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 =32;
end
% There are a total of 9 entries in each of the rate and state variable arrays.
% There are a total of 42 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('pulse_time in component main (second)');
    LEGEND_CONSTANTS(:,2) = strpad('RT in component main (J_per_mol)');
    LEGEND_CONSTANTS(:,3) = strpad('F in component main (C_per_mol)');
    LEGEND_CONSTANTS(:,4) = strpad('q_w_gut in component main (litre)');
    LEGEND_CONSTANTS(:,5) = strpad('q_w_epi in component main (litre)');
    LEGEND_CONSTANTS(:,6) = strpad('q_w_cap in component main (litre)');
    LEGEND_CONSTANTS(:,37) = strpad('q_w_tot in component main (litre)');
    LEGEND_STATES(:,1) = strpad('q_Na_gut in component main (mole)');
    LEGEND_STATES(:,2) = strpad('q_Na_epi in component main (mole)');
    LEGEND_ALGEBRAIC(:,1) = strpad('q_Na_cap in component main (mole)');
    LEGEND_CONSTANTS(:,7) = strpad('q_Na_cap_init in component main (mole)');
    LEGEND_CONSTANTS(:,8) = strpad('q_Na_cap_scale in component main (dimensionless)');
    LEGEND_ALGEBRAIC(:,3) = strpad('c_Na_gut in component main (mM)');
    LEGEND_ALGEBRAIC(:,5) = strpad('c_Na_epi in component main (mM)');
    LEGEND_ALGEBRAIC(:,6) = strpad('c_Na_cap in component main (mM)');
    LEGEND_CONSTANTS(:,9) = strpad('K_mm in component main (millimols_per_mol)');
    LEGEND_ALGEBRAIC(:,4) = strpad('q_Na_tot in component main (mole)');
    LEGEND_STATES(:,3) = strpad('q_K_epi in component main (mole)');
    LEGEND_CONSTANTS(:,10) = strpad('q_K_cap in component main (mole)');
    LEGEND_ALGEBRAIC(:,8) = strpad('c_K_epi in component main (mM)');
    LEGEND_CONSTANTS(:,38) = strpad('c_K_cap in component main (mM)');
    LEGEND_STATES(:,4) = strpad('q_Cl_epi in component main (mole)');
    LEGEND_CONSTANTS(:,11) = strpad('q_Cl_cap in component main (mole)');
    LEGEND_ALGEBRAIC(:,11) = strpad('c_Cl_epi in component main (mM)');
    LEGEND_CONSTANTS(:,39) = strpad('c_Cl_cap in component main (mM)');
    LEGEND_STATES(:,5) = strpad('q_e in component main (coulomb)');
    LEGEND_CONSTANTS(:,12) = strpad('u_ee in component main (J_per_C)');
    LEGEND_ALGEBRAIC(:,14) = strpad('u_e in component main (J_per_C)');
    LEGEND_CONSTANTS(:,13) = strpad('C_m in component main (C2_per_J)');
    LEGEND_ALGEBRAIC(:,15) = strpad('q_Glc_gut in component main (mole)');
    LEGEND_STATES(:,6) = strpad('q_Glc_epi in component main (mole)');
    LEGEND_CONSTANTS(:,14) = strpad('q_Glc_cap in component main (mole)');
    LEGEND_CONSTANTS(:,15) = strpad('q_Glc_gut_init in component main (mole)');
    LEGEND_CONSTANTS(:,16) = strpad('q_Glc_gut_scale in component main (dimensionless)');
    LEGEND_ALGEBRAIC(:,16) = strpad('c_Glc_gut in component main (mM)');
    LEGEND_ALGEBRAIC(:,17) = strpad('c_Glc_epi in component main (mM)');
    LEGEND_CONSTANTS(:,40) = strpad('c_Glc_cap in component main (mM)');
    LEGEND_CONSTANTS(:,17) = strpad('u_w_gut in component main (kPa)');
    LEGEND_CONSTANTS(:,41) = strpad('u_w_epi in component main (kPa)');
    LEGEND_CONSTANTS(:,18) = strpad('u_w_cap in component main (kPa)');
    LEGEND_CONSTANTS(:,19) = strpad('E_w_epi in component main (joule)');
    LEGEND_CONSTANTS(:,20) = strpad('U_w_epi in component main (litre)');
    LEGEND_CONSTANTS(:,21) = strpad('L_w_epi in component main (litre)');
    LEGEND_ALGEBRAIC(:,7) = strpad('v_w_epiApex in component main (L_per_s)');
    LEGEND_ALGEBRAIC(:,9) = strpad('v_w_epiBase in component main (L_per_s)');
    LEGEND_CONSTANTS(:,22) = strpad('k_w_m in component main (L_per_s_per_kPa)');
    LEGEND_CONSTANTS(:,23) = strpad('c_O2 in component main (mM)');
    LEGEND_CONSTANTS(:,24) = strpad('c_CO2 in component main (mM)');
    LEGEND_CONSTANTS(:,25) = strpad('c_HCO3 in component main (mM)');
    LEGEND_STATES(:,7) = strpad('q_ATP in component main (mole)');
    LEGEND_STATES(:,8) = strpad('q_ADP in component main (mole)');
    LEGEND_STATES(:,9) = strpad('q_Pi in component main (mole)');
    LEGEND_CONSTANTS(:,26) = strpad('q_H in component main (mole)');
    LEGEND_ALGEBRAIC(:,2) = strpad('q_adenosine in component main (mole)');
    LEGEND_ALGEBRAIC(:,18) = strpad('c_ATP in component main (mM)');
    LEGEND_ALGEBRAIC(:,21) = strpad('c_ADP in component main (mM)');
    LEGEND_ALGEBRAIC(:,22) = strpad('c_Pi in component main (mM)');
    LEGEND_CONSTANTS(:,42) = strpad('c_H in component main (mM)');
    LEGEND_CONSTANTS(:,27) = strpad('kappa_SGLT1 in component main (mol_per_s)');
    LEGEND_ALGEBRAIC(:,23) = strpad('v_SGLT1 in component main (mol_per_s)');
    LEGEND_CONSTANTS(:,28) = strpad('kappa_GLUT2 in component main (mol_per_s)');
    LEGEND_ALGEBRAIC(:,25) = strpad('v_GLUT2 in component main (mol_per_s)');
    LEGEND_CONSTANTS(:,29) = strpad('k_ATP_eq in component main (mM2)');
    LEGEND_CONSTANTS(:,30) = strpad('kappa_NKE in component main (mol_per_s)');
    LEGEND_ALGEBRAIC(:,26) = strpad('v_NKE in component main (mol_per_s)');
    LEGEND_CONSTANTS(:,31) = strpad('kappa_NKCC1 in component main (mol_per_s)');
    LEGEND_ALGEBRAIC(:,27) = strpad('v_NKCC1 in component main (mol_per_s)');
    LEGEND_CONSTANTS(:,32) = strpad('kappa_KCC1 in component main (mol_per_s)');
    LEGEND_ALGEBRAIC(:,29) = strpad('v_KCC1 in component main (mol_per_s)');
    LEGEND_CONSTANTS(:,33) = strpad('kappa_K in component main (C_per_J_per_s)');
    LEGEND_ALGEBRAIC(:,31) = strpad('v_K in component main (mol_per_s)');
    LEGEND_ALGEBRAIC(:,30) = strpad('GHKterm in component main (J_per_C)');
    LEGEND_CONSTANTS(:,34) = strpad('kappa_Na in component main (per_s_per_V)');
    LEGEND_ALGEBRAIC(:,32) = strpad('v_Na in component main (mol_per_s)');
    LEGEND_CONSTANTS(:,35) = strpad('k_AM_eq in component main (per_mM)');
    LEGEND_CONSTANTS(:,36) = strpad('kappa_AM in component main (mol_per_s)');
    LEGEND_ALGEBRAIC(:,28) = strpad('v_AM in component main (mol_per_s)');
    LEGEND_ALGEBRAIC(:,19) = strpad('u_SGLT1_reversal in component main (J_per_C)');
    LEGEND_ALGEBRAIC(:,12) = strpad('u_K_reversal in component main (J_per_C)');
    LEGEND_ALGEBRAIC(:,10) = strpad('u_Na_reversal in component main (J_per_C)');
    LEGEND_ALGEBRAIC(:,20) = strpad('c_Na_gutThreshold in component main (mM)');
    LEGEND_ALGEBRAIC(:,24) = strpad('c_Na_epiEquilibrium in component main (mM)');
    LEGEND_ALGEBRAIC(:,13) = strpad('c_Cl_epiEquilibrium in component main (mM)');
    LEGEND_RATES(:,1) = strpad('d/dt q_Na_gut in component main (mole)');
    LEGEND_RATES(:,2) = strpad('d/dt q_Na_epi in component main (mole)');
    LEGEND_RATES(:,3) = strpad('d/dt q_K_epi in component main (mole)');
    LEGEND_RATES(:,4) = strpad('d/dt q_Cl_epi in component main (mole)');
    LEGEND_RATES(:,5) = strpad('d/dt q_e in component main (coulomb)');
    LEGEND_RATES(:,6) = strpad('d/dt q_Glc_epi in component main (mole)');
    LEGEND_RATES(:,7) = strpad('d/dt q_ATP in component main (mole)');
    LEGEND_RATES(:,8) = strpad('d/dt q_ADP in component main (mole)');
    LEGEND_RATES(:,9) = strpad('d/dt q_Pi 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) = 0.1;
    CONSTANTS(:,2) = 2.5e3;
    CONSTANTS(:,3) = 0.965e5;
    CONSTANTS(:,4) = 1;
    CONSTANTS(:,5) = 1;
    CONSTANTS(:,6) = 1;
    STATES(:,1) = 0.1;
    STATES(:,2) = 0.001;
    CONSTANTS(:,7) = 0.140;
    CONSTANTS(:,8) = 1.0;
    CONSTANTS(:,9) = 1.e3;
    STATES(:,3) = 0.130;
    CONSTANTS(:,10) = 0.004;
    STATES(:,4) = 0.001;
    CONSTANTS(:,11) = 0.100;
    STATES(:,5) = 1e-5;
    CONSTANTS(:,12) = -0.08;
    CONSTANTS(:,13) = 5e4;
    STATES(:,6) = 0.001;
    CONSTANTS(:,14) = 0.01;
    CONSTANTS(:,15) = 0.01;
    CONSTANTS(:,16) = 1.0;
    CONSTANTS(:,17) = 1;
    CONSTANTS(:,18) = 1;
    CONSTANTS(:,19) = 1;
    CONSTANTS(:,20) = 0.5;
    CONSTANTS(:,21) = 5;
    CONSTANTS(:,22) = 1e-4;
    CONSTANTS(:,23) = 9.25;
    CONSTANTS(:,24) = 1.20;
    CONSTANTS(:,25) = 25.0;
    STATES(:,7) = 0.003;
    STATES(:,8) = 0.0025;
    STATES(:,9) = 0.003;
    CONSTANTS(:,26) = 1e-7;
    CONSTANTS(:,27) = 1e-2;
    CONSTANTS(:,28) = 1e1;
    CONSTANTS(:,29) = 2e4;
    CONSTANTS(:,30) = 1e2;
    CONSTANTS(:,31) = 1e-1;
    CONSTANTS(:,32) = 1e-1;
    CONSTANTS(:,33) = 2e3;
    CONSTANTS(:,34) = 0;
    CONSTANTS(:,35) = 1e0;
    CONSTANTS(:,36) = 1e1;
    CONSTANTS(:,37) = CONSTANTS(:,4)+CONSTANTS(:,5)+CONSTANTS(:,6);
    CONSTANTS(:,38) = ( CONSTANTS(:,10).*CONSTANTS(:,9))./CONSTANTS(:,6);
    CONSTANTS(:,39) = ( CONSTANTS(:,11).*CONSTANTS(:,9))./CONSTANTS(:,6);
    CONSTANTS(:,40) = ( CONSTANTS(:,14).*CONSTANTS(:,9))./CONSTANTS(:,6);
    CONSTANTS(:,41) = ( CONSTANTS(:,19).*(CONSTANTS(:,5) - CONSTANTS(:,20)))./power(CONSTANTS(:,21) - CONSTANTS(:,5), 2.00000);
    CONSTANTS(:,42) = ( CONSTANTS(:,26).*CONSTANTS(:,9))./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
    ALGEBRAIC(:,3) = ( STATES(:,1).*CONSTANTS(:,9))./CONSTANTS(:,4);
    ALGEBRAIC(:,5) = ( STATES(:,2).*CONSTANTS(:,9))./CONSTANTS(:,5);
    ALGEBRAIC(:,14) = STATES(:,5)./CONSTANTS(:,13);
    ALGEBRAIC(:,15) = piecewise({VOI>CONSTANTS(:,1),  CONSTANTS(:,15).*CONSTANTS(:,16) }, CONSTANTS(:,15));
    ALGEBRAIC(:,16) = ( ALGEBRAIC(:,15).*CONSTANTS(:,9))./CONSTANTS(:,4);
    ALGEBRAIC(:,17) = ( STATES(:,6).*CONSTANTS(:,9))./CONSTANTS(:,5);
    ALGEBRAIC(:,23) = ( CONSTANTS(:,27).*(( power(ALGEBRAIC(:,3)./ALGEBRAIC(:,5), 2.00000).*ALGEBRAIC(:,16))./ALGEBRAIC(:,17) - exp(( 2.00000.*CONSTANTS(:,3).*ALGEBRAIC(:,14))./CONSTANTS(:,2))))./( (1.00000+power(ALGEBRAIC(:,3)./20.0000, 2.00000)).*(1.00000+power(ALGEBRAIC(:,5)./100.000, 2.00000)));
    RATES(:,1) =   - 2.00000.*ALGEBRAIC(:,23);
    ALGEBRAIC(:,25) = ( CONSTANTS(:,28).*(ALGEBRAIC(:,17)./CONSTANTS(:,40) - 1.00000))./(1.00000+ALGEBRAIC(:,17)./5.00000+CONSTANTS(:,40)./10.0000+( ALGEBRAIC(:,17).*CONSTANTS(:,40))./100.000);
    ALGEBRAIC(:,18) = ( STATES(:,7).*CONSTANTS(:,9))./CONSTANTS(:,5);
    ALGEBRAIC(:,21) = ( STATES(:,8).*CONSTANTS(:,9))./CONSTANTS(:,5);
    ALGEBRAIC(:,28) =  CONSTANTS(:,36).*(( CONSTANTS(:,35).*ALGEBRAIC(:,17).*ALGEBRAIC(:,21))./ALGEBRAIC(:,18) - 1.00000);
    RATES(:,6) = (ALGEBRAIC(:,23) - ALGEBRAIC(:,25)) - ALGEBRAIC(:,28);
    ALGEBRAIC(:,1) = piecewise({VOI>CONSTANTS(:,1),  CONSTANTS(:,7).*CONSTANTS(:,8) }, CONSTANTS(:,7));
    ALGEBRAIC(:,6) = ( ALGEBRAIC(:,1).*CONSTANTS(:,9))./CONSTANTS(:,6);
    ALGEBRAIC(:,8) = ( STATES(:,3).*CONSTANTS(:,9))./CONSTANTS(:,5);
    ALGEBRAIC(:,22) = ( STATES(:,9).*CONSTANTS(:,9))./CONSTANTS(:,5);
    ALGEBRAIC(:,26) = ( CONSTANTS(:,30).*(( power(ALGEBRAIC(:,5)./ALGEBRAIC(:,6), 3.00000).*ALGEBRAIC(:,18).*CONSTANTS(:,29))./( ALGEBRAIC(:,21).*ALGEBRAIC(:,22).*CONSTANTS(:,42)) -  power(ALGEBRAIC(:,8)./CONSTANTS(:,38), 2.00000).*exp(( CONSTANTS(:,3).*ALGEBRAIC(:,14))./CONSTANTS(:,2))))./( (1.00000+power(ALGEBRAIC(:,5)./1.00000, 3.00000)).*(1.00000+power(ALGEBRAIC(:,6)./100.000, 3.00000)));
    RATES(:,7) =  - ALGEBRAIC(:,26)+ 32.0000.*ALGEBRAIC(:,28);
    RATES(:,8) = ALGEBRAIC(:,26) -  32.0000.*ALGEBRAIC(:,28);
    RATES(:,9) = ALGEBRAIC(:,26) -  32.0000.*ALGEBRAIC(:,28);
    ALGEBRAIC(:,11) = ( STATES(:,4).*CONSTANTS(:,9))./CONSTANTS(:,5);
    ALGEBRAIC(:,27) = ( CONSTANTS(:,31).*( (( (ALGEBRAIC(:,6)./ALGEBRAIC(:,5)).*CONSTANTS(:,38))./ALGEBRAIC(:,8)).*power(CONSTANTS(:,39)./ALGEBRAIC(:,11), 2.00000) - 1.00000))./( (1.00000+ALGEBRAIC(:,6)./70.0000).*(1.00000+ALGEBRAIC(:,5)./5.00000).*(1.00000+CONSTANTS(:,38)./2.00000).*(1.00000+ALGEBRAIC(:,8)./60.0000).*(1.00000+power(CONSTANTS(:,39)./50.0000, 2.00000)).*(1.00000+power(ALGEBRAIC(:,11)./10.0000, 2.00000)));
    ALGEBRAIC(:,29) = ( CONSTANTS(:,32).*(( (ALGEBRAIC(:,8)./CONSTANTS(:,38)).*ALGEBRAIC(:,11))./CONSTANTS(:,39) - 1.00000))./( (1.00000+CONSTANTS(:,39)./50.0000).*(1.00000+CONSTANTS(:,38)./2.00000).*(1.00000+ALGEBRAIC(:,11)./10.0000).*(1.00000+ALGEBRAIC(:,8)./60.0000));
    RATES(:,4) =  2.00000.*ALGEBRAIC(:,27) - ALGEBRAIC(:,29);
    ALGEBRAIC(:,30) = ALGEBRAIC(:,14)./(exp(( CONSTANTS(:,3).*ALGEBRAIC(:,14))./CONSTANTS(:,2)) - 1.00000);
    ALGEBRAIC(:,31) =  CONSTANTS(:,33).*( STATES(:,3).*exp(( CONSTANTS(:,3).*ALGEBRAIC(:,14))./CONSTANTS(:,2)) - CONSTANTS(:,10)).*ALGEBRAIC(:,30);
    RATES(:,3) = (( 2.00000.*ALGEBRAIC(:,26) - ALGEBRAIC(:,31))+ALGEBRAIC(:,27)) - ALGEBRAIC(:,29);
    ALGEBRAIC(:,32) =  CONSTANTS(:,34).*(ALGEBRAIC(:,1) -  STATES(:,2).*exp(( CONSTANTS(:,3).*ALGEBRAIC(:,14))./CONSTANTS(:,2))).*ALGEBRAIC(:,30);
    RATES(:,2) = ( 2.00000.*ALGEBRAIC(:,23) -  3.00000.*ALGEBRAIC(:,26))+ALGEBRAIC(:,27)+ALGEBRAIC(:,32);
    RATES(:,5) =  CONSTANTS(:,3).*((( 2.00000.*ALGEBRAIC(:,23) - ALGEBRAIC(:,26)) - ALGEBRAIC(:,31))+ALGEBRAIC(:,32));
   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(:,3) = ( STATES(:,1).*CONSTANTS(:,9))./CONSTANTS(:,4);
    ALGEBRAIC(:,5) = ( STATES(:,2).*CONSTANTS(:,9))./CONSTANTS(:,5);
    ALGEBRAIC(:,14) = STATES(:,5)./CONSTANTS(:,13);
    ALGEBRAIC(:,15) = piecewise({VOI>CONSTANTS(:,1),  CONSTANTS(:,15).*CONSTANTS(:,16) }, CONSTANTS(:,15));
    ALGEBRAIC(:,16) = ( ALGEBRAIC(:,15).*CONSTANTS(:,9))./CONSTANTS(:,4);
    ALGEBRAIC(:,17) = ( STATES(:,6).*CONSTANTS(:,9))./CONSTANTS(:,5);
    ALGEBRAIC(:,23) = ( CONSTANTS(:,27).*(( power(ALGEBRAIC(:,3)./ALGEBRAIC(:,5), 2.00000).*ALGEBRAIC(:,16))./ALGEBRAIC(:,17) - exp(( 2.00000.*CONSTANTS(:,3).*ALGEBRAIC(:,14))./CONSTANTS(:,2))))./( (1.00000+power(ALGEBRAIC(:,3)./20.0000, 2.00000)).*(1.00000+power(ALGEBRAIC(:,5)./100.000, 2.00000)));
    ALGEBRAIC(:,25) = ( CONSTANTS(:,28).*(ALGEBRAIC(:,17)./CONSTANTS(:,40) - 1.00000))./(1.00000+ALGEBRAIC(:,17)./5.00000+CONSTANTS(:,40)./10.0000+( ALGEBRAIC(:,17).*CONSTANTS(:,40))./100.000);
    ALGEBRAIC(:,18) = ( STATES(:,7).*CONSTANTS(:,9))./CONSTANTS(:,5);
    ALGEBRAIC(:,21) = ( STATES(:,8).*CONSTANTS(:,9))./CONSTANTS(:,5);
    ALGEBRAIC(:,28) =  CONSTANTS(:,36).*(( CONSTANTS(:,35).*ALGEBRAIC(:,17).*ALGEBRAIC(:,21))./ALGEBRAIC(:,18) - 1.00000);
    ALGEBRAIC(:,1) = piecewise({VOI>CONSTANTS(:,1),  CONSTANTS(:,7).*CONSTANTS(:,8) }, CONSTANTS(:,7));
    ALGEBRAIC(:,6) = ( ALGEBRAIC(:,1).*CONSTANTS(:,9))./CONSTANTS(:,6);
    ALGEBRAIC(:,8) = ( STATES(:,3).*CONSTANTS(:,9))./CONSTANTS(:,5);
    ALGEBRAIC(:,22) = ( STATES(:,9).*CONSTANTS(:,9))./CONSTANTS(:,5);
    ALGEBRAIC(:,26) = ( CONSTANTS(:,30).*(( power(ALGEBRAIC(:,5)./ALGEBRAIC(:,6), 3.00000).*ALGEBRAIC(:,18).*CONSTANTS(:,29))./( ALGEBRAIC(:,21).*ALGEBRAIC(:,22).*CONSTANTS(:,42)) -  power(ALGEBRAIC(:,8)./CONSTANTS(:,38), 2.00000).*exp(( CONSTANTS(:,3).*ALGEBRAIC(:,14))./CONSTANTS(:,2))))./( (1.00000+power(ALGEBRAIC(:,5)./1.00000, 3.00000)).*(1.00000+power(ALGEBRAIC(:,6)./100.000, 3.00000)));
    ALGEBRAIC(:,11) = ( STATES(:,4).*CONSTANTS(:,9))./CONSTANTS(:,5);
    ALGEBRAIC(:,27) = ( CONSTANTS(:,31).*( (( (ALGEBRAIC(:,6)./ALGEBRAIC(:,5)).*CONSTANTS(:,38))./ALGEBRAIC(:,8)).*power(CONSTANTS(:,39)./ALGEBRAIC(:,11), 2.00000) - 1.00000))./( (1.00000+ALGEBRAIC(:,6)./70.0000).*(1.00000+ALGEBRAIC(:,5)./5.00000).*(1.00000+CONSTANTS(:,38)./2.00000).*(1.00000+ALGEBRAIC(:,8)./60.0000).*(1.00000+power(CONSTANTS(:,39)./50.0000, 2.00000)).*(1.00000+power(ALGEBRAIC(:,11)./10.0000, 2.00000)));
    ALGEBRAIC(:,29) = ( CONSTANTS(:,32).*(( (ALGEBRAIC(:,8)./CONSTANTS(:,38)).*ALGEBRAIC(:,11))./CONSTANTS(:,39) - 1.00000))./( (1.00000+CONSTANTS(:,39)./50.0000).*(1.00000+CONSTANTS(:,38)./2.00000).*(1.00000+ALGEBRAIC(:,11)./10.0000).*(1.00000+ALGEBRAIC(:,8)./60.0000));
    ALGEBRAIC(:,30) = ALGEBRAIC(:,14)./(exp(( CONSTANTS(:,3).*ALGEBRAIC(:,14))./CONSTANTS(:,2)) - 1.00000);
    ALGEBRAIC(:,31) =  CONSTANTS(:,33).*( STATES(:,3).*exp(( CONSTANTS(:,3).*ALGEBRAIC(:,14))./CONSTANTS(:,2)) - CONSTANTS(:,10)).*ALGEBRAIC(:,30);
    ALGEBRAIC(:,32) =  CONSTANTS(:,34).*(ALGEBRAIC(:,1) -  STATES(:,2).*exp(( CONSTANTS(:,3).*ALGEBRAIC(:,14))./CONSTANTS(:,2))).*ALGEBRAIC(:,30);
    ALGEBRAIC(:,2) = STATES(:,7)+STATES(:,8);
    ALGEBRAIC(:,4) = STATES(:,1)+STATES(:,2)+ALGEBRAIC(:,1);
    ALGEBRAIC(:,7) =  CONSTANTS(:,22).*((CONSTANTS(:,17) - CONSTANTS(:,41)) -  (CONSTANTS(:,2)./CONSTANTS(:,9)).*(ALGEBRAIC(:,3) - ALGEBRAIC(:,5)));
    ALGEBRAIC(:,9) =  CONSTANTS(:,22).*((CONSTANTS(:,41) - CONSTANTS(:,18)) -  (CONSTANTS(:,2)./CONSTANTS(:,9)).*(ALGEBRAIC(:,5) - ALGEBRAIC(:,6)));
    ALGEBRAIC(:,10) =  (CONSTANTS(:,2)./CONSTANTS(:,3)).*log(ALGEBRAIC(:,6)./ALGEBRAIC(:,5));
    ALGEBRAIC(:,12) =  (CONSTANTS(:,2)./CONSTANTS(:,3)).*log(CONSTANTS(:,38)./ALGEBRAIC(:,8));
    ALGEBRAIC(:,13) =  CONSTANTS(:,39).*power((( (ALGEBRAIC(:,6)./ALGEBRAIC(:,5)).*CONSTANTS(:,38))./ALGEBRAIC(:,8)), 1.0 ./ 2);
    ALGEBRAIC(:,19) =  (CONSTANTS(:,2)./( 2.00000.*CONSTANTS(:,3))).*log(( power(ALGEBRAIC(:,3)./ALGEBRAIC(:,5), 2.00000).*ALGEBRAIC(:,16))./ALGEBRAIC(:,17));
    ALGEBRAIC(:,20) =  ALGEBRAIC(:,5).*power((ALGEBRAIC(:,17)./ALGEBRAIC(:,16)), 1.0 ./ 2).*exp(( CONSTANTS(:,3).*ALGEBRAIC(:,14))./CONSTANTS(:,2));
    ALGEBRAIC(:,24) =  ALGEBRAIC(:,6).*power(( (ALGEBRAIC(:,21)./ALGEBRAIC(:,18)).*ALGEBRAIC(:,22).*CONSTANTS(:,42))./CONSTANTS(:,29), 0.333340).*power(ALGEBRAIC(:,8)./CONSTANTS(:,38), 0.666670).*exp(( CONSTANTS(:,3).*ALGEBRAIC(:,14))./( 3.00000.*CONSTANTS(:,2)));
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