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 =28;
end
% There are a total of 12 entries in each of the rate and state variable arrays.
% There are a total of 108 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(:,26) = strpad('V_ANT in component calcium_dynamics (flux)');
LEGEND_ALGEBRAIC(:,24) = strpad('V_ATPase in component oxidative_phosphorylation (flux)');
LEGEND_ALGEBRAIC(:,11) = strpad('V_SL in component V_SL (flux)');
LEGEND_STATES(:,2) = strpad('NADH in component NADH (millimolar)');
LEGEND_ALGEBRAIC(:,20) = strpad('V_O2 in component oxidative_phosphorylation (flux)');
LEGEND_ALGEBRAIC(:,9) = strpad('V_IDH in component V_IDH (flux)');
LEGEND_ALGEBRAIC(:,10) = strpad('V_KGDH in component V_KGDH (flux)');
LEGEND_ALGEBRAIC(:,13) = strpad('V_MDH in component V_MDH (flux)');
LEGEND_STATES(:,3) = strpad('ISOC in component ISOC (millimolar)');
LEGEND_ALGEBRAIC(:,8) = strpad('V_ACO in component V_ACO (flux)');
LEGEND_STATES(:,4) = strpad('alpha_KG in component alpha_KG (millimolar)');
LEGEND_ALGEBRAIC(:,15) = 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(:,12) = strpad('V_SDH in component V_SDH (flux)');
LEGEND_STATES(:,7) = strpad('FUM in component FUM (millimolar)');
LEGEND_ALGEBRAIC(:,16) = 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(:,7) = strpad('V_CS in component V_CS (flux)');
LEGEND_STATES(:,10) = strpad('ASP in component ASP (millimolar)');
LEGEND_ALGEBRAIC(:,18) = 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(:,27) = strpad('V_uni in component calcium_dynamics (flux)');
LEGEND_ALGEBRAIC(:,28) = 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_ALGEBRAIC(:,6) = strpad('CIT in component CIT (millimolar)');
LEGEND_CONSTANTS(:,19) = strpad('C_Kint in component CIT (millimolar)');
LEGEND_STATES(:,12) = strpad('delta_psi_m in component mitochondrial_membrane (volt)');
LEGEND_CONSTANTS(:,20) = strpad('R in component mitochondrial_membrane (volt_coulomb_per_mole_kelvin)');
LEGEND_CONSTANTS(:,21) = strpad('T in component mitochondrial_membrane (kelvin)');
LEGEND_CONSTANTS(:,22) = strpad('F in component mitochondrial_membrane (coulomb_per_mole)');
LEGEND_CONSTANTS(:,23) = strpad('C_mito in component mitochondrial_membrane (millimolar_per_volt)');
LEGEND_ALGEBRAIC(:,19) = strpad('V_He in component oxidative_phosphorylation (flux)');
LEGEND_ALGEBRAIC(:,21) = strpad('V_He_F in component oxidative_phosphorylation (flux)');
LEGEND_ALGEBRAIC(:,25) = strpad('V_Hu in component oxidative_phosphorylation (flux)');
LEGEND_ALGEBRAIC(:,22) = strpad('V_Hleak in component oxidative_phosphorylation (flux)');
LEGEND_CONSTANTS(:,24) = strpad('Km_AcCoA in component V_CS (millimolar)');
LEGEND_CONSTANTS(:,25) = strpad('Km_OAA in component V_CS (millimolar)');
LEGEND_CONSTANTS(:,26) = strpad('Kcat_CS in component V_CS (first_order_rate_constant)');
LEGEND_CONSTANTS(:,27) = strpad('ET_CS in component V_CS (millimolar)');
LEGEND_CONSTANTS(:,28) = strpad('Kf_ACO in component V_ACO (first_order_rate_constant)');
LEGEND_CONSTANTS(:,29) = strpad('KE_ACO in component V_ACO (dimensionless)');
LEGEND_CONSTANTS(:,30) = strpad('Kh_1 in component V_IDH (millimolar)');
LEGEND_CONSTANTS(:,31) = strpad('Kh_2 in component V_IDH (millimolar)');
LEGEND_CONSTANTS(:,32) = strpad('Km_ISOC in component V_IDH (millimolar)');
LEGEND_CONSTANTS(:,33) = strpad('Ka_ADP in component V_IDH (millimolar)');
LEGEND_CONSTANTS(:,34) = strpad('Ka_Ca in component V_IDH (micromolar)');
LEGEND_CONSTANTS(:,35) = strpad('Km_NAD in component V_IDH (millimolar)');
LEGEND_CONSTANTS(:,36) = strpad('Ki_NADH in component V_IDH (millimolar)');
LEGEND_CONSTANTS(:,37) = strpad('Kcat_IDH in component V_IDH (first_order_rate_constant)');
LEGEND_CONSTANTS(:,38) = strpad('ET_IDH in component V_IDH (millimolar)');
LEGEND_CONSTANTS(:,39) = strpad('ni in component V_IDH (dimensionless)');
LEGEND_CONSTANTS(:,40) = strpad('Km_alpha_KG in component V_KGDH (millimolar)');
LEGEND_CONSTANTS(:,41) = strpad('Kcat_KGDH in component V_KGDH (first_order_rate_constant)');
LEGEND_CONSTANTS(:,42) = strpad('ET_KGDH in component V_KGDH (millimolar)');
LEGEND_CONSTANTS(:,43) = strpad('Kd_Mg in component V_KGDH (millimolar)');
LEGEND_CONSTANTS(:,44) = strpad('Kd_Ca in component V_KGDH (micromolar)');
LEGEND_CONSTANTS(:,45) = strpad('n_alpha_KG in component V_KGDH (dimensionless)');
LEGEND_CONSTANTS(:,46) = strpad('Km_NAD in component V_KGDH (millimolar)');
LEGEND_CONSTANTS(:,47) = strpad('kf_SL in component V_SL (second_order_rate_constant)');
LEGEND_CONSTANTS(:,48) = strpad('Ke_SL in component V_SL (millimolar)');
LEGEND_CONSTANTS(:,49) = strpad('Kisdh_OAA in component V_SDH (millimolar)');
LEGEND_CONSTANTS(:,50) = strpad('Kcat_SDH in component V_SDH (first_order_rate_constant)');
LEGEND_CONSTANTS(:,51) = strpad('ET_SDH in component V_SDH (millimolar)');
LEGEND_CONSTANTS(:,52) = strpad('Km_Suc in component V_SDH (millimolar)');
LEGEND_CONSTANTS(:,53) = strpad('Ki_FUM in component V_SDH (millimolar)');
LEGEND_CONSTANTS(:,54) = strpad('Km_MAL in component V_MDH (millimolar)');
LEGEND_CONSTANTS(:,55) = strpad('Kcat_MDH in component V_MDH (first_order_rate_constant)');
LEGEND_CONSTANTS(:,56) = strpad('ET_MDH in component V_MDH (millimolar)');
LEGEND_CONSTANTS(:,57) = strpad('Ki_OAA in component V_MDH (millimolar)');
LEGEND_CONSTANTS(:,107) = strpad('fh_a in component V_MDH (dimensionless)');
LEGEND_CONSTANTS(:,108) = strpad('fh_i in component V_MDH (dimensionless)');
LEGEND_CONSTANTS(:,58) = strpad('Km_NAD in component V_MDH (millimolar)');
LEGEND_CONSTANTS(:,59) = strpad('kh1 in component V_MDH (millimolar)');
LEGEND_CONSTANTS(:,60) = strpad('kh2 in component V_MDH (millimolar)');
LEGEND_CONSTANTS(:,61) = strpad('kh3 in component V_MDH (millimolar)');
LEGEND_CONSTANTS(:,62) = strpad('kh4 in component V_MDH (millimolar)');
LEGEND_CONSTANTS(:,63) = strpad('k_offset in component V_MDH (dimensionless)');
LEGEND_CONSTANTS(:,64) = strpad('Ke_FH in component V_FH (dimensionless)');
LEGEND_CONSTANTS(:,65) = strpad('kf_FH in component V_FH (first_order_rate_constant)');
LEGEND_CONSTANTS(:,66) = strpad('Ke_AAT in component V_AAT (dimensionless)');
LEGEND_CONSTANTS(:,67) = strpad('kf_AAT in component V_AAT (second_order_rate_constant)');
LEGEND_CONSTANTS(:,68) = strpad('k_C_ASP in component V_C_ASP (first_order_rate_constant)');
LEGEND_CONSTANTS(:,69) = strpad('rho_res in component oxidative_phosphorylation (millimolar)');
LEGEND_CONSTANTS(:,70) = strpad('rho_res_F in component oxidative_phosphorylation (millimolar)');
LEGEND_CONSTANTS(:,71) = strpad('ra in component oxidative_phosphorylation (first_order_rate_constant)');
LEGEND_CONSTANTS(:,72) = strpad('rc1 in component oxidative_phosphorylation (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,14) = strpad('Ares in component oxidative_phosphorylation (volt)');
LEGEND_CONSTANTS(:,106) = strpad('Ares_F in component oxidative_phosphorylation (volt)');
LEGEND_CONSTANTS(:,73) = strpad('r1 in component oxidative_phosphorylation (dimensionless)');
LEGEND_CONSTANTS(:,74) = strpad('r2 in component oxidative_phosphorylation (dimensionless)');
LEGEND_CONSTANTS(:,75) = strpad('r3 in component oxidative_phosphorylation (dimensionless)');
LEGEND_CONSTANTS(:,76) = strpad('rb in component oxidative_phosphorylation (first_order_rate_constant)');
LEGEND_CONSTANTS(:,77) = strpad('rc2 in component oxidative_phosphorylation (first_order_rate_constant)');
LEGEND_CONSTANTS(:,78) = strpad('Kres in component oxidative_phosphorylation (dimensionless)');
LEGEND_CONSTANTS(:,79) = strpad('Kres_F in component oxidative_phosphorylation (dimensionless)');
LEGEND_CONSTANTS(:,80) = strpad('gH in component oxidative_phosphorylation (millimolar_per_second_volt)');
LEGEND_CONSTANTS(:,81) = strpad('delta_psi_B in component oxidative_phosphorylation (volt)');
LEGEND_CONSTANTS(:,82) = strpad('g in component oxidative_phosphorylation (dimensionless)');
LEGEND_ALGEBRAIC(:,17) = strpad('delta_mu_H in component oxidative_phosphorylation (volt)');
LEGEND_CONSTANTS(:,83) = strpad('delta_pH in component oxidative_phosphorylation (dimensionless)');
LEGEND_CONSTANTS(:,84) = strpad('rho_F1 in component oxidative_phosphorylation (millimolar)');
LEGEND_CONSTANTS(:,85) = strpad('pa in component oxidative_phosphorylation (first_order_rate_constant)');
LEGEND_CONSTANTS(:,86) = strpad('pc1 in component oxidative_phosphorylation (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,23) = strpad('AF1 in component oxidative_phosphorylation (volt)');
LEGEND_CONSTANTS(:,87) = strpad('p1 in component oxidative_phosphorylation (dimensionless)');
LEGEND_CONSTANTS(:,88) = strpad('p2 in component oxidative_phosphorylation (dimensionless)');
LEGEND_CONSTANTS(:,89) = strpad('p3 in component oxidative_phosphorylation (dimensionless)');
LEGEND_CONSTANTS(:,90) = strpad('pb in component oxidative_phosphorylation (first_order_rate_constant)');
LEGEND_CONSTANTS(:,91) = strpad('pc2 in component oxidative_phosphorylation (first_order_rate_constant)');
LEGEND_CONSTANTS(:,92) = strpad('KF1 in component oxidative_phosphorylation (millimolar)');
LEGEND_CONSTANTS(:,93) = strpad('h in component calcium_dynamics (dimensionless)');
LEGEND_CONSTANTS(:,94) = strpad('delta_psi_0 in component calcium_dynamics (volt)');
LEGEND_CONSTANTS(:,95) = strpad('Vmax_ANT in component calcium_dynamics (flux)');
LEGEND_CONSTANTS(:,96) = strpad('L in component calcium_dynamics (dimensionless)');
LEGEND_CONSTANTS(:,97) = strpad('na in component calcium_dynamics (dimensionless)');
LEGEND_CONSTANTS(:,98) = strpad('Vmax_uni in component calcium_dynamics (flux)');
LEGEND_CONSTANTS(:,99) = strpad('K_act in component calcium_dynamics (micromolar)');
LEGEND_CONSTANTS(:,100) = strpad('K_trans in component calcium_dynamics (micromolar)');
LEGEND_CONSTANTS(:,101) = strpad('n in component calcium_dynamics (dimensionless)');
LEGEND_CONSTANTS(:,102) = strpad('Vmax_NaCa in component calcium_dynamics (flux)');
LEGEND_CONSTANTS(:,103) = strpad('KNa in component calcium_dynamics (millimolar)');
LEGEND_CONSTANTS(:,104) = strpad('KCa in component calcium_dynamics (micromolar)');
LEGEND_CONSTANTS(:,105) = 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 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) = 8.315;
CONSTANTS(:,21) = 310.16;
CONSTANTS(:,22) = 96480;
CONSTANTS(:,23) = 1.812;
CONSTANTS(:,24) = 1.26E-2;
CONSTANTS(:,25) = 6.4E-4;
CONSTANTS(:,26) = 3.2;
CONSTANTS(:,27) = 0.4;
CONSTANTS(:,28) = 12.5;
CONSTANTS(:,29) = 2.22;
CONSTANTS(:,30) = 8.1E-5;
CONSTANTS(:,31) = 5.98E-5;
CONSTANTS(:,32) = 1.52;
CONSTANTS(:,33) = 6.2E-2;
CONSTANTS(:,34) = 1.41;
CONSTANTS(:,35) = 0.923;
CONSTANTS(:,36) = 0.19;
CONSTANTS(:,37) = 1.94;
CONSTANTS(:,38) = 0.109;
CONSTANTS(:,39) = 1;
CONSTANTS(:,40) = 1.94;
CONSTANTS(:,41) = 0.15;
CONSTANTS(:,42) = 0.5;
CONSTANTS(:,43) = 0.0308;
CONSTANTS(:,44) = 1.27;
CONSTANTS(:,45) = 1.2;
CONSTANTS(:,46) = 38.7;
CONSTANTS(:,47) = 0.127;
CONSTANTS(:,48) = 3.115;
CONSTANTS(:,49) = 0.15;
CONSTANTS(:,50) = 1.0;
CONSTANTS(:,51) = 0.5;
CONSTANTS(:,52) = 3.0E-2;
CONSTANTS(:,53) = 1.3;
CONSTANTS(:,54) = 1.493;
CONSTANTS(:,55) = 2.775E1;
CONSTANTS(:,56) = 0.154;
CONSTANTS(:,57) = 3.1E-3;
CONSTANTS(:,58) = 0.2244;
CONSTANTS(:,59) = 1.13E-5;
CONSTANTS(:,60) = 26.7;
CONSTANTS(:,61) = 6.68E-9;
CONSTANTS(:,62) = 5.62E-6;
CONSTANTS(:,63) = 3.99E-2;
CONSTANTS(:,64) = 1.0;
CONSTANTS(:,65) = 0.83;
CONSTANTS(:,66) = 6.6;
CONSTANTS(:,67) = 0.644;
CONSTANTS(:,68) = 0.01;
CONSTANTS(:,69) = 0.0006;
CONSTANTS(:,70) = 0.0045;
CONSTANTS(:,71) = 6.394E-10;
CONSTANTS(:,72) = 2.656E-19;
CONSTANTS(:,73) = 2.077E-18;
CONSTANTS(:,74) = 1.728E-9;
CONSTANTS(:,75) = 1.059E-26;
CONSTANTS(:,76) = 1.762E-13;
CONSTANTS(:,77) = 8.632E-27;
CONSTANTS(:,78) = 1.35E18;
CONSTANTS(:,79) = 5.765E13;
CONSTANTS(:,80) = 0.01;
CONSTANTS(:,81) = 0.05;
CONSTANTS(:,82) = 0.85;
CONSTANTS(:,83) = -0.6;
CONSTANTS(:,84) = 0.06;
CONSTANTS(:,85) = 1.656E-5;
CONSTANTS(:,86) = 9.651E-14;
CONSTANTS(:,87) = 1.346E-8;
CONSTANTS(:,88) = 7.739E-7;
CONSTANTS(:,89) = 6.65E-15;
CONSTANTS(:,90) = 3.373E-7;
CONSTANTS(:,91) = 4.585E-14;
CONSTANTS(:,92) = 1.71E6;
CONSTANTS(:,93) = 0.5;
CONSTANTS(:,94) = 0.091;
CONSTANTS(:,95) = 0.05;
CONSTANTS(:,96) = 110.0;
CONSTANTS(:,97) = 2.8;
CONSTANTS(:,98) = 0.000625;
CONSTANTS(:,99) = 0.38;
CONSTANTS(:,100) = 19.0;
CONSTANTS(:,101) = 3.0;
CONSTANTS(:,102) = 0.005;
CONSTANTS(:,103) = 9.4;
CONSTANTS(:,104) = 3.75E-1;
CONSTANTS(:,105) = 0.5;
CONSTANTS(:,106) = (( CONSTANTS(:,20).*CONSTANTS(:,21))./CONSTANTS(:,22)).*log( CONSTANTS(:,79).*power(CONSTANTS(:,17)./CONSTANTS(:,16), 0.500000));
CONSTANTS(:,107) = 1.00000./(1.00000+CONSTANTS(:,12)./CONSTANTS(:,59)+power(CONSTANTS(:,12), 2.00000)./( CONSTANTS(:,59).*CONSTANTS(:,60)))+CONSTANTS(:,63);
CONSTANTS(:,108) = power(1.00000./(1.00000+CONSTANTS(:,61)./CONSTANTS(:,12)+( CONSTANTS(:,61).*CONSTANTS(:,62))./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(:,9) = ( CONSTANTS(:,37).*CONSTANTS(:,38))./(1.00000+CONSTANTS(:,12)./CONSTANTS(:,30)+CONSTANTS(:,31)./CONSTANTS(:,12)+power(CONSTANTS(:,32)./STATES(:,3), CONSTANTS(:,39))./( (1.00000+STATES(:,1)./CONSTANTS(:,33)).*(1.00000+STATES(:,11)./CONSTANTS(:,34)))+ (CONSTANTS(:,35)./ALGEBRAIC(:,5)).*(1.00000+STATES(:,2)./CONSTANTS(:,36))+( power(CONSTANTS(:,32)./STATES(:,3), CONSTANTS(:,39)).*(CONSTANTS(:,35)./ALGEBRAIC(:,5)).*(1.00000+STATES(:,2)./CONSTANTS(:,36)))./( (1.00000+STATES(:,1)./CONSTANTS(:,33)).*(1.00000+STATES(:,11)./CONSTANTS(:,34))));
ALGEBRAIC(:,6) = CONSTANTS(:,19) - (STATES(:,3)+STATES(:,4)+STATES(:,5)+STATES(:,6)+STATES(:,7)+STATES(:,8)+STATES(:,9));
ALGEBRAIC(:,8) = CONSTANTS(:,28).*(ALGEBRAIC(:,6) - STATES(:,3)./CONSTANTS(:,29));
RATES(:,3) = ALGEBRAIC(:,8) - ALGEBRAIC(:,9);
ALGEBRAIC(:,3) = CONSTANTS(:,8) - STATES(:,1);
ALGEBRAIC(:,11) = CONSTANTS(:,47).*( STATES(:,5).*STATES(:,1) - ( STATES(:,6).*ALGEBRAIC(:,3).*CONSTANTS(:,14))./CONSTANTS(:,48));
ALGEBRAIC(:,10) = ( CONSTANTS(:,41).*CONSTANTS(:,42))./(1.00000+power(CONSTANTS(:,40)./STATES(:,4), CONSTANTS(:,45))./( (1.00000+CONSTANTS(:,11)./CONSTANTS(:,43)).*(1.00000+STATES(:,11)./CONSTANTS(:,44)))+(CONSTANTS(:,46)./ALGEBRAIC(:,5))./( (1.00000+CONSTANTS(:,11)./CONSTANTS(:,43)).*(1.00000+STATES(:,11)./CONSTANTS(:,44))));
RATES(:,5) = ALGEBRAIC(:,10) - ALGEBRAIC(:,11);
ALGEBRAIC(:,12) = ( CONSTANTS(:,50).*CONSTANTS(:,51))./(1.00000+ (CONSTANTS(:,52)./STATES(:,6)).*(1.00000+STATES(:,9)./CONSTANTS(:,49)).*(1.00000+STATES(:,7)./CONSTANTS(:,53)));
RATES(:,6) = ALGEBRAIC(:,11) - ALGEBRAIC(:,12);
ALGEBRAIC(:,15) = CONSTANTS(:,67).*( STATES(:,9).*CONSTANTS(:,10) - ( STATES(:,4).*STATES(:,10))./CONSTANTS(:,66));
RATES(:,4) = ALGEBRAIC(:,15)+ALGEBRAIC(:,9)+ - ALGEBRAIC(:,10);
ALGEBRAIC(:,16) = CONSTANTS(:,65).*(STATES(:,7) - STATES(:,8)./CONSTANTS(:,64));
RATES(:,7) = ALGEBRAIC(:,12) - ALGEBRAIC(:,16);
ALGEBRAIC(:,13) = ( CONSTANTS(:,55).*CONSTANTS(:,56).*CONSTANTS(:,107).*CONSTANTS(:,108))./(1.00000+ (CONSTANTS(:,54)./STATES(:,8)).*(1.00000+STATES(:,9)./CONSTANTS(:,57))+CONSTANTS(:,58)./ALGEBRAIC(:,5)+ (CONSTANTS(:,54)./STATES(:,8)).*(1.00000+STATES(:,9)./CONSTANTS(:,57)).*(CONSTANTS(:,58)./ALGEBRAIC(:,5)));
RATES(:,8) = ALGEBRAIC(:,16) - ALGEBRAIC(:,13);
ALGEBRAIC(:,7) = ( CONSTANTS(:,26).*CONSTANTS(:,27))./(1.00000+CONSTANTS(:,24)./CONSTANTS(:,15)+CONSTANTS(:,25)./STATES(:,9)+ (CONSTANTS(:,24)./CONSTANTS(:,15)).*(CONSTANTS(:,25)./STATES(:,9)));
RATES(:,9) = ALGEBRAIC(:,13) - (ALGEBRAIC(:,7)+ALGEBRAIC(:,15));
ALGEBRAIC(:,18) = CONSTANTS(:,68).*STATES(:,10);
RATES(:,10) = ALGEBRAIC(:,15) - ALGEBRAIC(:,18);
ALGEBRAIC(:,14) = (( CONSTANTS(:,20).*CONSTANTS(:,21))./CONSTANTS(:,22)).*log( CONSTANTS(:,78).*power(STATES(:,2)./ALGEBRAIC(:,5), 0.500000));
ALGEBRAIC(:,17) = (( CONSTANTS(:,20).*CONSTANTS(:,21))./CONSTANTS(:,22)).*CONSTANTS(:,83)+STATES(:,12);
ALGEBRAIC(:,20) = 0.500000.*CONSTANTS(:,69).*((( (CONSTANTS(:,71)+ CONSTANTS(:,72).*exp(( 6.00000.*CONSTANTS(:,22).*CONSTANTS(:,81))./( CONSTANTS(:,20).*CONSTANTS(:,21)))).*exp(( ALGEBRAIC(:,14).*CONSTANTS(:,22))./( CONSTANTS(:,20).*CONSTANTS(:,21))) - CONSTANTS(:,71).*exp(( CONSTANTS(:,82).*6.00000.*CONSTANTS(:,22).*ALGEBRAIC(:,17))./( CONSTANTS(:,20).*CONSTANTS(:,21))))+ CONSTANTS(:,77).*exp(( ALGEBRAIC(:,14).*CONSTANTS(:,22))./( CONSTANTS(:,20).*CONSTANTS(:,21))).*exp(( CONSTANTS(:,82).*6.00000.*CONSTANTS(:,22).*ALGEBRAIC(:,17))./( CONSTANTS(:,20).*CONSTANTS(:,21))))./( (1.00000+ CONSTANTS(:,73).*exp(( CONSTANTS(:,22).*ALGEBRAIC(:,14))./( CONSTANTS(:,20).*CONSTANTS(:,21)))).*exp(( 6.00000.*CONSTANTS(:,22).*CONSTANTS(:,81))./( CONSTANTS(:,20).*CONSTANTS(:,21)))+ (CONSTANTS(:,74)+ CONSTANTS(:,75).*exp(( CONSTANTS(:,22).*ALGEBRAIC(:,14))./( CONSTANTS(:,20).*CONSTANTS(:,21)))).*exp(( CONSTANTS(:,82).*6.00000.*CONSTANTS(:,22).*ALGEBRAIC(:,17))./( CONSTANTS(:,20).*CONSTANTS(:,21)))));
RATES(:,2) = - ALGEBRAIC(:,20)+ALGEBRAIC(:,9)+ALGEBRAIC(:,10)+ALGEBRAIC(:,13);
ALGEBRAIC(:,4) = piecewise({VOI>=100.000&VOI<300.000, CONSTANTS(:,9) }, 0.0500000);
ALGEBRAIC(:,26) = CONSTANTS(:,95).*((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(:,93).*CONSTANTS(:,22).*CONSTANTS(:,94))./( CONSTANTS(:,20).*CONSTANTS(:,21)))).*(1.00000+( 0.450000.*0.800000.*STATES(:,1))./( 0.0500000.*ALGEBRAIC(:,3)))));
ALGEBRAIC(:,23) = (( CONSTANTS(:,20).*CONSTANTS(:,21))./CONSTANTS(:,22)).*log( CONSTANTS(:,92).*(ALGEBRAIC(:,3)./( STATES(:,1).*CONSTANTS(:,13))));
ALGEBRAIC(:,24) = - CONSTANTS(:,84).*(( ( 100.000.*CONSTANTS(:,85)+ CONSTANTS(:,86).*exp(( 3.00000.*CONSTANTS(:,22).*CONSTANTS(:,81))./( CONSTANTS(:,20).*CONSTANTS(:,21)))).*exp(( ALGEBRAIC(:,23).*CONSTANTS(:,22))./( CONSTANTS(:,20).*CONSTANTS(:,21))) - ( CONSTANTS(:,85).*exp(( 3.00000.*CONSTANTS(:,22).*ALGEBRAIC(:,17))./( CONSTANTS(:,20).*CONSTANTS(:,21)))+ CONSTANTS(:,91).*exp(( ALGEBRAIC(:,23).*CONSTANTS(:,22))./( CONSTANTS(:,20).*CONSTANTS(:,21))).*exp(( 3.00000.*CONSTANTS(:,22).*ALGEBRAIC(:,17))./( CONSTANTS(:,20).*CONSTANTS(:,21)))))./( (1.00000+ CONSTANTS(:,87).*exp(( CONSTANTS(:,22).*ALGEBRAIC(:,23))./( CONSTANTS(:,20).*CONSTANTS(:,21)))).*exp(( 3.00000.*CONSTANTS(:,22).*CONSTANTS(:,81))./( CONSTANTS(:,20).*CONSTANTS(:,21)))+ (CONSTANTS(:,88)+ CONSTANTS(:,89).*exp(( CONSTANTS(:,22).*ALGEBRAIC(:,23))./( CONSTANTS(:,20).*CONSTANTS(:,21)))).*exp(( 3.00000.*CONSTANTS(:,22).*ALGEBRAIC(:,17))./( CONSTANTS(:,20).*CONSTANTS(:,21)))));
RATES(:,1) = ALGEBRAIC(:,26) - (ALGEBRAIC(:,24)+ALGEBRAIC(:,11));
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(:,27) = CONSTANTS(:,98).*(( (ALGEBRAIC(:,2)./CONSTANTS(:,100)).*power(1.00000+ALGEBRAIC(:,2)./CONSTANTS(:,100), 3.00000).*(( 2.00000.*CONSTANTS(:,22).*(STATES(:,12) - CONSTANTS(:,94)))./( CONSTANTS(:,20).*CONSTANTS(:,21))))./(power(1.00000+ALGEBRAIC(:,2)./CONSTANTS(:,100), 4.00000)+ (CONSTANTS(:,96)./power(1.00000+ALGEBRAIC(:,2)./CONSTANTS(:,99), CONSTANTS(:,97))).*(1.00000 - exp(( -2.00000.*CONSTANTS(:,22).*(STATES(:,12) - CONSTANTS(:,94)))./( CONSTANTS(:,20).*CONSTANTS(:,21))))));
ALGEBRAIC(:,28) = CONSTANTS(:,102).*(( exp(( CONSTANTS(:,105).*CONSTANTS(:,22).*(STATES(:,12) - CONSTANTS(:,94)))./( CONSTANTS(:,20).*CONSTANTS(:,21))).*exp(log(ALGEBRAIC(:,2)./STATES(:,11))))./( power(1.00000+CONSTANTS(:,103)./CONSTANTS(:,6), CONSTANTS(:,101)).*(1.00000+CONSTANTS(:,104)./STATES(:,11))));
RATES(:,11) = CONSTANTS(:,1).*1.00000.*(ALGEBRAIC(:,27) - ALGEBRAIC(:,28));
ALGEBRAIC(:,19) = 6.00000.*CONSTANTS(:,69).*(( CONSTANTS(:,71).*exp(( CONSTANTS(:,22).*ALGEBRAIC(:,14))./( CONSTANTS(:,20).*CONSTANTS(:,21))) - (CONSTANTS(:,71)+CONSTANTS(:,76)).*exp(( CONSTANTS(:,82).*6.00000.*CONSTANTS(:,22).*ALGEBRAIC(:,17))./( CONSTANTS(:,20).*CONSTANTS(:,21))))./( (1.00000+ CONSTANTS(:,73).*exp(( CONSTANTS(:,22).*ALGEBRAIC(:,14))./( CONSTANTS(:,20).*CONSTANTS(:,21)))).*exp(( 6.00000.*CONSTANTS(:,22).*CONSTANTS(:,81))./( CONSTANTS(:,20).*CONSTANTS(:,21)))+ (CONSTANTS(:,74)+ CONSTANTS(:,75).*exp(( CONSTANTS(:,22).*ALGEBRAIC(:,14))./( CONSTANTS(:,20).*CONSTANTS(:,21)))).*exp(( CONSTANTS(:,82).*6.00000.*CONSTANTS(:,22).*ALGEBRAIC(:,17))./( CONSTANTS(:,20).*CONSTANTS(:,21)))));
ALGEBRAIC(:,21) = 6.00000.*CONSTANTS(:,70).*(( CONSTANTS(:,71).*exp(( CONSTANTS(:,22).*CONSTANTS(:,106))./( CONSTANTS(:,20).*CONSTANTS(:,21))) - (CONSTANTS(:,71)+CONSTANTS(:,76)).*exp(( CONSTANTS(:,82).*6.00000.*CONSTANTS(:,22).*ALGEBRAIC(:,17))./( CONSTANTS(:,20).*CONSTANTS(:,21))))./( (1.00000+ CONSTANTS(:,73).*exp(( CONSTANTS(:,22).*CONSTANTS(:,106))./( CONSTANTS(:,20).*CONSTANTS(:,21)))).*exp(( 6.00000.*CONSTANTS(:,22).*CONSTANTS(:,81))./( CONSTANTS(:,20).*CONSTANTS(:,21)))+ (CONSTANTS(:,74)+ CONSTANTS(:,75).*exp(( CONSTANTS(:,22).*CONSTANTS(:,106))./( CONSTANTS(:,20).*CONSTANTS(:,21)))).*exp(( CONSTANTS(:,82).*6.00000.*CONSTANTS(:,22).*ALGEBRAIC(:,17))./( CONSTANTS(:,20).*CONSTANTS(:,21)))));
ALGEBRAIC(:,25) = -3.00000.*CONSTANTS(:,84).*(( 100.000.*CONSTANTS(:,85).*(1.00000+exp(( CONSTANTS(:,22).*ALGEBRAIC(:,23))./( CONSTANTS(:,20).*CONSTANTS(:,21)))) - (CONSTANTS(:,85)+CONSTANTS(:,90)).*exp(( 3.00000.*CONSTANTS(:,22).*ALGEBRAIC(:,17))./( CONSTANTS(:,20).*CONSTANTS(:,21))))./( (1.00000+ CONSTANTS(:,87).*exp(( CONSTANTS(:,22).*ALGEBRAIC(:,23))./( CONSTANTS(:,20).*CONSTANTS(:,21)))).*exp(( 3.00000.*CONSTANTS(:,22).*CONSTANTS(:,81))./( CONSTANTS(:,20).*CONSTANTS(:,21)))+ (CONSTANTS(:,88)+ CONSTANTS(:,89).*exp(( CONSTANTS(:,22).*ALGEBRAIC(:,23))./( CONSTANTS(:,20).*CONSTANTS(:,21)))).*exp(( 3.00000.*CONSTANTS(:,22).*ALGEBRAIC(:,17))./( CONSTANTS(:,20).*CONSTANTS(:,21)))));
ALGEBRAIC(:,22) = CONSTANTS(:,80).*ALGEBRAIC(:,17);
RATES(:,12) = (ALGEBRAIC(:,19)+ALGEBRAIC(:,21)+ - (ALGEBRAIC(:,25)+ALGEBRAIC(:,26)+ALGEBRAIC(:,22)+ALGEBRAIC(:,28)+ 2.00000.*ALGEBRAIC(:,27)))./CONSTANTS(:,23);
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(:,9) = ( CONSTANTS(:,37).*CONSTANTS(:,38))./(1.00000+CONSTANTS(:,12)./CONSTANTS(:,30)+CONSTANTS(:,31)./CONSTANTS(:,12)+power(CONSTANTS(:,32)./STATES(:,3), CONSTANTS(:,39))./( (1.00000+STATES(:,1)./CONSTANTS(:,33)).*(1.00000+STATES(:,11)./CONSTANTS(:,34)))+ (CONSTANTS(:,35)./ALGEBRAIC(:,5)).*(1.00000+STATES(:,2)./CONSTANTS(:,36))+( power(CONSTANTS(:,32)./STATES(:,3), CONSTANTS(:,39)).*(CONSTANTS(:,35)./ALGEBRAIC(:,5)).*(1.00000+STATES(:,2)./CONSTANTS(:,36)))./( (1.00000+STATES(:,1)./CONSTANTS(:,33)).*(1.00000+STATES(:,11)./CONSTANTS(:,34))));
ALGEBRAIC(:,6) = CONSTANTS(:,19) - (STATES(:,3)+STATES(:,4)+STATES(:,5)+STATES(:,6)+STATES(:,7)+STATES(:,8)+STATES(:,9));
ALGEBRAIC(:,8) = CONSTANTS(:,28).*(ALGEBRAIC(:,6) - STATES(:,3)./CONSTANTS(:,29));
ALGEBRAIC(:,3) = CONSTANTS(:,8) - STATES(:,1);
ALGEBRAIC(:,11) = CONSTANTS(:,47).*( STATES(:,5).*STATES(:,1) - ( STATES(:,6).*ALGEBRAIC(:,3).*CONSTANTS(:,14))./CONSTANTS(:,48));
ALGEBRAIC(:,10) = ( CONSTANTS(:,41).*CONSTANTS(:,42))./(1.00000+power(CONSTANTS(:,40)./STATES(:,4), CONSTANTS(:,45))./( (1.00000+CONSTANTS(:,11)./CONSTANTS(:,43)).*(1.00000+STATES(:,11)./CONSTANTS(:,44)))+(CONSTANTS(:,46)./ALGEBRAIC(:,5))./( (1.00000+CONSTANTS(:,11)./CONSTANTS(:,43)).*(1.00000+STATES(:,11)./CONSTANTS(:,44))));
ALGEBRAIC(:,12) = ( CONSTANTS(:,50).*CONSTANTS(:,51))./(1.00000+ (CONSTANTS(:,52)./STATES(:,6)).*(1.00000+STATES(:,9)./CONSTANTS(:,49)).*(1.00000+STATES(:,7)./CONSTANTS(:,53)));
ALGEBRAIC(:,15) = CONSTANTS(:,67).*( STATES(:,9).*CONSTANTS(:,10) - ( STATES(:,4).*STATES(:,10))./CONSTANTS(:,66));
ALGEBRAIC(:,16) = CONSTANTS(:,65).*(STATES(:,7) - STATES(:,8)./CONSTANTS(:,64));
ALGEBRAIC(:,13) = ( CONSTANTS(:,55).*CONSTANTS(:,56).*CONSTANTS(:,107).*CONSTANTS(:,108))./(1.00000+ (CONSTANTS(:,54)./STATES(:,8)).*(1.00000+STATES(:,9)./CONSTANTS(:,57))+CONSTANTS(:,58)./ALGEBRAIC(:,5)+ (CONSTANTS(:,54)./STATES(:,8)).*(1.00000+STATES(:,9)./CONSTANTS(:,57)).*(CONSTANTS(:,58)./ALGEBRAIC(:,5)));
ALGEBRAIC(:,7) = ( CONSTANTS(:,26).*CONSTANTS(:,27))./(1.00000+CONSTANTS(:,24)./CONSTANTS(:,15)+CONSTANTS(:,25)./STATES(:,9)+ (CONSTANTS(:,24)./CONSTANTS(:,15)).*(CONSTANTS(:,25)./STATES(:,9)));
ALGEBRAIC(:,18) = CONSTANTS(:,68).*STATES(:,10);
ALGEBRAIC(:,14) = (( CONSTANTS(:,20).*CONSTANTS(:,21))./CONSTANTS(:,22)).*log( CONSTANTS(:,78).*power(STATES(:,2)./ALGEBRAIC(:,5), 0.500000));
ALGEBRAIC(:,17) = (( CONSTANTS(:,20).*CONSTANTS(:,21))./CONSTANTS(:,22)).*CONSTANTS(:,83)+STATES(:,12);
ALGEBRAIC(:,20) = 0.500000.*CONSTANTS(:,69).*((( (CONSTANTS(:,71)+ CONSTANTS(:,72).*exp(( 6.00000.*CONSTANTS(:,22).*CONSTANTS(:,81))./( CONSTANTS(:,20).*CONSTANTS(:,21)))).*exp(( ALGEBRAIC(:,14).*CONSTANTS(:,22))./( CONSTANTS(:,20).*CONSTANTS(:,21))) - CONSTANTS(:,71).*exp(( CONSTANTS(:,82).*6.00000.*CONSTANTS(:,22).*ALGEBRAIC(:,17))./( CONSTANTS(:,20).*CONSTANTS(:,21))))+ CONSTANTS(:,77).*exp(( ALGEBRAIC(:,14).*CONSTANTS(:,22))./( CONSTANTS(:,20).*CONSTANTS(:,21))).*exp(( CONSTANTS(:,82).*6.00000.*CONSTANTS(:,22).*ALGEBRAIC(:,17))./( CONSTANTS(:,20).*CONSTANTS(:,21))))./( (1.00000+ CONSTANTS(:,73).*exp(( CONSTANTS(:,22).*ALGEBRAIC(:,14))./( CONSTANTS(:,20).*CONSTANTS(:,21)))).*exp(( 6.00000.*CONSTANTS(:,22).*CONSTANTS(:,81))./( CONSTANTS(:,20).*CONSTANTS(:,21)))+ (CONSTANTS(:,74)+ CONSTANTS(:,75).*exp(( CONSTANTS(:,22).*ALGEBRAIC(:,14))./( CONSTANTS(:,20).*CONSTANTS(:,21)))).*exp(( CONSTANTS(:,82).*6.00000.*CONSTANTS(:,22).*ALGEBRAIC(:,17))./( CONSTANTS(:,20).*CONSTANTS(:,21)))));
ALGEBRAIC(:,4) = piecewise({VOI>=100.000&VOI<300.000, CONSTANTS(:,9) }, 0.0500000);
ALGEBRAIC(:,26) = CONSTANTS(:,95).*((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(:,93).*CONSTANTS(:,22).*CONSTANTS(:,94))./( CONSTANTS(:,20).*CONSTANTS(:,21)))).*(1.00000+( 0.450000.*0.800000.*STATES(:,1))./( 0.0500000.*ALGEBRAIC(:,3)))));
ALGEBRAIC(:,23) = (( CONSTANTS(:,20).*CONSTANTS(:,21))./CONSTANTS(:,22)).*log( CONSTANTS(:,92).*(ALGEBRAIC(:,3)./( STATES(:,1).*CONSTANTS(:,13))));
ALGEBRAIC(:,24) = - CONSTANTS(:,84).*(( ( 100.000.*CONSTANTS(:,85)+ CONSTANTS(:,86).*exp(( 3.00000.*CONSTANTS(:,22).*CONSTANTS(:,81))./( CONSTANTS(:,20).*CONSTANTS(:,21)))).*exp(( ALGEBRAIC(:,23).*CONSTANTS(:,22))./( CONSTANTS(:,20).*CONSTANTS(:,21))) - ( CONSTANTS(:,85).*exp(( 3.00000.*CONSTANTS(:,22).*ALGEBRAIC(:,17))./( CONSTANTS(:,20).*CONSTANTS(:,21)))+ CONSTANTS(:,91).*exp(( ALGEBRAIC(:,23).*CONSTANTS(:,22))./( CONSTANTS(:,20).*CONSTANTS(:,21))).*exp(( 3.00000.*CONSTANTS(:,22).*ALGEBRAIC(:,17))./( CONSTANTS(:,20).*CONSTANTS(:,21)))))./( (1.00000+ CONSTANTS(:,87).*exp(( CONSTANTS(:,22).*ALGEBRAIC(:,23))./( CONSTANTS(:,20).*CONSTANTS(:,21)))).*exp(( 3.00000.*CONSTANTS(:,22).*CONSTANTS(:,81))./( CONSTANTS(:,20).*CONSTANTS(:,21)))+ (CONSTANTS(:,88)+ CONSTANTS(:,89).*exp(( CONSTANTS(:,22).*ALGEBRAIC(:,23))./( CONSTANTS(:,20).*CONSTANTS(:,21)))).*exp(( 3.00000.*CONSTANTS(:,22).*ALGEBRAIC(:,17))./( CONSTANTS(:,20).*CONSTANTS(:,21)))));
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(:,27) = CONSTANTS(:,98).*(( (ALGEBRAIC(:,2)./CONSTANTS(:,100)).*power(1.00000+ALGEBRAIC(:,2)./CONSTANTS(:,100), 3.00000).*(( 2.00000.*CONSTANTS(:,22).*(STATES(:,12) - CONSTANTS(:,94)))./( CONSTANTS(:,20).*CONSTANTS(:,21))))./(power(1.00000+ALGEBRAIC(:,2)./CONSTANTS(:,100), 4.00000)+ (CONSTANTS(:,96)./power(1.00000+ALGEBRAIC(:,2)./CONSTANTS(:,99), CONSTANTS(:,97))).*(1.00000 - exp(( -2.00000.*CONSTANTS(:,22).*(STATES(:,12) - CONSTANTS(:,94)))./( CONSTANTS(:,20).*CONSTANTS(:,21))))));
ALGEBRAIC(:,28) = CONSTANTS(:,102).*(( exp(( CONSTANTS(:,105).*CONSTANTS(:,22).*(STATES(:,12) - CONSTANTS(:,94)))./( CONSTANTS(:,20).*CONSTANTS(:,21))).*exp(log(ALGEBRAIC(:,2)./STATES(:,11))))./( power(1.00000+CONSTANTS(:,103)./CONSTANTS(:,6), CONSTANTS(:,101)).*(1.00000+CONSTANTS(:,104)./STATES(:,11))));
ALGEBRAIC(:,19) = 6.00000.*CONSTANTS(:,69).*(( CONSTANTS(:,71).*exp(( CONSTANTS(:,22).*ALGEBRAIC(:,14))./( CONSTANTS(:,20).*CONSTANTS(:,21))) - (CONSTANTS(:,71)+CONSTANTS(:,76)).*exp(( CONSTANTS(:,82).*6.00000.*CONSTANTS(:,22).*ALGEBRAIC(:,17))./( CONSTANTS(:,20).*CONSTANTS(:,21))))./( (1.00000+ CONSTANTS(:,73).*exp(( CONSTANTS(:,22).*ALGEBRAIC(:,14))./( CONSTANTS(:,20).*CONSTANTS(:,21)))).*exp(( 6.00000.*CONSTANTS(:,22).*CONSTANTS(:,81))./( CONSTANTS(:,20).*CONSTANTS(:,21)))+ (CONSTANTS(:,74)+ CONSTANTS(:,75).*exp(( CONSTANTS(:,22).*ALGEBRAIC(:,14))./( CONSTANTS(:,20).*CONSTANTS(:,21)))).*exp(( CONSTANTS(:,82).*6.00000.*CONSTANTS(:,22).*ALGEBRAIC(:,17))./( CONSTANTS(:,20).*CONSTANTS(:,21)))));
ALGEBRAIC(:,21) = 6.00000.*CONSTANTS(:,70).*(( CONSTANTS(:,71).*exp(( CONSTANTS(:,22).*CONSTANTS(:,106))./( CONSTANTS(:,20).*CONSTANTS(:,21))) - (CONSTANTS(:,71)+CONSTANTS(:,76)).*exp(( CONSTANTS(:,82).*6.00000.*CONSTANTS(:,22).*ALGEBRAIC(:,17))./( CONSTANTS(:,20).*CONSTANTS(:,21))))./( (1.00000+ CONSTANTS(:,73).*exp(( CONSTANTS(:,22).*CONSTANTS(:,106))./( CONSTANTS(:,20).*CONSTANTS(:,21)))).*exp(( 6.00000.*CONSTANTS(:,22).*CONSTANTS(:,81))./( CONSTANTS(:,20).*CONSTANTS(:,21)))+ (CONSTANTS(:,74)+ CONSTANTS(:,75).*exp(( CONSTANTS(:,22).*CONSTANTS(:,106))./( CONSTANTS(:,20).*CONSTANTS(:,21)))).*exp(( CONSTANTS(:,82).*6.00000.*CONSTANTS(:,22).*ALGEBRAIC(:,17))./( CONSTANTS(:,20).*CONSTANTS(:,21)))));
ALGEBRAIC(:,25) = -3.00000.*CONSTANTS(:,84).*(( 100.000.*CONSTANTS(:,85).*(1.00000+exp(( CONSTANTS(:,22).*ALGEBRAIC(:,23))./( CONSTANTS(:,20).*CONSTANTS(:,21)))) - (CONSTANTS(:,85)+CONSTANTS(:,90)).*exp(( 3.00000.*CONSTANTS(:,22).*ALGEBRAIC(:,17))./( CONSTANTS(:,20).*CONSTANTS(:,21))))./( (1.00000+ CONSTANTS(:,87).*exp(( CONSTANTS(:,22).*ALGEBRAIC(:,23))./( CONSTANTS(:,20).*CONSTANTS(:,21)))).*exp(( 3.00000.*CONSTANTS(:,22).*CONSTANTS(:,81))./( CONSTANTS(:,20).*CONSTANTS(:,21)))+ (CONSTANTS(:,88)+ CONSTANTS(:,89).*exp(( CONSTANTS(:,22).*ALGEBRAIC(:,23))./( CONSTANTS(:,20).*CONSTANTS(:,21)))).*exp(( 3.00000.*CONSTANTS(:,22).*ALGEBRAIC(:,17))./( CONSTANTS(:,20).*CONSTANTS(:,21)))));
ALGEBRAIC(:,22) = CONSTANTS(:,80).*ALGEBRAIC(:,17);
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
% 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