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 =26;
end
% There are a total of 17 entries in each of the rate and state variable arrays.
% There are a total of 49 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('A in component differentials (molar)');
    LEGEND_STATES(:,2) = strpad('G in component differentials (molar)');
    LEGEND_STATES(:,3) = strpad('GA in component differentials (molar)');
    LEGEND_STATES(:,4) = strpad('T in component differentials (molar)');
    LEGEND_STATES(:,5) = strpad('R in component differentials (molar)');
    LEGEND_STATES(:,6) = strpad('GT in component differentials (molar)');
    LEGEND_STATES(:,7) = strpad('GD in component differentials (molar)');
    LEGEND_STATES(:,8) = strpad('Pi_ in component differentials (molar)');
    LEGEND_STATES(:,9) = strpad('D in component differentials (molar)');
    LEGEND_STATES(:,10) = strpad('RG in component differentials (molar)');
    LEGEND_STATES(:,11) = strpad('RGT in component differentials (molar)');
    LEGEND_STATES(:,12) = strpad('GAT in component differentials (molar)');
    LEGEND_STATES(:,13) = strpad('GAD in component differentials (molar)');
    LEGEND_STATES(:,14) = strpad('RGD in component differentials (molar)');
    LEGEND_STATES(:,15) = strpad('RGA in component differentials (molar)');
    LEGEND_STATES(:,16) = strpad('RGAT in component differentials (molar)');
    LEGEND_STATES(:,17) = strpad('RGAD in component differentials (molar)');
    LEGEND_ALGEBRAIC(:,1) = strpad('A1 in component A1 (molar_per_second)');
    LEGEND_ALGEBRAIC(:,10) = strpad('A2 in component A2 (molar_per_second)');
    LEGEND_ALGEBRAIC(:,11) = strpad('A3 in component A3 (molar_per_second)');
    LEGEND_ALGEBRAIC(:,18) = strpad('A4 in component A4 (molar_per_second)');
    LEGEND_ALGEBRAIC(:,22) = strpad('A5 in component A5 (molar_per_second)');
    LEGEND_ALGEBRAIC(:,24) = strpad('A6 in component A6 (molar_per_second)');
    LEGEND_ALGEBRAIC(:,5) = strpad('R1 in component R1 (molar_per_second)');
    LEGEND_ALGEBRAIC(:,9) = strpad('R2 in component R2 (molar_per_second)');
    LEGEND_ALGEBRAIC(:,12) = strpad('R3 in component R3 (molar_per_second)');
    LEGEND_ALGEBRAIC(:,19) = strpad('R4 in component R4 (molar_per_second)');
    LEGEND_ALGEBRAIC(:,21) = strpad('R5 in component R5 (molar_per_second)');
    LEGEND_ALGEBRAIC(:,25) = strpad('R6 in component R6 (molar_per_second)');
    LEGEND_ALGEBRAIC(:,4) = strpad('T1 in component T1 (molar_per_second)');
    LEGEND_ALGEBRAIC(:,15) = strpad('T2 in component T2 (molar_per_second)');
    LEGEND_ALGEBRAIC(:,8) = strpad('T3 in component T3 (molar_per_second)');
    LEGEND_ALGEBRAIC(:,20) = strpad('T4 in component T4 (molar_per_second)');
    LEGEND_ALGEBRAIC(:,6) = strpad('P1 in component P1 (molar_per_second)');
    LEGEND_ALGEBRAIC(:,16) = strpad('P2 in component P2 (molar_per_second)');
    LEGEND_ALGEBRAIC(:,13) = strpad('P3 in component P3 (molar_per_second)');
    LEGEND_ALGEBRAIC(:,23) = strpad('P4 in component P4 (molar_per_second)');
    LEGEND_ALGEBRAIC(:,7) = strpad('D1 in component D1 (molar_per_second)');
    LEGEND_ALGEBRAIC(:,17) = strpad('D2 in component D2 (molar_per_second)');
    LEGEND_ALGEBRAIC(:,14) = strpad('D3 in component D3 (molar_per_second)');
    LEGEND_ALGEBRAIC(:,26) = strpad('D4 in component D4 (molar_per_second)');
    LEGEND_ALGEBRAIC(:,2) = strpad('Z in component output (dimensionless)');
    LEGEND_ALGEBRAIC(:,3) = strpad('v in component output (per_second)');
    LEGEND_CONSTANTS(:,1) = strpad('G_tot in component output (molar)');
    LEGEND_CONSTANTS(:,2) = strpad('k1 in component P1 (per_second)');
    LEGEND_CONSTANTS(:,3) = strpad('k1 in component P2 (per_second)');
    LEGEND_CONSTANTS(:,4) = strpad('k1 in component P3 (per_second)');
    LEGEND_CONSTANTS(:,5) = strpad('k1 in component P4 (per_second)');
    LEGEND_CONSTANTS(:,6) = strpad('k1 in component A1 (per_molar_per_second)');
    LEGEND_CONSTANTS(:,7) = strpad('k2 in component A1 (per_second)');
    LEGEND_CONSTANTS(:,8) = strpad('k1 in component T1 (per_molar_per_second)');
    LEGEND_CONSTANTS(:,9) = strpad('k2 in component T1 (per_second)');
    LEGEND_CONSTANTS(:,10) = strpad('k1 in component R1 (per_molar_per_second)');
    LEGEND_CONSTANTS(:,11) = strpad('k2 in component R1 (per_second)');
    LEGEND_CONSTANTS(:,12) = strpad('k2 in component P1 (per_molar_per_second)');
    LEGEND_CONSTANTS(:,13) = strpad('k1 in component D1 (per_second)');
    LEGEND_CONSTANTS(:,14) = strpad('k2 in component D1 (per_molar_per_second)');
    LEGEND_CONSTANTS(:,15) = strpad('k1 in component T3 (per_molar_per_second)');
    LEGEND_CONSTANTS(:,16) = strpad('k2 in component T3 (per_second)');
    LEGEND_CONSTANTS(:,17) = strpad('k1 in component R2 (per_molar_per_second)');
    LEGEND_CONSTANTS(:,18) = strpad('k2 in component R2 (per_second)');
    LEGEND_CONSTANTS(:,19) = strpad('k1 in component A2 (per_molar_per_second)');
    LEGEND_CONSTANTS(:,20) = strpad('k2 in component A2 (per_second)');
    LEGEND_CONSTANTS(:,21) = strpad('k1 in component A3 (per_molar_per_second)');
    LEGEND_CONSTANTS(:,22) = strpad('k2 in component A3 (per_second)');
    LEGEND_CONSTANTS(:,23) = strpad('k1 in component R3 (per_molar_per_second)');
    LEGEND_CONSTANTS(:,24) = strpad('k2 in component R3 (per_second)');
    LEGEND_CONSTANTS(:,25) = strpad('k2 in component P3 (per_molar_per_second)');
    LEGEND_CONSTANTS(:,26) = strpad('k1 in component D3 (per_second)');
    LEGEND_CONSTANTS(:,27) = strpad('k2 in component D3 (per_molar_per_second)');
    LEGEND_CONSTANTS(:,28) = strpad('k1 in component T2 (per_molar_per_second)');
    LEGEND_CONSTANTS(:,29) = strpad('k2 in component T2 (per_second)');
    LEGEND_CONSTANTS(:,30) = strpad('k2 in component P2 (per_molar_per_second)');
    LEGEND_CONSTANTS(:,31) = strpad('k1 in component D2 (per_second)');
    LEGEND_CONSTANTS(:,32) = strpad('k2 in component D2 (per_molar_per_second)');
    LEGEND_CONSTANTS(:,33) = strpad('k1 in component A4 (per_molar_per_second)');
    LEGEND_CONSTANTS(:,34) = strpad('k2 in component A4 (per_second)');
    LEGEND_CONSTANTS(:,35) = strpad('k1 in component R4 (per_molar_per_second)');
    LEGEND_CONSTANTS(:,36) = strpad('k2 in component R4 (per_second)');
    LEGEND_CONSTANTS(:,37) = strpad('k1 in component T4 (per_molar_per_second)');
    LEGEND_CONSTANTS(:,38) = strpad('k2 in component T4 (per_second)');
    LEGEND_CONSTANTS(:,39) = strpad('k1 in component R5 (per_molar_per_second)');
    LEGEND_CONSTANTS(:,40) = strpad('k2 in component R5 (per_second)');
    LEGEND_CONSTANTS(:,41) = strpad('k1 in component A5 (per_molar_per_second)');
    LEGEND_CONSTANTS(:,42) = strpad('k2 in component A5 (per_second)');
    LEGEND_CONSTANTS(:,43) = strpad('k2 in component P4 (per_molar_per_second)');
    LEGEND_CONSTANTS(:,44) = strpad('k1 in component A6 (per_molar_per_second)');
    LEGEND_CONSTANTS(:,45) = strpad('k2 in component A6 (per_second)');
    LEGEND_CONSTANTS(:,46) = strpad('k1 in component R6 (per_molar_per_second)');
    LEGEND_CONSTANTS(:,47) = strpad('k2 in component R6 (per_second)');
    LEGEND_CONSTANTS(:,48) = strpad('k1 in component D4 (per_second)');
    LEGEND_CONSTANTS(:,49) = strpad('k2 in component D4 (per_molar_per_second)');
    LEGEND_RATES(:,1) = strpad('d/dt A in component differentials (molar)');
    LEGEND_RATES(:,2) = strpad('d/dt G in component differentials (molar)');
    LEGEND_RATES(:,3) = strpad('d/dt GA in component differentials (molar)');
    LEGEND_RATES(:,4) = strpad('d/dt T in component differentials (molar)');
    LEGEND_RATES(:,5) = strpad('d/dt R in component differentials (molar)');
    LEGEND_RATES(:,6) = strpad('d/dt GT in component differentials (molar)');
    LEGEND_RATES(:,7) = strpad('d/dt GD in component differentials (molar)');
    LEGEND_RATES(:,8) = strpad('d/dt Pi_ in component differentials (molar)');
    LEGEND_RATES(:,9) = strpad('d/dt D in component differentials (molar)');
    LEGEND_RATES(:,10) = strpad('d/dt RG in component differentials (molar)');
    LEGEND_RATES(:,11) = strpad('d/dt RGT in component differentials (molar)');
    LEGEND_RATES(:,12) = strpad('d/dt GAT in component differentials (molar)');
    LEGEND_RATES(:,13) = strpad('d/dt GAD in component differentials (molar)');
    LEGEND_RATES(:,14) = strpad('d/dt RGD in component differentials (molar)');
    LEGEND_RATES(:,15) = strpad('d/dt RGA in component differentials (molar)');
    LEGEND_RATES(:,16) = strpad('d/dt RGAT in component differentials (molar)');
    LEGEND_RATES(:,17) = strpad('d/dt RGAD in component differentials (molar)');
    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;
    STATES(:,2) = 0;
    STATES(:,3) = 0;
    STATES(:,4) = 0.000468;
    STATES(:,5) = 1e-6;
    STATES(:,6) = 0;
    STATES(:,7) = 1e-8;
    STATES(:,8) = 0.0044;
    STATES(:,9) = 0.000149;
    STATES(:,10) = 0;
    STATES(:,11) = 0;
    STATES(:,12) = 0;
    STATES(:,13) = 0;
    STATES(:,14) = 0;
    STATES(:,15) = 0;
    STATES(:,16) = 0;
    STATES(:,17) = 0;
    CONSTANTS(:,1) = 1e-8;
    CONSTANTS(:,2) = 0.013;
    CONSTANTS(:,3) = 25;
    CONSTANTS(:,4) = 0.013;
    CONSTANTS(:,5) = 25;
    CONSTANTS(:,6) = 8780000;
    CONSTANTS(:,7) = 8;
    CONSTANTS(:,8) = 529000;
    CONSTANTS(:,9) = 8.38e-6;
    CONSTANTS(:,10) = 636000000;
    CONSTANTS(:,11) = 0.0179;
    CONSTANTS(:,12) = 9.03e-7;
    CONSTANTS(:,13) = 0.0001;
    CONSTANTS(:,14) = 62.3;
    CONSTANTS(:,15) = 853000;
    CONSTANTS(:,16) = 0.00468;
    CONSTANTS(:,17) = 132000000;
    CONSTANTS(:,18) = 1.28;
    CONSTANTS(:,19) = 386000;
    CONSTANTS(:,20) = 0.0408;
    CONSTANTS(:,21) = 64100;
    CONSTANTS(:,22) = 0.95;
    CONSTANTS(:,23) = 94700000;
    CONSTANTS(:,24) = 0.00227;
    CONSTANTS(:,25) = 2.22e-9;
    CONSTANTS(:,26) = 2;
    CONSTANTS(:,27) = 1470000;
    CONSTANTS(:,28) = 44700;
    CONSTANTS(:,29) = 8.32e-8;
    CONSTANTS(:,30) = 0.244;
    CONSTANTS(:,31) = 0.0001;
    CONSTANTS(:,32) = 3.83;
    CONSTANTS(:,33) = 74300;
    CONSTANTS(:,34) = 0.00572;
    CONSTANTS(:,35) = 22800000;
    CONSTANTS(:,36) = 5.43e-5;
    CONSTANTS(:,37) = 1620000;
    CONSTANTS(:,38) = 0.00875;
    CONSTANTS(:,39) = 6200000;
    CONSTANTS(:,40) = 0.0433;
    CONSTANTS(:,41) = 6300000;
    CONSTANTS(:,42) = 0.478;
    CONSTANTS(:,43) = 0.00297;
    CONSTANTS(:,44) = 13000;
    CONSTANTS(:,45) = 0.685;
    CONSTANTS(:,46) = 49400000;
    CONSTANTS(:,47) = 0.00421;
    CONSTANTS(:,48) = 2.75;
    CONSTANTS(:,49) = 2940;
    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(:,6).*STATES(:,2).*STATES(:,1) -  CONSTANTS(:,7).*STATES(:,3);
    ALGEBRAIC(:,5) =  CONSTANTS(:,10).*STATES(:,2).*STATES(:,5) -  CONSTANTS(:,11).*STATES(:,10);
    ALGEBRAIC(:,4) =  CONSTANTS(:,8).*STATES(:,2).*STATES(:,4) -  CONSTANTS(:,9).*STATES(:,6);
    ALGEBRAIC(:,7) =  CONSTANTS(:,13).*STATES(:,7) -  CONSTANTS(:,14).*STATES(:,2).*STATES(:,9);
    RATES(:,2) = ALGEBRAIC(:,7) - (ALGEBRAIC(:,1)+ALGEBRAIC(:,4)+ALGEBRAIC(:,5));
    ALGEBRAIC(:,10) =  CONSTANTS(:,19).*STATES(:,6).*STATES(:,1) -  CONSTANTS(:,20).*STATES(:,12);
    ALGEBRAIC(:,9) =  CONSTANTS(:,17).*STATES(:,6).*STATES(:,5) -  CONSTANTS(:,18).*STATES(:,11);
    ALGEBRAIC(:,6) =  CONSTANTS(:,2).*STATES(:,6) -  CONSTANTS(:,12).*STATES(:,7).*STATES(:,8);
    RATES(:,6) = ((ALGEBRAIC(:,4) - ALGEBRAIC(:,6)) - ALGEBRAIC(:,9)) - ALGEBRAIC(:,10);
    ALGEBRAIC(:,11) =  CONSTANTS(:,21).*STATES(:,7).*STATES(:,1) -  CONSTANTS(:,22).*STATES(:,13);
    ALGEBRAIC(:,12) =  CONSTANTS(:,23).*STATES(:,7).*STATES(:,5) -  CONSTANTS(:,24).*STATES(:,14);
    RATES(:,7) = ((ALGEBRAIC(:,6) - ALGEBRAIC(:,7)) - ALGEBRAIC(:,11)) - ALGEBRAIC(:,12);
    ALGEBRAIC(:,18) =  CONSTANTS(:,33).*STATES(:,10).*STATES(:,1) -  CONSTANTS(:,34).*STATES(:,15);
    ALGEBRAIC(:,8) =  CONSTANTS(:,15).*STATES(:,10).*STATES(:,4) -  CONSTANTS(:,16).*STATES(:,11);
    ALGEBRAIC(:,14) =  CONSTANTS(:,26).*STATES(:,14) -  CONSTANTS(:,27).*STATES(:,10).*STATES(:,9);
    RATES(:,10) = ((ALGEBRAIC(:,5) - ALGEBRAIC(:,8))+ALGEBRAIC(:,14)) - ALGEBRAIC(:,18);
    ALGEBRAIC(:,19) =  CONSTANTS(:,35).*STATES(:,3).*STATES(:,5) -  CONSTANTS(:,36).*STATES(:,15);
    ALGEBRAIC(:,15) =  CONSTANTS(:,28).*STATES(:,3).*STATES(:,4) -  CONSTANTS(:,29).*STATES(:,12);
    ALGEBRAIC(:,17) =  CONSTANTS(:,31).*STATES(:,13) -  CONSTANTS(:,32).*STATES(:,3).*STATES(:,9);
    RATES(:,3) = ((ALGEBRAIC(:,1) - ALGEBRAIC(:,15))+ALGEBRAIC(:,17)) - ALGEBRAIC(:,19);
    ALGEBRAIC(:,20) =  CONSTANTS(:,37).*STATES(:,15).*STATES(:,4) -  CONSTANTS(:,38).*STATES(:,16);
    RATES(:,4) =  - (ALGEBRAIC(:,4)+ALGEBRAIC(:,8)+ALGEBRAIC(:,15)+ALGEBRAIC(:,20));
    ALGEBRAIC(:,21) =  CONSTANTS(:,39).*STATES(:,12).*STATES(:,5) -  CONSTANTS(:,40).*STATES(:,16);
    ALGEBRAIC(:,16) =  CONSTANTS(:,3).*STATES(:,12) -  CONSTANTS(:,30).*STATES(:,13).*STATES(:,8);
    RATES(:,12) = ((ALGEBRAIC(:,10)+ALGEBRAIC(:,15)) - ALGEBRAIC(:,16)) - ALGEBRAIC(:,21);
    ALGEBRAIC(:,22) =  CONSTANTS(:,41).*STATES(:,11).*STATES(:,1) -  CONSTANTS(:,42).*STATES(:,16);
    ALGEBRAIC(:,13) =  CONSTANTS(:,4).*STATES(:,11) -  CONSTANTS(:,25).*STATES(:,14).*STATES(:,8);
    RATES(:,11) = ((ALGEBRAIC(:,8)+ALGEBRAIC(:,9)) - ALGEBRAIC(:,13)) - ALGEBRAIC(:,22);
    ALGEBRAIC(:,23) =  CONSTANTS(:,5).*STATES(:,16) -  CONSTANTS(:,43).*STATES(:,17).*STATES(:,8);
    RATES(:,8) = ALGEBRAIC(:,6)+ALGEBRAIC(:,13)+ALGEBRAIC(:,16)+ALGEBRAIC(:,23);
    RATES(:,16) = (ALGEBRAIC(:,20)+ALGEBRAIC(:,21)+ALGEBRAIC(:,22)) - ALGEBRAIC(:,23);
    ALGEBRAIC(:,24) =  CONSTANTS(:,44).*STATES(:,14).*STATES(:,1) -  CONSTANTS(:,45).*STATES(:,17);
    RATES(:,1) =  - (ALGEBRAIC(:,1)+ALGEBRAIC(:,10)+ALGEBRAIC(:,11)+ALGEBRAIC(:,18)+ALGEBRAIC(:,22)+ALGEBRAIC(:,24));
    RATES(:,14) = ((ALGEBRAIC(:,12)+ALGEBRAIC(:,13)) - ALGEBRAIC(:,14)) - ALGEBRAIC(:,24);
    ALGEBRAIC(:,25) =  CONSTANTS(:,46).*STATES(:,13).*STATES(:,5) -  CONSTANTS(:,47).*STATES(:,17);
    RATES(:,5) =  - (ALGEBRAIC(:,5)+ALGEBRAIC(:,9)+ALGEBRAIC(:,12)+ALGEBRAIC(:,19)+ALGEBRAIC(:,21)+ALGEBRAIC(:,25));
    RATES(:,13) = ((ALGEBRAIC(:,11)+ALGEBRAIC(:,16)) - ALGEBRAIC(:,17)) - ALGEBRAIC(:,25);
    ALGEBRAIC(:,26) =  CONSTANTS(:,48).*STATES(:,17) -  CONSTANTS(:,49).*STATES(:,15).*STATES(:,9);
    RATES(:,9) = ALGEBRAIC(:,7)+ALGEBRAIC(:,14)+ALGEBRAIC(:,17)+ALGEBRAIC(:,26);
    RATES(:,15) = ((ALGEBRAIC(:,18)+ALGEBRAIC(:,19)) - ALGEBRAIC(:,20))+ALGEBRAIC(:,26);
    RATES(:,17) = (ALGEBRAIC(:,23)+ALGEBRAIC(:,24)+ALGEBRAIC(:,25)) - ALGEBRAIC(:,26);
   RATES = RATES';
end

% Calculate algebraic variables
function ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, VOI)
    statesSize = size(STATES);
    statesColumnCount = statesSize(2);
    if ( statesColumnCount == 1)
        STATES = STATES';
        utilOnes = 1;
    else
        statesRowCount = statesSize(1);
        utilOnes = ones(statesRowCount, 1);
    end
    ALGEBRAIC(:,1) =  CONSTANTS(:,6).*STATES(:,2).*STATES(:,1) -  CONSTANTS(:,7).*STATES(:,3);
    ALGEBRAIC(:,5) =  CONSTANTS(:,10).*STATES(:,2).*STATES(:,5) -  CONSTANTS(:,11).*STATES(:,10);
    ALGEBRAIC(:,4) =  CONSTANTS(:,8).*STATES(:,2).*STATES(:,4) -  CONSTANTS(:,9).*STATES(:,6);
    ALGEBRAIC(:,7) =  CONSTANTS(:,13).*STATES(:,7) -  CONSTANTS(:,14).*STATES(:,2).*STATES(:,9);
    ALGEBRAIC(:,10) =  CONSTANTS(:,19).*STATES(:,6).*STATES(:,1) -  CONSTANTS(:,20).*STATES(:,12);
    ALGEBRAIC(:,9) =  CONSTANTS(:,17).*STATES(:,6).*STATES(:,5) -  CONSTANTS(:,18).*STATES(:,11);
    ALGEBRAIC(:,6) =  CONSTANTS(:,2).*STATES(:,6) -  CONSTANTS(:,12).*STATES(:,7).*STATES(:,8);
    ALGEBRAIC(:,11) =  CONSTANTS(:,21).*STATES(:,7).*STATES(:,1) -  CONSTANTS(:,22).*STATES(:,13);
    ALGEBRAIC(:,12) =  CONSTANTS(:,23).*STATES(:,7).*STATES(:,5) -  CONSTANTS(:,24).*STATES(:,14);
    ALGEBRAIC(:,18) =  CONSTANTS(:,33).*STATES(:,10).*STATES(:,1) -  CONSTANTS(:,34).*STATES(:,15);
    ALGEBRAIC(:,8) =  CONSTANTS(:,15).*STATES(:,10).*STATES(:,4) -  CONSTANTS(:,16).*STATES(:,11);
    ALGEBRAIC(:,14) =  CONSTANTS(:,26).*STATES(:,14) -  CONSTANTS(:,27).*STATES(:,10).*STATES(:,9);
    ALGEBRAIC(:,19) =  CONSTANTS(:,35).*STATES(:,3).*STATES(:,5) -  CONSTANTS(:,36).*STATES(:,15);
    ALGEBRAIC(:,15) =  CONSTANTS(:,28).*STATES(:,3).*STATES(:,4) -  CONSTANTS(:,29).*STATES(:,12);
    ALGEBRAIC(:,17) =  CONSTANTS(:,31).*STATES(:,13) -  CONSTANTS(:,32).*STATES(:,3).*STATES(:,9);
    ALGEBRAIC(:,20) =  CONSTANTS(:,37).*STATES(:,15).*STATES(:,4) -  CONSTANTS(:,38).*STATES(:,16);
    ALGEBRAIC(:,21) =  CONSTANTS(:,39).*STATES(:,12).*STATES(:,5) -  CONSTANTS(:,40).*STATES(:,16);
    ALGEBRAIC(:,16) =  CONSTANTS(:,3).*STATES(:,12) -  CONSTANTS(:,30).*STATES(:,13).*STATES(:,8);
    ALGEBRAIC(:,22) =  CONSTANTS(:,41).*STATES(:,11).*STATES(:,1) -  CONSTANTS(:,42).*STATES(:,16);
    ALGEBRAIC(:,13) =  CONSTANTS(:,4).*STATES(:,11) -  CONSTANTS(:,25).*STATES(:,14).*STATES(:,8);
    ALGEBRAIC(:,23) =  CONSTANTS(:,5).*STATES(:,16) -  CONSTANTS(:,43).*STATES(:,17).*STATES(:,8);
    ALGEBRAIC(:,24) =  CONSTANTS(:,44).*STATES(:,14).*STATES(:,1) -  CONSTANTS(:,45).*STATES(:,17);
    ALGEBRAIC(:,25) =  CONSTANTS(:,46).*STATES(:,13).*STATES(:,5) -  CONSTANTS(:,47).*STATES(:,17);
    ALGEBRAIC(:,26) =  CONSTANTS(:,48).*STATES(:,17) -  CONSTANTS(:,49).*STATES(:,15).*STATES(:,9);
    ALGEBRAIC(:,2) = (STATES(:,6)+STATES(:,11)+STATES(:,16)+STATES(:,12))./CONSTANTS(:,1);
    ALGEBRAIC(:,3) = ( CONSTANTS(:,5).*STATES(:,16)+ CONSTANTS(:,3).*STATES(:,12)+ CONSTANTS(:,4).*STATES(:,11)+ CONSTANTS(:,2).*STATES(:,6))./CONSTANTS(:,1);
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