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