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 =21;
end
% There are a total of 32 entries in each of the rate and state variable arrays.
% There are a total of 32 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('k1 in component constants (second_order_rate_constant)');
    LEGEND_CONSTANTS(:,2) = strpad('k2 in component constants (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,3) = strpad('k3 in component constants (second_order_rate_constant)');
    LEGEND_CONSTANTS(:,4) = strpad('k4 in component constants (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,5) = strpad('k5 in component constants (second_order_rate_constant)');
    LEGEND_CONSTANTS(:,6) = strpad('k6 in component constants (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,7) = strpad('k7 in component constants (second_order_rate_constant)');
    LEGEND_CONSTANTS(:,8) = strpad('k8 in component constants (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,9) = strpad('k9 in component constants (second_order_rate_constant)');
    LEGEND_CONSTANTS(:,10) = strpad('k10 in component constants (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,11) = strpad('k110 in component constants (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,12) = strpad('k120 in component constants (second_order_rate_constant)');
    LEGEND_CONSTANTS(:,13) = strpad('k130 in component constants (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,14) = strpad('k140 in component constants (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,15) = strpad('p in component constants (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,16) = strpad('k15 in component constants (second_order_rate_constant)');
    LEGEND_CONSTANTS(:,17) = strpad('k16 in component constants (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,18) = strpad('k17 in component constants (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,19) = strpad('k18 in component constants (second_order_rate_constant)');
    LEGEND_CONSTANTS(:,20) = strpad('k19 in component constants (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,21) = strpad('k20 in component constants (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,22) = strpad('k21 in component constants (second_order_rate_constant)');
    LEGEND_CONSTANTS(:,23) = strpad('k22 in component constants (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,24) = strpad('k23 in component constants (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,25) = strpad('k24 in component constants (second_order_rate_constant)');
    LEGEND_CONSTANTS(:,26) = strpad('k25 in component constants (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,27) = strpad('k26 in component constants (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,28) = strpad('k28 in component constants (second_order_rate_constant)');
    LEGEND_CONSTANTS(:,29) = strpad('k29 in component constants (second_order_rate_constant)');
    LEGEND_CONSTANTS(:,30) = strpad('d_6 in component constants (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,31) = strpad('k_14 in component constants (flux)');
    LEGEND_CONSTANTS(:,32) = strpad('k_m1 in component constants (rate3)');
    LEGEND_ALGEBRAIC(:,1) = strpad('J1 in component Js (flux)');
    LEGEND_ALGEBRAIC(:,3) = strpad('J2 in component Js (flux)');
    LEGEND_ALGEBRAIC(:,5) = strpad('J3 in component Js (flux)');
    LEGEND_ALGEBRAIC(:,6) = strpad('J4 in component Js (flux)');
    LEGEND_ALGEBRAIC(:,7) = strpad('J5 in component Js (flux)');
    LEGEND_ALGEBRAIC(:,8) = strpad('J6 in component Js (flux)');
    LEGEND_ALGEBRAIC(:,9) = strpad('J7 in component Js (flux)');
    LEGEND_ALGEBRAIC(:,10) = strpad('J8 in component Js (flux)');
    LEGEND_ALGEBRAIC(:,11) = strpad('J9 in component Js (flux)');
    LEGEND_ALGEBRAIC(:,12) = strpad('J10 in component Js (flux)');
    LEGEND_ALGEBRAIC(:,13) = strpad('J11 in component Js (flux)');
    LEGEND_ALGEBRAIC(:,14) = strpad('J12 in component Js (flux)');
    LEGEND_ALGEBRAIC(:,15) = strpad('J13 in component Js (flux)');
    LEGEND_ALGEBRAIC(:,16) = strpad('J14 in component Js (flux)');
    LEGEND_ALGEBRAIC(:,17) = strpad('J15 in component Js (flux)');
    LEGEND_ALGEBRAIC(:,18) = strpad('J16 in component Js (flux)');
    LEGEND_ALGEBRAIC(:,19) = strpad('J17 in component Js (flux)');
    LEGEND_ALGEBRAIC(:,20) = strpad('J18 in component Js (flux)');
    LEGEND_ALGEBRAIC(:,21) = strpad('J19 in component Js (flux)');
    LEGEND_ALGEBRAIC(:,2) = strpad('v14 in component Js (flux)');
    LEGEND_ALGEBRAIC(:,4) = strpad('deg_no in component Js (flux)');
    LEGEND_STATES(:,1) = strpad('R_NOS2 in component cs (nanomolar)');
    LEGEND_STATES(:,2) = strpad('c1 in component cs (nanomolar)');
    LEGEND_STATES(:,3) = strpad('c2 in component cs (nanomolar)');
    LEGEND_STATES(:,4) = strpad('c3 in component cs (nanomolar)');
    LEGEND_STATES(:,5) = strpad('c4 in component cs (nanomolar)');
    LEGEND_STATES(:,6) = strpad('c5 in component cs (nanomolar)');
    LEGEND_STATES(:,7) = strpad('c6 in component cs (nanomolar)');
    LEGEND_STATES(:,8) = strpad('c7 in component cs (nanomolar)');
    LEGEND_STATES(:,9) = strpad('c8 in component cs (nanomolar)');
    LEGEND_STATES(:,10) = strpad('c9 in component cs (nanomolar)');
    LEGEND_STATES(:,11) = strpad('c10 in component cs (nanomolar)');
    LEGEND_STATES(:,12) = strpad('c11 in component cs (nanomolar)');
    LEGEND_STATES(:,13) = strpad('c12 in component cs (nanomolar)');
    LEGEND_STATES(:,14) = strpad('c13 in component cs (nanomolar)');
    LEGEND_STATES(:,15) = strpad('c14 in component cs (nanomolar)');
    LEGEND_STATES(:,16) = strpad('c15 in component cs (nanomolar)');
    LEGEND_STATES(:,17) = strpad('c16 in component cs (nanomolar)');
    LEGEND_STATES(:,18) = strpad('c17 in component cs (nanomolar)');
    LEGEND_STATES(:,19) = strpad('c18 in component cs (nanomolar)');
    LEGEND_STATES(:,20) = strpad('c19 in component cs (nanomolar)');
    LEGEND_STATES(:,21) = strpad('c20 in component cs (nanomolar)');
    LEGEND_STATES(:,22) = strpad('c21 in component cs (nanomolar)');
    LEGEND_STATES(:,23) = strpad('c22 in component cs (nanomolar)');
    LEGEND_STATES(:,24) = strpad('c23 in component cs (nanomolar)');
    LEGEND_STATES(:,25) = strpad('c24 in component cs (nanomolar)');
    LEGEND_STATES(:,26) = strpad('c25 in component cs (nanomolar)');
    LEGEND_STATES(:,27) = strpad('c26 in component cs (nanomolar)');
    LEGEND_STATES(:,28) = strpad('c27 in component cs (nanomolar)');
    LEGEND_STATES(:,29) = strpad('c28 in component cs (nanomolar)');
    LEGEND_STATES(:,30) = strpad('c29 in component cs (nanomolar)');
    LEGEND_STATES(:,31) = strpad('c30 in component cs (nanomolar)');
    LEGEND_STATES(:,32) = strpad('c31 in component cs (nanomolar)');
    LEGEND_RATES(:,1) = strpad('d/dt R_NOS2 in component cs (nanomolar)');
    LEGEND_RATES(:,2) = strpad('d/dt c1 in component cs (nanomolar)');
    LEGEND_RATES(:,3) = strpad('d/dt c2 in component cs (nanomolar)');
    LEGEND_RATES(:,4) = strpad('d/dt c3 in component cs (nanomolar)');
    LEGEND_RATES(:,5) = strpad('d/dt c4 in component cs (nanomolar)');
    LEGEND_RATES(:,6) = strpad('d/dt c5 in component cs (nanomolar)');
    LEGEND_RATES(:,7) = strpad('d/dt c6 in component cs (nanomolar)');
    LEGEND_RATES(:,8) = strpad('d/dt c7 in component cs (nanomolar)');
    LEGEND_RATES(:,9) = strpad('d/dt c8 in component cs (nanomolar)');
    LEGEND_RATES(:,10) = strpad('d/dt c9 in component cs (nanomolar)');
    LEGEND_RATES(:,11) = strpad('d/dt c10 in component cs (nanomolar)');
    LEGEND_RATES(:,12) = strpad('d/dt c11 in component cs (nanomolar)');
    LEGEND_RATES(:,13) = strpad('d/dt c12 in component cs (nanomolar)');
    LEGEND_RATES(:,14) = strpad('d/dt c13 in component cs (nanomolar)');
    LEGEND_RATES(:,15) = strpad('d/dt c14 in component cs (nanomolar)');
    LEGEND_RATES(:,16) = strpad('d/dt c15 in component cs (nanomolar)');
    LEGEND_RATES(:,17) = strpad('d/dt c16 in component cs (nanomolar)');
    LEGEND_RATES(:,18) = strpad('d/dt c17 in component cs (nanomolar)');
    LEGEND_RATES(:,19) = strpad('d/dt c18 in component cs (nanomolar)');
    LEGEND_RATES(:,20) = strpad('d/dt c19 in component cs (nanomolar)');
    LEGEND_RATES(:,21) = strpad('d/dt c20 in component cs (nanomolar)');
    LEGEND_RATES(:,22) = strpad('d/dt c21 in component cs (nanomolar)');
    LEGEND_RATES(:,23) = strpad('d/dt c22 in component cs (nanomolar)');
    LEGEND_RATES(:,24) = strpad('d/dt c23 in component cs (nanomolar)');
    LEGEND_RATES(:,25) = strpad('d/dt c24 in component cs (nanomolar)');
    LEGEND_RATES(:,26) = strpad('d/dt c25 in component cs (nanomolar)');
    LEGEND_RATES(:,27) = strpad('d/dt c26 in component cs (nanomolar)');
    LEGEND_RATES(:,28) = strpad('d/dt c27 in component cs (nanomolar)');
    LEGEND_RATES(:,29) = strpad('d/dt c28 in component cs (nanomolar)');
    LEGEND_RATES(:,30) = strpad('d/dt c29 in component cs (nanomolar)');
    LEGEND_RATES(:,31) = strpad('d/dt c30 in component cs (nanomolar)');
    LEGEND_RATES(:,32) = strpad('d/dt c31 in component cs (nanomolar)');
    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) = 185e-6;
    CONSTANTS(:,2) = 1.25e-6;
    CONSTANTS(:,3) = 185e-6;
    CONSTANTS(:,4) = 1.25e-6;
    CONSTANTS(:,5) = 185e-6;
    CONSTANTS(:,6) = 1.25e-6;
    CONSTANTS(:,7) = 185e-6;
    CONSTANTS(:,8) = 1.25e-6;
    CONSTANTS(:,9) = 185e-6;
    CONSTANTS(:,10) = 1.25e-6;
    CONSTANTS(:,11) = 370e-6;
    CONSTANTS(:,12) = 14e-6;
    CONSTANTS(:,13) = 1.25e-6;
    CONSTANTS(:,14) = 370e-6;
    CONSTANTS(:,15) = 1750e-6;
    CONSTANTS(:,16) = 185e-6;
    CONSTANTS(:,17) = 1.25e-6;
    CONSTANTS(:,18) = 370e-6;
    CONSTANTS(:,19) = 500e-6;
    CONSTANTS(:,20) = 200e-6;
    CONSTANTS(:,21) = 100e-6;
    CONSTANTS(:,22) = 100e-6;
    CONSTANTS(:,23) = 60e-6;
    CONSTANTS(:,24) = 100000e-6;
    CONSTANTS(:,25) = 185e-6;
    CONSTANTS(:,26) = 1.25e-6;
    CONSTANTS(:,27) = 370e-6;
    CONSTANTS(:,28) = 500e-6;
    CONSTANTS(:,29) = 750000e-6;
    CONSTANTS(:,30) = 2.83e-4;
    CONSTANTS(:,31) = 41.6;
    CONSTANTS(:,32) = 10e5;
    STATES(:,1) = 0.616;
    STATES(:,2) = 0;
    STATES(:,3) = 100;
    STATES(:,4) = 0;
    STATES(:,5) = 150;
    STATES(:,6) = 0;
    STATES(:,7) = 100;
    STATES(:,8) = 0;
    STATES(:,9) = 100;
    STATES(:,10) = 0;
    STATES(:,11) = 100;
    STATES(:,12) = 0;
    STATES(:,13) = 0;
    STATES(:,14) = 250;
    STATES(:,15) = 0;
    STATES(:,16) = 0;
    STATES(:,17) = 0;
    STATES(:,18) = 100;
    STATES(:,19) = 0;
    STATES(:,20) = 0;
    STATES(:,21) = 80;
    STATES(:,22) = 0;
    STATES(:,23) = 0;
    STATES(:,24) = 200;
    STATES(:,25) = 0;
    STATES(:,26) = 0;
    STATES(:,27) = 0;
    STATES(:,28) = 0;
    STATES(:,29) = 0;
    STATES(:,30) = 800;
    STATES(:,31) = 0;
    STATES(:,32) = 0;
    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(:,1).*STATES(:,2).*STATES(:,3) -  CONSTANTS(:,2).*STATES(:,4);
    RATES(:,2) =  - ALGEBRAIC(:,1);
    ALGEBRAIC(:,2) = ( CONSTANTS(:,31).*power(STATES(:,17), 2.00000))./(CONSTANTS(:,32)+power(STATES(:,17), 2.00000));
    ALGEBRAIC(:,4) =  CONSTANTS(:,30).*STATES(:,1);
    RATES(:,1) = ALGEBRAIC(:,2) - ALGEBRAIC(:,4);
    ALGEBRAIC(:,3) =  CONSTANTS(:,3).*STATES(:,4).*STATES(:,5) -  CONSTANTS(:,4).*STATES(:,6);
    RATES(:,4) = ALGEBRAIC(:,1) - ALGEBRAIC(:,3);
    ALGEBRAIC(:,5) =  CONSTANTS(:,5).*STATES(:,6).*STATES(:,7) -  CONSTANTS(:,6).*STATES(:,8);
    RATES(:,6) = ALGEBRAIC(:,3) - ALGEBRAIC(:,5);
    ALGEBRAIC(:,6) =  CONSTANTS(:,7).*STATES(:,8).*STATES(:,9) -  CONSTANTS(:,8).*STATES(:,10);
    RATES(:,8) = ALGEBRAIC(:,5) - ALGEBRAIC(:,6);
    ALGEBRAIC(:,7) =  CONSTANTS(:,9).*STATES(:,11).*STATES(:,10) -  CONSTANTS(:,10).*STATES(:,12);
    ALGEBRAIC(:,8) =  CONSTANTS(:,11).*STATES(:,12);
    RATES(:,12) = ALGEBRAIC(:,7) - ALGEBRAIC(:,8);
    ALGEBRAIC(:,9) =  CONSTANTS(:,12).*STATES(:,13).*STATES(:,14) -  CONSTANTS(:,13).*STATES(:,15);
    RATES(:,13) =  - ALGEBRAIC(:,9)+ALGEBRAIC(:,8);
    ALGEBRAIC(:,10) =  CONSTANTS(:,14).*STATES(:,15);
    RATES(:,11) =  - ALGEBRAIC(:,7)+ALGEBRAIC(:,10);
    RATES(:,15) = ALGEBRAIC(:,9) - ALGEBRAIC(:,10);
    RATES(:,16) = ALGEBRAIC(:,10);
    ALGEBRAIC(:,11) =  CONSTANTS(:,16).*STATES(:,10).*STATES(:,18) -  CONSTANTS(:,17).*STATES(:,19);
    RATES(:,10) = (ALGEBRAIC(:,6) - ALGEBRAIC(:,7)) - ALGEBRAIC(:,11);
    ALGEBRAIC(:,12) =  CONSTANTS(:,18).*STATES(:,19);
    RATES(:,3) =  - ALGEBRAIC(:,1)+ALGEBRAIC(:,12)+ALGEBRAIC(:,8);
    RATES(:,19) = ALGEBRAIC(:,11) - ALGEBRAIC(:,12);
    ALGEBRAIC(:,13) =  CONSTANTS(:,19).*STATES(:,20).*STATES(:,21) -  CONSTANTS(:,20).*STATES(:,22);
    RATES(:,20) = ALGEBRAIC(:,12) - ALGEBRAIC(:,13);
    RATES(:,21) =  - ALGEBRAIC(:,13);
    ALGEBRAIC(:,14) =  CONSTANTS(:,21).*STATES(:,22);
    RATES(:,5) =  - ALGEBRAIC(:,3)+ALGEBRAIC(:,8)+ALGEBRAIC(:,14);
    RATES(:,7) =  - ALGEBRAIC(:,5)+ALGEBRAIC(:,8)+ALGEBRAIC(:,14);
    RATES(:,9) =  - ALGEBRAIC(:,6)+ALGEBRAIC(:,8)+ALGEBRAIC(:,14);
    RATES(:,18) =  - ALGEBRAIC(:,11)+ALGEBRAIC(:,14);
    RATES(:,22) = ALGEBRAIC(:,13) - ALGEBRAIC(:,14);
    ALGEBRAIC(:,15) =  CONSTANTS(:,22).*STATES(:,23).*STATES(:,24) -  CONSTANTS(:,23).*STATES(:,25);
    RATES(:,24) =  - ALGEBRAIC(:,15);
    ALGEBRAIC(:,16) =  CONSTANTS(:,24).*STATES(:,25);
    RATES(:,23) = (ALGEBRAIC(:,14) - ALGEBRAIC(:,15))+ALGEBRAIC(:,16);
    RATES(:,25) = ALGEBRAIC(:,15) - ALGEBRAIC(:,16);
    ALGEBRAIC(:,17) =  CONSTANTS(:,25).*STATES(:,26).*STATES(:,30) -  CONSTANTS(:,26).*STATES(:,31);
    RATES(:,30) =  - ALGEBRAIC(:,17);
    ALGEBRAIC(:,18) =  CONSTANTS(:,27).*STATES(:,31);
    RATES(:,27) = ALGEBRAIC(:,18);
    RATES(:,31) = ALGEBRAIC(:,17) - ALGEBRAIC(:,18);
    ALGEBRAIC(:,21) =  CONSTANTS(:,29).*STATES(:,17).*STATES(:,32);
    RATES(:,14) =  - ALGEBRAIC(:,9)+ALGEBRAIC(:,21);
    RATES(:,17) = ALGEBRAIC(:,10) - ALGEBRAIC(:,21);
    ALGEBRAIC(:,20) =  CONSTANTS(:,28).*STATES(:,28).*STATES(:,26);
    RATES(:,26) = ((ALGEBRAIC(:,16) - ALGEBRAIC(:,20)) - ALGEBRAIC(:,17))+ALGEBRAIC(:,18);
    ALGEBRAIC(:,19) =  CONSTANTS(:,15).*STATES(:,17);
    RATES(:,28) = ALGEBRAIC(:,19) - ALGEBRAIC(:,20);
    RATES(:,29) = ALGEBRAIC(:,20);
    RATES(:,32) = ALGEBRAIC(:,19) - ALGEBRAIC(:,21);
   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(:,1).*STATES(:,2).*STATES(:,3) -  CONSTANTS(:,2).*STATES(:,4);
    ALGEBRAIC(:,2) = ( CONSTANTS(:,31).*power(STATES(:,17), 2.00000))./(CONSTANTS(:,32)+power(STATES(:,17), 2.00000));
    ALGEBRAIC(:,4) =  CONSTANTS(:,30).*STATES(:,1);
    ALGEBRAIC(:,3) =  CONSTANTS(:,3).*STATES(:,4).*STATES(:,5) -  CONSTANTS(:,4).*STATES(:,6);
    ALGEBRAIC(:,5) =  CONSTANTS(:,5).*STATES(:,6).*STATES(:,7) -  CONSTANTS(:,6).*STATES(:,8);
    ALGEBRAIC(:,6) =  CONSTANTS(:,7).*STATES(:,8).*STATES(:,9) -  CONSTANTS(:,8).*STATES(:,10);
    ALGEBRAIC(:,7) =  CONSTANTS(:,9).*STATES(:,11).*STATES(:,10) -  CONSTANTS(:,10).*STATES(:,12);
    ALGEBRAIC(:,8) =  CONSTANTS(:,11).*STATES(:,12);
    ALGEBRAIC(:,9) =  CONSTANTS(:,12).*STATES(:,13).*STATES(:,14) -  CONSTANTS(:,13).*STATES(:,15);
    ALGEBRAIC(:,10) =  CONSTANTS(:,14).*STATES(:,15);
    ALGEBRAIC(:,11) =  CONSTANTS(:,16).*STATES(:,10).*STATES(:,18) -  CONSTANTS(:,17).*STATES(:,19);
    ALGEBRAIC(:,12) =  CONSTANTS(:,18).*STATES(:,19);
    ALGEBRAIC(:,13) =  CONSTANTS(:,19).*STATES(:,20).*STATES(:,21) -  CONSTANTS(:,20).*STATES(:,22);
    ALGEBRAIC(:,14) =  CONSTANTS(:,21).*STATES(:,22);
    ALGEBRAIC(:,15) =  CONSTANTS(:,22).*STATES(:,23).*STATES(:,24) -  CONSTANTS(:,23).*STATES(:,25);
    ALGEBRAIC(:,16) =  CONSTANTS(:,24).*STATES(:,25);
    ALGEBRAIC(:,17) =  CONSTANTS(:,25).*STATES(:,26).*STATES(:,30) -  CONSTANTS(:,26).*STATES(:,31);
    ALGEBRAIC(:,18) =  CONSTANTS(:,27).*STATES(:,31);
    ALGEBRAIC(:,21) =  CONSTANTS(:,29).*STATES(:,17).*STATES(:,32);
    ALGEBRAIC(:,20) =  CONSTANTS(:,28).*STATES(:,28).*STATES(:,26);
    ALGEBRAIC(:,19) =  CONSTANTS(:,15).*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