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 =30;
end
% There are a total of 9 entries in each of the rate and state variable arrays.
% There are a total of 27 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('C_m_Imp in component imported_variables (mmol_per_cm3)');
    LEGEND_CONSTANTS(:,2) = strpad('C_c_Imp in component imported_variables (mmol_per_cm3)');
    LEGEND_CONSTANTS(:,3) = strpad('psi_m in component imported_variables (millivolt)');
    LEGEND_CONSTANTS(:,4) = strpad('psi_c in component imported_variables (millivolt)');
    LEGEND_STATES(:,1) = strpad('C_m_Na in component solute_concentrations (mmol_per_cm3)');
    LEGEND_STATES(:,2) = strpad('C_m_K in component solute_concentrations (mmol_per_cm3)');
    LEGEND_STATES(:,3) = strpad('C_m_Cl in component solute_concentrations (mmol_per_cm3)');
    LEGEND_STATES(:,4) = strpad('C_c_Na in component solute_concentrations (mmol_per_cm3)');
    LEGEND_STATES(:,5) = strpad('C_c_K in component solute_concentrations (mmol_per_cm3)');
    LEGEND_STATES(:,6) = strpad('C_c_Cl in component solute_concentrations (mmol_per_cm3)');
    LEGEND_STATES(:,7) = strpad('C_s_Na in component solute_concentrations (mmol_per_cm3)');
    LEGEND_STATES(:,8) = strpad('C_s_K in component solute_concentrations (mmol_per_cm3)');
    LEGEND_STATES(:,9) = strpad('C_s_Cl in component solute_concentrations (mmol_per_cm3)');
    LEGEND_ALGEBRAIC(:,5) = strpad('J_mc_Na in component mc_sodium_flux (flux)');
    LEGEND_ALGEBRAIC(:,23) = strpad('J_ms_Na in component ms_sodium_flux (flux)');
    LEGEND_ALGEBRAIC(:,17) = strpad('J_sc_Na in component sc_sodium_flux (flux)');
    LEGEND_ALGEBRAIC(:,12) = strpad('J_mc_K in component mc_potassium_flux (flux)');
    LEGEND_ALGEBRAIC(:,26) = strpad('J_ms_K in component ms_potassium_flux (flux)');
    LEGEND_ALGEBRAIC(:,21) = strpad('J_sc_K in component sc_potassium_flux (flux)');
    LEGEND_ALGEBRAIC(:,16) = strpad('J_mc_Cl in component mc_chloride_flux (flux)');
    LEGEND_ALGEBRAIC(:,27) = strpad('J_ms_Cl in component ms_chloride_flux (flux)');
    LEGEND_ALGEBRAIC(:,22) = strpad('J_sc_Cl in component sc_chloride_flux (flux)');
    LEGEND_CONSTANTS(:,5) = strpad('RT in component constants (J_per_mmol)');
    LEGEND_CONSTANTS(:,6) = strpad('F in component constants (C_per_mmol)');
    LEGEND_CONSTANTS(:,7) = strpad('C_s_Imp in component constants (mmol_per_cm3)');
    LEGEND_CONSTANTS(:,8) = strpad('psi_s in component constants (millivolt)');
    LEGEND_ALGEBRAIC(:,3) = strpad('J_mc_NaCl in component mc_sodium_flux (flux)');
    LEGEND_ALGEBRAIC(:,1) = strpad('G_mc_Na in component mc_sodium_flux (flux)');
    LEGEND_CONSTANTS(:,9) = strpad('P_mc_Na in component mc_sodium_flux (cm_per_s)');
    LEGEND_CONSTANTS(:,10) = strpad('J_mc_NaCl_max in component mc_sodium_flux (flux)');
    LEGEND_CONSTANTS(:,11) = strpad('K_mc_Na_NaCl in component mc_sodium_flux (mmol_per_cm3)');
    LEGEND_CONSTANTS(:,12) = strpad('K_mc_Cl_NaCl in component mc_sodium_flux (mmol_per_cm3)');
    LEGEND_ALGEBRAIC(:,10) = strpad('J_mc_KCl in component mc_potassium_flux (flux)');
    LEGEND_ALGEBRAIC(:,7) = strpad('G_mc_K in component mc_potassium_flux (flux)');
    LEGEND_CONSTANTS(:,13) = strpad('J_mc_KCl_max in component mc_potassium_flux (flux)');
    LEGEND_CONSTANTS(:,14) = strpad('K_mc_K_KCl in component mc_potassium_flux (mmol_per_cm3)');
    LEGEND_CONSTANTS(:,15) = strpad('K_mc_Cl_KCl in component mc_potassium_flux (mmol_per_cm3)');
    LEGEND_CONSTANTS(:,16) = strpad('P_mc_K in component mc_potassium_flux (cm_per_s)');
    LEGEND_ALGEBRAIC(:,13) = strpad('G_mc_Cl in component mc_chloride_flux (flux)');
    LEGEND_CONSTANTS(:,17) = strpad('P_mc_Cl in component mc_chloride_flux (cm_per_s)');
    LEGEND_ALGEBRAIC(:,15) = strpad('J_a in component sc_sodium_flux (flux)');
    LEGEND_CONSTANTS(:,18) = strpad('J_a_max in component sc_sodium_flux (flux)');
    LEGEND_CONSTANTS(:,19) = strpad('K_Na_ATPase in component sc_sodium_flux (mmol_per_cm3)');
    LEGEND_ALGEBRAIC(:,18) = strpad('G_sc_K in component sc_potassium_flux (flux)');
    LEGEND_CONSTANTS(:,20) = strpad('P_sc_K in component sc_potassium_flux (cm_per_s)');
    LEGEND_ALGEBRAIC(:,19) = strpad('G_sc_Cl in component sc_chloride_flux (flux)');
    LEGEND_CONSTANTS(:,21) = strpad('P_sc_Cl in component sc_chloride_flux (cm_per_s)');
    LEGEND_ALGEBRAIC(:,20) = strpad('G_ms_Na in component ms_sodium_flux (flux)');
    LEGEND_CONSTANTS(:,22) = strpad('P_ms_Na in component ms_sodium_flux (cm_per_s)');
    LEGEND_ALGEBRAIC(:,24) = strpad('G_ms_K in component ms_potassium_flux (flux)');
    LEGEND_CONSTANTS(:,23) = strpad('P_ms_K in component ms_potassium_flux (cm_per_s)');
    LEGEND_ALGEBRAIC(:,25) = strpad('G_ms_Cl in component ms_chloride_flux (flux)');
    LEGEND_CONSTANTS(:,24) = strpad('P_ms_Cl in component ms_chloride_flux (cm_per_s)');
    LEGEND_ALGEBRAIC(:,28) = strpad('J_Na in component total_transepithelial_sodium_flux (flux)');
    LEGEND_ALGEBRAIC(:,29) = strpad('J_K in component total_transepithelial_potassium_flux (flux)');
    LEGEND_ALGEBRAIC(:,30) = strpad('J_Cl in component total_transepithelial_chloride_flux (flux)');
    LEGEND_ALGEBRAIC(:,2) = strpad('Osm_m in component osmolarities (mmol_per_cm3)');
    LEGEND_ALGEBRAIC(:,4) = strpad('Osm_c in component osmolarities (mmol_per_cm3)');
    LEGEND_ALGEBRAIC(:,6) = strpad('Osm_s in component osmolarities (mmol_per_cm3)');
    LEGEND_ALGEBRAIC(:,8) = strpad('J_mc_v in component mc_transepithelial_volume_flux (cm_per_s)');
    LEGEND_CONSTANTS(:,25) = strpad('L_mc_v in component mc_transepithelial_volume_flux (cm_per_s_mmHg)');
    LEGEND_ALGEBRAIC(:,11) = strpad('J_ms_v in component ms_transepithelial_volume_flux (cm_per_s)');
    LEGEND_CONSTANTS(:,26) = strpad('L_ms_v in component ms_transepithelial_volume_flux (cm_per_s_mmHg)');
    LEGEND_ALGEBRAIC(:,9) = strpad('J_sc_v in component sc_transepithelial_volume_flux (cm_per_s)');
    LEGEND_CONSTANTS(:,27) = strpad('L_sc_v in component sc_transepithelial_volume_flux (cm_per_s_mmHg)');
    LEGEND_ALGEBRAIC(:,14) = strpad('J_v in component total_transepithelial_volume_flux (cm_per_s)');
    LEGEND_RATES(:,1) = strpad('d/dt C_m_Na in component solute_concentrations (mmol_per_cm3)');
    LEGEND_RATES(:,7) = strpad('d/dt C_s_Na in component solute_concentrations (mmol_per_cm3)');
    LEGEND_RATES(:,4) = strpad('d/dt C_c_Na in component solute_concentrations (mmol_per_cm3)');
    LEGEND_RATES(:,2) = strpad('d/dt C_m_K in component solute_concentrations (mmol_per_cm3)');
    LEGEND_RATES(:,8) = strpad('d/dt C_s_K in component solute_concentrations (mmol_per_cm3)');
    LEGEND_RATES(:,5) = strpad('d/dt C_c_K in component solute_concentrations (mmol_per_cm3)');
    LEGEND_RATES(:,3) = strpad('d/dt C_m_Cl in component solute_concentrations (mmol_per_cm3)');
    LEGEND_RATES(:,9) = strpad('d/dt C_s_Cl in component solute_concentrations (mmol_per_cm3)');
    LEGEND_RATES(:,6) = strpad('d/dt C_c_Cl in component solute_concentrations (mmol_per_cm3)');
    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) = 0.1033;
    CONSTANTS(:,2) = 0.1124;
    CONSTANTS(:,3) = -28.0;
    CONSTANTS(:,4) = -86.4;
    STATES(:,1) = 0.05;
    STATES(:,2) = 0.002;
    STATES(:,3) = 0.03;
    STATES(:,4) = 0.0164;
    STATES(:,5) = 0.1637;
    STATES(:,6) = 0.0203;
    STATES(:,7) = 1.438E-1;
    STATES(:,8) = 4.25E-3;
    STATES(:,9) = 1.12E-1;
    CONSTANTS(:,5) = 2.579;
    CONSTANTS(:,6) = 96.48;
    CONSTANTS(:,7) = 4.525E-2;
    CONSTANTS(:,8) = 0.0;
    CONSTANTS(:,9) = 3.27E-6;
    CONSTANTS(:,10) = 3.21E-5;
    CONSTANTS(:,11) = 5.11E-2;
    CONSTANTS(:,12) = 1.92E-2;
    CONSTANTS(:,13) = 6.31E-8;
    CONSTANTS(:,14) = 5.30E-2;
    CONSTANTS(:,15) = 2.13E-2;
    CONSTANTS(:,16) = 4.90E-7;
    CONSTANTS(:,17) = 1.43E-6;
    CONSTANTS(:,18) = 2.69E-6;
    CONSTANTS(:,19) = 1.20E-2;
    CONSTANTS(:,20) = 4.74E-4;
    CONSTANTS(:,21) = 9.16E-5;
    CONSTANTS(:,22) = 4.80E-6;
    CONSTANTS(:,23) = 4.80E-6;
    CONSTANTS(:,24) = 2.40E-6;
    CONSTANTS(:,25) = 5.22E-9;
    CONSTANTS(:,26) = 0.0;
    CONSTANTS(:,27) = 5.22E-7;
    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) =  CONSTANTS(:,10).*(( (STATES(:,1)./CONSTANTS(:,11)).*(STATES(:,3)./CONSTANTS(:,12)) -  (STATES(:,4)./CONSTANTS(:,11)).*(STATES(:,6)./CONSTANTS(:,12)))./( (1.00000+ (STATES(:,1)./CONSTANTS(:,11)).*(STATES(:,3)./CONSTANTS(:,12))).*(1.00000+STATES(:,4)./CONSTANTS(:,11)).*(1.00000+STATES(:,6)./CONSTANTS(:,12))+ (1.00000+ (STATES(:,4)./CONSTANTS(:,11)).*(STATES(:,6)./CONSTANTS(:,12))).*(1.00000+STATES(:,1)./CONSTANTS(:,11)).*(1.00000+STATES(:,3)./CONSTANTS(:,12))));
    ALGEBRAIC(:,1) =  CONSTANTS(:,9).*(( CONSTANTS(:,6).*(CONSTANTS(:,3) - CONSTANTS(:,4)))./CONSTANTS(:,5)).*((STATES(:,1) -  STATES(:,4).*exp(  - (CONSTANTS(:,6)./CONSTANTS(:,5)).*(CONSTANTS(:,3) - CONSTANTS(:,4))))./(1.00000 - exp(  - (CONSTANTS(:,6)./CONSTANTS(:,5)).*(CONSTANTS(:,3) - CONSTANTS(:,4)))));
    ALGEBRAIC(:,5) = ALGEBRAIC(:,3)+ALGEBRAIC(:,1);
    ALGEBRAIC(:,15) =  CONSTANTS(:,18).*(1.00000./(1.00000+power(CONSTANTS(:,19)./STATES(:,4), 3.00000)));
    ALGEBRAIC(:,17) =  -3.00000.*ALGEBRAIC(:,15);
    RATES(:,4) = ALGEBRAIC(:,5)+ALGEBRAIC(:,17);
    ALGEBRAIC(:,10) =  CONSTANTS(:,13).*(( (STATES(:,2)./CONSTANTS(:,14)).*(STATES(:,3)./CONSTANTS(:,15)) -  (STATES(:,5)./CONSTANTS(:,14)).*(STATES(:,6)./CONSTANTS(:,15)))./( (1.00000+ (STATES(:,2)./CONSTANTS(:,14)).*(STATES(:,3)./CONSTANTS(:,15))).*(1.00000+STATES(:,5)./CONSTANTS(:,14)).*(1.00000+STATES(:,6)./CONSTANTS(:,15))+ (1.00000+ (STATES(:,5)./CONSTANTS(:,14)).*(STATES(:,6)./CONSTANTS(:,15))).*(1.00000+STATES(:,2)./CONSTANTS(:,14)).*(1.00000+STATES(:,3)./CONSTANTS(:,15))));
    ALGEBRAIC(:,7) =  CONSTANTS(:,16).*(( CONSTANTS(:,6).*(CONSTANTS(:,3) - CONSTANTS(:,4)))./CONSTANTS(:,5)).*((STATES(:,2) -  STATES(:,5).*exp(  - (CONSTANTS(:,6)./CONSTANTS(:,5)).*(CONSTANTS(:,3) - CONSTANTS(:,4))))./(1.00000 - exp(  - (CONSTANTS(:,6)./CONSTANTS(:,5)).*(CONSTANTS(:,3) - CONSTANTS(:,4)))));
    ALGEBRAIC(:,12) = ALGEBRAIC(:,10)+ALGEBRAIC(:,7);
    ALGEBRAIC(:,18) =  CONSTANTS(:,20).*(( CONSTANTS(:,6).*(CONSTANTS(:,8) - CONSTANTS(:,4)))./CONSTANTS(:,5)).*((STATES(:,8) -  STATES(:,5).*exp(  - (CONSTANTS(:,6)./CONSTANTS(:,5)).*(CONSTANTS(:,8) - CONSTANTS(:,4))))./(1.00000 - exp(  - (CONSTANTS(:,6)./CONSTANTS(:,5)).*(CONSTANTS(:,8) - CONSTANTS(:,4)))));
    ALGEBRAIC(:,21) =  2.00000.*ALGEBRAIC(:,15)+ALGEBRAIC(:,18);
    RATES(:,5) = ALGEBRAIC(:,12)+ALGEBRAIC(:,21);
    ALGEBRAIC(:,13) =  CONSTANTS(:,17).*(( -1.00000.*CONSTANTS(:,6).*(CONSTANTS(:,3) - CONSTANTS(:,4)))./CONSTANTS(:,5)).*((STATES(:,3) -  STATES(:,6).*exp(  - (( -1.00000.*CONSTANTS(:,6))./CONSTANTS(:,5)).*(CONSTANTS(:,3) - CONSTANTS(:,4))))./(1.00000 - exp(  - (( -1.00000.*CONSTANTS(:,6))./CONSTANTS(:,5)).*(CONSTANTS(:,3) - CONSTANTS(:,4)))));
    ALGEBRAIC(:,16) = ALGEBRAIC(:,3)+ALGEBRAIC(:,10)+ALGEBRAIC(:,13);
    ALGEBRAIC(:,19) =  CONSTANTS(:,21).*(( -1.00000.*CONSTANTS(:,6).*(CONSTANTS(:,8) - CONSTANTS(:,4)))./CONSTANTS(:,5)).*((STATES(:,9) -  STATES(:,6).*exp(  - (( -1.00000.*CONSTANTS(:,6))./CONSTANTS(:,5)).*(CONSTANTS(:,8) - CONSTANTS(:,4))))./(1.00000 - exp(  - (( -1.00000.*CONSTANTS(:,6))./CONSTANTS(:,5)).*(CONSTANTS(:,8) - CONSTANTS(:,4)))));
    ALGEBRAIC(:,22) = ALGEBRAIC(:,19);
    RATES(:,6) = ALGEBRAIC(:,16)+ALGEBRAIC(:,22);
    ALGEBRAIC(:,20) =  CONSTANTS(:,22).*(( CONSTANTS(:,6).*(CONSTANTS(:,3) - CONSTANTS(:,8)))./CONSTANTS(:,5)).*((STATES(:,1) -  STATES(:,7).*exp(  - (CONSTANTS(:,6)./CONSTANTS(:,5)).*(CONSTANTS(:,3) - CONSTANTS(:,8))))./(1.00000 - exp(  - (CONSTANTS(:,6)./CONSTANTS(:,5)).*(CONSTANTS(:,3) - CONSTANTS(:,8)))));
    ALGEBRAIC(:,23) = ALGEBRAIC(:,20);
    RATES(:,1) =  - (ALGEBRAIC(:,5)+ALGEBRAIC(:,23));
    RATES(:,7) = ALGEBRAIC(:,23) - ALGEBRAIC(:,17);
    ALGEBRAIC(:,24) =  CONSTANTS(:,23).*(( CONSTANTS(:,6).*(CONSTANTS(:,3) - CONSTANTS(:,8)))./CONSTANTS(:,5)).*((STATES(:,2) -  STATES(:,8).*exp(  - (CONSTANTS(:,6)./CONSTANTS(:,5)).*(CONSTANTS(:,3) - CONSTANTS(:,8))))./(1.00000 - exp(  - (CONSTANTS(:,6)./CONSTANTS(:,5)).*(CONSTANTS(:,3) - CONSTANTS(:,8)))));
    ALGEBRAIC(:,26) = ALGEBRAIC(:,24);
    RATES(:,2) =  - (ALGEBRAIC(:,12)+ALGEBRAIC(:,26));
    RATES(:,8) = ALGEBRAIC(:,26) - ALGEBRAIC(:,21);
    ALGEBRAIC(:,25) =  CONSTANTS(:,24).*(( -1.00000.*CONSTANTS(:,6).*(CONSTANTS(:,3) - CONSTANTS(:,8)))./CONSTANTS(:,5)).*((STATES(:,3) -  STATES(:,9).*exp(  - (( -1.00000.*CONSTANTS(:,6))./CONSTANTS(:,5)).*(CONSTANTS(:,3) - CONSTANTS(:,8))))./(1.00000 - exp(  - (( -1.00000.*CONSTANTS(:,6))./CONSTANTS(:,5)).*(CONSTANTS(:,3) - CONSTANTS(:,8)))));
    ALGEBRAIC(:,27) = ALGEBRAIC(:,25);
    RATES(:,3) =  - (ALGEBRAIC(:,16)+ALGEBRAIC(:,27));
    RATES(:,9) = ALGEBRAIC(:,27) - ALGEBRAIC(:,22);
   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) =  CONSTANTS(:,10).*(( (STATES(:,1)./CONSTANTS(:,11)).*(STATES(:,3)./CONSTANTS(:,12)) -  (STATES(:,4)./CONSTANTS(:,11)).*(STATES(:,6)./CONSTANTS(:,12)))./( (1.00000+ (STATES(:,1)./CONSTANTS(:,11)).*(STATES(:,3)./CONSTANTS(:,12))).*(1.00000+STATES(:,4)./CONSTANTS(:,11)).*(1.00000+STATES(:,6)./CONSTANTS(:,12))+ (1.00000+ (STATES(:,4)./CONSTANTS(:,11)).*(STATES(:,6)./CONSTANTS(:,12))).*(1.00000+STATES(:,1)./CONSTANTS(:,11)).*(1.00000+STATES(:,3)./CONSTANTS(:,12))));
    ALGEBRAIC(:,1) =  CONSTANTS(:,9).*(( CONSTANTS(:,6).*(CONSTANTS(:,3) - CONSTANTS(:,4)))./CONSTANTS(:,5)).*((STATES(:,1) -  STATES(:,4).*exp(  - (CONSTANTS(:,6)./CONSTANTS(:,5)).*(CONSTANTS(:,3) - CONSTANTS(:,4))))./(1.00000 - exp(  - (CONSTANTS(:,6)./CONSTANTS(:,5)).*(CONSTANTS(:,3) - CONSTANTS(:,4)))));
    ALGEBRAIC(:,5) = ALGEBRAIC(:,3)+ALGEBRAIC(:,1);
    ALGEBRAIC(:,15) =  CONSTANTS(:,18).*(1.00000./(1.00000+power(CONSTANTS(:,19)./STATES(:,4), 3.00000)));
    ALGEBRAIC(:,17) =  -3.00000.*ALGEBRAIC(:,15);
    ALGEBRAIC(:,10) =  CONSTANTS(:,13).*(( (STATES(:,2)./CONSTANTS(:,14)).*(STATES(:,3)./CONSTANTS(:,15)) -  (STATES(:,5)./CONSTANTS(:,14)).*(STATES(:,6)./CONSTANTS(:,15)))./( (1.00000+ (STATES(:,2)./CONSTANTS(:,14)).*(STATES(:,3)./CONSTANTS(:,15))).*(1.00000+STATES(:,5)./CONSTANTS(:,14)).*(1.00000+STATES(:,6)./CONSTANTS(:,15))+ (1.00000+ (STATES(:,5)./CONSTANTS(:,14)).*(STATES(:,6)./CONSTANTS(:,15))).*(1.00000+STATES(:,2)./CONSTANTS(:,14)).*(1.00000+STATES(:,3)./CONSTANTS(:,15))));
    ALGEBRAIC(:,7) =  CONSTANTS(:,16).*(( CONSTANTS(:,6).*(CONSTANTS(:,3) - CONSTANTS(:,4)))./CONSTANTS(:,5)).*((STATES(:,2) -  STATES(:,5).*exp(  - (CONSTANTS(:,6)./CONSTANTS(:,5)).*(CONSTANTS(:,3) - CONSTANTS(:,4))))./(1.00000 - exp(  - (CONSTANTS(:,6)./CONSTANTS(:,5)).*(CONSTANTS(:,3) - CONSTANTS(:,4)))));
    ALGEBRAIC(:,12) = ALGEBRAIC(:,10)+ALGEBRAIC(:,7);
    ALGEBRAIC(:,18) =  CONSTANTS(:,20).*(( CONSTANTS(:,6).*(CONSTANTS(:,8) - CONSTANTS(:,4)))./CONSTANTS(:,5)).*((STATES(:,8) -  STATES(:,5).*exp(  - (CONSTANTS(:,6)./CONSTANTS(:,5)).*(CONSTANTS(:,8) - CONSTANTS(:,4))))./(1.00000 - exp(  - (CONSTANTS(:,6)./CONSTANTS(:,5)).*(CONSTANTS(:,8) - CONSTANTS(:,4)))));
    ALGEBRAIC(:,21) =  2.00000.*ALGEBRAIC(:,15)+ALGEBRAIC(:,18);
    ALGEBRAIC(:,13) =  CONSTANTS(:,17).*(( -1.00000.*CONSTANTS(:,6).*(CONSTANTS(:,3) - CONSTANTS(:,4)))./CONSTANTS(:,5)).*((STATES(:,3) -  STATES(:,6).*exp(  - (( -1.00000.*CONSTANTS(:,6))./CONSTANTS(:,5)).*(CONSTANTS(:,3) - CONSTANTS(:,4))))./(1.00000 - exp(  - (( -1.00000.*CONSTANTS(:,6))./CONSTANTS(:,5)).*(CONSTANTS(:,3) - CONSTANTS(:,4)))));
    ALGEBRAIC(:,16) = ALGEBRAIC(:,3)+ALGEBRAIC(:,10)+ALGEBRAIC(:,13);
    ALGEBRAIC(:,19) =  CONSTANTS(:,21).*(( -1.00000.*CONSTANTS(:,6).*(CONSTANTS(:,8) - CONSTANTS(:,4)))./CONSTANTS(:,5)).*((STATES(:,9) -  STATES(:,6).*exp(  - (( -1.00000.*CONSTANTS(:,6))./CONSTANTS(:,5)).*(CONSTANTS(:,8) - CONSTANTS(:,4))))./(1.00000 - exp(  - (( -1.00000.*CONSTANTS(:,6))./CONSTANTS(:,5)).*(CONSTANTS(:,8) - CONSTANTS(:,4)))));
    ALGEBRAIC(:,22) = ALGEBRAIC(:,19);
    ALGEBRAIC(:,20) =  CONSTANTS(:,22).*(( CONSTANTS(:,6).*(CONSTANTS(:,3) - CONSTANTS(:,8)))./CONSTANTS(:,5)).*((STATES(:,1) -  STATES(:,7).*exp(  - (CONSTANTS(:,6)./CONSTANTS(:,5)).*(CONSTANTS(:,3) - CONSTANTS(:,8))))./(1.00000 - exp(  - (CONSTANTS(:,6)./CONSTANTS(:,5)).*(CONSTANTS(:,3) - CONSTANTS(:,8)))));
    ALGEBRAIC(:,23) = ALGEBRAIC(:,20);
    ALGEBRAIC(:,24) =  CONSTANTS(:,23).*(( CONSTANTS(:,6).*(CONSTANTS(:,3) - CONSTANTS(:,8)))./CONSTANTS(:,5)).*((STATES(:,2) -  STATES(:,8).*exp(  - (CONSTANTS(:,6)./CONSTANTS(:,5)).*(CONSTANTS(:,3) - CONSTANTS(:,8))))./(1.00000 - exp(  - (CONSTANTS(:,6)./CONSTANTS(:,5)).*(CONSTANTS(:,3) - CONSTANTS(:,8)))));
    ALGEBRAIC(:,26) = ALGEBRAIC(:,24);
    ALGEBRAIC(:,25) =  CONSTANTS(:,24).*(( -1.00000.*CONSTANTS(:,6).*(CONSTANTS(:,3) - CONSTANTS(:,8)))./CONSTANTS(:,5)).*((STATES(:,3) -  STATES(:,9).*exp(  - (( -1.00000.*CONSTANTS(:,6))./CONSTANTS(:,5)).*(CONSTANTS(:,3) - CONSTANTS(:,8))))./(1.00000 - exp(  - (( -1.00000.*CONSTANTS(:,6))./CONSTANTS(:,5)).*(CONSTANTS(:,3) - CONSTANTS(:,8)))));
    ALGEBRAIC(:,27) = ALGEBRAIC(:,25);
    ALGEBRAIC(:,2) = STATES(:,1)+STATES(:,2)+STATES(:,3)+CONSTANTS(:,1);
    ALGEBRAIC(:,4) = STATES(:,4)+STATES(:,5)+STATES(:,6)+CONSTANTS(:,2);
    ALGEBRAIC(:,6) = STATES(:,7)+STATES(:,8)+STATES(:,9)+CONSTANTS(:,7);
    ALGEBRAIC(:,8) =  CONSTANTS(:,25).*CONSTANTS(:,5).*(ALGEBRAIC(:,2) - ALGEBRAIC(:,4));
    ALGEBRAIC(:,9) =  CONSTANTS(:,27).*CONSTANTS(:,5).*(ALGEBRAIC(:,6) - ALGEBRAIC(:,4));
    ALGEBRAIC(:,11) =  CONSTANTS(:,26).*CONSTANTS(:,5).*(ALGEBRAIC(:,2) - ALGEBRAIC(:,6));
    ALGEBRAIC(:,14) = ALGEBRAIC(:,8)+ALGEBRAIC(:,11);
    ALGEBRAIC(:,28) = ALGEBRAIC(:,5)+ALGEBRAIC(:,23);
    ALGEBRAIC(:,29) = ALGEBRAIC(:,12)+ALGEBRAIC(:,26);
    ALGEBRAIC(:,30) = ALGEBRAIC(:,16)+ALGEBRAIC(:,27);
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