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 =33;
end
% There are a total of 10 entries in each of the rate and state variable arrays.
% There are a total of 61 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_CONSTANTS(:,1) = strpad('Vc_Vg in component volume_ratio (dimensionless)');
LEGEND_CONSTANTS(:,2) = strpad('Glc_o in component Glc_o (millimolar)');
LEGEND_STATES(:,1) = strpad('Glc_i in component Glc_i (millimolar)');
LEGEND_ALGEBRAIC(:,23) = strpad('V_HK in component V_HK (flux)');
LEGEND_ALGEBRAIC(:,20) = strpad('V_glucose_transport in component V_glucose_transport (flux)');
LEGEND_ALGEBRAIC(:,1) = strpad('Glc_6_P_g in component Glc_6_P_g (millimolar)');
LEGEND_CONSTANTS(:,3) = strpad('Keq_PGI in component Glc_6_P_g (dimensionless)');
LEGEND_ALGEBRAIC(:,2) = strpad('Fru_6_P_g in component Fru_6_P_g (millimolar)');
LEGEND_STATES(:,2) = strpad('hexose_P_g in component hexose_P_g (millimolar)');
LEGEND_ALGEBRAIC(:,30) = strpad('V_PFK in component V_PFK (flux)');
LEGEND_STATES(:,3) = strpad('Fru_1_6_BP_g in component Fru_1_6_BP_g (millimolar)');
LEGEND_ALGEBRAIC(:,33) = strpad('V_ALD in component V_ALD (flux)');
LEGEND_ALGEBRAIC(:,9) = strpad('GA_3_P_g in component GA_3_P_g (millimolar)');
LEGEND_CONSTANTS(:,4) = strpad('Keq_TIM in component DHAP (dimensionless)');
LEGEND_ALGEBRAIC(:,7) = strpad('DHAP_g in component DHAP_g (millimolar)');
LEGEND_STATES(:,4) = strpad('triose_P in component triose_P (millimolar)');
LEGEND_ALGEBRAIC(:,24) = strpad('V_GAPDH in component V_GAPDH (flux)');
LEGEND_ALGEBRAIC(:,28) = strpad('V_GDH in component V_GDH (flux)');
LEGEND_ALGEBRAIC(:,22) = strpad('V_GPO in component V_GPO (flux)');
LEGEND_STATES(:,5) = strpad('one_three_BPGA_g in component one_three_BPGA_g (millimolar)');
LEGEND_ALGEBRAIC(:,25) = strpad('V_PGK in component V_PGK (flux)');
LEGEND_ALGEBRAIC(:,3) = strpad('three_PGA in component three_PGA (millimolar)');
LEGEND_STATES(:,6) = strpad('N in component N (millimolar)');
LEGEND_CONSTANTS(:,5) = strpad('Keq_PGM in component three_PGA (dimensionless)');
LEGEND_CONSTANTS(:,6) = strpad('Keq_ENO in component three_PGA (dimensionless)');
LEGEND_ALGEBRAIC(:,4) = strpad('two_PGA_c in component two_PGA_c (millimolar)');
LEGEND_ALGEBRAIC(:,29) = strpad('V_PYK in component V_PYK (flux)');
LEGEND_ALGEBRAIC(:,5) = strpad('PEP_c in component PEP_c (millimolar)');
LEGEND_STATES(:,7) = strpad('PYR_c in component PYR_c (millimolar)');
LEGEND_ALGEBRAIC(:,21) = strpad('V_pyruvate_transport in component V_pyruvate_transport (flux)');
LEGEND_CONSTANTS(:,7) = strpad('glycerol_g in component glycerol_g (millimolar)');
LEGEND_ALGEBRAIC(:,6) = strpad('DHAP in component DHAP (millimolar)');
LEGEND_ALGEBRAIC(:,8) = strpad('DHAP_c in component DHAP_c (millimolar)');
LEGEND_ALGEBRAIC(:,14) = strpad('Gly_3_P in component Gly_3_P (millimolar)');
LEGEND_ALGEBRAIC(:,11) = strpad('ATP_g in component ATP_g (millimolar)');
LEGEND_ALGEBRAIC(:,13) = strpad('ADP_g in component ADP_g (millimolar)');
LEGEND_CONSTANTS(:,8) = strpad('C4 in component C4 (millimolar)');
LEGEND_ALGEBRAIC(:,15) = strpad('Gly_3_P_c in component Gly_3_P_c (millimolar)');
LEGEND_ALGEBRAIC(:,16) = strpad('Gly_3_P_g in component Gly_3_P_g (millimolar)');
LEGEND_ALGEBRAIC(:,10) = strpad('NAD_g in component NAD_g (millimolar)');
LEGEND_STATES(:,8) = strpad('NADH_g in component NADH_g (millimolar)');
LEGEND_CONSTANTS(:,9) = strpad('C3 in component C3 (millimolar)');
LEGEND_STATES(:,9) = strpad('P_g in component P_g (millimolar)');
LEGEND_ALGEBRAIC(:,26) = strpad('V_GK in component V_GK (flux)');
LEGEND_STATES(:,10) = strpad('P_c in component P_c (millimolar)');
LEGEND_ALGEBRAIC(:,31) = strpad('V_ATP_utilisation in component V_ATP_utilisation (flux)');
LEGEND_CONSTANTS(:,10) = strpad('Keq_AK in component ATP_g (dimensionless)');
LEGEND_CONSTANTS(:,11) = strpad('C1 in component C1 (millimolar)');
LEGEND_ALGEBRAIC(:,12) = strpad('ATP_c in component ATP_c (millimolar)');
LEGEND_CONSTANTS(:,12) = strpad('Keq_AK in component ATP_c (dimensionless)');
LEGEND_CONSTANTS(:,13) = strpad('C2 in component C2 (millimolar)');
LEGEND_ALGEBRAIC(:,17) = strpad('ADP_c in component ADP_c (millimolar)');
LEGEND_ALGEBRAIC(:,18) = strpad('AMP_g in component AMP_g (millimolar)');
LEGEND_ALGEBRAIC(:,19) = strpad('AMP_c in component AMP_c (millimolar)');
LEGEND_CONSTANTS(:,14) = strpad('K_Glc in component V_glucose_transport (millimolar)');
LEGEND_CONSTANTS(:,15) = strpad('alpha in component V_glucose_transport (dimensionless)');
LEGEND_CONSTANTS(:,16) = strpad('V_glucose_transport_max in component V_glucose_transport (flux)');
LEGEND_CONSTANTS(:,17) = strpad('K_pyruvate in component V_pyruvate_transport (millimolar)');
LEGEND_CONSTANTS(:,18) = strpad('V_pyruvate_transport_max in component V_pyruvate_transport (flux)');
LEGEND_CONSTANTS(:,19) = strpad('K_Gly_3_P in component V_GPO (millimolar)');
LEGEND_CONSTANTS(:,20) = strpad('V_GPO_max in component V_GPO (flux)');
LEGEND_CONSTANTS(:,21) = strpad('K_Glc_i in component V_HK (millimolar)');
LEGEND_CONSTANTS(:,22) = strpad('K_ATP in component V_HK (millimolar)');
LEGEND_CONSTANTS(:,23) = strpad('K_ADP in component V_HK (millimolar)');
LEGEND_CONSTANTS(:,24) = strpad('V_HK_max in component V_HK (flux)');
LEGEND_CONSTANTS(:,25) = strpad('K_NAD in component V_GAPDH (millimolar)');
LEGEND_CONSTANTS(:,26) = strpad('K_GA_3_P in component V_GAPDH (millimolar)');
LEGEND_CONSTANTS(:,27) = strpad('K_1_3_BPGA in component V_GAPDH (millimolar)');
LEGEND_CONSTANTS(:,28) = strpad('K_NADH in component V_GAPDH (millimolar)');
LEGEND_CONSTANTS(:,29) = strpad('V_GAPDH_max_plus in component V_GAPDH (flux)');
LEGEND_CONSTANTS(:,30) = strpad('V_GAPDH_max_ratio in component V_GAPDH (dimensionless)');
LEGEND_CONSTANTS(:,31) = strpad('K_ADP in component V_PGK (millimolar)');
LEGEND_CONSTANTS(:,32) = strpad('K_1_3_BPGA in component V_PGK (millimolar)');
LEGEND_CONSTANTS(:,33) = strpad('K_3_PGA in component V_PGK (millimolar)');
LEGEND_CONSTANTS(:,34) = strpad('K_ATP in component V_PGK (millimolar)');
LEGEND_CONSTANTS(:,35) = strpad('V_PGK_max_plus in component V_PGK (flux)');
LEGEND_CONSTANTS(:,36) = strpad('V_PGK_max_ratio in component V_PGK (dimensionless)');
LEGEND_CONSTANTS(:,37) = strpad('K_ADP in component V_GK (millimolar)');
LEGEND_CONSTANTS(:,38) = strpad('K_Gly_3_P in component V_GK (millimolar)');
LEGEND_CONSTANTS(:,39) = strpad('K_glycerol in component V_GK (millimolar)');
LEGEND_CONSTANTS(:,40) = strpad('K_ATP in component V_GK (millimolar)');
LEGEND_CONSTANTS(:,41) = strpad('V_GK_max_plus in component V_GK (flux)');
LEGEND_CONSTANTS(:,42) = strpad('V_GK_max_ratio in component V_GK (dimensionless)');
LEGEND_CONSTANTS(:,43) = strpad('K_NADH in component V_GDH (millimolar)');
LEGEND_CONSTANTS(:,44) = strpad('K_Gly_3_P in component V_GDH (millimolar)');
LEGEND_CONSTANTS(:,45) = strpad('K_DHAP in component V_GDH (millimolar)');
LEGEND_CONSTANTS(:,46) = strpad('K_NAD in component V_GDH (millimolar)');
LEGEND_CONSTANTS(:,47) = strpad('V_GDH_max_plus in component V_GDH (flux)');
LEGEND_CONSTANTS(:,48) = strpad('V_GDH_max_ratio in component V_GDH (dimensionless)');
LEGEND_CONSTANTS(:,49) = strpad('n in component V_PFK (dimensionless)');
LEGEND_CONSTANTS(:,50) = strpad('Km_Fru_6_P in component V_PFK (millimolar)');
LEGEND_CONSTANTS(:,51) = strpad('Km_ATP in component V_PFK (millimolar)');
LEGEND_CONSTANTS(:,52) = strpad('V_PFK_max in component V_PFK (flux)');
LEGEND_ALGEBRAIC(:,27) = strpad('Km_PEP in component V_PYK (millimolar)');
LEGEND_CONSTANTS(:,53) = strpad('Km_ADP in component V_PYK (millimolar)');
LEGEND_CONSTANTS(:,54) = strpad('n in component V_PYK (dimensionless)');
LEGEND_CONSTANTS(:,55) = strpad('V_PYK_max in component V_PYK (flux)');
LEGEND_ALGEBRAIC(:,32) = strpad('Km_Fru_1_6_BP in component V_ALD (millimolar)');
LEGEND_CONSTANTS(:,56) = strpad('Km_GA_3_P in component V_ALD (millimolar)');
LEGEND_CONSTANTS(:,57) = strpad('Ki_GA_3_P in component V_ALD (millimolar)');
LEGEND_CONSTANTS(:,58) = strpad('Km_DHAP in component V_ALD (millimolar)');
LEGEND_CONSTANTS(:,59) = strpad('V_ALD_max_plus in component V_ALD (flux)');
LEGEND_CONSTANTS(:,60) = strpad('V_ALD_max_ratio in component V_ALD (dimensionless)');
LEGEND_CONSTANTS(:,61) = strpad('k in component V_ATP_utilisation (flux)');
LEGEND_RATES(:,1) = strpad('d/dt Glc_i in component Glc_i (millimolar)');
LEGEND_RATES(:,2) = strpad('d/dt hexose_P_g in component hexose_P_g (millimolar)');
LEGEND_RATES(:,3) = strpad('d/dt Fru_1_6_BP_g in component Fru_1_6_BP_g (millimolar)');
LEGEND_RATES(:,4) = strpad('d/dt triose_P in component triose_P (millimolar)');
LEGEND_RATES(:,5) = strpad('d/dt one_three_BPGA_g in component one_three_BPGA_g (millimolar)');
LEGEND_RATES(:,6) = strpad('d/dt N in component N (millimolar)');
LEGEND_RATES(:,7) = strpad('d/dt PYR_c in component PYR_c (millimolar)');
LEGEND_RATES(:,8) = strpad('d/dt NADH_g in component NADH_g (millimolar)');
LEGEND_RATES(:,9) = strpad('d/dt P_g in component P_g (millimolar)');
LEGEND_RATES(:,10) = strpad('d/dt P_c in component P_c (millimolar)');
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) = 22.3;
CONSTANTS(:,2) = 5.0;
STATES(:,1) = 0.01;
CONSTANTS(:,3) = 0.29;
STATES(:,2) = 0.01;
STATES(:,3) = 0.01;
CONSTANTS(:,4) = 0.045;
STATES(:,4) = 0.01;
STATES(:,5) = 0.01;
STATES(:,6) = 0.01;
CONSTANTS(:,5) = 0.187;
CONSTANTS(:,6) = 6.7;
STATES(:,7) = 0.01;
CONSTANTS(:,7) = 0.00;
CONSTANTS(:,8) = 120.0;
STATES(:,8) = 0.01;
CONSTANTS(:,9) = 4.0;
STATES(:,9) = 0.01;
STATES(:,10) = 0.01;
CONSTANTS(:,10) = 0.442;
CONSTANTS(:,11) = 3.9;
CONSTANTS(:,12) = 0.442;
CONSTANTS(:,13) = 3.9;
CONSTANTS(:,14) = 2.0;
CONSTANTS(:,15) = 0.75;
CONSTANTS(:,16) = 106.2;
CONSTANTS(:,17) = 1.96;
CONSTANTS(:,18) = 160.0;
CONSTANTS(:,19) = 1.7;
CONSTANTS(:,20) = 200.0;
CONSTANTS(:,21) = 0.1;
CONSTANTS(:,22) = 0.116;
CONSTANTS(:,23) = 0.126;
CONSTANTS(:,24) = 625.0;
CONSTANTS(:,25) = 0.45;
CONSTANTS(:,26) = 0.15;
CONSTANTS(:,27) = 0.1;
CONSTANTS(:,28) = 0.02;
CONSTANTS(:,29) = 1470.0;
CONSTANTS(:,30) = 0.67;
CONSTANTS(:,31) = 0.1;
CONSTANTS(:,32) = 0.05;
CONSTANTS(:,33) = 1.62;
CONSTANTS(:,34) = 0.29;
CONSTANTS(:,35) = 640.0;
CONSTANTS(:,36) = 0.029;
CONSTANTS(:,37) = 0.12;
CONSTANTS(:,38) = 5.1;
CONSTANTS(:,39) = 0.12;
CONSTANTS(:,40) = 0.19;
CONSTANTS(:,41) = 0.0;
CONSTANTS(:,42) = 167.0;
CONSTANTS(:,43) = 0.01;
CONSTANTS(:,44) = 2.0;
CONSTANTS(:,45) = 0.1;
CONSTANTS(:,46) = 0.4;
CONSTANTS(:,47) = 533.0;
CONSTANTS(:,48) = 0.28;
CONSTANTS(:,49) = 1.2;
CONSTANTS(:,50) = 0.82;
CONSTANTS(:,51) = 2.6E-2;
CONSTANTS(:,52) = 780.0;
CONSTANTS(:,53) = 0.114;
CONSTANTS(:,54) = 2.5;
CONSTANTS(:,55) = 2.6E3;
CONSTANTS(:,56) = 6.7E-2;
CONSTANTS(:,57) = 9.8E-2;
CONSTANTS(:,58) = 1.5E-2;
CONSTANTS(:,59) = 780.0;
CONSTANTS(:,60) = 1.19;
CONSTANTS(:,61) = 50;
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(:,11) = ((CONSTANTS(:,11) - - ( STATES(:,9).*(1.00000 - 4.00000.*CONSTANTS(:,10))))+power(power(CONSTANTS(:,11) - - ( STATES(:,9).*(1.00000 - 4.00000.*CONSTANTS(:,10))), 2.00000) - 4.00000.*(1.00000 - 4.00000.*CONSTANTS(:,10)).*( - CONSTANTS(:,10).*power(STATES(:,9), 2.00000)), 0.500000))./( 2.00000.*(1.00000 - 4.00000.*CONSTANTS(:,10)));
ALGEBRAIC(:,13) = STATES(:,9) - 2.00000.*ALGEBRAIC(:,11);
ALGEBRAIC(:,23) = CONSTANTS(:,24).*(( (ALGEBRAIC(:,11)./CONSTANTS(:,22)).*(STATES(:,1)./CONSTANTS(:,21)))./( (1.00000+ALGEBRAIC(:,11)./CONSTANTS(:,22)+ALGEBRAIC(:,13)./CONSTANTS(:,23)).*(1.00000+STATES(:,1)./CONSTANTS(:,21))));
ALGEBRAIC(:,20) = CONSTANTS(:,16).*((CONSTANTS(:,2) - STATES(:,1))./(CONSTANTS(:,14)+CONSTANTS(:,2)+STATES(:,1)+ CONSTANTS(:,15).*CONSTANTS(:,2).*(STATES(:,1)./CONSTANTS(:,14))));
RATES(:,1) = ALGEBRAIC(:,20) - ALGEBRAIC(:,23);
ALGEBRAIC(:,6) = ( STATES(:,4).*(1.00000+CONSTANTS(:,1)))./(1.00000+CONSTANTS(:,1)+CONSTANTS(:,4));
ALGEBRAIC(:,7) = ALGEBRAIC(:,6);
ALGEBRAIC(:,9) = CONSTANTS(:,4).*ALGEBRAIC(:,7);
ALGEBRAIC(:,10) = CONSTANTS(:,9) - STATES(:,8);
ALGEBRAIC(:,24) = CONSTANTS(:,29).*(( (ALGEBRAIC(:,9)./CONSTANTS(:,26)).*(ALGEBRAIC(:,10)./CONSTANTS(:,25) - CONSTANTS(:,30)).*(STATES(:,5)./CONSTANTS(:,27)).*(STATES(:,8)./CONSTANTS(:,28)))./( (1.00000+ALGEBRAIC(:,9)./CONSTANTS(:,26)+STATES(:,5)./CONSTANTS(:,27)).*(1.00000+ALGEBRAIC(:,10)./CONSTANTS(:,25)+STATES(:,8)./CONSTANTS(:,28))));
ALGEBRAIC(:,3) = ( STATES(:,6).*(1.00000+CONSTANTS(:,1)))./(1.00000+ (1.00000+CONSTANTS(:,5)+ CONSTANTS(:,5).*CONSTANTS(:,6)).*CONSTANTS(:,1));
ALGEBRAIC(:,25) = CONSTANTS(:,35).*(( (STATES(:,5)./CONSTANTS(:,32)).*(ALGEBRAIC(:,13)./CONSTANTS(:,31) - CONSTANTS(:,36)).*(ALGEBRAIC(:,3)./CONSTANTS(:,33)).*(ALGEBRAIC(:,11)./CONSTANTS(:,34)))./( (1.00000+STATES(:,5)./CONSTANTS(:,32)+ALGEBRAIC(:,3)./CONSTANTS(:,33)).*(1.00000+ALGEBRAIC(:,13)./CONSTANTS(:,31)+ALGEBRAIC(:,11)./CONSTANTS(:,34))));
RATES(:,5) = ALGEBRAIC(:,24) - ALGEBRAIC(:,25);
ALGEBRAIC(:,4) = CONSTANTS(:,5).*ALGEBRAIC(:,3);
ALGEBRAIC(:,5) = CONSTANTS(:,6).*ALGEBRAIC(:,4);
ALGEBRAIC(:,12) = ((CONSTANTS(:,13) - - ( STATES(:,10).*(1.00000 - 4.00000.*CONSTANTS(:,12))))+power(power(CONSTANTS(:,13) - - ( STATES(:,10).*(1.00000 - 4.00000.*CONSTANTS(:,12))), 2.00000) - 4.00000.*(1.00000 - 4.00000.*CONSTANTS(:,12)).*( - CONSTANTS(:,12).*power(STATES(:,10), 2.00000)), 0.500000))./( 2.00000.*(1.00000 - 4.00000.*CONSTANTS(:,12)));
ALGEBRAIC(:,17) = STATES(:,10) - 2.00000.*ALGEBRAIC(:,12);
ALGEBRAIC(:,27) = 0.340000.*(1.00000+ALGEBRAIC(:,12)./0.570000+ALGEBRAIC(:,17)./0.640000);
ALGEBRAIC(:,29) = CONSTANTS(:,55).*(( power(ALGEBRAIC(:,5)./ALGEBRAIC(:,27), CONSTANTS(:,54)).*(ALGEBRAIC(:,17)./CONSTANTS(:,53)))./( (1.00000+power(ALGEBRAIC(:,5)./ALGEBRAIC(:,27), CONSTANTS(:,54))).*(1.00000+ALGEBRAIC(:,17)./CONSTANTS(:,53))));
RATES(:,6) = ALGEBRAIC(:,25) - ALGEBRAIC(:,29);
ALGEBRAIC(:,21) = CONSTANTS(:,18).*(STATES(:,7)./CONSTANTS(:,17)).*(1.00000+STATES(:,7)./CONSTANTS(:,17));
RATES(:,7) = ALGEBRAIC(:,29) - ALGEBRAIC(:,21);
ALGEBRAIC(:,1) = STATES(:,2)./CONSTANTS(:,3);
ALGEBRAIC(:,2) = STATES(:,2) - ALGEBRAIC(:,1);
ALGEBRAIC(:,14) = (CONSTANTS(:,8) - (ALGEBRAIC(:,1)+ALGEBRAIC(:,2)+ 2.00000.*STATES(:,3)+ALGEBRAIC(:,9)+STATES(:,5)+ 2.00000.*ALGEBRAIC(:,11)+ALGEBRAIC(:,13)))./(1.00000+CONSTANTS(:,1)) - ALGEBRAIC(:,6);
ALGEBRAIC(:,16) = ALGEBRAIC(:,14);
ALGEBRAIC(:,28) = CONSTANTS(:,47).*(( (ALGEBRAIC(:,7)./CONSTANTS(:,45)).*(STATES(:,8)./CONSTANTS(:,43) - CONSTANTS(:,48)).*(ALGEBRAIC(:,16)./CONSTANTS(:,44)).*(ALGEBRAIC(:,10)./CONSTANTS(:,46)))./( (1.00000+ALGEBRAIC(:,7)./CONSTANTS(:,45)+ALGEBRAIC(:,16)./CONSTANTS(:,44)).*(1.00000+STATES(:,8)./CONSTANTS(:,43)+ALGEBRAIC(:,10)./CONSTANTS(:,46))));
RATES(:,8) = ALGEBRAIC(:,24) - ALGEBRAIC(:,28);
ALGEBRAIC(:,30) = CONSTANTS(:,52).*(( power(ALGEBRAIC(:,2)./CONSTANTS(:,50), CONSTANTS(:,49)).*(ALGEBRAIC(:,11)./CONSTANTS(:,51)))./( (1.00000+power(ALGEBRAIC(:,2)./CONSTANTS(:,50), CONSTANTS(:,49))).*(1.00000+ALGEBRAIC(:,11)./CONSTANTS(:,51))));
RATES(:,2) = ALGEBRAIC(:,23) - ALGEBRAIC(:,30);
ALGEBRAIC(:,26) = CONSTANTS(:,41).*(( (ALGEBRAIC(:,16)./CONSTANTS(:,38)).*(ALGEBRAIC(:,13)./CONSTANTS(:,37) - CONSTANTS(:,42)).*(CONSTANTS(:,7)./CONSTANTS(:,39)).*(ALGEBRAIC(:,11)./CONSTANTS(:,40)))./( (1.00000+ALGEBRAIC(:,16)./CONSTANTS(:,38)+CONSTANTS(:,7)./CONSTANTS(:,39)).*(1.00000+ALGEBRAIC(:,13)./CONSTANTS(:,37)+ALGEBRAIC(:,11)./CONSTANTS(:,40))));
RATES(:,9) = (ALGEBRAIC(:,25)+ALGEBRAIC(:,26)) - (ALGEBRAIC(:,23)+ALGEBRAIC(:,30));
ALGEBRAIC(:,31) = CONSTANTS(:,61).*(ALGEBRAIC(:,12)./ALGEBRAIC(:,17));
RATES(:,10) = ALGEBRAIC(:,29) - ALGEBRAIC(:,31);
ALGEBRAIC(:,18) = CONSTANTS(:,11) - (ALGEBRAIC(:,11)+ALGEBRAIC(:,13));
ALGEBRAIC(:,32) = 0.00900000.*(1.00000+ALGEBRAIC(:,11)./0.680000+ALGEBRAIC(:,13)./1.51000+ALGEBRAIC(:,18)./3.65000);
ALGEBRAIC(:,33) = CONSTANTS(:,59).*((STATES(:,3)./ALGEBRAIC(:,32) - CONSTANTS(:,60).*(( ALGEBRAIC(:,9).*ALGEBRAIC(:,7))./( CONSTANTS(:,56).*CONSTANTS(:,58))))./(1.00000+STATES(:,3)./ALGEBRAIC(:,32)+ALGEBRAIC(:,9)./CONSTANTS(:,56)+ALGEBRAIC(:,7)./CONSTANTS(:,58)+( STATES(:,3).*ALGEBRAIC(:,9))./( ALGEBRAIC(:,32).*CONSTANTS(:,57))+( ALGEBRAIC(:,7).*ALGEBRAIC(:,9))./( CONSTANTS(:,58).*CONSTANTS(:,56))));
RATES(:,3) = ALGEBRAIC(:,30) - ALGEBRAIC(:,33);
ALGEBRAIC(:,15) = ALGEBRAIC(:,14);
ALGEBRAIC(:,22) = CONSTANTS(:,20).*(ALGEBRAIC(:,15)./CONSTANTS(:,19)).*(1.00000+ALGEBRAIC(:,15)./CONSTANTS(:,19));
RATES(:,4) = ( 2.00000.*ALGEBRAIC(:,33)+ALGEBRAIC(:,22)) - (ALGEBRAIC(:,24)+ALGEBRAIC(:,28));
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(:,11) = ((CONSTANTS(:,11) - - ( STATES(:,9).*(1.00000 - 4.00000.*CONSTANTS(:,10))))+power(power(CONSTANTS(:,11) - - ( STATES(:,9).*(1.00000 - 4.00000.*CONSTANTS(:,10))), 2.00000) - 4.00000.*(1.00000 - 4.00000.*CONSTANTS(:,10)).*( - CONSTANTS(:,10).*power(STATES(:,9), 2.00000)), 0.500000))./( 2.00000.*(1.00000 - 4.00000.*CONSTANTS(:,10)));
ALGEBRAIC(:,13) = STATES(:,9) - 2.00000.*ALGEBRAIC(:,11);
ALGEBRAIC(:,23) = CONSTANTS(:,24).*(( (ALGEBRAIC(:,11)./CONSTANTS(:,22)).*(STATES(:,1)./CONSTANTS(:,21)))./( (1.00000+ALGEBRAIC(:,11)./CONSTANTS(:,22)+ALGEBRAIC(:,13)./CONSTANTS(:,23)).*(1.00000+STATES(:,1)./CONSTANTS(:,21))));
ALGEBRAIC(:,20) = CONSTANTS(:,16).*((CONSTANTS(:,2) - STATES(:,1))./(CONSTANTS(:,14)+CONSTANTS(:,2)+STATES(:,1)+ CONSTANTS(:,15).*CONSTANTS(:,2).*(STATES(:,1)./CONSTANTS(:,14))));
ALGEBRAIC(:,6) = ( STATES(:,4).*(1.00000+CONSTANTS(:,1)))./(1.00000+CONSTANTS(:,1)+CONSTANTS(:,4));
ALGEBRAIC(:,7) = ALGEBRAIC(:,6);
ALGEBRAIC(:,9) = CONSTANTS(:,4).*ALGEBRAIC(:,7);
ALGEBRAIC(:,10) = CONSTANTS(:,9) - STATES(:,8);
ALGEBRAIC(:,24) = CONSTANTS(:,29).*(( (ALGEBRAIC(:,9)./CONSTANTS(:,26)).*(ALGEBRAIC(:,10)./CONSTANTS(:,25) - CONSTANTS(:,30)).*(STATES(:,5)./CONSTANTS(:,27)).*(STATES(:,8)./CONSTANTS(:,28)))./( (1.00000+ALGEBRAIC(:,9)./CONSTANTS(:,26)+STATES(:,5)./CONSTANTS(:,27)).*(1.00000+ALGEBRAIC(:,10)./CONSTANTS(:,25)+STATES(:,8)./CONSTANTS(:,28))));
ALGEBRAIC(:,3) = ( STATES(:,6).*(1.00000+CONSTANTS(:,1)))./(1.00000+ (1.00000+CONSTANTS(:,5)+ CONSTANTS(:,5).*CONSTANTS(:,6)).*CONSTANTS(:,1));
ALGEBRAIC(:,25) = CONSTANTS(:,35).*(( (STATES(:,5)./CONSTANTS(:,32)).*(ALGEBRAIC(:,13)./CONSTANTS(:,31) - CONSTANTS(:,36)).*(ALGEBRAIC(:,3)./CONSTANTS(:,33)).*(ALGEBRAIC(:,11)./CONSTANTS(:,34)))./( (1.00000+STATES(:,5)./CONSTANTS(:,32)+ALGEBRAIC(:,3)./CONSTANTS(:,33)).*(1.00000+ALGEBRAIC(:,13)./CONSTANTS(:,31)+ALGEBRAIC(:,11)./CONSTANTS(:,34))));
ALGEBRAIC(:,4) = CONSTANTS(:,5).*ALGEBRAIC(:,3);
ALGEBRAIC(:,5) = CONSTANTS(:,6).*ALGEBRAIC(:,4);
ALGEBRAIC(:,12) = ((CONSTANTS(:,13) - - ( STATES(:,10).*(1.00000 - 4.00000.*CONSTANTS(:,12))))+power(power(CONSTANTS(:,13) - - ( STATES(:,10).*(1.00000 - 4.00000.*CONSTANTS(:,12))), 2.00000) - 4.00000.*(1.00000 - 4.00000.*CONSTANTS(:,12)).*( - CONSTANTS(:,12).*power(STATES(:,10), 2.00000)), 0.500000))./( 2.00000.*(1.00000 - 4.00000.*CONSTANTS(:,12)));
ALGEBRAIC(:,17) = STATES(:,10) - 2.00000.*ALGEBRAIC(:,12);
ALGEBRAIC(:,27) = 0.340000.*(1.00000+ALGEBRAIC(:,12)./0.570000+ALGEBRAIC(:,17)./0.640000);
ALGEBRAIC(:,29) = CONSTANTS(:,55).*(( power(ALGEBRAIC(:,5)./ALGEBRAIC(:,27), CONSTANTS(:,54)).*(ALGEBRAIC(:,17)./CONSTANTS(:,53)))./( (1.00000+power(ALGEBRAIC(:,5)./ALGEBRAIC(:,27), CONSTANTS(:,54))).*(1.00000+ALGEBRAIC(:,17)./CONSTANTS(:,53))));
ALGEBRAIC(:,21) = CONSTANTS(:,18).*(STATES(:,7)./CONSTANTS(:,17)).*(1.00000+STATES(:,7)./CONSTANTS(:,17));
ALGEBRAIC(:,1) = STATES(:,2)./CONSTANTS(:,3);
ALGEBRAIC(:,2) = STATES(:,2) - ALGEBRAIC(:,1);
ALGEBRAIC(:,14) = (CONSTANTS(:,8) - (ALGEBRAIC(:,1)+ALGEBRAIC(:,2)+ 2.00000.*STATES(:,3)+ALGEBRAIC(:,9)+STATES(:,5)+ 2.00000.*ALGEBRAIC(:,11)+ALGEBRAIC(:,13)))./(1.00000+CONSTANTS(:,1)) - ALGEBRAIC(:,6);
ALGEBRAIC(:,16) = ALGEBRAIC(:,14);
ALGEBRAIC(:,28) = CONSTANTS(:,47).*(( (ALGEBRAIC(:,7)./CONSTANTS(:,45)).*(STATES(:,8)./CONSTANTS(:,43) - CONSTANTS(:,48)).*(ALGEBRAIC(:,16)./CONSTANTS(:,44)).*(ALGEBRAIC(:,10)./CONSTANTS(:,46)))./( (1.00000+ALGEBRAIC(:,7)./CONSTANTS(:,45)+ALGEBRAIC(:,16)./CONSTANTS(:,44)).*(1.00000+STATES(:,8)./CONSTANTS(:,43)+ALGEBRAIC(:,10)./CONSTANTS(:,46))));
ALGEBRAIC(:,30) = CONSTANTS(:,52).*(( power(ALGEBRAIC(:,2)./CONSTANTS(:,50), CONSTANTS(:,49)).*(ALGEBRAIC(:,11)./CONSTANTS(:,51)))./( (1.00000+power(ALGEBRAIC(:,2)./CONSTANTS(:,50), CONSTANTS(:,49))).*(1.00000+ALGEBRAIC(:,11)./CONSTANTS(:,51))));
ALGEBRAIC(:,26) = CONSTANTS(:,41).*(( (ALGEBRAIC(:,16)./CONSTANTS(:,38)).*(ALGEBRAIC(:,13)./CONSTANTS(:,37) - CONSTANTS(:,42)).*(CONSTANTS(:,7)./CONSTANTS(:,39)).*(ALGEBRAIC(:,11)./CONSTANTS(:,40)))./( (1.00000+ALGEBRAIC(:,16)./CONSTANTS(:,38)+CONSTANTS(:,7)./CONSTANTS(:,39)).*(1.00000+ALGEBRAIC(:,13)./CONSTANTS(:,37)+ALGEBRAIC(:,11)./CONSTANTS(:,40))));
ALGEBRAIC(:,31) = CONSTANTS(:,61).*(ALGEBRAIC(:,12)./ALGEBRAIC(:,17));
ALGEBRAIC(:,18) = CONSTANTS(:,11) - (ALGEBRAIC(:,11)+ALGEBRAIC(:,13));
ALGEBRAIC(:,32) = 0.00900000.*(1.00000+ALGEBRAIC(:,11)./0.680000+ALGEBRAIC(:,13)./1.51000+ALGEBRAIC(:,18)./3.65000);
ALGEBRAIC(:,33) = CONSTANTS(:,59).*((STATES(:,3)./ALGEBRAIC(:,32) - CONSTANTS(:,60).*(( ALGEBRAIC(:,9).*ALGEBRAIC(:,7))./( CONSTANTS(:,56).*CONSTANTS(:,58))))./(1.00000+STATES(:,3)./ALGEBRAIC(:,32)+ALGEBRAIC(:,9)./CONSTANTS(:,56)+ALGEBRAIC(:,7)./CONSTANTS(:,58)+( STATES(:,3).*ALGEBRAIC(:,9))./( ALGEBRAIC(:,32).*CONSTANTS(:,57))+( ALGEBRAIC(:,7).*ALGEBRAIC(:,9))./( CONSTANTS(:,58).*CONSTANTS(:,56))));
ALGEBRAIC(:,15) = ALGEBRAIC(:,14);
ALGEBRAIC(:,22) = CONSTANTS(:,20).*(ALGEBRAIC(:,15)./CONSTANTS(:,19)).*(1.00000+ALGEBRAIC(:,15)./CONSTANTS(:,19));
ALGEBRAIC(:,8) = ALGEBRAIC(:,6);
ALGEBRAIC(:,19) = CONSTANTS(:,13) - (ALGEBRAIC(:,12)+ALGEBRAIC(:,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