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 8 entries in each of the rate and state variable arrays.
% There are a total of 46 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('volume_i0 in component volume_i (volume)');
    LEGEND_CONSTANTS(:,44) = strpad('volume_i in component volume_i (volume)');
    LEGEND_CONSTANTS(:,2) = strpad('gamma in component volume_er (dimensionless)');
    LEGEND_CONSTANTS(:,45) = strpad('volume_er in component volume_er (volume)');
    LEGEND_STATES(:,1) = strpad('volumeCa_i in component volumeCa_i (microMVolume)');
    LEGEND_ALGEBRAIC(:,14) = strpad('Jipt in component Jipt (microMvolumepersec)');
    LEGEND_ALGEBRAIC(:,16) = strpad('Jryr in component Jryr (microMvolumepersec)');
    LEGEND_ALGEBRAIC(:,18) = strpad('Jer in component Jer (microMvolumepersec)');
    LEGEND_ALGEBRAIC(:,19) = strpad('Jserca in component Jserca (microMvolumepersec)');
    LEGEND_ALGEBRAIC(:,25) = strpad('Jin in component Jin (microMvolumepersec)');
    LEGEND_ALGEBRAIC(:,26) = strpad('Jpm in component Jpm (microMvolumepersec)');
    LEGEND_ALGEBRAIC(:,1) = strpad('Ca_i in component Ca_i (microM)');
    LEGEND_STATES(:,2) = strpad('volumeCa_er in component volumeCa_er (microMVolume)');
    LEGEND_ALGEBRAIC(:,4) = strpad('Ca_er in component Ca_er (microM)');
    LEGEND_STATES(:,3) = strpad('volume_iIP3 in component volume_iIP3 (microMVolume)');
    LEGEND_ALGEBRAIC(:,13) = strpad('J_ip3P in component J_ip3P (microMpersec)');
    LEGEND_ALGEBRAIC(:,17) = strpad('J_ip3D in component J_ip3D (microMpersec)');
    LEGEND_ALGEBRAIC(:,2) = strpad('IP3 in component IP3 (microM)');
    LEGEND_STATES(:,4) = strpad('PIP2 in component PIP2 (dimensionless)');
    LEGEND_CONSTANTS(:,3) = strpad('PIP2_Total in component PIP2 (microM)');
    LEGEND_CONSTANTS(:,46) = strpad('J_ip3R in component J_ip3R (per_sec)');
    LEGEND_ALGEBRAIC(:,5) = strpad('IPX in component IPX (dimensionless)');
    LEGEND_CONSTANTS(:,4) = strpad('PIP2_Total in component IPX (microM)');
    LEGEND_CONSTANTS(:,5) = strpad('J_ip3R0 in component J_ip3R (per_sec)');
    LEGEND_STATES(:,5) = strpad('ATP_e in component receptor (microM)');
    LEGEND_ALGEBRAIC(:,10) = strpad('V_IP3 in component receptor (microMpersec)');
    LEGEND_CONSTANTS(:,6) = strpad('MechanicalStimulation in component receptor (dimensionless)');
    LEGEND_ALGEBRAIC(:,7) = strpad('V_mech in component receptor (dimensionless)');
    LEGEND_CONSTANTS(:,7) = strpad('V_mech0 in component receptor (dimensionless)');
    LEGEND_CONSTANTS(:,8) = strpad('C_1 in component receptor (microMpersec)');
    LEGEND_CONSTANTS(:,9) = strpad('C_2 in component receptor (microM)');
    LEGEND_CONSTANTS(:,10) = strpad('C_3 in component receptor (microMpersec)');
    LEGEND_CONSTANTS(:,11) = strpad('C_4 in component receptor (microM)');
    LEGEND_CONSTANTS(:,12) = strpad('V_ATP in component receptor (microMpersec)');
    LEGEND_CONSTANTS(:,13) = strpad('K_ATP in component receptor (microM)');
    LEGEND_CONSTANTS(:,14) = strpad('Beta_1 in component J_ip3D (microMpersec)');
    LEGEND_CONSTANTS(:,15) = strpad('Beta_2 in component J_ip3D (microMpersec)');
    LEGEND_ALGEBRAIC(:,15) = strpad('F_Ca in component J_ip3D (dimensionless)');
    LEGEND_CONSTANTS(:,16) = strpad('K_rc in component J_ip3D (microM)');
    LEGEND_CONSTANTS(:,17) = strpad('K_IP3 in component J_ip3D (microM)');
    LEGEND_ALGEBRAIC(:,11) = strpad('Pipt in component Jipt (dimensionless)');
    LEGEND_STATES(:,6) = strpad('O in component O (dimensionless)');
    LEGEND_CONSTANTS(:,18) = strpad('Jipt0 in component Jipt (per_sec)');
    LEGEND_CONSTANTS(:,19) = strpad('Ka in component Jryr (microM)');
    LEGEND_CONSTANTS(:,20) = strpad('Kb in component Jryr (microM)');
    LEGEND_CONSTANTS(:,21) = strpad('Kc in component Jryr (dimensionless)');
    LEGEND_CONSTANTS(:,22) = strpad('Jryr0 in component Jryr (per_sec)');
    LEGEND_ALGEBRAIC(:,6) = strpad('Pryr in component Jryr (dimensionless)');
    LEGEND_ALGEBRAIC(:,3) = strpad('W_inf in component Jryr (dimensionless)');
    LEGEND_CONSTANTS(:,23) = strpad('Jer0 in component Jer (per_sec)');
    LEGEND_CONSTANTS(:,24) = strpad('Vserca in component Jserca (microM2persec)');
    LEGEND_CONSTANTS(:,25) = strpad('Kserca in component Jserca (microM)');
    LEGEND_CONSTANTS(:,26) = strpad('Vm in component Jin (milliV)');
    LEGEND_ALGEBRAIC(:,20) = strpad('V_Ca in component Jin (milliV)');
    LEGEND_CONSTANTS(:,27) = strpad('R in component Jin (millijoule_per_mole_kelvin)');
    LEGEND_CONSTANTS(:,28) = strpad('T in component Jin (kelvin)');
    LEGEND_CONSTANTS(:,29) = strpad('F in component Jin (coulomb_per_mole)');
    LEGEND_CONSTANTS(:,30) = strpad('z_Ca in component Jin (dimensionless)');
    LEGEND_CONSTANTS(:,31) = strpad('Ca_ext in component Jin (microM)');
    LEGEND_CONSTANTS(:,32) = strpad('P_pm_1 in component Jin (conductancepervolume)');
    LEGEND_CONSTANTS(:,33) = strpad('P_pm_2 in component Jin (conductancepervolume)');
    LEGEND_ALGEBRAIC(:,21) = strpad('Iin_1 in component Jin (current)');
    LEGEND_ALGEBRAIC(:,22) = strpad('Iin_2 in component Jin (current)');
    LEGEND_ALGEBRAIC(:,23) = strpad('Jin_1 in component Jin (microMvolumepersec)');
    LEGEND_ALGEBRAIC(:,24) = strpad('Jin_2 in component Jin (microMvolumepersec)');
    LEGEND_CONSTANTS(:,34) = strpad('Vpm in component Jpm (microMpersec)');
    LEGEND_CONSTANTS(:,35) = strpad('Kpm in component Jpm (microM)');
    LEGEND_ALGEBRAIC(:,8) = strpad('S in component O (dimensionless)');
    LEGEND_STATES(:,7) = strpad('I1 in component I1 (dimensionless)');
    LEGEND_STATES(:,8) = strpad('I2 in component I2 (dimensionless)');
    LEGEND_ALGEBRAIC(:,12) = strpad('k1 in component constants (per_secmicroM)');
    LEGEND_CONSTANTS(:,36) = strpad('k1_ in component constants (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,37) = strpad('k2 in component constants (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,38) = strpad('k3 in component constants (first_order_rate_constant)');
    LEGEND_ALGEBRAIC(:,9) = strpad('k4 in component constants (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,39) = strpad('k5 in component constants (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,40) = strpad('alpha_1 in component constants (per_secmicroM)');
    LEGEND_CONSTANTS(:,41) = strpad('beta_1 in component constants (microM)');
    LEGEND_CONSTANTS(:,42) = strpad('alpha_4 in component constants (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,43) = strpad('beta_4 in component constants (microM)');
    LEGEND_RATES(:,1) = strpad('d/dt volumeCa_i in component volumeCa_i (microMVolume)');
    LEGEND_RATES(:,2) = strpad('d/dt volumeCa_er in component volumeCa_er (microMVolume)');
    LEGEND_RATES(:,3) = strpad('d/dt volume_iIP3 in component volume_iIP3 (microMVolume)');
    LEGEND_RATES(:,4) = strpad('d/dt PIP2 in component PIP2 (dimensionless)');
    LEGEND_RATES(:,5) = strpad('d/dt ATP_e in component receptor (microM)');
    LEGEND_RATES(:,6) = strpad('d/dt O in component O (dimensionless)');
    LEGEND_RATES(:,7) = strpad('d/dt I1 in component I1 (dimensionless)');
    LEGEND_RATES(:,8) = strpad('d/dt I2 in component I2 (dimensionless)');
    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) = 1450;
    CONSTANTS(:,2) = 4.9;
    STATES(:,1) = 75.8335890358239;
    STATES(:,2) = 1199.73747802144;
    STATES(:,3) = -3.28287434380887e-93;
    STATES(:,4) = 1;
    CONSTANTS(:,3) = 5;
    CONSTANTS(:,4) = 25;
    CONSTANTS(:,5) = 10;
    STATES(:,5) = 0;
    CONSTANTS(:,6) = 0;
    CONSTANTS(:,7) = 1;
    CONSTANTS(:,8) = 2.6;
    CONSTANTS(:,9) = 0.02;
    CONSTANTS(:,10) = 2.3;
    CONSTANTS(:,11) = 10;
    CONSTANTS(:,12) = 0.001;
    CONSTANTS(:,13) = 0.0001;
    CONSTANTS(:,14) = 0;
    CONSTANTS(:,15) = 36;
    CONSTANTS(:,16) = 0.3;
    CONSTANTS(:,17) = 0.01;
    STATES(:,6) = -2.42013500345263e-89;
    CONSTANTS(:,18) = 28;
    CONSTANTS(:,19) = 0.3722419;
    CONSTANTS(:,20) = 0.636005;
    CONSTANTS(:,21) = 0.0571428;
    CONSTANTS(:,22) = 0;
    CONSTANTS(:,23) = 0.0035;
    CONSTANTS(:,24) = 0.09;
    CONSTANTS(:,25) = 0.04;
    CONSTANTS(:,26) = -39;
    CONSTANTS(:,27) = 8314;
    CONSTANTS(:,28) = 310;
    CONSTANTS(:,29) = 96485;
    CONSTANTS(:,30) = 2;
    CONSTANTS(:,31) = 1300;
    CONSTANTS(:,32) = 0.6;
    CONSTANTS(:,33) = 28;
    CONSTANTS(:,34) = 0.072;
    CONSTANTS(:,35) = 0.6;
    STATES(:,7) = 2.24343309680416e-81;
    STATES(:,8) = 1.01276768045278e-40;
    CONSTANTS(:,36) = 0.88;
    CONSTANTS(:,37) = 0.5;
    CONSTANTS(:,38) = 0.5;
    CONSTANTS(:,39) = 0.02;
    CONSTANTS(:,40) = 40;
    CONSTANTS(:,41) = 0.8;
    CONSTANTS(:,42) = 0.06;
    CONSTANTS(:,43) = 0.01;
    CONSTANTS(:,44) = CONSTANTS(:,1);
    CONSTANTS(:,45) = CONSTANTS(:,44)./CONSTANTS(:,2);
    CONSTANTS(:,46) = CONSTANTS(:,5);
    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(:,5) = (  - CONSTANTS(:,12).*STATES(:,5))./(CONSTANTS(:,13)+STATES(:,5));
    ALGEBRAIC(:,2) = STATES(:,3)./CONSTANTS(:,44);
    ALGEBRAIC(:,9) = ( CONSTANTS(:,42).*ALGEBRAIC(:,2))./(CONSTANTS(:,43)+ALGEBRAIC(:,2));
    RATES(:,7) =  CONSTANTS(:,37).*STATES(:,6) -  (CONSTANTS(:,38)+ALGEBRAIC(:,9)).*STATES(:,7);
    RATES(:,8) =  ALGEBRAIC(:,9).*STATES(:,7) -  CONSTANTS(:,39).*STATES(:,8);
    ALGEBRAIC(:,8) = 1.00000 - (STATES(:,6)+STATES(:,7)+STATES(:,8));
    ALGEBRAIC(:,1) = STATES(:,1)./CONSTANTS(:,44);
    ALGEBRAIC(:,12) = ( CONSTANTS(:,40).*power(ALGEBRAIC(:,1), 3.00000))./(power(CONSTANTS(:,41), 3.00000)+power(ALGEBRAIC(:,1), 3.00000));
    RATES(:,6) =  ALGEBRAIC(:,12).*ALGEBRAIC(:,2).*ALGEBRAIC(:,8) - ( CONSTANTS(:,36).*STATES(:,6)+ CONSTANTS(:,37).*STATES(:,6));
    ALGEBRAIC(:,10) = ( CONSTANTS(:,8).*STATES(:,5))./(CONSTANTS(:,9)+STATES(:,5))+( CONSTANTS(:,10).*power(STATES(:,5), 2.00000))./(power(CONSTANTS(:,11), 2.00000)+power(STATES(:,5), 2.00000));
    ALGEBRAIC(:,13) =  ALGEBRAIC(:,10).*STATES(:,4);
    ALGEBRAIC(:,5) = (1.00000 - ALGEBRAIC(:,2)./CONSTANTS(:,4)) - STATES(:,4);
    RATES(:,4) =  CONSTANTS(:,46).*ALGEBRAIC(:,5) - ALGEBRAIC(:,13)./CONSTANTS(:,3);
    ALGEBRAIC(:,15) = ALGEBRAIC(:,1)./(CONSTANTS(:,16)+ALGEBRAIC(:,1));
    ALGEBRAIC(:,17) = ( (CONSTANTS(:,14)+ CONSTANTS(:,15).*power(ALGEBRAIC(:,15), 2.00000)).*ALGEBRAIC(:,2))./(CONSTANTS(:,17)+ALGEBRAIC(:,2));
    RATES(:,3) =  (ALGEBRAIC(:,13) - ALGEBRAIC(:,17)).*CONSTANTS(:,44);
    ALGEBRAIC(:,4) = STATES(:,2)./CONSTANTS(:,45);
    ALGEBRAIC(:,11) = power(STATES(:,6), 4.00000);
    ALGEBRAIC(:,14) =  CONSTANTS(:,18).*CONSTANTS(:,1).*ALGEBRAIC(:,11).*(ALGEBRAIC(:,4) - ALGEBRAIC(:,1));
    ALGEBRAIC(:,16) =  CONSTANTS(:,22).*CONSTANTS(:,1).*(ALGEBRAIC(:,4) - ALGEBRAIC(:,1));
    ALGEBRAIC(:,18) =  CONSTANTS(:,23).*CONSTANTS(:,1).*(ALGEBRAIC(:,4) - ALGEBRAIC(:,1));
    ALGEBRAIC(:,19) = ( (( CONSTANTS(:,1).*CONSTANTS(:,24).*power(ALGEBRAIC(:,1), 2.00000))./(power(CONSTANTS(:,25), 2.00000)+power(ALGEBRAIC(:,1), 2.00000))).*1.00000)./ALGEBRAIC(:,4);
    RATES(:,2) =  - ((ALGEBRAIC(:,14)+ALGEBRAIC(:,16)+ALGEBRAIC(:,18)) - ALGEBRAIC(:,19));
    ALGEBRAIC(:,20) =  (( CONSTANTS(:,27).*CONSTANTS(:,28))./( CONSTANTS(:,30).*CONSTANTS(:,29))).*log(CONSTANTS(:,31)./ALGEBRAIC(:,1));
    ALGEBRAIC(:,21) =  CONSTANTS(:,1).*CONSTANTS(:,32).*(ALGEBRAIC(:,20) - CONSTANTS(:,26));
    ALGEBRAIC(:,23) = ALGEBRAIC(:,21)./( CONSTANTS(:,30).*CONSTANTS(:,29));
    ALGEBRAIC(:,7) = piecewise({VOI>10.0000&VOI<25.0000&CONSTANTS(:,6)>0.00000, CONSTANTS(:,7) }, 0.00000);
    ALGEBRAIC(:,22) =  CONSTANTS(:,1).*CONSTANTS(:,33).*ALGEBRAIC(:,7).*(ALGEBRAIC(:,20) - CONSTANTS(:,26));
    ALGEBRAIC(:,24) = ALGEBRAIC(:,22)./( CONSTANTS(:,30).*CONSTANTS(:,29));
    ALGEBRAIC(:,25) = ALGEBRAIC(:,23)+ALGEBRAIC(:,24);
    ALGEBRAIC(:,26) = ( CONSTANTS(:,34).*CONSTANTS(:,1).*power(ALGEBRAIC(:,1), 2.00000))./(power(CONSTANTS(:,35), 2.00000)+power(ALGEBRAIC(:,1), 2.00000));
    RATES(:,1) = ((ALGEBRAIC(:,14)+ALGEBRAIC(:,16)+ALGEBRAIC(:,18)) - ALGEBRAIC(:,19))+(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(:,2) = STATES(:,3)./CONSTANTS(:,44);
    ALGEBRAIC(:,9) = ( CONSTANTS(:,42).*ALGEBRAIC(:,2))./(CONSTANTS(:,43)+ALGEBRAIC(:,2));
    ALGEBRAIC(:,8) = 1.00000 - (STATES(:,6)+STATES(:,7)+STATES(:,8));
    ALGEBRAIC(:,1) = STATES(:,1)./CONSTANTS(:,44);
    ALGEBRAIC(:,12) = ( CONSTANTS(:,40).*power(ALGEBRAIC(:,1), 3.00000))./(power(CONSTANTS(:,41), 3.00000)+power(ALGEBRAIC(:,1), 3.00000));
    ALGEBRAIC(:,10) = ( CONSTANTS(:,8).*STATES(:,5))./(CONSTANTS(:,9)+STATES(:,5))+( CONSTANTS(:,10).*power(STATES(:,5), 2.00000))./(power(CONSTANTS(:,11), 2.00000)+power(STATES(:,5), 2.00000));
    ALGEBRAIC(:,13) =  ALGEBRAIC(:,10).*STATES(:,4);
    ALGEBRAIC(:,5) = (1.00000 - ALGEBRAIC(:,2)./CONSTANTS(:,4)) - STATES(:,4);
    ALGEBRAIC(:,15) = ALGEBRAIC(:,1)./(CONSTANTS(:,16)+ALGEBRAIC(:,1));
    ALGEBRAIC(:,17) = ( (CONSTANTS(:,14)+ CONSTANTS(:,15).*power(ALGEBRAIC(:,15), 2.00000)).*ALGEBRAIC(:,2))./(CONSTANTS(:,17)+ALGEBRAIC(:,2));
    ALGEBRAIC(:,4) = STATES(:,2)./CONSTANTS(:,45);
    ALGEBRAIC(:,11) = power(STATES(:,6), 4.00000);
    ALGEBRAIC(:,14) =  CONSTANTS(:,18).*CONSTANTS(:,1).*ALGEBRAIC(:,11).*(ALGEBRAIC(:,4) - ALGEBRAIC(:,1));
    ALGEBRAIC(:,16) =  CONSTANTS(:,22).*CONSTANTS(:,1).*(ALGEBRAIC(:,4) - ALGEBRAIC(:,1));
    ALGEBRAIC(:,18) =  CONSTANTS(:,23).*CONSTANTS(:,1).*(ALGEBRAIC(:,4) - ALGEBRAIC(:,1));
    ALGEBRAIC(:,19) = ( (( CONSTANTS(:,1).*CONSTANTS(:,24).*power(ALGEBRAIC(:,1), 2.00000))./(power(CONSTANTS(:,25), 2.00000)+power(ALGEBRAIC(:,1), 2.00000))).*1.00000)./ALGEBRAIC(:,4);
    ALGEBRAIC(:,20) =  (( CONSTANTS(:,27).*CONSTANTS(:,28))./( CONSTANTS(:,30).*CONSTANTS(:,29))).*log(CONSTANTS(:,31)./ALGEBRAIC(:,1));
    ALGEBRAIC(:,21) =  CONSTANTS(:,1).*CONSTANTS(:,32).*(ALGEBRAIC(:,20) - CONSTANTS(:,26));
    ALGEBRAIC(:,23) = ALGEBRAIC(:,21)./( CONSTANTS(:,30).*CONSTANTS(:,29));
    ALGEBRAIC(:,7) = piecewise({VOI>10.0000&VOI<25.0000&CONSTANTS(:,6)>0.00000, CONSTANTS(:,7) }, 0.00000);
    ALGEBRAIC(:,22) =  CONSTANTS(:,1).*CONSTANTS(:,33).*ALGEBRAIC(:,7).*(ALGEBRAIC(:,20) - CONSTANTS(:,26));
    ALGEBRAIC(:,24) = ALGEBRAIC(:,22)./( CONSTANTS(:,30).*CONSTANTS(:,29));
    ALGEBRAIC(:,25) = ALGEBRAIC(:,23)+ALGEBRAIC(:,24);
    ALGEBRAIC(:,26) = ( CONSTANTS(:,34).*CONSTANTS(:,1).*power(ALGEBRAIC(:,1), 2.00000))./(power(CONSTANTS(:,35), 2.00000)+power(ALGEBRAIC(:,1), 2.00000));
    ALGEBRAIC(:,3) = (1.00000+power(CONSTANTS(:,19)./ALGEBRAIC(:,1), 4.00000)+power(ALGEBRAIC(:,1)./CONSTANTS(:,20), 3.00000))./(1.00000+1.00000./CONSTANTS(:,21)+power(ALGEBRAIC(:,1)./CONSTANTS(:,20), 3.00000)+power(CONSTANTS(:,19)./ALGEBRAIC(:,1), 4.00000));
    ALGEBRAIC(:,6) = ( ALGEBRAIC(:,3).*(1.00000+power(CONSTANTS(:,19)./ALGEBRAIC(:,1), 4.00000)+power(ALGEBRAIC(:,1)./CONSTANTS(:,20), 3.00000)))./(1.00000+1.00000./CONSTANTS(:,21)+power(ALGEBRAIC(:,1)./CONSTANTS(:,20), 3.00000)+power(CONSTANTS(:,19)./ALGEBRAIC(:,1), 4.00000));
end

% Compute result of a piecewise function
function x = piecewise(cases, default)
    set = [0];
    for i = 1:2:length(cases)
        if (length(cases{i+1}) == 1)
            x(cases{i} & ~set,:) = cases{i+1};
        else
            x(cases{i} & ~set,:) = cases{i+1}(cases{i} & ~set);
        end
        set = set | cases{i};
        if(set), break, end
    end
    if (length(default) == 1)
        x(~set,:) = default;
    else
        x(~set,:) = default(~set);
    end
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