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 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('t in component main (second)');
    LEGEND_CONSTANTS(:,1) = strpad('RT in component main (J_per_mol)');
    LEGEND_CONSTANTS(:,2) = strpad('F in component main (C_per_mol)');
    LEGEND_STATES(:,1) = strpad('q_ac_W in component main (litre)');
    LEGEND_STATES(:,2) = strpad('q_vc_W in component main (litre)');
    LEGEND_STATES(:,3) = strpad('q_gi_W in component main (litre)');
    LEGEND_STATES(:,4) = strpad('q_pt_W in component main (litre)');
    LEGEND_CONSTANTS(:,3) = strpad('q_giEpi_W in component main (litre)');
    LEGEND_CONSTANTS(:,4) = strpad('q_ptEpi_W in component main (litre)');
    LEGEND_ALGEBRAIC(:,1) = strpad('q_tot_W in component main (litre)');
    LEGEND_STATES(:,5) = strpad('q_vc_Na in component main (mole)');
    LEGEND_STATES(:,6) = strpad('q_gi_Na in component main (mole)');
    LEGEND_STATES(:,7) = strpad('q_pt_Na in component main (mole)');
    LEGEND_STATES(:,8) = strpad('q_giEpi_Na in component main (mole)');
    LEGEND_STATES(:,9) = strpad('q_ptEpi_Na in component main (mole)');
    LEGEND_CONSTANTS(:,5) = strpad('q_vc_K in component main (mole)');
    LEGEND_CONSTANTS(:,6) = strpad('q_giEpi_K in component main (mole)');
    LEGEND_CONSTANTS(:,7) = strpad('q_ptEpi_K in component main (mole)');
    LEGEND_ALGEBRAIC(:,2) = strpad('q_tot_Na in component main (mole)');
    LEGEND_ALGEBRAIC(:,3) = strpad('c_vc_Na in component main (mol_per_L)');
    LEGEND_ALGEBRAIC(:,14) = strpad('c_gi_Na in component main (mol_per_L)');
    LEGEND_ALGEBRAIC(:,19) = strpad('c_pt_Na in component main (mol_per_L)');
    LEGEND_ALGEBRAIC(:,4) = strpad('c_giEpi_Na in component main (mol_per_L)');
    LEGEND_ALGEBRAIC(:,5) = strpad('c_ptEpi_Na in component main (mol_per_L)');
    LEGEND_ALGEBRAIC(:,15) = strpad('C_vc_Na in component main (mM)');
    LEGEND_ALGEBRAIC(:,20) = strpad('C_gi_Na in component main (mM)');
    LEGEND_ALGEBRAIC(:,23) = strpad('C_pt_Na in component main (mM)');
    LEGEND_ALGEBRAIC(:,16) = strpad('C_giEpi_Na in component main (mM)');
    LEGEND_ALGEBRAIC(:,17) = strpad('C_ptEpi_Na in component main (mM)');
    LEGEND_CONSTANTS(:,8) = strpad('v_lv_W in component main (L_per_s)');
    LEGEND_CONSTANTS(:,9) = strpad('v_in_W_base in component main (L_per_s)');
    LEGEND_ALGEBRAIC(:,6) = strpad('v_in_W in component main (L_per_s)');
    LEGEND_CONSTANTS(:,43) = strpad('v_out1_W in component main (L_per_s)');
    LEGEND_CONSTANTS(:,44) = strpad('v_out2_W in component main (L_per_s)');
    LEGEND_ALGEBRAIC(:,24) = strpad('v_gl_W in component main (L_per_s)');
    LEGEND_ALGEBRAIC(:,27) = strpad('v_gi_W in component main (L_per_s)');
    LEGEND_ALGEBRAIC(:,29) = strpad('v_pt_W in component main (L_per_s)');
    LEGEND_ALGEBRAIC(:,21) = strpad('v_cc_W in component main (L_per_s)');
    LEGEND_CONSTANTS(:,10) = strpad('v_in_Na_base in component main (mol_per_s)');
    LEGEND_ALGEBRAIC(:,7) = strpad('v_in_Na in component main (mol_per_s)');
    LEGEND_CONSTANTS(:,45) = strpad('v_out1_Na in component main (mol_per_s)');
    LEGEND_CONSTANTS(:,46) = strpad('v_out2_Na in component main (mol_per_s)');
    LEGEND_ALGEBRAIC(:,8) = strpad('v_gl_Na in component main (mol_per_s)');
    LEGEND_ALGEBRAIC(:,9) = strpad('v_gi_Na in component main (mol_per_s)');
    LEGEND_ALGEBRAIC(:,10) = strpad('v_pt_Na in component main (mol_per_s)');
    LEGEND_ALGEBRAIC(:,11) = strpad('v_giEpi_NKE in component main (mol_per_s)');
    LEGEND_ALGEBRAIC(:,12) = strpad('v_ptEpi_NKE in component main (mol_per_s)');
    LEGEND_ALGEBRAIC(:,13) = strpad('u_vc_W in component main (kPa)');
    LEGEND_ALGEBRAIC(:,18) = strpad('u_ac_W in component main (kPa)');
    LEGEND_ALGEBRAIC(:,22) = strpad('u_pt_W in component main (kPa)');
    LEGEND_ALGEBRAIC(:,26) = strpad('u_vc_osmotic in component main (kPa)');
    LEGEND_ALGEBRAIC(:,25) = strpad('u_gi_osmotic in component main (kPa)');
    LEGEND_ALGEBRAIC(:,28) = strpad('u_pt_osmotic in component main (kPa)');
    LEGEND_CONSTANTS(:,11) = strpad('u_giEpi_e in component main (J_per_C)');
    LEGEND_CONSTANTS(:,12) = strpad('u_ptEpi_e in component main (J_per_C)');
    LEGEND_CONSTANTS(:,13) = strpad('k_gi_W in component main (L_per_s_per_kPa)');
    LEGEND_CONSTANTS(:,14) = strpad('k_pt_W in component main (L_per_s_per_kPa)');
    LEGEND_CONSTANTS(:,15) = strpad('k_gl_W in component main (L_per_s_per_kPa)');
    LEGEND_CONSTANTS(:,16) = strpad('k_cc_W in component main (L_per_s_per_kPa)');
    LEGEND_CONSTANTS(:,17) = strpad('kK_gi_Na in component main (per_s)');
    LEGEND_CONSTANTS(:,18) = strpad('kK_pt_Na in component main (per_s)');
    LEGEND_CONSTANTS(:,19) = strpad('kK_gl_Na in component main (per_s)');
    LEGEND_CONSTANTS(:,20) = strpad('k_giEpi_NKE in component main (mol_per_s)');
    LEGEND_CONSTANTS(:,21) = strpad('k_ptEpi_NKE in component main (mol_per_s)');
    LEGEND_CONSTANTS(:,22) = strpad('K_Na in component main (L_per_mol)');
    LEGEND_CONSTANTS(:,23) = strpad('K_K in component main (L_per_mol)');
    LEGEND_CONSTANTS(:,24) = strpad('E_vc in component main (joule)');
    LEGEND_CONSTANTS(:,25) = strpad('E_ac in component main (joule)');
    LEGEND_CONSTANTS(:,26) = strpad('E_pt in component main (joule)');
    LEGEND_CONSTANTS(:,27) = strpad('U_ac_W in component main (litre)');
    LEGEND_CONSTANTS(:,28) = strpad('U_vc_W in component main (litre)');
    LEGEND_CONSTANTS(:,29) = strpad('U_pt_W in component main (litre)');
    LEGEND_CONSTANTS(:,30) = strpad('L_ac_W in component main (litre)');
    LEGEND_CONSTANTS(:,31) = strpad('L_vc_W in component main (litre)');
    LEGEND_CONSTANTS(:,32) = strpad('L_pt_W in component main (litre)');
    LEGEND_CONSTANTS(:,33) = strpad('water_intake in component main (L_per_s)');
    LEGEND_CONSTANTS(:,34) = strpad('water_intake_start in component main (second)');
    LEGEND_CONSTANTS(:,35) = strpad('water_intake_duration in component main (second)');
    LEGEND_CONSTANTS(:,36) = strpad('water_kidney_excretion in component main (dimensionless)');
    LEGEND_CONSTANTS(:,37) = strpad('water_gi_excretion in component main (dimensionless)');
    LEGEND_CONSTANTS(:,38) = strpad('Na_intake in component main (mol_per_s)');
    LEGEND_CONSTANTS(:,39) = strpad('Na_intake_start in component main (second)');
    LEGEND_CONSTANTS(:,40) = strpad('Na_intake_duration in component main (second)');
    LEGEND_CONSTANTS(:,41) = strpad('Na_gi_excretion in component main (dimensionless)');
    LEGEND_CONSTANTS(:,42) = strpad('Na_kidney_excretion in component main (dimensionless)');
    LEGEND_RATES(:,3) = strpad('d/dt q_gi_W in component main (litre)');
    LEGEND_RATES(:,4) = strpad('d/dt q_pt_W in component main (litre)');
    LEGEND_RATES(:,2) = strpad('d/dt q_vc_W in component main (litre)');
    LEGEND_RATES(:,1) = strpad('d/dt q_ac_W in component main (litre)');
    LEGEND_RATES(:,6) = strpad('d/dt q_gi_Na in component main (mole)');
    LEGEND_RATES(:,8) = strpad('d/dt q_giEpi_Na in component main (mole)');
    LEGEND_RATES(:,7) = strpad('d/dt q_pt_Na in component main (mole)');
    LEGEND_RATES(:,9) = strpad('d/dt q_ptEpi_Na in component main (mole)');
    LEGEND_RATES(:,5) = strpad('d/dt q_vc_Na in component main (mole)');
    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) = 2.5e3;
    CONSTANTS(:,2) = 0.965e5;
    STATES(:,1) = 1;
    STATES(:,2) = 2;
    STATES(:,3) = 1;
    STATES(:,4) = 0.1;
    CONSTANTS(:,3) = 0.5;
    CONSTANTS(:,4) = 0.5;
    STATES(:,5) = 0.84;
    STATES(:,6) = 0.1;
    STATES(:,7) = 0.01;
    STATES(:,8) = 0.012;
    STATES(:,9) = 0.012;
    CONSTANTS(:,5) = 0.03;
    CONSTANTS(:,6) = 0.012;
    CONSTANTS(:,7) = 0.012;
    CONSTANTS(:,8) = 0.1;
    CONSTANTS(:,9) = 0;
    CONSTANTS(:,10) = 1.16e-06;
    CONSTANTS(:,11) = -0.040;
    CONSTANTS(:,12) = -0.040;
    CONSTANTS(:,13) = 1;
    CONSTANTS(:,14) = 0;
    CONSTANTS(:,15) = 1;
    CONSTANTS(:,16) = 1;
    CONSTANTS(:,17) = 1;
    CONSTANTS(:,18) = 1;
    CONSTANTS(:,19) = 1;
    CONSTANTS(:,20) = 1e4;
    CONSTANTS(:,21) = 1e5;
    CONSTANTS(:,22) = 1;
    CONSTANTS(:,23) = 1;
    CONSTANTS(:,24) = 6e1;
    CONSTANTS(:,25) = 6e1;
    CONSTANTS(:,26) = 1;
    CONSTANTS(:,27) = 0.5;
    CONSTANTS(:,28) = 1.5;
    CONSTANTS(:,29) = 0.1;
    CONSTANTS(:,30) = 1.5;
    CONSTANTS(:,31) = 2.5;
    CONSTANTS(:,32) = 1;
    CONSTANTS(:,33) = 0.01;
    CONSTANTS(:,34) = 10;
    CONSTANTS(:,35) = 5;
    CONSTANTS(:,36) = 0.94;
    CONSTANTS(:,37) = 0.06;
    CONSTANTS(:,38) = 0.001;
    CONSTANTS(:,39) = 10;
    CONSTANTS(:,40) = 10;
    CONSTANTS(:,41) = 0.07;
    CONSTANTS(:,42) = 0.93;
    CONSTANTS(:,43) =  CONSTANTS(:,37).*CONSTANTS(:,9);
    CONSTANTS(:,44) =  CONSTANTS(:,36).*CONSTANTS(:,9);
    CONSTANTS(:,45) =  CONSTANTS(:,41).*CONSTANTS(:,10);
    CONSTANTS(:,46) =  CONSTANTS(:,42).*CONSTANTS(:,10);
    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) = ( CONSTANTS(:,15).*(( CONSTANTS(:,25).*(STATES(:,1) - CONSTANTS(:,27)))./power(CONSTANTS(:,30) - STATES(:,1), 2.00000) - ( CONSTANTS(:,26).*(STATES(:,4) - CONSTANTS(:,29)))./power(CONSTANTS(:,32) - STATES(:,4), 2.00000)) -  CONSTANTS(:,1).*CONSTANTS(:,14).*(STATES(:,5)./STATES(:,2) - STATES(:,7)./STATES(:,4))) - CONSTANTS(:,44);
    RATES(:,2) = ( CONSTANTS(:,16).*(( CONSTANTS(:,25).*(STATES(:,1) - CONSTANTS(:,27)))./power(CONSTANTS(:,30) - STATES(:,1), 2.00000) - ( CONSTANTS(:,24).*(STATES(:,2) - CONSTANTS(:,28)))./power(CONSTANTS(:,31) - STATES(:,2), 2.00000))+ CONSTANTS(:,1).*CONSTANTS(:,13).*(STATES(:,5)./STATES(:,2) - STATES(:,6)./STATES(:,3))+ CONSTANTS(:,1).*CONSTANTS(:,14).*(STATES(:,5)./STATES(:,2) - STATES(:,7)./STATES(:,4))) - CONSTANTS(:,8);
    RATES(:,1) = ((CONSTANTS(:,8)+( CONSTANTS(:,16).*CONSTANTS(:,24).*(STATES(:,2) - CONSTANTS(:,28)))./power(CONSTANTS(:,31) - STATES(:,2), 2.00000)) - ( (CONSTANTS(:,15)+CONSTANTS(:,16)).*CONSTANTS(:,25).*(STATES(:,1) - CONSTANTS(:,27)))./power(CONSTANTS(:,30) - STATES(:,1), 2.00000))+( CONSTANTS(:,15).*CONSTANTS(:,26).*(STATES(:,4) - CONSTANTS(:,29)))./power(CONSTANTS(:,32) - STATES(:,4), 2.00000);
    RATES(:,8) =  CONSTANTS(:,17).*(STATES(:,6) - STATES(:,8)) - ( 3.00000.*CONSTANTS(:,20).*( power(( CONSTANTS(:,22).*STATES(:,8))./CONSTANTS(:,3), 3.00000).*power(( CONSTANTS(:,23).*CONSTANTS(:,5))./STATES(:,2), 2.00000) -  power(( CONSTANTS(:,22).*STATES(:,5))./STATES(:,2), 3.00000).*power(( CONSTANTS(:,23).*CONSTANTS(:,6))./CONSTANTS(:,3), 2.00000).*exp(( 2.00000.*CONSTANTS(:,2).*CONSTANTS(:,11))./CONSTANTS(:,1))))./( (1.00000+power(( CONSTANTS(:,22).*STATES(:,8))./CONSTANTS(:,3), 3.00000)).*(1.00000+power(( CONSTANTS(:,22).*STATES(:,5))./STATES(:,2), 3.00000)).*(1.00000+power(( CONSTANTS(:,23).*CONSTANTS(:,5))./STATES(:,2), 2.00000)).*(1.00000+power(( CONSTANTS(:,23).*CONSTANTS(:,6))./CONSTANTS(:,3), 2.00000)));
    RATES(:,7) = ( CONSTANTS(:,19).*(STATES(:,5) - STATES(:,7)) -  CONSTANTS(:,18).*(STATES(:,7) - STATES(:,9))) - CONSTANTS(:,46);
    RATES(:,9) =  CONSTANTS(:,18).*(STATES(:,7) - STATES(:,9)) - ( 3.00000.*CONSTANTS(:,21).*( power(( CONSTANTS(:,22).*STATES(:,9))./CONSTANTS(:,4), 3.00000).*power(( CONSTANTS(:,23).*CONSTANTS(:,5))./STATES(:,2), 2.00000) -  power(( CONSTANTS(:,22).*STATES(:,5))./STATES(:,2), 3.00000).*power(( CONSTANTS(:,23).*CONSTANTS(:,7))./CONSTANTS(:,4), 2.00000).*exp(( 2.00000.*CONSTANTS(:,2).*CONSTANTS(:,12))./CONSTANTS(:,1))))./( (1.00000+power(( CONSTANTS(:,22).*STATES(:,9))./CONSTANTS(:,4), 3.00000)).*(1.00000+power(( CONSTANTS(:,22).*STATES(:,5))./STATES(:,2), 3.00000)).*(1.00000+power(( CONSTANTS(:,23).*CONSTANTS(:,5))./STATES(:,2), 2.00000)).*(1.00000+power(( CONSTANTS(:,23).*CONSTANTS(:,7))./CONSTANTS(:,4), 2.00000)));
    RATES(:,5) = (( 3.00000.*CONSTANTS(:,20).*( power(( CONSTANTS(:,22).*STATES(:,8))./CONSTANTS(:,3), 3.00000).*power(( CONSTANTS(:,23).*CONSTANTS(:,5))./STATES(:,2), 2.00000) -  power(( CONSTANTS(:,22).*STATES(:,5))./STATES(:,2), 3.00000).*power(( CONSTANTS(:,23).*CONSTANTS(:,6))./CONSTANTS(:,3), 2.00000).*exp(( 2.00000.*CONSTANTS(:,2).*CONSTANTS(:,11))./CONSTANTS(:,1))))./( (1.00000+power(( CONSTANTS(:,22).*STATES(:,8))./CONSTANTS(:,3), 3.00000)).*(1.00000+power(( CONSTANTS(:,22).*STATES(:,5))./STATES(:,2), 3.00000)).*(1.00000+power(( CONSTANTS(:,23).*CONSTANTS(:,5))./STATES(:,2), 2.00000)).*(1.00000+power(( CONSTANTS(:,23).*CONSTANTS(:,6))./CONSTANTS(:,3), 2.00000)))+( 3.00000.*CONSTANTS(:,21).*( power(( CONSTANTS(:,22).*STATES(:,9))./CONSTANTS(:,4), 3.00000).*power(( CONSTANTS(:,23).*CONSTANTS(:,5))./STATES(:,2), 2.00000) -  power(( CONSTANTS(:,22).*STATES(:,5))./STATES(:,2), 3.00000).*power(( CONSTANTS(:,23).*CONSTANTS(:,7))./CONSTANTS(:,4), 2.00000).*exp(( 2.00000.*CONSTANTS(:,2).*CONSTANTS(:,12))./CONSTANTS(:,1))))./( (1.00000+power(( CONSTANTS(:,22).*STATES(:,9))./CONSTANTS(:,4), 3.00000)).*(1.00000+power(( CONSTANTS(:,22).*STATES(:,5))./STATES(:,2), 3.00000)).*(1.00000+power(( CONSTANTS(:,23).*CONSTANTS(:,5))./STATES(:,2), 2.00000)).*(1.00000+power(( CONSTANTS(:,23).*CONSTANTS(:,7))./CONSTANTS(:,4), 2.00000)))) -  CONSTANTS(:,19).*(STATES(:,5) - STATES(:,7));
    ALGEBRAIC(:,6) = piecewise({VOI>CONSTANTS(:,34)&VOI<CONSTANTS(:,34)+CONSTANTS(:,35), CONSTANTS(:,33) }, 0.00000);
    RATES(:,3) = (ALGEBRAIC(:,6) -  CONSTANTS(:,1).*CONSTANTS(:,13).*(STATES(:,5)./STATES(:,2) - STATES(:,6)./STATES(:,3))) - CONSTANTS(:,43);
    ALGEBRAIC(:,7) = piecewise({VOI>CONSTANTS(:,39)&VOI<CONSTANTS(:,39)+CONSTANTS(:,40), CONSTANTS(:,10)+CONSTANTS(:,38) }, CONSTANTS(:,10));
    RATES(:,6) = (ALGEBRAIC(:,7) -  CONSTANTS(:,17).*(STATES(:,6) - STATES(:,8))) - CONSTANTS(:,45);
   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(:,6) = piecewise({VOI>CONSTANTS(:,34)&VOI<CONSTANTS(:,34)+CONSTANTS(:,35), CONSTANTS(:,33) }, 0.00000);
    ALGEBRAIC(:,7) = piecewise({VOI>CONSTANTS(:,39)&VOI<CONSTANTS(:,39)+CONSTANTS(:,40), CONSTANTS(:,10)+CONSTANTS(:,38) }, CONSTANTS(:,10));
    ALGEBRAIC(:,1) = STATES(:,1)+STATES(:,2)+STATES(:,3)+STATES(:,4)+CONSTANTS(:,3)+CONSTANTS(:,4);
    ALGEBRAIC(:,2) = STATES(:,5)+STATES(:,6)+STATES(:,7)+STATES(:,8)+STATES(:,9);
    ALGEBRAIC(:,3) = STATES(:,5)./STATES(:,2);
    ALGEBRAIC(:,4) = STATES(:,8)./CONSTANTS(:,3);
    ALGEBRAIC(:,5) = STATES(:,9)./CONSTANTS(:,4);
    ALGEBRAIC(:,8) =  CONSTANTS(:,19).*(STATES(:,5) - STATES(:,7));
    ALGEBRAIC(:,9) =  CONSTANTS(:,17).*(STATES(:,6) - STATES(:,8));
    ALGEBRAIC(:,10) =  CONSTANTS(:,18).*(STATES(:,7) - STATES(:,9));
    ALGEBRAIC(:,11) = ( 3.00000.*CONSTANTS(:,20).*( power(( CONSTANTS(:,22).*STATES(:,8))./CONSTANTS(:,3), 3.00000).*power(( CONSTANTS(:,23).*CONSTANTS(:,5))./STATES(:,2), 2.00000) -  power(( CONSTANTS(:,22).*STATES(:,5))./STATES(:,2), 3.00000).*power(( CONSTANTS(:,23).*CONSTANTS(:,6))./CONSTANTS(:,3), 2.00000).*exp(( 2.00000.*CONSTANTS(:,2).*CONSTANTS(:,11))./CONSTANTS(:,1))))./( (1.00000+power(( CONSTANTS(:,22).*STATES(:,8))./CONSTANTS(:,3), 3.00000)).*(1.00000+power(( CONSTANTS(:,22).*STATES(:,5))./STATES(:,2), 3.00000)).*(1.00000+power(( CONSTANTS(:,23).*CONSTANTS(:,5))./STATES(:,2), 2.00000)).*(1.00000+power(( CONSTANTS(:,23).*CONSTANTS(:,6))./CONSTANTS(:,3), 2.00000)));
    ALGEBRAIC(:,12) = ( 3.00000.*CONSTANTS(:,21).*( power(( CONSTANTS(:,22).*STATES(:,9))./CONSTANTS(:,4), 3.00000).*power(( CONSTANTS(:,23).*CONSTANTS(:,5))./STATES(:,2), 2.00000) -  power(( CONSTANTS(:,22).*STATES(:,5))./STATES(:,2), 3.00000).*power(( CONSTANTS(:,23).*CONSTANTS(:,7))./CONSTANTS(:,4), 2.00000).*exp(( 2.00000.*CONSTANTS(:,2).*CONSTANTS(:,12))./CONSTANTS(:,1))))./( (1.00000+power(( CONSTANTS(:,22).*STATES(:,9))./CONSTANTS(:,4), 3.00000)).*(1.00000+power(( CONSTANTS(:,22).*STATES(:,5))./STATES(:,2), 3.00000)).*(1.00000+power(( CONSTANTS(:,23).*CONSTANTS(:,5))./STATES(:,2), 2.00000)).*(1.00000+power(( CONSTANTS(:,23).*CONSTANTS(:,7))./CONSTANTS(:,4), 2.00000)));
    ALGEBRAIC(:,13) = ( CONSTANTS(:,24).*(STATES(:,2) - CONSTANTS(:,28)))./power(CONSTANTS(:,31) - STATES(:,2), 2.00000);
    ALGEBRAIC(:,14) = STATES(:,6)./STATES(:,3);
    ALGEBRAIC(:,15) =  1000.00.*ALGEBRAIC(:,3);
    ALGEBRAIC(:,16) =  1000.00.*ALGEBRAIC(:,4);
    ALGEBRAIC(:,17) =  1000.00.*ALGEBRAIC(:,5);
    ALGEBRAIC(:,18) = ( CONSTANTS(:,25).*(STATES(:,1) - CONSTANTS(:,27)))./power(CONSTANTS(:,30) - STATES(:,1), 2.00000);
    ALGEBRAIC(:,19) = STATES(:,7)./STATES(:,4);
    ALGEBRAIC(:,20) =  1000.00.*ALGEBRAIC(:,14);
    ALGEBRAIC(:,21) =  CONSTANTS(:,16).*(ALGEBRAIC(:,18) - ALGEBRAIC(:,13));
    ALGEBRAIC(:,22) = ( CONSTANTS(:,26).*(STATES(:,4) - CONSTANTS(:,29)))./power(CONSTANTS(:,32) - STATES(:,4), 2.00000);
    ALGEBRAIC(:,23) =  1000.00.*ALGEBRAIC(:,19);
    ALGEBRAIC(:,24) =  CONSTANTS(:,15).*(ALGEBRAIC(:,18) - ALGEBRAIC(:,22));
    ALGEBRAIC(:,25) =  CONSTANTS(:,1).*ALGEBRAIC(:,14);
    ALGEBRAIC(:,26) =  CONSTANTS(:,1).*ALGEBRAIC(:,3);
    ALGEBRAIC(:,27) =  CONSTANTS(:,13).*(ALGEBRAIC(:,26) - ALGEBRAIC(:,25));
    ALGEBRAIC(:,28) =  CONSTANTS(:,1).*ALGEBRAIC(:,19);
    ALGEBRAIC(:,29) =  CONSTANTS(:,14).*(ALGEBRAIC(:,26) - ALGEBRAIC(:,28));
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