONSTANTS(:,97)+CONSTANTS(:,102)).*exp(( CONSTANTS(:,108).*6.00000.*CONSTANTS(:,25).*ALGEBRAIC(:,25))./( CONSTANTS(:,23).*CONSTANTS(:,24))))./( (1.00000+ CONSTANTS(:,99).*exp(( CONSTANTS(:,25).*CONSTANTS(:,132))./( CONSTANTS(:,23).*CONSTANTS(:,24)))).*exp(( 6.00000.*CONSTANTS(:,25).*CONSTANTS(:,107))./( CONSTANTS(:,23).*CONSTANTS(:,24)))+ (CONSTANTS(:,100)+ CONSTANTS(:,101).*exp(( CONSTANTS(:,25).*CONSTANTS(:,132))./( CONSTANTS(:,23).*CONSTANTS(:,24)))).*exp(( CONSTANTS(:,108).*6.00000.*CONSTANTS(:,25).*ALGEBRAIC(:,25))./( CONSTANTS(:,23).*CONSTANTS(:,24)))));
ALGEBRAIC(:,32) = -3.00000.*CONSTANTS(:,110).*(( 100.000.*CONSTANTS(:,111).*(1.00000+exp(( CONSTANTS(:,25).*ALGEBRAIC(:,30))./( CONSTANTS(:,23).*CONSTANTS(:,24)))) - (CONSTANTS(:,111)+CONSTANTS(:,116)).*exp(( 3.00000.*CONSTANTS(:,25).*ALGEBRAIC(:,25))./( CONSTANTS(:,23).*CONSTANTS(:,24))))./( (1.00000+ CONSTANTS(:,113).*exp(( CONSTANTS(:,25).*ALGEBRAIC(:,30))./( CONSTANTS(:,23).*CONSTANTS(:,24)))).*exp(( 3.00000.*CONSTANTS(:,25).*CONSTANTS(:,107))./( CONSTANTS(:,23).*CONSTANTS(:,24)))+ (CONSTANTS(:,114)+ CONSTANTS(:,115).*exp(( CONSTANTS(:,25).*ALGEBRAIC(:,30))./( CONSTANTS(:,23).*CONSTANTS(:,24)))).*exp(( 3.00000.*CONSTANTS(:,25).*ALGEBRAIC(:,25))./( CONSTANTS(:,23).*CONSTANTS(:,24)))));
ALGEBRAIC(:,29) = CONSTANTS(:,106).*ALGEBRAIC(:,25);
end
% Compute result of a piecewise function
function x = piecewise(cases, default)
set = [0];
for i = 1:2:length(cases)
if (length(cases{i+1}) == 1)
x(cases{i} & ~set,:) = cases{i+1};
else
x(cases{i} & ~set,:) = cases{i+1}(cases{i} & ~set);
end
set = set | cases{i};
if(set), break, end
end
if (length(default) == 1)
x(~set,:) = default;
else
x(~set,:) = default(~set);
end
end
% Compute a logarithm to any base" +
function x = arbitrary_log(a, base)
x = log(a) ./ log(base);
end
% Pad out or shorten strings to a set length
function strout = strpad(strin)
req_length = 160;
insize = size(strin,2);
if insize > req_length
strout = strin(1:req_length);
else
strout = [strin, blanks(req_length - insize)];
end
end