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 =32;
end
% There are a total of 24 entries in each of the rate and state variable arrays.
% There are a total of 142 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 (minute)');
LEGEND_CONSTANTS(:,1) = strpad('k_rel_TPI in component parameters (dimensionless)');
LEGEND_CONSTANTS(:,2) = strpad('k_rel_GAPDH in component parameters (dimensionless)');
LEGEND_CONSTANTS(:,3) = strpad('SUMAXP in component parameters (mM)');
LEGEND_CONSTANTS(:,4) = strpad('CO2 in component extracellular (mM)');
LEGEND_CONSTANTS(:,5) = strpad('ETOH in component extracellular (mM)');
LEGEND_CONSTANTS(:,6) = strpad('SUCC in component extracellular (mM)');
LEGEND_CONSTANTS(:,7) = strpad('GLY in component extracellular (mM)');
LEGEND_CONSTANTS(:,8) = strpad('GLCo in component extracellular (mM)');
LEGEND_CONSTANTS(:,9) = strpad('cytoplasm in component cytoplasm (liter)');
LEGEND_STATES(:,1) = strpad('P in component cytoplasm (mM)');
LEGEND_STATES(:,2) = strpad('G6P in component cytoplasm (mM)');
LEGEND_STATES(:,3) = strpad('F6P in component cytoplasm (mM)');
LEGEND_STATES(:,4) = strpad('F16P in component cytoplasm (mM)');
LEGEND_STATES(:,5) = strpad('NADH in component cytoplasm (mM)');
LEGEND_STATES(:,6) = strpad('NAD in component cytoplasm (mM)');
LEGEND_STATES(:,7) = strpad('BPG in component cytoplasm (mM)');
LEGEND_STATES(:,8) = strpad('P3G in component cytoplasm (mM)');
LEGEND_STATES(:,9) = strpad('P2G in component cytoplasm (mM)');
LEGEND_STATES(:,10) = strpad('PEP in component cytoplasm (mM)');
LEGEND_STATES(:,11) = strpad('PYR in component cytoplasm (mM)');
LEGEND_STATES(:,12) = strpad('ACE in component cytoplasm (mM)');
LEGEND_CONSTANTS(:,10) = strpad('X in component cytoplasm (mM)');
LEGEND_STATES(:,13) = strpad('GA3P in component cytoplasm (mM)');
LEGEND_STATES(:,14) = strpad('DHAP in component cytoplasm (mM)');
LEGEND_STATES(:,15) = strpad('D6PGluconoLactone in component cytoplasm (mM)');
LEGEND_STATES(:,16) = strpad('D6PGluconate in component cytoplasm (mM)');
LEGEND_STATES(:,17) = strpad('NADP in component cytoplasm (mM)');
LEGEND_STATES(:,18) = strpad('NADPH in component cytoplasm (mM)');
LEGEND_STATES(:,19) = strpad('Ribulose5P in component cytoplasm (mM)');
LEGEND_STATES(:,20) = strpad('Ribose5P in component cytoplasm (mM)');
LEGEND_STATES(:,21) = strpad('Xyl5P in component cytoplasm (mM)');
LEGEND_STATES(:,22) = strpad('Seduhept7P in component cytoplasm (mM)');
LEGEND_STATES(:,23) = strpad('Erythrose4P in component cytoplasm (mM)');
LEGEND_STATES(:,24) = strpad('GLCi in component cytoplasm (mM)');
LEGEND_CONSTANTS(:,11) = strpad('F26BP in component cytoplasm (mM)');
LEGEND_ALGEBRAIC(:,1) = strpad('vGLK in component vGLK (mmol_per_min)');
LEGEND_ALGEBRAIC(:,3) = strpad('vPGI in component vPGI (mmol_per_min)');
LEGEND_ALGEBRAIC(:,11) = strpad('vPFK in component vPFK (mmol_per_min)');
LEGEND_ALGEBRAIC(:,12) = strpad('vALD in component vALD (mmol_per_min)');
LEGEND_ALGEBRAIC(:,13) = strpad('vG3PDH in component vG3PDH (mmol_per_min)');
LEGEND_ALGEBRAIC(:,14) = strpad('vGAPDH in component vGAPDH (mmol_per_min)');
LEGEND_ALGEBRAIC(:,15) = strpad('vPGK in component vPGK (mmol_per_min)');
LEGEND_ALGEBRAIC(:,17) = strpad('vPGM in component vPGM (mmol_per_min)');
LEGEND_ALGEBRAIC(:,19) = strpad('vENO in component vENO (mmol_per_min)');
LEGEND_ALGEBRAIC(:,21) = strpad('vPYK in component vPYK (mmol_per_min)');
LEGEND_ALGEBRAIC(:,23) = strpad('vPDC in component vPDC (mmol_per_min)');
LEGEND_ALGEBRAIC(:,27) = strpad('vSUC in component vSUC (mmol_per_min)');
LEGEND_ALGEBRAIC(:,29) = strpad('vADH in component vADH (mmol_per_min)');
LEGEND_ALGEBRAIC(:,24) = strpad('vATP in component vATP (mmol_per_min)');
LEGEND_ALGEBRAIC(:,16) = strpad('vTPI in component vTPI (mmol_per_min)');
LEGEND_ALGEBRAIC(:,18) = strpad('vG6PDH in component vG6PDH (mmol_per_min)');
LEGEND_ALGEBRAIC(:,20) = strpad('v6PGL in component v6PGL (mmol_per_min)');
LEGEND_ALGEBRAIC(:,22) = strpad('vGluDH in component vGluDH (mmol_per_min)');
LEGEND_ALGEBRAIC(:,25) = strpad('vPPI in component vPPI (mmol_per_min)');
LEGEND_ALGEBRAIC(:,28) = strpad('vTransk1 in component vTransk1 (mmol_per_min)');
LEGEND_ALGEBRAIC(:,30) = strpad('vR5PI in component vR5PI (mmol_per_min)');
LEGEND_ALGEBRAIC(:,31) = strpad('vTransald in component vTransald (mmol_per_min)');
LEGEND_ALGEBRAIC(:,32) = strpad('vTransk2 in component vTransk2 (mmol_per_min)');
LEGEND_ALGEBRAIC(:,26) = strpad('vNADPH in component vNADPH (mmol_per_min)');
LEGEND_ALGEBRAIC(:,4) = strpad('vGLT in component vGLT (mmol_per_min)');
LEGEND_ALGEBRAIC(:,2) = strpad('ratio_NADPH_NADP in component rules (dimensionless)');
LEGEND_CONSTANTS(:,12) = strpad('VmGLK in component vGLK (mM_per_min)');
LEGEND_CONSTANTS(:,13) = strpad('KeqAK in component vGLK (dimensionless)');
LEGEND_CONSTANTS(:,14) = strpad('KeqGLK in component vGLK (dimensionless)');
LEGEND_CONSTANTS(:,15) = strpad('KmGLKATP in component vGLK (mM)');
LEGEND_CONSTANTS(:,16) = strpad('KmGLKGLCi in component vGLK (mM)');
LEGEND_CONSTANTS(:,17) = strpad('KmGLKG6P in component vGLK (mM)');
LEGEND_CONSTANTS(:,18) = strpad('KmGLKADP in component vGLK (mM)');
LEGEND_CONSTANTS(:,19) = strpad('VmPGI in component vPGI (mM_per_min)');
LEGEND_CONSTANTS(:,20) = strpad('KmPGIG6P in component vPGI (mM)');
LEGEND_CONSTANTS(:,21) = strpad('KeqPGI in component vPGI (dimensionless)');
LEGEND_CONSTANTS(:,22) = strpad('KmPGIF6P in component vPGI (mM)');
LEGEND_ALGEBRAIC(:,5) = strpad('numerator1 in component vPFK (mmol_mM2_per_minute)');
LEGEND_ALGEBRAIC(:,6) = strpad('numerator2 in component vPFK (dimensionless)');
LEGEND_ALGEBRAIC(:,10) = strpad('denominator in component vPFK (mM2)');
LEGEND_ALGEBRAIC(:,7) = strpad('denom1 in component vPFK (dimensionless)');
LEGEND_ALGEBRAIC(:,8) = strpad('denom2 in component vPFK (dimensionless)');
LEGEND_ALGEBRAIC(:,9) = strpad('denom3 in component vPFK (dimensionless)');
LEGEND_CONSTANTS(:,23) = strpad('gR in component vPFK (dimensionless)');
LEGEND_CONSTANTS(:,24) = strpad('VmPFK in component vPFK (mM_per_min)');
LEGEND_CONSTANTS(:,25) = strpad('KeqAK in component vPFK (dimensionless)');
LEGEND_CONSTANTS(:,26) = strpad('KmPFKF6P in component vPFK (mM)');
LEGEND_CONSTANTS(:,27) = strpad('KmPFKATP in component vPFK (mM)');
LEGEND_CONSTANTS(:,28) = strpad('L0 in component vPFK (dimensionless)');
LEGEND_CONSTANTS(:,29) = strpad('CPFKF26BP in component vPFK (dimensionless)');
LEGEND_CONSTANTS(:,30) = strpad('KPFKF26BP in component vPFK (mM)');
LEGEND_CONSTANTS(:,31) = strpad('CPFKF16BP in component vPFK (dimensionless)');
LEGEND_CONSTANTS(:,32) = strpad('KPFKF16BP in component vPFK (mM)');
LEGEND_CONSTANTS(:,33) = strpad('CPFKAMP in component vPFK (dimensionless)');
LEGEND_CONSTANTS(:,34) = strpad('KPFKAMP in component vPFK (mM)');
LEGEND_CONSTANTS(:,35) = strpad('CiPFKATP in component vPFK (dimensionless)');
LEGEND_CONSTANTS(:,36) = strpad('KiPFKATP in component vPFK (mM)');
LEGEND_CONSTANTS(:,37) = strpad('CPFKATP in component vPFK (dimensionless)');
LEGEND_CONSTANTS(:,38) = strpad('VmALD in component vALD (mM_per_min)');
LEGEND_CONSTANTS(:,39) = strpad('KeqTPI in component vALD (dimensionless)');
LEGEND_CONSTANTS(:,40) = strpad('KeqALD in component vALD (mM)');
LEGEND_CONSTANTS(:,41) = strpad('KmALDF16P in component vALD (mM)');
LEGEND_CONSTANTS(:,42) = strpad('KmALDDHAP in component vALD (mM)');
LEGEND_CONSTANTS(:,43) = strpad('KmALDGAP in component vALD (mM)');
LEGEND_CONSTANTS(:,44) = strpad('KmALDGAPi in component vALD (mM)');
LEGEND_CONSTANTS(:,45) = strpad('VmG3PDH in component vG3PDH (mM_per_min)');
LEGEND_CONSTANTS(:,46) = strpad('KeqG3PDH in component vG3PDH (dimensionless)');
LEGEND_CONSTANTS(:,47) = strpad('KeqTPI in component vG3PDH (dimensionless)');
LEGEND_CONSTANTS(:,48) = strpad('KmG3PDHDHAP in component vG3PDH (mM)');
LEGEND_CONSTANTS(:,49) = strpad('KmG3PDHNADH in component vG3PDH (mM)');
LEGEND_CONSTANTS(:,50) = strpad('KmG3PDHNAD in component vG3PDH (mM)');
LEGEND_CONSTANTS(:,51) = strpad('KmG3PDHGLY in component vG3PDH (mM)');
LEGEND_CONSTANTS(:,52) = strpad('VmGAPDHr in component vGAPDH (mM_per_min)');
LEGEND_CONSTANTS(:,53) = strpad('KmGAPDHBPG in component vGAPDH (mM)');
LEGEND_CONSTANTS(:,54) = strpad('KmGAPDHNADH in component vGAPDH (mM)');
LEGEND_CONSTANTS(:,55) = strpad('KeqTPI in component vGAPDH (dimensionless)');
LEGEND_CONSTANTS(:,56) = strpad('VmGAPDHf in component vGAPDH (mM_per_min)');
LEGEND_CONSTANTS(:,57) = strpad('KmGAPDHGAP in component vGAPDH (mM)');
LEGEND_CONSTANTS(:,58) = strpad('KmGAPDHNAD in component vGAPDH (mM)');
LEGEND_CONSTANTS(:,59) = strpad('KeqGAPDH in component vGAPDH (dimensionless)');
LEGEND_CONSTANTS(:,60) = strpad('VmPGK in component vPGK (mM_per_min)');
LEGEND_CONSTANTS(:,61) = strpad('KeqPGK in component vPGK (dimensionless)');
LEGEND_CONSTANTS(:,62) = strpad('KeqAK in component vPGK (dimensionless)');
LEGEND_CONSTANTS(:,63) = strpad('KmPGKATP in component vPGK (mM)');
LEGEND_CONSTANTS(:,64) = strpad('KmPGKP3G in component vPGK (mM)');
LEGEND_CONSTANTS(:,65) = strpad('KmPGKADP in component vPGK (mM)');
LEGEND_CONSTANTS(:,66) = strpad('KmPGKBPG in component vPGK (mM)');
LEGEND_CONSTANTS(:,67) = strpad('VmPGM in component vPGM (mM_per_min)');
LEGEND_CONSTANTS(:,68) = strpad('KmPGMP3G in component vPGM (mM)');
LEGEND_CONSTANTS(:,69) = strpad('KeqPGM in component vPGM (dimensionless)');
LEGEND_CONSTANTS(:,70) = strpad('KmPGMP2G in component vPGM (mM)');
LEGEND_CONSTANTS(:,71) = strpad('VmENO in component vENO (mM_per_min)');
LEGEND_CONSTANTS(:,72) = strpad('KmENOP2G in component vENO (mM)');
LEGEND_CONSTANTS(:,73) = strpad('KeqENO in component vENO (dimensionless)');
LEGEND_CONSTANTS(:,74) = strpad('KmENOPEP in component vENO (mM)');
LEGEND_CONSTANTS(:,75) = strpad('VmPYK in component vPYK (mM_per_min)');
LEGEND_CONSTANTS(:,76) = strpad('KmPYKPEP in component vPYK (mM)');
LEGEND_CONSTANTS(:,77) = strpad('KmPYKADP in component vPYK (mM)');
LEGEND_CONSTANTS(:,78) = strpad('KeqAK in component vPYK (dimensionless)');
LEGEND_CONSTANTS(:,79) = strpad('KeqPYK in component vPYK (dimensionless)');
LEGEND_CONSTANTS(:,80) = strpad('KmPYKPYR in component vPYK (mM)');
LEGEND_CONSTANTS(:,81) = strpad('KmPYKATP in component vPYK (mM)');
LEGEND_CONSTANTS(:,82) = strpad('VmPDC in component vPDC (mM_per_min)');
LEGEND_CONSTANTS(:,83) = strpad('nPDC in component vPDC (dimensionless)');
LEGEND_CONSTANTS(:,84) = strpad('KmPDCPYR in component vPDC (mM)');
LEGEND_CONSTANTS(:,85) = strpad('KSUCC in component vSUC (per_min)');
LEGEND_CONSTANTS(:,86) = strpad('VmADH in component vADH (mM_per_min)');
LEGEND_CONSTANTS(:,87) = strpad('KiADHNAD in component vADH (mM)');
LEGEND_CONSTANTS(:,88) = strpad('KmADHETOH in component vADH (mM)');
LEGEND_CONSTANTS(:,89) = strpad('KeqADH in component vADH (dimensionless)');
LEGEND_CONSTANTS(:,90) = strpad('KmADHNAD in component vADH (mM)');
LEGEND_CONSTANTS(:,91) = strpad('KmADHNADH in component vADH (mM)');
LEGEND_CONSTANTS(:,92) = strpad('KiADHNADH in component vADH (mM)');
LEGEND_CONSTANTS(:,93) = strpad('KmADHACE in component vADH (mM)');
LEGEND_CONSTANTS(:,94) = strpad('KiADHACE in component vADH (mM)');
LEGEND_CONSTANTS(:,95) = strpad('KiADHETOH in component vADH (mM)');
LEGEND_CONSTANTS(:,96) = strpad('KATPASE in component vATP (per_min)');
LEGEND_CONSTANTS(:,97) = strpad('KeqAK in component vATP (dimensionless)');
LEGEND_CONSTANTS(:,98) = strpad('KmGA3P in component vTPI (mM)');
LEGEND_CONSTANTS(:,99) = strpad('KmDHAP in component vTPI (mM)');
LEGEND_CONSTANTS(:,100) = strpad('VmDHAP in component vTPI (mM_per_min)');
LEGEND_CONSTANTS(:,101) = strpad('VmGA3P in component vTPI (mM_per_min)');
LEGEND_CONSTANTS(:,102) = strpad('VmG6PDH in component vG6PDH (mM_per_min)');
LEGEND_CONSTANTS(:,103) = strpad('KmG6P in component vG6PDH (mM)');
LEGEND_CONSTANTS(:,104) = strpad('KmNADP in component vG6PDH (mM)');
LEGEND_CONSTANTS(:,105) = strpad('KiNADPH in component vG6PDH (mM)');
LEGEND_CONSTANTS(:,106) = strpad('Vm6PGL in component v6PGL (mM_per_min)');
LEGEND_CONSTANTS(:,107) = strpad('Km6PGL in component v6PGL (mM)');
LEGEND_CONSTANTS(:,108) = strpad('VmGluDH in component vGluDH (mM_per_min)');
LEGEND_CONSTANTS(:,109) = strpad('KmGluconate in component vGluDH (mM)');
LEGEND_CONSTANTS(:,110) = strpad('KmNADP in component vGluDH (mM)');
LEGEND_CONSTANTS(:,111) = strpad('KiNADPH in component vGluDH (mM)');
LEGEND_CONSTANTS(:,112) = strpad('VmPPIf in component vPPI (mM_per_min)');
LEGEND_CONSTANTS(:,113) = strpad('VmPPIr in component vPPI (mM_per_min)');
LEGEND_CONSTANTS(:,114) = strpad('KmRibu5P in component vPPI (mM)');
LEGEND_CONSTANTS(:,115) = strpad('KmRibo5P in component vPPI (mM)');
LEGEND_CONSTANTS(:,116) = strpad('VmTransk1f in component vTransk1 (mM_per_min)');
LEGEND_CONSTANTS(:,117) = strpad('VmTransk1r in component vTransk1 (mM_per_min)');
LEGEND_CONSTANTS(:,118) = strpad('KmRibose5P in component vTransk1 (mM)');
LEGEND_CONSTANTS(:,119) = strpad('KmXyl5P in component vTransk1 (mM)');
LEGEND_CONSTANTS(:,120) = strpad('KmGA3P in component vTransk1 (mM)');
LEGEND_CONSTANTS(:,121) = strpad('KmSeduhept in component vTransk1 (mM)');
LEGEND_CONSTANTS(:,122) = strpad('VmR5PIf in component vR5PI (mM_per_min)');
LEGEND_CONSTANTS(:,123) = strpad('VmR5PIr in component vR5PI (mM_per_min)');
LEGEND_CONSTANTS(:,124) = strpad('KmRibu5P in component vR5PI (mM)');
LEGEND_CONSTANTS(:,125) = strpad('KmXyl in component vR5PI (mM)');
LEGEND_CONSTANTS(:,126) = strpad('VmTransaldf in component vTransald (mM_per_min)');
LEGEND_CONSTANTS(:,127) = strpad('VmTransaldr in component vTransald (mM_per_min)');
LEGEND_CONSTANTS(:,128) = strpad('KmGA3P in component vTransald (mM)');
LEGEND_CONSTANTS(:,129) = strpad('KmSeduhept in component vTransald (mM)');
LEGEND_CONSTANTS(:,130) = strpad('KmF6P in component vTransald (mM)');
LEGEND_CONSTANTS(:,131) = strpad('KmEry4P in component vTransald (mM)');
LEGEND_CONSTANTS(:,132) = strpad('VmTransk2f in component vTransk2 (mM_per_min)');
LEGEND_CONSTANTS(:,133) = strpad('VmTransk2r in component vTransk2 (mM_per_min)');
LEGEND_CONSTANTS(:,134) = strpad('KmXyl5P in component vTransk2 (mM)');
LEGEND_CONSTANTS(:,135) = strpad('KmEry4P in component vTransk2 (mM)');
LEGEND_CONSTANTS(:,136) = strpad('KmF6P in component vTransk2 (mM)');
LEGEND_CONSTANTS(:,137) = strpad('KmGA3P in component vTransk2 (mM)');
LEGEND_CONSTANTS(:,138) = strpad('kNADPH in component vNADPH (per_min)');
LEGEND_CONSTANTS(:,139) = strpad('VmGLT in component vGLT (mM_per_min)');
LEGEND_CONSTANTS(:,140) = strpad('KeqGLT in component vGLT (dimensionless)');
LEGEND_CONSTANTS(:,141) = strpad('KmGLTGLCo in component vGLT (mM)');
LEGEND_CONSTANTS(:,142) = strpad('KmGLTGLCi in component vGLT (mM)');
LEGEND_RATES(:,1) = strpad('d/dt P in component cytoplasm (mM)');
LEGEND_RATES(:,2) = strpad('d/dt G6P in component cytoplasm (mM)');
LEGEND_RATES(:,3) = strpad('d/dt F6P in component cytoplasm (mM)');
LEGEND_RATES(:,4) = strpad('d/dt F16P in component cytoplasm (mM)');
LEGEND_RATES(:,5) = strpad('d/dt NADH in component cytoplasm (mM)');
LEGEND_RATES(:,6) = strpad('d/dt NAD in component cytoplasm (mM)');
LEGEND_RATES(:,7) = strpad('d/dt BPG in component cytoplasm (mM)');
LEGEND_RATES(:,8) = strpad('d/dt P3G in component cytoplasm (mM)');
LEGEND_RATES(:,9) = strpad('d/dt P2G in component cytoplasm (mM)');
LEGEND_RATES(:,10) = strpad('d/dt PEP in component cytoplasm (mM)');
LEGEND_RATES(:,11) = strpad('d/dt PYR in component cytoplasm (mM)');
LEGEND_RATES(:,12) = strpad('d/dt ACE in component cytoplasm (mM)');
LEGEND_RATES(:,13) = strpad('d/dt GA3P in component cytoplasm (mM)');
LEGEND_RATES(:,14) = strpad('d/dt DHAP in component cytoplasm (mM)');
LEGEND_RATES(:,15) = strpad('d/dt D6PGluconoLactone in component cytoplasm (mM)');
LEGEND_RATES(:,16) = strpad('d/dt D6PGluconate in component cytoplasm (mM)');
LEGEND_RATES(:,17) = strpad('d/dt NADP in component cytoplasm (mM)');
LEGEND_RATES(:,18) = strpad('d/dt NADPH in component cytoplasm (mM)');
LEGEND_RATES(:,19) = strpad('d/dt Ribulose5P in component cytoplasm (mM)');
LEGEND_RATES(:,20) = strpad('d/dt Ribose5P in component cytoplasm (mM)');
LEGEND_RATES(:,21) = strpad('d/dt Xyl5P in component cytoplasm (mM)');
LEGEND_RATES(:,22) = strpad('d/dt Seduhept7P in component cytoplasm (mM)');
LEGEND_RATES(:,23) = strpad('d/dt Erythrose4P in component cytoplasm (mM)');
LEGEND_RATES(:,24) = strpad('d/dt GLCi in component cytoplasm (mM)');
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 = [];
CONSTANTS(:,1) = 1;
CONSTANTS(:,2) = 1;
CONSTANTS(:,3) = 4.1;
CONSTANTS(:,4) = 1;
CONSTANTS(:,5) = 50;
CONSTANTS(:,6) = 0.1;
CONSTANTS(:,7) = 0.15;
CONSTANTS(:,8) = 50;
CONSTANTS(:,9) = 1;
STATES(:,1) = 5;
STATES(:,2) = 1.39;
STATES(:,3) = 0.28;
STATES(:,4) = 0.1;
STATES(:,5) = 0.39;
STATES(:,6) = 1.2;
STATES(:,7) = 0.1;
STATES(:,8) = 0.1;
STATES(:,9) = 0.1;
STATES(:,10) = 0.1;
STATES(:,11) = 3.36;
STATES(:,12) = 0.04;
CONSTANTS(:,10) = 0.1;
STATES(:,13) = 0.05;
STATES(:,14) = 1;
STATES(:,15) = 0.1;
STATES(:,16) = 0.1;
STATES(:,17) = 0.4;
STATES(:,18) = 1.6;
STATES(:,19) = 0.1;
STATES(:,20) = 0.1;
STATES(:,21) = 0.1;
STATES(:,22) = 0.1;
STATES(:,23) = 0;
STATES(:,24) = 0.087;
CONSTANTS(:,11) = 0.02;
CONSTANTS(:,12) = 226.452;
CONSTANTS(:,13) = 0.45;
CONSTANTS(:,14) = 3800;
CONSTANTS(:,15) = 0.15;
CONSTANTS(:,16) = 0.08;
CONSTANTS(:,17) = 30;
CONSTANTS(:,18) = 0.23;
CONSTANTS(:,19) = 339.677;
CONSTANTS(:,20) = 1.4;
CONSTANTS(:,21) = 0.314;
CONSTANTS(:,22) = 0.3;
CONSTANTS(:,23) = 5.12;
CONSTANTS(:,24) = 182.903;
CONSTANTS(:,25) = 0.45;
CONSTANTS(:,26) = 0.1;
CONSTANTS(:,27) = 0.71;
CONSTANTS(:,28) = 0.66;
CONSTANTS(:,29) = 0.0174;
CONSTANTS(:,30) = 0.000682;
CONSTANTS(:,31) = 0.397;
CONSTANTS(:,32) = 0.111;
CONSTANTS(:,33) = 0.0845;
CONSTANTS(:,34) = 0.0995;
CONSTANTS(:,35) = 100;
CONSTANTS(:,36) = 0.65;
CONSTANTS(:,37) = 3;
CONSTANTS(:,38) = 322.258;
CONSTANTS(:,39) = 0.045;
CONSTANTS(:,40) = 0.069;
CONSTANTS(:,41) = 0.3;
CONSTANTS(:,42) = 2.4;
CONSTANTS(:,43) = 2;
CONSTANTS(:,44) = 10;
CONSTANTS(:,45) = 70.15;
CONSTANTS(:,46) = 4300;
CONSTANTS(:,47) = 0.045;
CONSTANTS(:,48) = 0.4;
CONSTANTS(:,49) = 0.023;
CONSTANTS(:,50) = 0.93;
CONSTANTS(:,51) = 1;
CONSTANTS(:,52) = 6549.68;
CONSTANTS(:,53) = 0.0098;
CONSTANTS(:,54) = 0.06;
CONSTANTS(:,55) = 0.045;
CONSTANTS(:,56) = 1184.52;
CONSTANTS(:,57) = 0.21;
CONSTANTS(:,58) = 0.09;
CONSTANTS(:,59) = 0.005;
CONSTANTS(:,60) = 1306.45;
CONSTANTS(:,61) = 3200;
CONSTANTS(:,62) = 0.45;
CONSTANTS(:,63) = 0.3;
CONSTANTS(:,64) = 0.53;
CONSTANTS(:,65) = 0.2;
CONSTANTS(:,66) = 0.003;
CONSTANTS(:,67) = 2525.81;
CONSTANTS(:,68) = 1.2;
CONSTANTS(:,69) = 0.19;
CONSTANTS(:,70) = 0.08;
CONSTANTS(:,71) = 365.806;
CONSTANTS(:,72) = 0.04;
CONSTANTS(:,73) = 6.7;
CONSTANTS(:,74) = 0.5;
CONSTANTS(:,75) = 1088.71;
CONSTANTS(:,76) = 0.14;
CONSTANTS(:,77) = 0.53;
CONSTANTS(:,78) = 0.45;
CONSTANTS(:,79) = 6500;
CONSTANTS(:,80) = 21;
CONSTANTS(:,81) = 1.5;
CONSTANTS(:,82) = 174.194;
CONSTANTS(:,83) = 1.9;
CONSTANTS(:,84) = 4.33;
CONSTANTS(:,85) = 21.4;
CONSTANTS(:,86) = 810;
CONSTANTS(:,87) = 0.92;
CONSTANTS(:,88) = 17;
CONSTANTS(:,89) = 6.9e-5;
CONSTANTS(:,90) = 0.17;
CONSTANTS(:,91) = 0.11;
CONSTANTS(:,92) = 0.031;
CONSTANTS(:,93) = 1.11;
CONSTANTS(:,94) = 1.1;
CONSTANTS(:,95) = 90;
CONSTANTS(:,96) = 39.5;
CONSTANTS(:,97) = 0.45;
CONSTANTS(:,98) = 1.27;
CONSTANTS(:,99) = 1.23;
CONSTANTS(:,100) = 10900;
CONSTANTS(:,101) = 555;
CONSTANTS(:,102) = 4;
CONSTANTS(:,103) = 0.04;
CONSTANTS(:,104) = 0.02;
CONSTANTS(:,105) = 0.017;
CONSTANTS(:,106) = 4;
CONSTANTS(:,107) = 0.8;
CONSTANTS(:,108) = 4;
CONSTANTS(:,109) = 0.02;
CONSTANTS(:,110) = 0.03;
CONSTANTS(:,111) = 0.03;
CONSTANTS(:,112) = 3458;
CONSTANTS(:,113) = 3458;
CONSTANTS(:,114) = 1.6;
CONSTANTS(:,115) = 1.6;
CONSTANTS(:,116) = 4;
CONSTANTS(:,117) = 2;
CONSTANTS(:,118) = 0.1;
CONSTANTS(:,119) = 0.15;
CONSTANTS(:,120) = 0.1;
CONSTANTS(:,121) = 0.15;
CONSTANTS(:,122) = 1039;
CONSTANTS(:,123) = 1039;
CONSTANTS(:,124) = 1.5;
CONSTANTS(:,125) = 1.5;
CONSTANTS(:,126) = 55;
CONSTANTS(:,127) = 10;
CONSTANTS(:,128) = 0.22;
CONSTANTS(:,129) = 0.18;
CONSTANTS(:,130) = 0.32;
CONSTANTS(:,131) = 0.018;
CONSTANTS(:,132) = 3.2;
CONSTANTS(:,133) = 43;
CONSTANTS(:,134) = 0.16;
CONSTANTS(:,135) = 0.09;
CONSTANTS(:,136) = 1.1;
CONSTANTS(:,137) = 2.1;
CONSTANTS(:,138) = 2;
CONSTANTS(:,139) = 97.264;
CONSTANTS(:,140) = 1;
CONSTANTS(:,141) = 1.1918;
CONSTANTS(:,142) = 1.1918;
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(:,1) = ( CONSTANTS(:,9).*CONSTANTS(:,12).*(( - STATES(:,2).*(CONSTANTS(:,3) - power((((power(CONSTANTS(:,3), 2.00000) - 2.00000.*CONSTANTS(:,3).*STATES(:,1))+ 8.00000.*CONSTANTS(:,13).*CONSTANTS(:,3).*STATES(:,1)+power(STATES(:,1), 2.00000)) - 4.00000.*CONSTANTS(:,13).*power(STATES(:,1), 2.00000)), 1.0 ./ 2)))./( (1.00000 - 4.00000.*CONSTANTS(:,13)).*CONSTANTS(:,14))+( STATES(:,24).*((( - CONSTANTS(:,3)+STATES(:,1)) - 4.00000.*CONSTANTS(:,13).*STATES(:,1))+power((((power(CONSTANTS(:,3), 2.00000) - 2.00000.*CONSTANTS(:,3).*STATES(:,1))+ 8.00000.*CONSTANTS(:,13).*CONSTANTS(:,3).*STATES(:,1)+power(STATES(:,1), 2.00000)) - 4.00000.*CONSTANTS(:,13).*power(STATES(:,1), 2.00000)), 1.0 ./ 2)))./(2.00000 - 8.00000.*CONSTANTS(:,13))))./( CONSTANTS(:,15).*CONSTANTS(:,16).*(1.00000+STATES(:,2)./CONSTANTS(:,17)+STATES(:,24)./CONSTANTS(:,16)).*(1.00000+(CONSTANTS(:,3) - power((((power(CONSTANTS(:,3), 2.00000) - 2.00000.*CONSTANTS(:,3).*STATES(:,1))+ 8.00000.*CONSTANTS(:,13).*CONSTANTS(:,3).*STATES(:,1)+power(STATES(:,1), 2.00000)) - 4.00000.*CONSTANTS(:,13).*power(STATES(:,1), 2.00000)), 1.0 ./ 2))./( (1.00000 - 4.00000.*CONSTANTS(:,13)).*CONSTANTS(:,18))+((( - CONSTANTS(:,3)+STATES(:,1)) - 4.00000.*CONSTANTS(:,13).*STATES(:,1))+power((((power(CONSTANTS(:,3), 2.00000) - 2.00000.*CONSTANTS(:,3).*STATES(:,1))+ 8.00000.*CONSTANTS(:,13).*CONSTANTS(:,3).*STATES(:,1)+power(STATES(:,1), 2.00000)) - 4.00000.*CONSTANTS(:,13).*power(STATES(:,1), 2.00000)), 1.0 ./ 2))./( (2.00000 - 8.00000.*CONSTANTS(:,13)).*CONSTANTS(:,15))));
ALGEBRAIC(:,4) = ( CONSTANTS(:,9).*CONSTANTS(:,139).*(CONSTANTS(:,8) - STATES(:,24)./CONSTANTS(:,140)))./( CONSTANTS(:,141).*(1.00000+CONSTANTS(:,8)./CONSTANTS(:,141)+STATES(:,24)./CONSTANTS(:,142)+( 0.910000.*CONSTANTS(:,8).*STATES(:,24))./( CONSTANTS(:,142).*CONSTANTS(:,141))));
RATES(:,24) = (ALGEBRAIC(:,4) - ALGEBRAIC(:,1))./CONSTANTS(:,9);
ALGEBRAIC(:,5) = CONSTANTS(:,9).*CONSTANTS(:,23).*CONSTANTS(:,24).*STATES(:,3).*((( - CONSTANTS(:,3)+STATES(:,1)) - 4.00000.*CONSTANTS(:,25).*STATES(:,1))+power((((power(CONSTANTS(:,3), 2.00000) - 2.00000.*CONSTANTS(:,3).*STATES(:,1))+ 8.00000.*CONSTANTS(:,25).*CONSTANTS(:,3).*STATES(:,1)+power(STATES(:,1), 2.00000)) - 4.00000.*CONSTANTS(:,25).*power(STATES(:,1), 2.00000)), 1.0 ./ 2));
ALGEBRAIC(:,6) = 1.00000+STATES(:,3)./CONSTANTS(:,26)+((( - CONSTANTS(:,3)+STATES(:,1)) - 4.00000.*CONSTANTS(:,25).*STATES(:,1))+power((((power(CONSTANTS(:,3), 2.00000) - 2.00000.*CONSTANTS(:,3).*STATES(:,1))+ 8.00000.*CONSTANTS(:,25).*CONSTANTS(:,3).*STATES(:,1)+power(STATES(:,1), 2.00000)) - 4.00000.*CONSTANTS(:,25).*power(STATES(:,1), 2.00000)), 1.0 ./ 2))./( (2.00000 - 8.00000.*CONSTANTS(:,25)).*CONSTANTS(:,27))+( CONSTANTS(:,23).*STATES(:,3).*((( - CONSTANTS(:,3)+STATES(:,1)) - 4.00000.*CONSTANTS(:,25).*STATES(:,1))+power((((power(CONSTANTS(:,3), 2.00000) - 2.00000.*CONSTANTS(:,3).*STATES(:,1))+ 8.00000.*CONSTANTS(:,25).*CONSTANTS(:,3).*STATES(:,1)+power(STATES(:,1), 2.00000)) - 4.00000.*CONSTANTS(:,25).*power(STATES(:,1), 2.00000)), 1.0 ./ 2)))./( (2.00000 - 8.00000.*CONSTANTS(:,25)).*CONSTANTS(:,27).*CONSTANTS(:,26));
ALGEBRAIC(:,7) = power(1.00000+( CONSTANTS(:,29).*CONSTANTS(:,11))./CONSTANTS(:,30)+( CONSTANTS(:,31).*STATES(:,4))./CONSTANTS(:,32), 2.00000).*power(1.00000+( 2.00000.*CONSTANTS(:,33).*CONSTANTS(:,25).*power(CONSTANTS(:,3) - power((((power(CONSTANTS(:,3), 2.00000) - 2.00000.*CONSTANTS(:,3).*STATES(:,1))+ 8.00000.*CONSTANTS(:,25).*CONSTANTS(:,3).*STATES(:,1)+power(STATES(:,1), 2.00000)) - 4.00000.*CONSTANTS(:,25).*power(STATES(:,1), 2.00000)), 1.0 ./ 2), 2.00000))./( ( - 1.00000+ 4.00000.*CONSTANTS(:,25)).*CONSTANTS(:,34).*(((CONSTANTS(:,3) - STATES(:,1))+ 4.00000.*CONSTANTS(:,25).*STATES(:,1)) - power((((power(CONSTANTS(:,3), 2.00000) - 2.00000.*CONSTANTS(:,3).*STATES(:,1))+ 8.00000.*CONSTANTS(:,25).*CONSTANTS(:,3).*STATES(:,1)+power(STATES(:,1), 2.00000)) - 4.00000.*CONSTANTS(:,25).*power(STATES(:,1), 2.00000)), 1.0 ./ 2))), 2.00000);
ALGEBRAIC(:,8) = power(1.00000+( CONSTANTS(:,35).*((( - CONSTANTS(:,3)+STATES(:,1)) - 4.00000.*CONSTANTS(:,25).*STATES(:,1))+power((((power(CONSTANTS(:,3), 2.00000) - 2.00000.*CONSTANTS(:,3).*STATES(:,1))+ 8.00000.*CONSTANTS(:,25).*CONSTANTS(:,3).*STATES(:,1)+power(STATES(:,1), 2.00000)) - 4.00000.*CONSTANTS(:,25).*power(STATES(:,1), 2.00000)), 1.0 ./ 2)))./( (2.00000 - 8.00000.*CONSTANTS(:,25)).*CONSTANTS(:,36)), 2.00000).*power(1.00000+( CONSTANTS(:,37).*((( - CONSTANTS(:,3)+STATES(:,1)) - 4.00000.*CONSTANTS(:,25).*STATES(:,1))+power((((power(CONSTANTS(:,3), 2.00000) - 2.00000.*CONSTANTS(:,3).*STATES(:,1))+ 8.00000.*CONSTANTS(:,25).*CONSTANTS(:,3).*STATES(:,1)+power(STATES(:,1), 2.00000)) - 4.00000.*CONSTANTS(:,25).*power(STATES(:,1), 2.00000)), 1.0 ./ 2)))./( (2.00000 - 8.00000.*CONSTANTS(:,25)).*CONSTANTS(:,27)), 2.00000);
ALGEBRAIC(:,9) = power(1.00000+CONSTANTS(:,11)./CONSTANTS(:,30)+STATES(:,4)./CONSTANTS(:,32), 2.00000).*power(1.00000+( 2.00000.*CONSTANTS(:,25).*power(CONSTANTS(:,3) - power((((power(CONSTANTS(:,3), 2.00000) - 2.00000.*CONSTANTS(:,3).*STATES(:,1))+ 8.00000.*CONSTANTS(:,25).*CONSTANTS(:,3).*STATES(:,1)+power(STATES(:,1), 2.00000)) - 4.00000.*CONSTANTS(:,25).*power(STATES(:,1), 2.00000)), 1.0 ./ 2), 2.00000))./( ( - 1.00000+ 4.00000.*CONSTANTS(:,25)).*CONSTANTS(:,34).*(((CONSTANTS(:,3) - STATES(:,1))+ 4.00000.*CONSTANTS(:,25).*STATES(:,1)) - power((((power(CONSTANTS(:,3), 2.00000) - 2.00000.*CONSTANTS(:,3).*STATES(:,1))+ 8.00000.*CONSTANTS(:,25).*CONSTANTS(:,3).*STATES(:,1)+power(STATES(:,1), 2.00000)) - 4.00000.*CONSTANTS(:,25).*power(STATES(:,1), 2.00000)), 1.0 ./ 2))), 2.00000).*power(1.00000+((( - CONSTANTS(:,3)+STATES(:,1)) - 4.00000.*CONSTANTS(:,25).*STATES(:,1))+power((((power(CONSTANTS(:,3), 2.00000) - 2.00000.*CONSTANTS(:,3).*STATES(:,1))+ 8.00000.*CONSTANTS(:,25).*CONSTANTS(:,3).*STATES(:,1)+power(STATES(:,1), 2.00000)) - 4.00000.*CONSTANTS(:,25).*power(STATES(:,1), 2.00000)), 1.0 ./ 2))./( (2.00000 - 8.00000.*CONSTANTS(:,25)).*CONSTANTS(:,36)), 2.00000);
ALGEBRAIC(:,10) = (2.00000 - 8.00000.*CONSTANTS(:,25)).*CONSTANTS(:,27).*CONSTANTS(:,26).*(( CONSTANTS(:,28).*ALGEBRAIC(:,7).*ALGEBRAIC(:,8))./ALGEBRAIC(:,9)+power(1.00000+STATES(:,3)./CONSTANTS(:,26)+((( - CONSTANTS(:,3)+STATES(:,1)) - 4.00000.*CONSTANTS(:,25).*STATES(:,1))+power((((power(CONSTANTS(:,3), 2.00000) - 2.00000.*CONSTANTS(:,3).*STATES(:,1))+ 8.00000.*CONSTANTS(:,25).*CONSTANTS(:,3).*STATES(:,1)+power(STATES(:,1), 2.00000)) - 4.00000.*CONSTANTS(:,25).*power(STATES(:,1), 2.00000)), 1.0 ./ 2))./( (2.00000 - 8.00000.*CONSTANTS(:,25)).*CONSTANTS(:,27))+( CONSTANTS(:,23).*STATES(:,3).*((( - CONSTANTS(:,3)+STATES(:,1)) - 4.00000.*CONSTANTS(:,25).*STATES(:,1))+power((((power(CONSTANTS(:,3), 2.00000) - 2.00000.*CONSTANTS(:,3).*STATES(:,1))+ 8.00000.*CONSTANTS(:,25).*CONSTANTS(:,3).*STATES(:,1)+power(STATES(:,1), 2.00000)) - 4.00000.*CONSTANTS(:,25).*power(STATES(:,1), 2.00000)), 1.0 ./ 2)))./( (2.00000 - 8.00000.*CONSTANTS(:,25)).*CONSTANTS(:,27).*CONSTANTS(:,26)), 2.00000));
ALGEBRAIC(:,11) = ( ALGEBRAIC(:,5).*ALGEBRAIC(:,6))./ALGEBRAIC(:,10);
ALGEBRAIC(:,12) = ( (( CONSTANTS(:,9).*CONSTANTS(:,38).*STATES(:,4))./CONSTANTS(:,41)).*(1.00000 - ( STATES(:,14).*STATES(:,13))./( STATES(:,4).*CONSTANTS(:,40))))./(1.00000+STATES(:,4)./CONSTANTS(:,41)+STATES(:,14)./CONSTANTS(:,42)+STATES(:,13)./CONSTANTS(:,43)+( STATES(:,4).*STATES(:,13))./( CONSTANTS(:,41).*CONSTANTS(:,44))+( STATES(:,14).*STATES(:,13))./( CONSTANTS(:,42).*CONSTANTS(:,43)));
RATES(:,4) = (ALGEBRAIC(:,11) - ALGEBRAIC(:,12))./CONSTANTS(:,9);
ALGEBRAIC(:,14) = ( (( CONSTANTS(:,9).*CONSTANTS(:,2).*CONSTANTS(:,56).*STATES(:,13).*STATES(:,6))./( CONSTANTS(:,57).*CONSTANTS(:,58))).*(1.00000 - ( STATES(:,7).*STATES(:,5))./( STATES(:,13).*STATES(:,6).*CONSTANTS(:,59))))./( (1.00000+STATES(:,13)./CONSTANTS(:,57)+STATES(:,7)./CONSTANTS(:,53)).*(1.00000+STATES(:,6)./CONSTANTS(:,58)+STATES(:,5)./CONSTANTS(:,54)));
ALGEBRAIC(:,15) = ( 1.00000.*CONSTANTS(:,9).*CONSTANTS(:,60).*(( CONSTANTS(:,61).*STATES(:,7).*(CONSTANTS(:,3) - power((((power(CONSTANTS(:,3), 2.00000) - 2.00000.*CONSTANTS(:,3).*STATES(:,1))+ 8.00000.*CONSTANTS(:,62).*CONSTANTS(:,3).*STATES(:,1)+power(STATES(:,1), 2.00000)) - 4.00000.*CONSTANTS(:,62).*power(STATES(:,1), 2.00000)), 1.0 ./ 2)))./(1.00000 - 4.00000.*CONSTANTS(:,62)) - ( ((( - CONSTANTS(:,3)+STATES(:,1)) - 4.00000.*CONSTANTS(:,62).*STATES(:,1))+power((((power(CONSTANTS(:,3), 2.00000) - 2.00000.*CONSTANTS(:,3).*STATES(:,1))+ 8.00000.*CONSTANTS(:,62).*CONSTANTS(:,3).*STATES(:,1)+power(STATES(:,1), 2.00000)) - 4.00000.*CONSTANTS(:,62).*power(STATES(:,1), 2.00000)), 1.0 ./ 2)).*STATES(:,8))./(2.00000 - 8.00000.*CONSTANTS(:,62))))./( CONSTANTS(:,63).*CONSTANTS(:,64).*(1.00000+(CONSTANTS(:,3) - power((((power(CONSTANTS(:,3), 2.00000) - 2.00000.*CONSTANTS(:,3).*STATES(:,1))+ 8.00000.*CONSTANTS(:,62).*CONSTANTS(:,3).*STATES(:,1)+power(STATES(:,1), 2.00000)) - 4.00000.*CONSTANTS(:,62).*power(STATES(:,1), 2.00000)), 1.0 ./ 2))./( (1.00000 - 4.00000.*CONSTANTS(:,62)).*CONSTANTS(:,65))+((( - CONSTANTS(:,3)+STATES(:,1)) - 4.00000.*CONSTANTS(:,62).*STATES(:,1))+power((((power(CONSTANTS(:,3), 2.00000) - 2.00000.*CONSTANTS(:,3).*STATES(:,1))+ 8.00000.*CONSTANTS(:,62).*CONSTANTS(:,3).*STATES(:,1)+power(STATES(:,1), 2.00000)) - 4.00000.*CONSTANTS(:,62).*power(STATES(:,1), 2.00000)), 1.0 ./ 2))./( (2.00000 - 8.00000.*CONSTANTS(:,62)).*CONSTANTS(:,63))).*(1.00000+STATES(:,7)./CONSTANTS(:,66)+STATES(:,8)./CONSTANTS(:,64)));
RATES(:,7) = (ALGEBRAIC(:,14) - ALGEBRAIC(:,15))./CONSTANTS(:,9);
ALGEBRAIC(:,13) = ( CONSTANTS(:,9).*CONSTANTS(:,45).*(( - CONSTANTS(:,7).*STATES(:,6))./CONSTANTS(:,46)+( STATES(:,5).*STATES(:,14))./(1.00000+CONSTANTS(:,47))))./( CONSTANTS(:,48).*CONSTANTS(:,49).*(1.00000+STATES(:,6)./CONSTANTS(:,50)+STATES(:,5)./CONSTANTS(:,49)).*(1.00000+CONSTANTS(:,7)./CONSTANTS(:,51)+STATES(:,14)./( (1.00000+CONSTANTS(:,47)).*CONSTANTS(:,48))));
ALGEBRAIC(:,16) = ( CONSTANTS(:,9).*CONSTANTS(:,1).*(( CONSTANTS(:,100).*STATES(:,13))./CONSTANTS(:,98) - ( CONSTANTS(:,101).*STATES(:,14))./CONSTANTS(:,99)))./(1.00000+STATES(:,13)./CONSTANTS(:,98)+STATES(:,14)./CONSTANTS(:,99));
RATES(:,14) = ((ALGEBRAIC(:,12) - ALGEBRAIC(:,13))+ALGEBRAIC(:,16))./CONSTANTS(:,9);
ALGEBRAIC(:,3) = ( (( CONSTANTS(:,9).*CONSTANTS(:,19))./CONSTANTS(:,20)).*(STATES(:,2) - STATES(:,3)./CONSTANTS(:,21)))./(1.00000+STATES(:,2)./CONSTANTS(:,20)+STATES(:,3)./CONSTANTS(:,22));
ALGEBRAIC(:,18) = (( CONSTANTS(:,9).*CONSTANTS(:,102).*STATES(:,2).*STATES(:,17))./( CONSTANTS(:,103).*CONSTANTS(:,104)))./( (1.00000+STATES(:,2)./CONSTANTS(:,103)+STATES(:,18)./CONSTANTS(:,105)).*(1.00000+STATES(:,17)./CONSTANTS(:,104)));
RATES(:,2) = ((ALGEBRAIC(:,1) - ALGEBRAIC(:,3)) - ALGEBRAIC(:,18))./CONSTANTS(:,9);
ALGEBRAIC(:,17) = ( (( CONSTANTS(:,9).*CONSTANTS(:,67))./CONSTANTS(:,68)).*(STATES(:,8) - STATES(:,9)./CONSTANTS(:,69)))./(1.00000+STATES(:,8)./CONSTANTS(:,68)+STATES(:,9)./CONSTANTS(:,70));
RATES(:,8) = (ALGEBRAIC(:,15) - ALGEBRAIC(:,17))./CONSTANTS(:,9);
ALGEBRAIC(:,19) = ( (( CONSTANTS(:,9).*CONSTANTS(:,71))./CONSTANTS(:,72)).*(STATES(:,9) - STATES(:,10)./CONSTANTS(:,73)))./(1.00000+STATES(:,9)./CONSTANTS(:,72)+STATES(:,10)./CONSTANTS(:,74));
RATES(:,9) = (ALGEBRAIC(:,17) - ALGEBRAIC(:,19))./CONSTANTS(:,9);
ALGEBRAIC(:,20) = ( CONSTANTS(:,9).*CONSTANTS(:,106).*STATES(:,15))./(CONSTANTS(:,107)+STATES(:,15));
RATES(:,15) = (ALGEBRAIC(:,18) - ALGEBRAIC(:,20))./CONSTANTS(:,9);
ALGEBRAIC(:,21) = ( (( CONSTANTS(:,9).*CONSTANTS(:,75))./( CONSTANTS(:,76).*CONSTANTS(:,77))).*(( STATES(:,10).*(CONSTANTS(:,3) - power((((power(STATES(:,1), 2.00000) - 4.00000.*CONSTANTS(:,78).*power(STATES(:,1), 2.00000)) - 2.00000.*STATES(:,1).*CONSTANTS(:,3))+ 8.00000.*CONSTANTS(:,78).*STATES(:,1).*CONSTANTS(:,3)+power(CONSTANTS(:,3), 2.00000)), 1.0 ./ 2)))./(1.00000 - 4.00000.*CONSTANTS(:,78)) - (( STATES(:,11).*(((STATES(:,1) - 4.00000.*CONSTANTS(:,78).*STATES(:,1)) - CONSTANTS(:,3))+power((((power(STATES(:,1), 2.00000) - 4.00000.*CONSTANTS(:,78).*power(STATES(:,1), 2.00000)) - 2.00000.*STATES(:,1).*CONSTANTS(:,3))+ 8.00000.*CONSTANTS(:,78).*STATES(:,1).*CONSTANTS(:,3)+power(CONSTANTS(:,3), 2.00000)), 1.0 ./ 2)))./(2.00000 - 8.00000.*CONSTANTS(:,78)))./CONSTANTS(:,79)))./( (1.00000+STATES(:,10)./CONSTANTS(:,76)+STATES(:,11)./CONSTANTS(:,80)).*(1.00000+((((STATES(:,1) - 4.00000.*CONSTANTS(:,78).*STATES(:,1)) - CONSTANTS(:,3))+power((((power(STATES(:,1), 2.00000) - 4.00000.*CONSTANTS(:,78).*power(STATES(:,1), 2.00000)) - 2.00000.*STATES(:,1).*CONSTANTS(:,3))+ 8.00000.*CONSTANTS(:,78).*STATES(:,1).*CONSTANTS(:,3)+power(CONSTANTS(:,3), 2.00000)), 1.0 ./ 2))./(2.00000 - 8.00000.*CONSTANTS(:,78)))./CONSTANTS(:,81)+((CONSTANTS(:,3) - power((((power(STATES(:,1), 2.00000) - 4.00000.*CONSTANTS(:,78).*power(STATES(:,1), 2.00000)) - 2.00000.*STATES(:,1).*CONSTANTS(:,3))+ 8.00000.*CONSTANTS(:,78).*STATES(:,1).*CONSTANTS(:,3)+power(CONSTANTS(:,3), 2.00000)), 1.0 ./ 2))./(1.00000 - 4.00000.*CONSTANTS(:,78)))./CONSTANTS(:,77)));
RATES(:,10) = (ALGEBRAIC(:,19) - ALGEBRAIC(:,21))./CONSTANTS(:,9);
ALGEBRAIC(:,22) = (( CONSTANTS(:,9).*CONSTANTS(:,108).*STATES(:,16).*STATES(:,17))./( CONSTANTS(:,109).*CONSTANTS(:,110)))./( (1.00000+STATES(:,16)./CONSTANTS(:,109)+STATES(:,18)./CONSTANTS(:,111)).*(1.00000+STATES(:,17)./CONSTANTS(:,110)));
RATES(:,16) = (ALGEBRAIC(:,20) - ALGEBRAIC(:,22))./CONSTANTS(:,9);
ALGEBRAIC(:,24) = ( CONSTANTS(:,9).*CONSTANTS(:,96).*(((STATES(:,1) - 4.00000.*CONSTANTS(:,97).*STATES(:,1)) - CONSTANTS(:,3))+power((((power(STATES(:,1), 2.00000) - 4.00000.*CONSTANTS(:,97).*power(STATES(:,1), 2.00000)) - 2.00000.*STATES(:,1).*CONSTANTS(:,3))+ 8.00000.*CONSTANTS(:,97).*STATES(:,1).*CONSTANTS(:,3)+power(CONSTANTS(:,3), 2.00000)), 1.0 ./ 2)))./(2.00000 - 8.00000.*CONSTANTS(:,97));
RATES(:,1) = (((ALGEBRAIC(:,15) - (ALGEBRAIC(:,1)+ALGEBRAIC(:,11)))+ALGEBRAIC(:,21)) - ALGEBRAIC(:,24))./CONSTANTS(:,9);
ALGEBRAIC(:,23) = (( CONSTANTS(:,9).*CONSTANTS(:,82).*power(STATES(:,11), CONSTANTS(:,83)))./power(CONSTANTS(:,84), CONSTANTS(:,83)))./(1.00000+power(STATES(:,11), CONSTANTS(:,83))./power(CONSTANTS(:,84), CONSTANTS(:,83)));
RATES(:,11) = (ALGEBRAIC(:,21) - ALGEBRAIC(:,23))./CONSTANTS(:,9);
ALGEBRAIC(:,26) = CONSTANTS(:,9).*CONSTANTS(:,138).*STATES(:,18);
RATES(:,17) = (ALGEBRAIC(:,26) - (ALGEBRAIC(:,18)+ALGEBRAIC(:,22)))./CONSTANTS(:,9);
RATES(:,18) = ((ALGEBRAIC(:,18)+ALGEBRAIC(:,22)) - ALGEBRAIC(:,26))./CONSTANTS(:,9);
ALGEBRAIC(:,25) = ( CONSTANTS(:,9).*(( CONSTANTS(:,112).*STATES(:,19))./CONSTANTS(:,114) - ( CONSTANTS(:,113).*STATES(:,20))./CONSTANTS(:,115)))./(1.00000+STATES(:,19)./CONSTANTS(:,114)+STATES(:,20)./CONSTANTS(:,115));
ALGEBRAIC(:,28) = ( CONSTANTS(:,9).*(( CONSTANTS(:,116).*STATES(:,20).*STATES(:,21))./( CONSTANTS(:,118).*CONSTANTS(:,119)) - ( CONSTANTS(:,117).*STATES(:,13).*STATES(:,22))./( CONSTANTS(:,120).*CONSTANTS(:,121))))./( (1.00000+STATES(:,20)./CONSTANTS(:,118)+STATES(:,13)./CONSTANTS(:,120)).*(1.00000+STATES(:,21)./CONSTANTS(:,119)+STATES(:,22)./CONSTANTS(:,121)));
RATES(:,20) = (ALGEBRAIC(:,25) - ALGEBRAIC(:,28))./CONSTANTS(:,9);
ALGEBRAIC(:,27) = CONSTANTS(:,9).*CONSTANTS(:,85).*STATES(:,12);
ALGEBRAIC(:,29) = ( (( CONSTANTS(:,9).* - CONSTANTS(:,86))./( CONSTANTS(:,87).*CONSTANTS(:,88))).*( STATES(:,6).*CONSTANTS(:,5) - ( STATES(:,5).*STATES(:,12))./CONSTANTS(:,89)))./(1.00000+STATES(:,6)./CONSTANTS(:,87)+( CONSTANTS(:,90).*CONSTANTS(:,5))./( CONSTANTS(:,87).*CONSTANTS(:,88))+( CONSTANTS(:,91).*STATES(:,12))./( CONSTANTS(:,92).*CONSTANTS(:,93))+STATES(:,5)./CONSTANTS(:,92)+( STATES(:,6).*CONSTANTS(:,5))./( CONSTANTS(:,87).*CONSTANTS(:,88))+( CONSTANTS(:,91).*STATES(:,6).*STATES(:,12))./( CONSTANTS(:,87).*CONSTANTS(:,92).*CONSTANTS(:,93))+( CONSTANTS(:,90).*CONSTANTS(:,5).*STATES(:,5))./( CONSTANTS(:,87).*CONSTANTS(:,88).*CONSTANTS(:,92))+( STATES(:,5).*STATES(:,12))./( CONSTANTS(:,92).*CONSTANTS(:,93))+( STATES(:,6).*CONSTANTS(:,5).*STATES(:,12))./( CONSTANTS(:,87).*CONSTANTS(:,88).*CONSTANTS(:,94))+( CONSTANTS(:,5).*STATES(:,5).*STATES(:,12))./( CONSTANTS(:,95).*CONSTANTS(:,92).*CONSTANTS(:,93)));
RATES(:,5) = (((ALGEBRAIC(:,14) - ALGEBRAIC(:,13))+ 3.00000.*ALGEBRAIC(:,27)) - ALGEBRAIC(:,29))./CONSTANTS(:,9);
RATES(:,6) = (((ALGEBRAIC(:,13) - ALGEBRAIC(:,14)) - 3.00000.*ALGEBRAIC(:,27))+ALGEBRAIC(:,29))./CONSTANTS(:,9);
RATES(:,12) = ((ALGEBRAIC(:,23) - 2.00000.*ALGEBRAIC(:,27)) - ALGEBRAIC(:,29))./CONSTANTS(:,9);
ALGEBRAIC(:,30) = ( CONSTANTS(:,9).*(( CONSTANTS(:,122).*STATES(:,19))./CONSTANTS(:,124) - ( CONSTANTS(:,123).*STATES(:,21))./CONSTANTS(:,125)))./(1.00000+STATES(:,19)./CONSTANTS(:,124)+STATES(:,21)./CONSTANTS(:,125));
RATES(:,19) = ((ALGEBRAIC(:,22) - ALGEBRAIC(:,25)) - ALGEBRAIC(:,30))./CONSTANTS(:,9);
ALGEBRAIC(:,31) = ( CONSTANTS(:,9).*(( CONSTANTS(:,126).*STATES(:,13).*STATES(:,22))./( CONSTANTS(:,128).*CONSTANTS(:,129)) - ( CONSTANTS(:,127).*STATES(:,3).*STATES(:,23))./( CONSTANTS(:,130).*CONSTANTS(:,131))))./( (1.00000+STATES(:,13)./CONSTANTS(:,128)+STATES(:,3)./CONSTANTS(:,130)).*(1.00000+STATES(:,22)./CONSTANTS(:,129)+STATES(:,23)./CONSTANTS(:,131)));
RATES(:,22) = (ALGEBRAIC(:,28) - ALGEBRAIC(:,31))./CONSTANTS(:,9);
ALGEBRAIC(:,32) = ( CONSTANTS(:,9).*(( CONSTANTS(:,132).*STATES(:,23).*STATES(:,21))./( CONSTANTS(:,135).*CONSTANTS(:,134)) - ( CONSTANTS(:,133).*STATES(:,3).*STATES(:,13))./( CONSTANTS(:,136).*CONSTANTS(:,137))))./( (1.00000+STATES(:,21)./CONSTANTS(:,134)+STATES(:,13)./CONSTANTS(:,137)).*(1.00000+STATES(:,23)./CONSTANTS(:,135)+STATES(:,3)./CONSTANTS(:,136)));
RATES(:,3) = ((ALGEBRAIC(:,3) - ALGEBRAIC(:,11))+ALGEBRAIC(:,31)+ALGEBRAIC(:,32))./CONSTANTS(:,9);
RATES(:,13) = (((((ALGEBRAIC(:,12) - ALGEBRAIC(:,14)) - ALGEBRAIC(:,16))+ALGEBRAIC(:,28)) - ALGEBRAIC(:,31))+ALGEBRAIC(:,32))./CONSTANTS(:,9);
RATES(:,21) = ((ALGEBRAIC(:,30) - ALGEBRAIC(:,28)) - ALGEBRAIC(:,32))./CONSTANTS(:,9);
RATES(:,23) = (ALGEBRAIC(:,31) - ALGEBRAIC(:,32))./CONSTANTS(:,9);
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(:,1) = ( CONSTANTS(:,9).*CONSTANTS(:,12).*(( - STATES(:,2).*(CONSTANTS(:,3) - power((((power(CONSTANTS(:,3), 2.00000) - 2.00000.*CONSTANTS(:,3).*STATES(:,1))+ 8.00000.*CONSTANTS(:,13).*CONSTANTS(:,3).*STATES(:,1)+power(STATES(:,1), 2.00000)) - 4.00000.*CONSTANTS(:,13).*power(STATES(:,1), 2.00000)), 1.0 ./ 2)))./( (1.00000 - 4.00000.*CONSTANTS(:,13)).*CONSTANTS(:,14))+( STATES(:,24).*((( - CONSTANTS(:,3)+STATES(:,1)) - 4.00000.*CONSTANTS(:,13).*STATES(:,1))+power((((power(CONSTANTS(:,3), 2.00000) - 2.00000.*CONSTANTS(:,3).*STATES(:,1))+ 8.00000.*CONSTANTS(:,13).*CONSTANTS(:,3).*STATES(:,1)+power(STATES(:,1), 2.00000)) - 4.00000.*CONSTANTS(:,13).*power(STATES(:,1), 2.00000)), 1.0 ./ 2)))./(2.00000 - 8.00000.*CONSTANTS(:,13))))./( CONSTANTS(:,15).*CONSTANTS(:,16).*(1.00000+STATES(:,2)./CONSTANTS(:,17)+STATES(:,24)./CONSTANTS(:,16)).*(1.00000+(CONSTANTS(:,3) - power((((power(CONSTANTS(:,3), 2.00000) - 2.00000.*CONSTANTS(:,3).*STATES(:,1))+ 8.00000.*CONSTANTS(:,13).*CONSTANTS(:,3).*STATES(:,1)+power(STATES(:,1), 2.00000)) - 4.00000.*CONSTANTS(:,13).*power(STATES(:,1), 2.00000)), 1.0 ./ 2))./( (1.00000 - 4.00000.*CONSTANTS(:,13)).*CONSTANTS(:,18))+((( - CONSTANTS(:,3)+STATES(:,1)) - 4.00000.*CONSTANTS(:,13).*STATES(:,1))+power((((power(CONSTANTS(:,3), 2.00000) - 2.00000.*CONSTANTS(:,3).*STATES(:,1))+ 8.00000.*CONSTANTS(:,13).*CONSTANTS(:,3).*STATES(:,1)+power(STATES(:,1), 2.00000)) - 4.00000.*CONSTANTS(:,13).*power(STATES(:,1), 2.00000)), 1.0 ./ 2))./( (2.00000 - 8.00000.*CONSTANTS(:,13)).*CONSTANTS(:,15))));
ALGEBRAIC(:,4) = ( CONSTANTS(:,9).*CONSTANTS(:,139).*(CONSTANTS(:,8) - STATES(:,24)./CONSTANTS(:,140)))./( CONSTANTS(:,141).*(1.00000+CONSTANTS(:,8)./CONSTANTS(:,141)+STATES(:,24)./CONSTANTS(:,142)+( 0.910000.*CONSTANTS(:,8).*STATES(:,24))./( CONSTANTS(:,142).*CONSTANTS(:,141))));
ALGEBRAIC(:,5) = CONSTANTS(:,9).*CONSTANTS(:,23).*CONSTANTS(:,24).*STATES(:,3).*((( - CONSTANTS(:,3)+STATES(:,1)) - 4.00000.*CONSTANTS(:,25).*STATES(:,1))+power((((power(CONSTANTS(:,3), 2.00000) - 2.00000.*CONSTANTS(:,3).*STATES(:,1))+ 8.00000.*CONSTANTS(:,25).*CONSTANTS(:,3).*STATES(:,1)+power(STATES(:,1), 2.00000)) - 4.00000.*CONSTANTS(:,25).*power(STATES(:,1), 2.00000)), 1.0 ./ 2));
ALGEBRAIC(:,6) = 1.00000+STATES(:,3)./CONSTANTS(:,26)+((( - CONSTANTS(:,3)+STATES(:,1)) - 4.00000.*CONSTANTS(:,25).*STATES(:,1))+power((((power(CONSTANTS(:,3), 2.00000) - 2.00000.*CONSTANTS(:,3).*STATES(:,1))+ 8.00000.*CONSTANTS(:,25).*CONSTANTS(:,3).*STATES(:,1)+power(STATES(:,1), 2.00000)) - 4.00000.*CONSTANTS(:,25).*power(STATES(:,1), 2.00000)), 1.0 ./ 2))./( (2.00000 - 8.00000.*CONSTANTS(:,25)).*CONSTANTS(:,27))+( CONSTANTS(:,23).*STATES(:,3).*((( - CONSTANTS(:,3)+STATES(:,1)) - 4.00000.*CONSTANTS(:,25).*STATES(:,1))+power((((power(CONSTANTS(:,3), 2.00000) - 2.00000.*CONSTANTS(:,3).*STATES(:,1))+ 8.00000.*CONSTANTS(:,25).*CONSTANTS(:,3).*STATES(:,1)+power(STATES(:,1), 2.00000)) - 4.00000.*CONSTANTS(:,25).*power(STATES(:,1), 2.00000)), 1.0 ./ 2)))./( (2.00000 - 8.00000.*CONSTANTS(:,25)).*CONSTANTS(:,27).*CONSTANTS(:,26));
ALGEBRAIC(:,7) = power(1.00000+( CONSTANTS(:,29).*CONSTANTS(:,11))./CONSTANTS(:,30)+( CONSTANTS(:,31).*STATES(:,4))./CONSTANTS(:,32), 2.00000).*power(1.00000+( 2.00000.*CONSTANTS(:,33).*CONSTANTS(:,25).*power(CONSTANTS(:,3) - power((((power(CONSTANTS(:,3), 2.00000) - 2.00000.*CONSTANTS(:,3).*STATES(:,1))+ 8.00000.*CONSTANTS(:,25).*CONSTANTS(:,3).*STATES(:,1)+power(STATES(:,1), 2.00000)) - 4.00000.*CONSTANTS(:,25).*power(STATES(:,1), 2.00000)), 1.0 ./ 2), 2.00000))./( ( - 1.00000+ 4.00000.*CONSTANTS(:,25)).*CONSTANTS(:,34).*(((CONSTANTS(:,3) - STATES(:,1))+ 4.00000.*CONSTANTS(:,25).*STATES(:,1)) - power((((power(CONSTANTS(:,3), 2.00000) - 2.00000.*CONSTANTS(:,3).*STATES(:,1))+ 8.00000.*CONSTANTS(:,25).*CONSTANTS(:,3).*STATES(:,1)+power(STATES(:,1), 2.00000)) - 4.00000.*CONSTANTS(:,25).*power(STATES(:,1), 2.00000)), 1.0 ./ 2))), 2.00000);
ALGEBRAIC(:,8) = power(1.00000+( CONSTANTS(:,35).*((( - CONSTANTS(:,3)+STATES(:,1)) - 4.00000.*CONSTANTS(:,25).*STATES(:,1))+power((((power(CONSTANTS(:,3), 2.00000) - 2.00000.*CONSTANTS(:,3).*STATES(:,1))+ 8.00000.*CONSTANTS(:,25).*CONSTANTS(:,3).*STATES(:,1)+power(STATES(:,1), 2.00000)) - 4.00000.*CONSTANTS(:,25).*power(STATES(:,1), 2.00000)), 1.0 ./ 2)))./( (2.00000 - 8.00000.*CONSTANTS(:,25)).*CONSTANTS(:,36)), 2.00000).*power(1.00000+( CONSTANTS(:,37).*((( - CONSTANTS(:,3)+STATES(:,1)) - 4.00000.*CONSTANTS(:,25).*STATES(:,1))+power((((power(CONSTANTS(:,3), 2.00000) - 2.00000.*CONSTANTS(:,3).*STATES(:,1))+ 8.00000.*CONSTANTS(:,25).*CONSTANTS(:,3).*STATES(:,1)+power(STATES(:,1), 2.00000)) - 4.00000.*CONSTANTS(:,25).*power(STATES(:,1), 2.00000)), 1.0 ./ 2)))./( (2.00000 - 8.00000.*CONSTANTS(:,25)).*CONSTANTS(:,27)), 2.00000);
ALGEBRAIC(:,9) = power(1.00000+CONSTANTS(:,11)./CONSTANTS(:,30)+STATES(:,4)./CONSTANTS(:,32), 2.00000).*power(1.00000+( 2.00000.*CONSTANTS(:,25).*power(CONSTANTS(:,3) - power((((power(CONSTANTS(:,3), 2.00000) - 2.00000.*CONSTANTS(:,3).*STATES(:,1))+ 8.00000.*CONSTANTS(:,25).*CONSTANTS(:,3).*STATES(:,1)+power(STATES(:,1), 2.00000)) - 4.00000.*CONSTANTS(:,25).*power(STATES(:,1), 2.00000)), 1.0 ./ 2), 2.00000))./( ( - 1.00000+ 4.00000.*CONSTANTS(:,25)).*CONSTANTS(:,34).*(((CONSTANTS(:,3) - STATES(:,1))+ 4.00000.*CONSTANTS(:,25).*STATES(:,1)) - power((((power(CONSTANTS(:,3), 2.00000) - 2.00000.*CONSTANTS(:,3).*STATES(:,1))+ 8.00000.*CONSTANTS(:,25).*CONSTANTS(:,3).*STATES(:,1)+power(STATES(:,1), 2.00000)) - 4.00000.*CONSTANTS(:,25).*power(STATES(:,1), 2.00000)), 1.0 ./ 2))), 2.00000).*power(1.00000+((( - CONSTANTS(:,3)+STATES(:,1)) - 4.00000.*CONSTANTS(:,25).*STATES(:,1))+power((((power(CONSTANTS(:,3), 2.00000) - 2.00000.*CONSTANTS(:,3).*STATES(:,1))+ 8.00000.*CONSTANTS(:,25).*CONSTANTS(:,3).*STATES(:,1)+power(STATES(:,1), 2.00000)) - 4.00000.*CONSTANTS(:,25).*power(STATES(:,1), 2.00000)), 1.0 ./ 2))./( (2.00000 - 8.00000.*CONSTANTS(:,25)).*CONSTANTS(:,36)), 2.00000);
ALGEBRAIC(:,10) = (2.00000 - 8.00000.*CONSTANTS(:,25)).*CONSTANTS(:,27).*CONSTANTS(:,26).*(( CONSTANTS(:,28).*ALGEBRAIC(:,7).*ALGEBRAIC(:,8))./ALGEBRAIC(:,9)+power(1.00000+STATES(:,3)./CONSTANTS(:,26)+((( - CONSTANTS(:,3)+STATES(:,1)) - 4.00000.*CONSTANTS(:,25).*STATES(:,1))+power((((power(CONSTANTS(:,3), 2.00000) - 2.00000.*CONSTANTS(:,3).*STATES(:,1))+ 8.00000.*CONSTANTS(:,25).*CONSTANTS(:,3).*STATES(:,1)+power(STATES(:,1), 2.00000)) - 4.00000.*CONSTANTS(:,25).*power(STATES(:,1), 2.00000)), 1.0 ./ 2))./( (2.00000 - 8.00000.*CONSTANTS(:,25)).*CONSTANTS(:,27))+( CONSTANTS(:,23).*STATES(:,3).*((( - CONSTANTS(:,3)+STATES(:,1)) - 4.00000.*CONSTANTS(:,25).*STATES(:,1))+power((((power(CONSTANTS(:,3), 2.00000) - 2.00000.*CONSTANTS(:,3).*STATES(:,1))+ 8.00000.*CONSTANTS(:,25).*CONSTANTS(:,3).*STATES(:,1)+power(STATES(:,1), 2.00000)) - 4.00000.*CONSTANTS(:,25).*power(STATES(:,1), 2.00000)), 1.0 ./ 2)))./( (2.00000 - 8.00000.*CONSTANTS(:,25)).*CONSTANTS(:,27).*CONSTANTS(:,26)), 2.00000));
ALGEBRAIC(:,11) = ( ALGEBRAIC(:,5).*ALGEBRAIC(:,6))./ALGEBRAIC(:,10);
ALGEBRAIC(:,12) = ( (( CONSTANTS(:,9).*CONSTANTS(:,38).*STATES(:,4))./CONSTANTS(:,41)).*(1.00000 - ( STATES(:,14).*STATES(:,13))./( STATES(:,4).*CONSTANTS(:,40))))./(1.00000+STATES(:,4)./CONSTANTS(:,41)+STATES(:,14)./CONSTANTS(:,42)+STATES(:,13)./CONSTANTS(:,43)+( STATES(:,4).*STATES(:,13))./( CONSTANTS(:,41).*CONSTANTS(:,44))+( STATES(:,14).*STATES(:,13))./( CONSTANTS(:,42).*CONSTANTS(:,43)));
ALGEBRAIC(:,14) = ( (( CONSTANTS(:,9).*CONSTANTS(:,2).*CONSTANTS(:,56).*STATES(:,13).*STATES(:,6))./( CONSTANTS(:,57).*CONSTANTS(:,58))).*(1.00000 - ( STATES(:,7).*STATES(:,5))./( STATES(:,13).*STATES(:,6).*CONSTANTS(:,59))))./( (1.00000+STATES(:,13)./CONSTANTS(:,57)+STATES(:,7)./CONSTANTS(:,53)).*(1.00000+STATES(:,6)./CONSTANTS(:,58)+STATES(:,5)./CONSTANTS(:,54)));
ALGEBRAIC(:,15) = ( 1.00000.*CONSTANTS(:,9).*CONSTANTS(:,60).*(( CONSTANTS(:,61).*STATES(:,7).*(CONSTANTS(:,3) - power((((power(CONSTANTS(:,3), 2.00000) - 2.00000.*CONSTANTS(:,3).*STATES(:,1))+ 8.00000.*CONSTANTS(:,62).*CONSTANTS(:,3).*STATES(:,1)+power(STATES(:,1), 2.00000)) - 4.00000.*CONSTANTS(:,62).*power(STATES(:,1), 2.00000)), 1.0 ./ 2)))./(1.00000 - 4.00000.*CONSTANTS(:,62)) - ( ((( - CONSTANTS(:,3)+STATES(:,1)) - 4.00000.*CONSTANTS(:,62).*STATES(:,1))+power((((power(CONSTANTS(:,3), 2.00000) - 2.00000.*CONSTANTS(:,3).*STATES(:,1))+ 8.00000.*CONSTANTS(:,62).*CONSTANTS(:,3).*STATES(:,1)+power(STATES(:,1), 2.00000)) - 4.00000.*CONSTANTS(:,62).*power(STATES(:,1), 2.00000)), 1.0 ./ 2)).*STATES(:,8))./(2.00000 - 8.00000.*CONSTANTS(:,62))))./( CONSTANTS(:,63).*CONSTANTS(:,64).*(1.00000+(CONSTANTS(:,3) - power((((power(CONSTANTS(:,3), 2.00000) - 2.00000.*CONSTANTS(:,3).*STATES(:,1))+ 8.00000.*CONSTANTS(:,62).*CONSTANTS(:,3).*STATES(:,1)+power(STATES(:,1), 2.00000)) - 4.00000.*CONSTANTS(:,62).*power(STATES(:,1), 2.00000)), 1.0 ./ 2))./( (1.00000 - 4.00000.*CONSTANTS(:,62)).*CONSTANTS(:,65))+((( - CONSTANTS(:,3)+STATES(:,1)) - 4.00000.*CONSTANTS(:,62).*STATES(:,1))+power((((power(CONSTANTS(:,3), 2.00000) - 2.00000.*CONSTANTS(:,3).*STATES(:,1))+ 8.00000.*CONSTANTS(:,62).*CONSTANTS(:,3).*STATES(:,1)+power(STATES(:,1), 2.00000)) - 4.00000.*CONSTANTS(:,62).*power(STATES(:,1), 2.00000)), 1.0 ./ 2))./( (2.00000 - 8.00000.*CONSTANTS(:,62)).*CONSTANTS(:,63))).*(1.00000+STATES(:,7)./CONSTANTS(:,66)+STATES(:,8)./CONSTANTS(:,64)));
ALGEBRAIC(:,13) = ( CONSTANTS(:,9).*CONSTANTS(:,45).*(( - CONSTANTS(:,7).*STATES(:,6))./CONSTANTS(:,46)+( STATES(:,5).*STATES(:,14))./(1.00000+CONSTANTS(:,47))))./( CONSTANTS(:,48).*CONSTANTS(:,49).*(1.00000+STATES(:,6)./CONSTANTS(:,50)+STATES(:,5)./CONSTANTS(:,49)).*(1.00000+CONSTANTS(:,7)./CONSTANTS(:,51)+STATES(:,14)./( (1.00000+CONSTANTS(:,47)).*CONSTANTS(:,48))));
ALGEBRAIC(:,16) = ( CONSTANTS(:,9).*CONSTANTS(:,1).*(( CONSTANTS(:,100).*STATES(:,13))./CONSTANTS(:,98) - ( CONSTANTS(:,101).*STATES(:,14))./CONSTANTS(:,99)))./(1.00000+STATES(:,13)./CONSTANTS(:,98)+STATES(:,14)./CONSTANTS(:,99));
ALGEBRAIC(:,3) = ( (( CONSTANTS(:,9).*CONSTANTS(:,19))./CONSTANTS(:,20)).*(STATES(:,2) - STATES(:,3)./CONSTANTS(:,21)))./(1.00000+STATES(:,2)./CONSTANTS(:,20)+STATES(:,3)./CONSTANTS(:,22));
ALGEBRAIC(:,18) = (( CONSTANTS(:,9).*CONSTANTS(:,102).*STATES(:,2).*STATES(:,17))./( CONSTANTS(:,103).*CONSTANTS(:,104)))./( (1.00000+STATES(:,2)./CONSTANTS(:,103)+STATES(:,18)./CONSTANTS(:,105)).*(1.00000+STATES(:,17)./CONSTANTS(:,104)));
ALGEBRAIC(:,17) = ( (( CONSTANTS(:,9).*CONSTANTS(:,67))./CONSTANTS(:,68)).*(STATES(:,8) - STATES(:,9)./CONSTANTS(:,69)))./(1.00000+STATES(:,8)./CONSTANTS(:,68)+STATES(:,9)./CONSTANTS(:,70));
ALGEBRAIC(:,19) = ( (( CONSTANTS(:,9).*CONSTANTS(:,71))./CONSTANTS(:,72)).*(STATES(:,9) - STATES(:,10)./CONSTANTS(:,73)))./(1.00000+STATES(:,9)./CONSTANTS(:,72)+STATES(:,10)./CONSTANTS(:,74));
ALGEBRAIC(:,20) = ( CONSTANTS(:,9).*CONSTANTS(:,106).*STATES(:,15))./(CONSTANTS(:,107)+STATES(:,15));
ALGEBRAIC(:,21) = ( (( CONSTANTS(:,9).*CONSTANTS(:,75))./( CONSTANTS(:,76).*CONSTANTS(:,77))).*(( STATES(:,10).*(CONSTANTS(:,3) - power((((power(STATES(:,1), 2.00000) - 4.00000.*CONSTANTS(:,78).*power(STATES(:,1), 2.00000)) - 2.00000.*STATES(:,1).*CONSTANTS(:,3))+ 8.00000.*CONSTANTS(:,78).*STATES(:,1).*CONSTANTS(:,3)+power(CONSTANTS(:,3), 2.00000)), 1.0 ./ 2)))./(1.00000 - 4.00000.*CONSTANTS(:,78)) - (( STATES(:,11).*(((STATES(:,1) - 4.00000.*CONSTANTS(:,78).*STATES(:,1)) - CONSTANTS(:,3))+power((((power(STATES(:,1), 2.00000) - 4.00000.*CONSTANTS(:,78).*power(STATES(:,1), 2.00000)) - 2.00000.*STATES(:,1).*CONSTANTS(:,3))+ 8.00000.*CONSTANTS(:,78).*STATES(:,1).*CONSTANTS(:,3)+power(CONSTANTS(:,3), 2.00000)), 1.0 ./ 2)))./(2.00000 - 8.00000.*CONSTANTS(:,78)))./CONSTANTS(:,79)))./( (1.00000+STATES(:,10)./CONSTANTS(:,76)+STATES(:,11)./CONSTANTS(:,80)).*(1.00000+((((STATES(:,1) - 4.00000.*CONSTANTS(:,78).*STATES(:,1)) - CONSTANTS(:,3))+power((((power(STATES(:,1), 2.00000) - 4.00000.*CONSTANTS(:,78).*power(STATES(:,1), 2.00000)) - 2.00000.*STATES(:,1).*CONSTANTS(:,3))+ 8.00000.*CONSTANTS(:,78).*STATES(:,1).*CONSTANTS(:,3)+power(CONSTANTS(:,3), 2.00000)), 1.0 ./ 2))./(2.00000 - 8.00000.*CONSTANTS(:,78)))./CONSTANTS(:,81)+((CONSTANTS(:,3) - power((((power(STATES(:,1), 2.00000) - 4.00000.*CONSTANTS(:,78).*power(STATES(:,1), 2.00000)) - 2.00000.*STATES(:,1).*CONSTANTS(:,3))+ 8.00000.*CONSTANTS(:,78).*STATES(:,1).*CONSTANTS(:,3)+power(CONSTANTS(:,3), 2.00000)), 1.0 ./ 2))./(1.00000 - 4.00000.*CONSTANTS(:,78)))./CONSTANTS(:,77)));
ALGEBRAIC(:,22) = (( CONSTANTS(:,9).*CONSTANTS(:,108).*STATES(:,16).*STATES(:,17))./( CONSTANTS(:,109).*CONSTANTS(:,110)))./( (1.00000+STATES(:,16)./CONSTANTS(:,109)+STATES(:,18)./CONSTANTS(:,111)).*(1.00000+STATES(:,17)./CONSTANTS(:,110)));
ALGEBRAIC(:,24) = ( CONSTANTS(:,9).*CONSTANTS(:,96).*(((STATES(:,1) - 4.00000.*CONSTANTS(:,97).*STATES(:,1)) - CONSTANTS(:,3))+power((((power(STATES(:,1), 2.00000) - 4.00000.*CONSTANTS(:,97).*power(STATES(:,1), 2.00000)) - 2.00000.*STATES(:,1).*CONSTANTS(:,3))+ 8.00000.*CONSTANTS(:,97).*STATES(:,1).*CONSTANTS(:,3)+power(CONSTANTS(:,3), 2.00000)), 1.0 ./ 2)))./(2.00000 - 8.00000.*CONSTANTS(:,97));
ALGEBRAIC(:,23) = (( CONSTANTS(:,9).*CONSTANTS(:,82).*power(STATES(:,11), CONSTANTS(:,83)))./power(CONSTANTS(:,84), CONSTANTS(:,83)))./(1.00000+power(STATES(:,11), CONSTANTS(:,83))./power(CONSTANTS(:,84), CONSTANTS(:,83)));
ALGEBRAIC(:,26) = CONSTANTS(:,9).*CONSTANTS(:,138).*STATES(:,18);
ALGEBRAIC(:,25) = ( CONSTANTS(:,9).*(( CONSTANTS(:,112).*STATES(:,19))./CONSTANTS(:,114) - ( CONSTANTS(:,113).*STATES(:,20))./CONSTANTS(:,115)))./(1.00000+STATES(:,19)./CONSTANTS(:,114)+STATES(:,20)./CONSTANTS(:,115));
ALGEBRAIC(:,28) = ( CONSTANTS(:,9).*(( CONSTANTS(:,116).*STATES(:,20).*STATES(:,21))./( CONSTANTS(:,118).*CONSTANTS(:,119)) - ( CONSTANTS(:,117).*STATES(:,13).*STATES(:,22))./( CONSTANTS(:,120).*CONSTANTS(:,121))))./( (1.00000+STATES(:,20)./CONSTANTS(:,118)+STATES(:,13)./CONSTANTS(:,120)).*(1.00000+STATES(:,21)./CONSTANTS(:,119)+STATES(:,22)./CONSTANTS(:,121)));
ALGEBRAIC(:,27) = CONSTANTS(:,9).*CONSTANTS(:,85).*STATES(:,12);
ALGEBRAIC(:,29) = ( (( CONSTANTS(:,9).* - CONSTANTS(:,86))./( CONSTANTS(:,87).*CONSTANTS(:,88))).*( STATES(:,6).*CONSTANTS(:,5) - ( STATES(:,5).*STATES(:,12))./CONSTANTS(:,89)))./(1.00000+STATES(:,6)./CONSTANTS(:,87)+( CONSTANTS(:,90).*CONSTANTS(:,5))./( CONSTANTS(:,87).*CONSTANTS(:,88))+( CONSTANTS(:,91).*STATES(:,12))./( CONSTANTS(:,92).*CONSTANTS(:,93))+STATES(:,5)./CONSTANTS(:,92)+( STATES(:,6).*CONSTANTS(:,5))./( CONSTANTS(:,87).*CONSTANTS(:,88))+( CONSTANTS(:,91).*STATES(:,6).*STATES(:,12))./( CONSTANTS(:,87).*CONSTANTS(:,92).*CONSTANTS(:,93))+( CONSTANTS(:,90).*CONSTANTS(:,5).*STATES(:,5))./( CONSTANTS(:,87).*CONSTANTS(:,88).*CONSTANTS(:,92))+( STATES(:,5).*STATES(:,12))./( CONSTANTS(:,92).*CONSTANTS(:,93))+( STATES(:,6).*CONSTANTS(:,5).*STATES(:,12))./( CONSTANTS(:,87).*CONSTANTS(:,88).*CONSTANTS(:,94))+( CONSTANTS(:,5).*STATES(:,5).*STATES(:,12))./( CONSTANTS(:,95).*CONSTANTS(:,92).*CONSTANTS(:,93)));
ALGEBRAIC(:,30) = ( CONSTANTS(:,9).*(( CONSTANTS(:,122).*STATES(:,19))./CONSTANTS(:,124) - ( CONSTANTS(:,123).*STATES(:,21))./CONSTANTS(:,125)))./(1.00000+STATES(:,19)./CONSTANTS(:,124)+STATES(:,21)./CONSTANTS(:,125));
ALGEBRAIC(:,31) = ( CONSTANTS(:,9).*(( CONSTANTS(:,126).*STATES(:,13).*STATES(:,22))./( CONSTANTS(:,128).*CONSTANTS(:,129)) - ( CONSTANTS(:,127).*STATES(:,3).*STATES(:,23))./( CONSTANTS(:,130).*CONSTANTS(:,131))))./( (1.00000+STATES(:,13)./CONSTANTS(:,128)+STATES(:,3)./CONSTANTS(:,130)).*(1.00000+STATES(:,22)./CONSTANTS(:,129)+STATES(:,23)./CONSTANTS(:,131)));
ALGEBRAIC(:,32) = ( CONSTANTS(:,9).*(( CONSTANTS(:,132).*STATES(:,23).*STATES(:,21))./( CONSTANTS(:,135).*CONSTANTS(:,134)) - ( CONSTANTS(:,133).*STATES(:,3).*STATES(:,13))./( CONSTANTS(:,136).*CONSTANTS(:,137))))./( (1.00000+STATES(:,21)./CONSTANTS(:,134)+STATES(:,13)./CONSTANTS(:,137)).*(1.00000+STATES(:,23)./CONSTANTS(:,135)+STATES(:,3)./CONSTANTS(:,136)));
ALGEBRAIC(:,2) = STATES(:,18)./STATES(:,17);
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