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 =29;
end
% There are a total of 9 entries in each of the rate and state variable arrays.
% There are a total of 45 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 (millisecond)');
    LEGEND_CONSTANTS(:,1) = strpad('RT in component parameters (joule_per_mole)');
    LEGEND_STATES(:,1) = strpad('V_m in component membrane (millivolt)');
    LEGEND_CONSTANTS(:,2) = strpad('C_m in component membrane (picofarad)');
    LEGEND_ALGEBRAIC(:,17) = strpad('I_Na in component I_Na (picoampere)');
    LEGEND_ALGEBRAIC(:,19) = strpad('I_T in component I_T (picoampere)');
    LEGEND_ALGEBRAIC(:,21) = strpad('I_KCa in component I_KCa (picoampere)');
    LEGEND_ALGEBRAIC(:,26) = strpad('I_Ca in component I_Ca (picoampere)');
    LEGEND_ALGEBRAIC(:,27) = strpad('I_L in component I_L (picoampere)');
    LEGEND_ALGEBRAIC(:,29) = strpad('I_K in component I_K (picoampere)');
    LEGEND_ALGEBRAIC(:,14) = strpad('I_stim in component I_stim (picoampere)');
    LEGEND_CONSTANTS(:,3) = strpad('I_mag in component I_stim (picoampere)');
    LEGEND_CONSTANTS(:,4) = strpad('t_0 in component I_stim (millisecond)');
    LEGEND_CONSTANTS(:,5) = strpad('t_1 in component I_stim (millisecond)');
    LEGEND_ALGEBRAIC(:,4) = strpad('H_0 in component I_stim (dimensionless)');
    LEGEND_ALGEBRAIC(:,10) = strpad('H_1 in component I_stim (dimensionless)');
    LEGEND_CONSTANTS(:,6) = strpad('g_Na in component I_Na (nanosiemens)');
    LEGEND_CONSTANTS(:,7) = strpad('E_Na in component I_Na (millivolt)');
    LEGEND_STATES(:,2) = strpad('m in component m (dimensionless)');
    LEGEND_STATES(:,3) = strpad('h in component h (dimensionless)');
    LEGEND_CONSTANTS(:,8) = strpad('E_m in component m (millivolt)');
    LEGEND_CONSTANTS(:,9) = strpad('V_alpha_m in component m (millivolt)');
    LEGEND_CONSTANTS(:,10) = strpad('V_beta_m in component m (millivolt)');
    LEGEND_ALGEBRAIC(:,1) = strpad('alpha_m in component m (per_millisecond)');
    LEGEND_ALGEBRAIC(:,7) = strpad('beta_m in component m (per_millisecond)');
    LEGEND_CONSTANTS(:,11) = strpad('alpha_m_max in component m (per_millivolt_per_millisecond)');
    LEGEND_CONSTANTS(:,12) = strpad('beta_m_max in component m (per_millisecond)');
    LEGEND_CONSTANTS(:,13) = strpad('E_h in component h (millivolt)');
    LEGEND_CONSTANTS(:,14) = strpad('V_alpha_h in component h (millivolt)');
    LEGEND_CONSTANTS(:,15) = strpad('V_beta_h in component h (millivolt)');
    LEGEND_ALGEBRAIC(:,2) = strpad('alpha_h in component h (per_millisecond)');
    LEGEND_ALGEBRAIC(:,8) = strpad('beta_h in component h (per_millisecond)');
    LEGEND_CONSTANTS(:,16) = strpad('alpha_h_max in component h (per_millisecond)');
    LEGEND_CONSTANTS(:,17) = strpad('beta_h_max in component h (per_millisecond)');
    LEGEND_CONSTANTS(:,18) = strpad('R_s in component I_T (per_nanosiemens)');
    LEGEND_CONSTANTS(:,19) = strpad('C_t in component I_T (picofarad)');
    LEGEND_STATES(:,4) = strpad('V_T in component V_T (millivolt)');
    LEGEND_CONSTANTS(:,20) = strpad('g_KCa in component I_KCa (nanosiemens)');
    LEGEND_CONSTANTS(:,21) = strpad('E_K in component I_K (millivolt)');
    LEGEND_STATES(:,5) = strpad('o in component o (dimensionless)');
    LEGEND_ALGEBRAIC(:,20) = strpad('w in component w (dimensionless)');
    LEGEND_STATES(:,6) = strpad('c in component calcium_handling (dimensionless)');
    LEGEND_ALGEBRAIC(:,16) = strpad('o_oinf in component o (dimensionless)');
    LEGEND_ALGEBRAIC(:,3) = strpad('alpha_Vm in component o (per_millisecond)');
    LEGEND_ALGEBRAIC(:,9) = strpad('beta_Vm in component o (per_millisecond)');
    LEGEND_ALGEBRAIC(:,13) = strpad('tau_Vm in component o (millisecond)');
    LEGEND_CONSTANTS(:,22) = strpad('d_1 in component o (dimensionless)');
    LEGEND_CONSTANTS(:,23) = strpad('d_2 in component o (dimensionless)');
    LEGEND_CONSTANTS(:,24) = strpad('k_1 in component o (dimensionless)');
    LEGEND_CONSTANTS(:,25) = strpad('k_2 in component o (dimensionless)');
    LEGEND_CONSTANTS(:,26) = strpad('a_bar in component o (per_millisecond)');
    LEGEND_CONSTANTS(:,27) = strpad('b_bar in component o (per_millisecond)');
    LEGEND_CONSTANTS(:,28) = strpad('kd in component w (dimensionless)');
    LEGEND_STATES(:,7) = strpad('cer in component calcium_handling (dimensionless)');
    LEGEND_ALGEBRAIC(:,28) = strpad('j_mem in component calcium_handling (picoampere)');
    LEGEND_ALGEBRAIC(:,22) = strpad('j_leak in component calcium_handling (picoampere)');
    LEGEND_ALGEBRAIC(:,23) = strpad('j_serca in component calcium_handling (picoampere)');
    LEGEND_ALGEBRAIC(:,24) = strpad('j_er in component calcium_handling (picoampere)');
    LEGEND_CONSTANTS(:,29) = strpad('alpha in component calcium_handling (dimensionless)');
    LEGEND_CONSTANTS(:,30) = strpad('k_pmca in component calcium_handling (dimensionless)');
    LEGEND_CONSTANTS(:,31) = strpad('k_serca in component calcium_handling (picoampere)');
    LEGEND_CONSTANTS(:,32) = strpad('p_leak in component calcium_handling (picoampere)');
    LEGEND_CONSTANTS(:,33) = strpad('f_er in component calcium_handling (per_picoampere_per_millisecond)');
    LEGEND_CONSTANTS(:,34) = strpad('f_cyt in component calcium_handling (per_picoampere_per_millisecond)');
    LEGEND_CONSTANTS(:,35) = strpad('v_cytver in component calcium_handling (dimensionless)');
    LEGEND_STATES(:,8) = strpad('d in component d (dimensionless)');
    LEGEND_ALGEBRAIC(:,25) = strpad('g_Ca in component I_Ca (nanosiemens)');
    LEGEND_CONSTANTS(:,36) = strpad('g_Ca0 in component I_Ca (nanosiemens_per_millivolt)');
    LEGEND_CONSTANTS(:,37) = strpad('E_Ca in component I_Ca (millivolt)');
    LEGEND_ALGEBRAIC(:,15) = strpad('alpha_d in component d (per_millisecond)');
    LEGEND_ALGEBRAIC(:,18) = strpad('beta_d in component d (per_millisecond)');
    LEGEND_ALGEBRAIC(:,11) = strpad('tau_d in component d (millisecond)');
    LEGEND_ALGEBRAIC(:,5) = strpad('d_infinity in component d (dimensionless)');
    LEGEND_CONSTANTS(:,38) = strpad('E_L in component I_L (millivolt)');
    LEGEND_CONSTANTS(:,39) = strpad('g_Lmax in component I_L (nanosiemens)');
    LEGEND_STATES(:,9) = strpad('n in component n (dimensionless)');
    LEGEND_CONSTANTS(:,40) = strpad('g_K in component I_K (nanosiemens)');
    LEGEND_CONSTANTS(:,41) = strpad('E_n in component n (millivolt)');
    LEGEND_CONSTANTS(:,42) = strpad('V_alpha_n in component n (millivolt)');
    LEGEND_CONSTANTS(:,43) = strpad('V_beta_n in component n (millivolt)');
    LEGEND_ALGEBRAIC(:,6) = strpad('alpha_n in component n (per_millisecond)');
    LEGEND_ALGEBRAIC(:,12) = strpad('beta_n in component n (per_millisecond)');
    LEGEND_CONSTANTS(:,44) = strpad('alpha_n_max in component n (per_millivolt_per_millisecond)');
    LEGEND_CONSTANTS(:,45) = strpad('beta_n_max in component n (per_millisecond)');
    LEGEND_RATES(:,1) = strpad('d/dt V_m in component membrane (millivolt)');
    LEGEND_RATES(:,2) = strpad('d/dt m in component m (dimensionless)');
    LEGEND_RATES(:,3) = strpad('d/dt h in component h (dimensionless)');
    LEGEND_RATES(:,4) = strpad('d/dt V_T in component V_T (millivolt)');
    LEGEND_RATES(:,5) = strpad('d/dt o in component o (dimensionless)');
    LEGEND_RATES(:,6) = strpad('d/dt c in component calcium_handling (dimensionless)');
    LEGEND_RATES(:,7) = strpad('d/dt cer in component calcium_handling (dimensionless)');
    LEGEND_RATES(:,8) = strpad('d/dt d in component d (dimensionless)');
    LEGEND_RATES(:,9) = strpad('d/dt n in component n (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) = 2577;
    STATES(:,1) = -75;
    CONSTANTS(:,2) = 0.009;
    CONSTANTS(:,3) = 2;
    CONSTANTS(:,4) = 5;
    CONSTANTS(:,5) = 6;
    CONSTANTS(:,6) = 0.45;
    CONSTANTS(:,7) = 50;
    STATES(:,2) = 0;
    STATES(:,3) = 1;
    CONSTANTS(:,8) = -42;
    CONSTANTS(:,9) = 10;
    CONSTANTS(:,10) = 18;
    CONSTANTS(:,11) = 0.208;
    CONSTANTS(:,12) = 2.081;
    CONSTANTS(:,13) = -41;
    CONSTANTS(:,14) = 14.7;
    CONSTANTS(:,15) = 7.6;
    CONSTANTS(:,16) = 0.0156;
    CONSTANTS(:,17) = 3.382;
    CONSTANTS(:,18) = 15;
    CONSTANTS(:,19) = 0.04;
    STATES(:,4) = -70;
    CONSTANTS(:,20) = 0.5;
    CONSTANTS(:,21) = -70;
    STATES(:,5) = 0.15;
    STATES(:,6) = 0.15;
    CONSTANTS(:,22) = 0.84;
    CONSTANTS(:,23) = 1;
    CONSTANTS(:,24) = 0.18;
    CONSTANTS(:,25) = 0.011;
    CONSTANTS(:,26) = 0.48;
    CONSTANTS(:,27) = 0.28;
    CONSTANTS(:,28) = 0.18;
    STATES(:,7) = 200;
    CONSTANTS(:,29) = 4.5e-6;
    CONSTANTS(:,30) = 0.2;
    CONSTANTS(:,31) = 0.4;
    CONSTANTS(:,32) = 0.0005;
    CONSTANTS(:,33) = 0.01;
    CONSTANTS(:,34) = 0.01;
    CONSTANTS(:,35) = 5;
    STATES(:,8) = 0;
    CONSTANTS(:,36) = 0.05;
    CONSTANTS(:,37) = 50;
    CONSTANTS(:,38) = -75;
    CONSTANTS(:,39) = 0.0024;
    STATES(:,9) = 0;
    CONSTANTS(:,40) = 0.415;
    CONSTANTS(:,41) = -40;
    CONSTANTS(:,42) = 7;
    CONSTANTS(:,43) = 40;
    CONSTANTS(:,44) = 0.0229;
    CONSTANTS(:,45) = 0.09616;
    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(:,4) = (STATES(:,1) - STATES(:,4))./( CONSTANTS(:,18).*CONSTANTS(:,19));
    ALGEBRAIC(:,1) = ( CONSTANTS(:,11).*(STATES(:,1) - CONSTANTS(:,8)))./(1.00000 - exp((CONSTANTS(:,8) - STATES(:,1))./CONSTANTS(:,9)));
    ALGEBRAIC(:,7) =  CONSTANTS(:,12).*exp((CONSTANTS(:,8) - STATES(:,1))./CONSTANTS(:,10));
    RATES(:,2) =  ALGEBRAIC(:,1).*(1.00000 - STATES(:,2)) -  ALGEBRAIC(:,7).*STATES(:,2);
    ALGEBRAIC(:,2) =  CONSTANTS(:,16).*exp((STATES(:,1) - CONSTANTS(:,13))./CONSTANTS(:,14));
    ALGEBRAIC(:,8) = CONSTANTS(:,17)./(1.00000+exp((CONSTANTS(:,13) - STATES(:,1))./CONSTANTS(:,15)));
    RATES(:,3) =  ALGEBRAIC(:,2).*(1.00000 - STATES(:,3)) -  ALGEBRAIC(:,8).*STATES(:,3);
    ALGEBRAIC(:,6) = ( CONSTANTS(:,44).*(STATES(:,1) - CONSTANTS(:,41)))./(1.00000 - exp((CONSTANTS(:,41) - STATES(:,1))./CONSTANTS(:,42)));
    ALGEBRAIC(:,12) =  CONSTANTS(:,45).*exp((CONSTANTS(:,41) - STATES(:,1))./CONSTANTS(:,43));
    RATES(:,9) =  ALGEBRAIC(:,6).*(1.00000 - STATES(:,9)) -  ALGEBRAIC(:,12).*STATES(:,9);
    ALGEBRAIC(:,3) = CONSTANTS(:,26)./(1.00000+ CONSTANTS(:,24).*exp((  - 2.00000.*CONSTANTS(:,22).*96.4850.*STATES(:,1))./( CONSTANTS(:,1).*STATES(:,6))));
    ALGEBRAIC(:,9) = CONSTANTS(:,27)./(1.00000+STATES(:,6)./( CONSTANTS(:,25).*exp((  - 2.00000.*CONSTANTS(:,23).*96.4850.*STATES(:,1))./CONSTANTS(:,1))));
    ALGEBRAIC(:,13) = 1.00000./(ALGEBRAIC(:,3)+ALGEBRAIC(:,9));
    ALGEBRAIC(:,16) =  ALGEBRAIC(:,3).*ALGEBRAIC(:,13);
    RATES(:,5) = (ALGEBRAIC(:,16) - STATES(:,5))./ALGEBRAIC(:,13);
    ALGEBRAIC(:,11) = ( 80.0000.*1.00000)./cosh(  - 0.0310000.*(STATES(:,1)+37.1000));
    ALGEBRAIC(:,5) = 1.00000./(1.00000+exp(( - 24.6000 - STATES(:,1))./11.3000));
    ALGEBRAIC(:,15) = ALGEBRAIC(:,5)./ALGEBRAIC(:,11);
    ALGEBRAIC(:,18) = (1.00000 - ALGEBRAIC(:,5))./ALGEBRAIC(:,11);
    RATES(:,8) =  ALGEBRAIC(:,15).*(1.00000 - STATES(:,8)) -  ALGEBRAIC(:,18).*STATES(:,8);
    ALGEBRAIC(:,22) =  CONSTANTS(:,32).*(STATES(:,7) - STATES(:,6));
    ALGEBRAIC(:,23) =  CONSTANTS(:,31).*STATES(:,6);
    ALGEBRAIC(:,24) = ALGEBRAIC(:,22) - ALGEBRAIC(:,23);
    RATES(:,7) =   - CONSTANTS(:,33).*CONSTANTS(:,35).*ALGEBRAIC(:,24);
    ALGEBRAIC(:,25) = (  - CONSTANTS(:,36).*STATES(:,1))./(exp( 0.117000.*STATES(:,1)) - 1.00000);
    ALGEBRAIC(:,26) =  ALGEBRAIC(:,25).*power(STATES(:,8), 2.00000).*(STATES(:,1) - CONSTANTS(:,37));
    ALGEBRAIC(:,28) =   - CONSTANTS(:,29).*ALGEBRAIC(:,26).*CONSTANTS(:,30).*STATES(:,6);
    RATES(:,6) =  CONSTANTS(:,34).*(ALGEBRAIC(:,28)+ALGEBRAIC(:,24));
    ALGEBRAIC(:,17) =  CONSTANTS(:,6).*power(STATES(:,2), 3.00000).*STATES(:,3).*(STATES(:,1) - CONSTANTS(:,7));
    ALGEBRAIC(:,19) = (STATES(:,1) - STATES(:,4))./CONSTANTS(:,18);
    ALGEBRAIC(:,20) = power(STATES(:,6), 5.00000)./(power(STATES(:,6), 5.00000)+power(CONSTANTS(:,28), 5.00000));
    ALGEBRAIC(:,21) =  CONSTANTS(:,20).*STATES(:,5).*ALGEBRAIC(:,20).*(STATES(:,1) - CONSTANTS(:,21));
    ALGEBRAIC(:,27) =  CONSTANTS(:,39).*(STATES(:,1) - CONSTANTS(:,38));
    ALGEBRAIC(:,29) =  CONSTANTS(:,40).*power(STATES(:,9), 4.00000).*(STATES(:,1) - CONSTANTS(:,21));
    ALGEBRAIC(:,4) = piecewise({VOI<CONSTANTS(:,4), 0.00000 }, 1.00000);
    ALGEBRAIC(:,10) = piecewise({VOI<CONSTANTS(:,5), 0.00000 }, 1.00000);
    ALGEBRAIC(:,14) =  CONSTANTS(:,3).*(ALGEBRAIC(:,4) - ALGEBRAIC(:,10));
    RATES(:,1) = (ALGEBRAIC(:,14) - (ALGEBRAIC(:,17)+ALGEBRAIC(:,26)+ALGEBRAIC(:,29)+ALGEBRAIC(:,27)+ALGEBRAIC(:,19)+ALGEBRAIC(:,21)))./CONSTANTS(:,2);
   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(:,11).*(STATES(:,1) - CONSTANTS(:,8)))./(1.00000 - exp((CONSTANTS(:,8) - STATES(:,1))./CONSTANTS(:,9)));
    ALGEBRAIC(:,7) =  CONSTANTS(:,12).*exp((CONSTANTS(:,8) - STATES(:,1))./CONSTANTS(:,10));
    ALGEBRAIC(:,2) =  CONSTANTS(:,16).*exp((STATES(:,1) - CONSTANTS(:,13))./CONSTANTS(:,14));
    ALGEBRAIC(:,8) = CONSTANTS(:,17)./(1.00000+exp((CONSTANTS(:,13) - STATES(:,1))./CONSTANTS(:,15)));
    ALGEBRAIC(:,6) = ( CONSTANTS(:,44).*(STATES(:,1) - CONSTANTS(:,41)))./(1.00000 - exp((CONSTANTS(:,41) - STATES(:,1))./CONSTANTS(:,42)));
    ALGEBRAIC(:,12) =  CONSTANTS(:,45).*exp((CONSTANTS(:,41) - STATES(:,1))./CONSTANTS(:,43));
    ALGEBRAIC(:,3) = CONSTANTS(:,26)./(1.00000+ CONSTANTS(:,24).*exp((  - 2.00000.*CONSTANTS(:,22).*96.4850.*STATES(:,1))./( CONSTANTS(:,1).*STATES(:,6))));
    ALGEBRAIC(:,9) = CONSTANTS(:,27)./(1.00000+STATES(:,6)./( CONSTANTS(:,25).*exp((  - 2.00000.*CONSTANTS(:,23).*96.4850.*STATES(:,1))./CONSTANTS(:,1))));
    ALGEBRAIC(:,13) = 1.00000./(ALGEBRAIC(:,3)+ALGEBRAIC(:,9));
    ALGEBRAIC(:,16) =  ALGEBRAIC(:,3).*ALGEBRAIC(:,13);
    ALGEBRAIC(:,11) = ( 80.0000.*1.00000)./cosh(  - 0.0310000.*(STATES(:,1)+37.1000));
    ALGEBRAIC(:,5) = 1.00000./(1.00000+exp(( - 24.6000 - STATES(:,1))./11.3000));
    ALGEBRAIC(:,15) = ALGEBRAIC(:,5)./ALGEBRAIC(:,11);
    ALGEBRAIC(:,18) = (1.00000 - ALGEBRAIC(:,5))./ALGEBRAIC(:,11);
    ALGEBRAIC(:,22) =  CONSTANTS(:,32).*(STATES(:,7) - STATES(:,6));
    ALGEBRAIC(:,23) =  CONSTANTS(:,31).*STATES(:,6);
    ALGEBRAIC(:,24) = ALGEBRAIC(:,22) - ALGEBRAIC(:,23);
    ALGEBRAIC(:,25) = (  - CONSTANTS(:,36).*STATES(:,1))./(exp( 0.117000.*STATES(:,1)) - 1.00000);
    ALGEBRAIC(:,26) =  ALGEBRAIC(:,25).*power(STATES(:,8), 2.00000).*(STATES(:,1) - CONSTANTS(:,37));
    ALGEBRAIC(:,28) =   - CONSTANTS(:,29).*ALGEBRAIC(:,26).*CONSTANTS(:,30).*STATES(:,6);
    ALGEBRAIC(:,17) =  CONSTANTS(:,6).*power(STATES(:,2), 3.00000).*STATES(:,3).*(STATES(:,1) - CONSTANTS(:,7));
    ALGEBRAIC(:,19) = (STATES(:,1) - STATES(:,4))./CONSTANTS(:,18);
    ALGEBRAIC(:,20) = power(STATES(:,6), 5.00000)./(power(STATES(:,6), 5.00000)+power(CONSTANTS(:,28), 5.00000));
    ALGEBRAIC(:,21) =  CONSTANTS(:,20).*STATES(:,5).*ALGEBRAIC(:,20).*(STATES(:,1) - CONSTANTS(:,21));
    ALGEBRAIC(:,27) =  CONSTANTS(:,39).*(STATES(:,1) - CONSTANTS(:,38));
    ALGEBRAIC(:,29) =  CONSTANTS(:,40).*power(STATES(:,9), 4.00000).*(STATES(:,1) - CONSTANTS(:,21));
    ALGEBRAIC(:,4) = piecewise({VOI<CONSTANTS(:,4), 0.00000 }, 1.00000);
    ALGEBRAIC(:,10) = piecewise({VOI<CONSTANTS(:,5), 0.00000 }, 1.00000);
    ALGEBRAIC(:,14) =  CONSTANTS(:,3).*(ALGEBRAIC(:,4) - ALGEBRAIC(:,10));
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