Generated Code

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 =3;
end
% There are a total of 10 entries in each of the rate and state variable arrays.
% There are a total of 2 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_CONSTANTS(:,1) = strpad('p in component jung_10_lesions (per_sec)');
    LEGEND_CONSTANTS(:,2) = strpad('c in component jung_10_lesions (per_sec)');
    LEGEND_STATES(:,1) = strpad('P0 in component jung_10_lesions (conc)');
    LEGEND_STATES(:,2) = strpad('P1 in component jung_10_lesions (conc)');
    LEGEND_STATES(:,3) = strpad('P2 in component jung_10_lesions (conc)');
    LEGEND_STATES(:,4) = strpad('P3 in component jung_10_lesions (conc)');
    LEGEND_STATES(:,5) = strpad('P4 in component jung_10_lesions (conc)');
    LEGEND_STATES(:,6) = strpad('P5 in component jung_10_lesions (conc)');
    LEGEND_STATES(:,7) = strpad('P6 in component jung_10_lesions (conc)');
    LEGEND_STATES(:,8) = strpad('P7 in component jung_10_lesions (conc)');
    LEGEND_STATES(:,9) = strpad('P8 in component jung_10_lesions (conc)');
    LEGEND_STATES(:,10) = strpad('P9 in component jung_10_lesions (conc)');
    LEGEND_VOI = strpad('time in component jung_10_lesions (second)');
    LEGEND_ALGEBRAIC(:,1) = strpad('A in component jung_10_lesions (conc)');
    LEGEND_ALGEBRAIC(:,2) = strpad('D in component jung_10_lesions (conc)');
    LEGEND_ALGEBRAIC(:,3) = strpad('S in component jung_10_lesions (conc)');
    LEGEND_RATES(:,1) = strpad('d/dt P0 in component jung_10_lesions (conc)');
    LEGEND_RATES(:,2) = strpad('d/dt P1 in component jung_10_lesions (conc)');
    LEGEND_RATES(:,3) = strpad('d/dt P2 in component jung_10_lesions (conc)');
    LEGEND_RATES(:,4) = strpad('d/dt P3 in component jung_10_lesions (conc)');
    LEGEND_RATES(:,5) = strpad('d/dt P4 in component jung_10_lesions (conc)');
    LEGEND_RATES(:,6) = strpad('d/dt P5 in component jung_10_lesions (conc)');
    LEGEND_RATES(:,7) = strpad('d/dt P6 in component jung_10_lesions (conc)');
    LEGEND_RATES(:,8) = strpad('d/dt P7 in component jung_10_lesions (conc)');
    LEGEND_RATES(:,9) = strpad('d/dt P8 in component jung_10_lesions (conc)');
    LEGEND_RATES(:,10) = strpad('d/dt P9 in component jung_10_lesions (conc)');
    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;
    STATES(:,1) = 1;
    STATES(:,2) = 0;
    STATES(:,3) = 0;
    STATES(:,4) = 0;
    STATES(:,5) = 0;
    STATES(:,6) = 0;
    STATES(:,7) = 0;
    STATES(:,8) = 0;
    STATES(:,9) = 0;
    STATES(:,10) = 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
    RATES(:,1) =   - CONSTANTS(:,1).*STATES(:,1);
    RATES(:,2) = ( CONSTANTS(:,1).*STATES(:,1) -  CONSTANTS(:,1).*STATES(:,2)) -  CONSTANTS(:,2).*STATES(:,2);
    RATES(:,3) = ( CONSTANTS(:,1).*STATES(:,2) -  CONSTANTS(:,1).*STATES(:,3)) -  2.00000.*CONSTANTS(:,2).*STATES(:,3);
    RATES(:,4) = ( CONSTANTS(:,1).*STATES(:,3) -  CONSTANTS(:,1).*STATES(:,4)) -  3.00000.*CONSTANTS(:,2).*STATES(:,4);
    RATES(:,5) = ( CONSTANTS(:,1).*STATES(:,4) -  CONSTANTS(:,1).*STATES(:,5)) -  4.00000.*CONSTANTS(:,2).*STATES(:,5);
    RATES(:,6) = ( CONSTANTS(:,1).*STATES(:,5) -  CONSTANTS(:,1).*STATES(:,6)) -  5.00000.*CONSTANTS(:,2).*STATES(:,6);
    RATES(:,7) = ( CONSTANTS(:,1).*STATES(:,6) -  CONSTANTS(:,1).*STATES(:,7)) -  6.00000.*CONSTANTS(:,2).*STATES(:,7);
    RATES(:,8) = ( CONSTANTS(:,1).*STATES(:,7) -  CONSTANTS(:,1).*STATES(:,8)) -  7.00000.*CONSTANTS(:,2).*STATES(:,8);
    RATES(:,9) = ( CONSTANTS(:,1).*STATES(:,8) -  CONSTANTS(:,1).*STATES(:,9)) -  8.00000.*CONSTANTS(:,2).*STATES(:,9);
    RATES(:,10) = ( CONSTANTS(:,1).*STATES(:,9) -  CONSTANTS(:,1).*STATES(:,10)) -  9.00000.*CONSTANTS(:,2).*STATES(:,10);
   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) = STATES(:,1)+STATES(:,2)+STATES(:,3)+STATES(:,4)+STATES(:,5)+STATES(:,6)+STATES(:,7)+STATES(:,8)+STATES(:,9)+STATES(:,10);
    ALGEBRAIC(:,2) = 1.00000 - (STATES(:,1)+STATES(:,2)+STATES(:,3)+STATES(:,4)+STATES(:,5)+STATES(:,6)+STATES(:,7)+STATES(:,8)+STATES(:,9)+STATES(:,10));
    ALGEBRAIC(:,3) =  1.00000.*exp( (CONSTANTS(:,1)./CONSTANTS(:,2)).*((1.00000 -  CONSTANTS(:,2).*VOI) - exp( - ( CONSTANTS(:,2).*VOI))));
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