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 =25;
end
% There are a total of 8 entries in each of the rate and state variable arrays.
% There are a total of 49 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_STATES(:,1) = strpad('V1 in component V1 (millivolt)');
    LEGEND_CONSTANTS(:,1) = strpad('C in component model_parameters (nanoF)');
    LEGEND_ALGEBRAIC(:,4) = strpad('i_NaP in component i_NaP (nanoA)');
    LEGEND_ALGEBRAIC(:,6) = strpad('i_K in component i_K (nanoA)');
    LEGEND_ALGEBRAIC(:,10) = strpad('i_L1 in component i_L1 (nanoA)');
    LEGEND_ALGEBRAIC(:,14) = strpad('i_synE1 in component i_synE1 (nanoA)');
    LEGEND_ALGEBRAIC(:,23) = strpad('i_synI1 in component i_synI1 (nanoA)');
    LEGEND_STATES(:,2) = strpad('V2 in component V2 (millivolt)');
    LEGEND_ALGEBRAIC(:,7) = strpad('i_AD2 in component i_AD2 (nanoA)');
    LEGEND_ALGEBRAIC(:,11) = strpad('i_L2 in component i_L2 (nanoA)');
    LEGEND_ALGEBRAIC(:,18) = strpad('i_synE2 in component i_synE2 (nanoA)');
    LEGEND_ALGEBRAIC(:,24) = strpad('i_synI2 in component i_synI2 (nanoA)');
    LEGEND_STATES(:,3) = strpad('V3 in component V3 (millivolt)');
    LEGEND_ALGEBRAIC(:,8) = strpad('i_AD3 in component i_AD3 (nanoA)');
    LEGEND_ALGEBRAIC(:,12) = strpad('i_L3 in component i_L3 (nanoA)');
    LEGEND_ALGEBRAIC(:,15) = strpad('i_synE3 in component i_synE3 (nanoA)');
    LEGEND_ALGEBRAIC(:,25) = strpad('i_synI3 in component i_synI3 (nanoA)');
    LEGEND_STATES(:,4) = strpad('V4 in component V4 (millivolt)');
    LEGEND_ALGEBRAIC(:,9) = strpad('i_AD4 in component i_AD4 (nanoA)');
    LEGEND_ALGEBRAIC(:,13) = strpad('i_L4 in component i_L4 (nanoA)');
    LEGEND_ALGEBRAIC(:,16) = strpad('i_synE4 in component i_synE4 (nanoA)');
    LEGEND_ALGEBRAIC(:,21) = strpad('i_synI4 in component i_synI4 (nanoA)');
    LEGEND_CONSTANTS(:,2) = strpad('g_NaP in component model_parameters (nanoS)');
    LEGEND_CONSTANTS(:,3) = strpad('E_Na in component model_parameters (millivolt)');
    LEGEND_ALGEBRAIC(:,2) = strpad('m in component i_NaP_m_gate (dimensionless)');
    LEGEND_STATES(:,5) = strpad('h in component i_NaP_h_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,1) = strpad('h_infinity in component i_NaP_h_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,3) = strpad('tau_h in component i_NaP_h_gate (millisecond)');
    LEGEND_CONSTANTS(:,4) = strpad('tau_h_max in component i_NaP_h_gate (millisecond)');
    LEGEND_CONSTANTS(:,5) = strpad('g_K in component model_parameters (nanoS)');
    LEGEND_CONSTANTS(:,6) = strpad('E_K in component model_parameters (millivolt)');
    LEGEND_ALGEBRAIC(:,5) = strpad('m in component i_K_m_gate (dimensionless)');
    LEGEND_CONSTANTS(:,7) = strpad('g_AD in component model_parameters (nanoS)');
    LEGEND_ALGEBRAIC(:,19) = strpad('f2_V2 in component model_parameters (dimensionless)');
    LEGEND_STATES(:,6) = strpad('m in component i_AD2_m_gate (dimensionless)');
    LEGEND_CONSTANTS(:,8) = strpad('k_AD2 in component i_AD2_m_gate (dimensionless)');
    LEGEND_CONSTANTS(:,9) = strpad('tau_AD2 in component i_AD2_m_gate (millisecond)');
    LEGEND_ALGEBRAIC(:,20) = strpad('f3_V3 in component model_parameters (dimensionless)');
    LEGEND_STATES(:,7) = strpad('m in component i_AD3_m_gate (dimensionless)');
    LEGEND_CONSTANTS(:,10) = strpad('k_AD3 in component i_AD3_m_gate (dimensionless)');
    LEGEND_CONSTANTS(:,11) = strpad('tau_AD3 in component i_AD3_m_gate (millisecond)');
    LEGEND_ALGEBRAIC(:,22) = strpad('f4_V4 in component model_parameters (dimensionless)');
    LEGEND_STATES(:,8) = strpad('m in component i_AD4_m_gate (dimensionless)');
    LEGEND_CONSTANTS(:,12) = strpad('k_AD4 in component i_AD4_m_gate (dimensionless)');
    LEGEND_CONSTANTS(:,13) = strpad('tau_AD4 in component i_AD4_m_gate (millisecond)');
    LEGEND_CONSTANTS(:,14) = strpad('g_L in component model_parameters (nanoS)');
    LEGEND_CONSTANTS(:,15) = strpad('E_L in component model_parameters (millivolt)');
    LEGEND_CONSTANTS(:,16) = strpad('c11 in component i_synE1 (dimensionless)');
    LEGEND_CONSTANTS(:,17) = strpad('c21 in component i_synE1 (dimensionless)');
    LEGEND_CONSTANTS(:,18) = strpad('c31 in component i_synE1 (dimensionless)');
    LEGEND_CONSTANTS(:,19) = strpad('d1 in component model_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,20) = strpad('d2 in component model_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,21) = strpad('d3 in component model_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,22) = strpad('g_synE in component model_parameters (nanoS)');
    LEGEND_CONSTANTS(:,23) = strpad('E_synE in component model_parameters (millivolt)');
    LEGEND_CONSTANTS(:,24) = strpad('c12 in component i_synE2 (dimensionless)');
    LEGEND_CONSTANTS(:,25) = strpad('c22 in component i_synE2 (dimensionless)');
    LEGEND_CONSTANTS(:,26) = strpad('c32 in component i_synE2 (dimensionless)');
    LEGEND_CONSTANTS(:,27) = strpad('a12 in component i_synE2 (dimensionless)');
    LEGEND_ALGEBRAIC(:,17) = strpad('f1_V1 in component model_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,28) = strpad('c13 in component i_synE3 (dimensionless)');
    LEGEND_CONSTANTS(:,29) = strpad('c23 in component i_synE3 (dimensionless)');
    LEGEND_CONSTANTS(:,30) = strpad('c33 in component i_synE3 (dimensionless)');
    LEGEND_CONSTANTS(:,31) = strpad('c14 in component i_synE4 (dimensionless)');
    LEGEND_CONSTANTS(:,32) = strpad('c24 in component i_synE4 (dimensionless)');
    LEGEND_CONSTANTS(:,33) = strpad('c34 in component i_synE4 (dimensionless)');
    LEGEND_CONSTANTS(:,34) = strpad('b21 in component i_synI1 (dimensionless)');
    LEGEND_CONSTANTS(:,35) = strpad('b31 in component i_synI1 (dimensionless)');
    LEGEND_CONSTANTS(:,36) = strpad('b41 in component i_synI1 (dimensionless)');
    LEGEND_CONSTANTS(:,37) = strpad('g_synI in component model_parameters (nanoS)');
    LEGEND_CONSTANTS(:,38) = strpad('E_synI in component model_parameters (millivolt)');
    LEGEND_CONSTANTS(:,39) = strpad('b32 in component i_synI2 (dimensionless)');
    LEGEND_CONSTANTS(:,40) = strpad('b42 in component i_synI2 (dimensionless)');
    LEGEND_CONSTANTS(:,41) = strpad('b23 in component i_synI3 (dimensionless)');
    LEGEND_CONSTANTS(:,42) = strpad('b43 in component i_synI3 (dimensionless)');
    LEGEND_CONSTANTS(:,43) = strpad('b24 in component i_synI4 (dimensionless)');
    LEGEND_CONSTANTS(:,44) = strpad('b34 in component i_synI4 (dimensionless)');
    LEGEND_CONSTANTS(:,45) = strpad('V_half in component model_parameters (millivolt)');
    LEGEND_CONSTANTS(:,46) = strpad('k_V1 in component model_parameters (millivolt)');
    LEGEND_CONSTANTS(:,47) = strpad('k_V2 in component model_parameters (millivolt)');
    LEGEND_CONSTANTS(:,48) = strpad('k_V3 in component model_parameters (millivolt)');
    LEGEND_CONSTANTS(:,49) = strpad('k_V4 in component model_parameters (millivolt)');
    LEGEND_RATES(:,1) = strpad('d/dt V1 in component V1 (millivolt)');
    LEGEND_RATES(:,2) = strpad('d/dt V2 in component V2 (millivolt)');
    LEGEND_RATES(:,3) = strpad('d/dt V3 in component V3 (millivolt)');
    LEGEND_RATES(:,4) = strpad('d/dt V4 in component V4 (millivolt)');
    LEGEND_RATES(:,5) = strpad('d/dt h in component i_NaP_h_gate (dimensionless)');
    LEGEND_RATES(:,6) = strpad('d/dt m in component i_AD2_m_gate (dimensionless)');
    LEGEND_RATES(:,7) = strpad('d/dt m in component i_AD3_m_gate (dimensionless)');
    LEGEND_RATES(:,8) = strpad('d/dt m in component i_AD4_m_gate (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 = [];
    STATES(:,1) = -50.0;
    CONSTANTS(:,1) = 0.020;
    STATES(:,2) = -50.0;
    STATES(:,3) = -50.0;
    STATES(:,4) = -50.0;
    CONSTANTS(:,2) = 5.0;
    CONSTANTS(:,3) = 50.0;
    STATES(:,5) = 0.92;
    CONSTANTS(:,4) = 6000;
    CONSTANTS(:,5) = 5.0;
    CONSTANTS(:,6) = -85.0;
    CONSTANTS(:,7) = 10.0;
    STATES(:,6) = 0.92;
    CONSTANTS(:,8) = 0.9;
    CONSTANTS(:,9) = 2000;
    STATES(:,7) = 0.92;
    CONSTANTS(:,10) = 1.3;
    CONSTANTS(:,11) = 2000;
    STATES(:,8) = 0.92;
    CONSTANTS(:,12) = 0.9;
    CONSTANTS(:,13) = 1000;
    CONSTANTS(:,14) = 2.8;
    CONSTANTS(:,15) = -60.0;
    CONSTANTS(:,16) = 0.115;
    CONSTANTS(:,17) = 0.07;
    CONSTANTS(:,18) = 0.025;
    CONSTANTS(:,19) = 1.0;
    CONSTANTS(:,20) = 1.0;
    CONSTANTS(:,21) = 1.0;
    CONSTANTS(:,22) = 10.0;
    CONSTANTS(:,23) = 0.0;
    CONSTANTS(:,24) = 0.3;
    CONSTANTS(:,25) = 0.3;
    CONSTANTS(:,26) = 0.0;
    CONSTANTS(:,27) = 0.4;
    CONSTANTS(:,28) = 0.63;
    CONSTANTS(:,29) = 0.00;
    CONSTANTS(:,30) = 0.00;
    CONSTANTS(:,31) = 0.33;
    CONSTANTS(:,32) = 0.40;
    CONSTANTS(:,33) = 0.00;
    CONSTANTS(:,34) = 0.00;
    CONSTANTS(:,35) = 0.30;
    CONSTANTS(:,36) = 0.20;
    CONSTANTS(:,37) = 60.0;
    CONSTANTS(:,38) = -75.0;
    CONSTANTS(:,39) = 0.05;
    CONSTANTS(:,40) = 0.35;
    CONSTANTS(:,41) = 0.25;
    CONSTANTS(:,42) = 0.10;
    CONSTANTS(:,43) = 0.35;
    CONSTANTS(:,44) = 0.35;
    CONSTANTS(:,45) = 30.0;
    CONSTANTS(:,46) = 8.0;
    CONSTANTS(:,47) = 4.0;
    CONSTANTS(:,48) = 4.0;
    CONSTANTS(:,49) = 4.0;
    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) = 1.00000./(1.00000+exp((STATES(:,1)+48.0000)./6.00000));
    ALGEBRAIC(:,3) = CONSTANTS(:,4)./cosh((STATES(:,1)+48.0000)./12.0000);
    RATES(:,5) = (ALGEBRAIC(:,1) - STATES(:,5))./ALGEBRAIC(:,3);
    ALGEBRAIC(:,19) = 1.00000./(1.00000+exp( - (STATES(:,2) - CONSTANTS(:,45))./CONSTANTS(:,47)));
    RATES(:,6) = ( CONSTANTS(:,8).*ALGEBRAIC(:,19) - STATES(:,6))./CONSTANTS(:,9);
    ALGEBRAIC(:,20) = 1.00000./(1.00000+exp( - (STATES(:,3) - CONSTANTS(:,45))./CONSTANTS(:,48)));
    RATES(:,7) = ( CONSTANTS(:,10).*ALGEBRAIC(:,20) - STATES(:,7))./CONSTANTS(:,11);
    ALGEBRAIC(:,9) =  CONSTANTS(:,7).*STATES(:,8).*(1.00000./1000.00).*(STATES(:,4) - CONSTANTS(:,6));
    ALGEBRAIC(:,13) =  CONSTANTS(:,14).*(1.00000./1000.00).*(STATES(:,4) - CONSTANTS(:,15));
    ALGEBRAIC(:,16) =  CONSTANTS(:,22).*(1.00000./1000.00).*(STATES(:,4) - CONSTANTS(:,23)).*( CONSTANTS(:,31).*CONSTANTS(:,19)+ CONSTANTS(:,32).*CONSTANTS(:,20)+ CONSTANTS(:,33).*CONSTANTS(:,21));
    ALGEBRAIC(:,21) =  CONSTANTS(:,37).*(1.00000./1000.00).*(STATES(:,4) - CONSTANTS(:,38)).*( CONSTANTS(:,43).*ALGEBRAIC(:,19)+ CONSTANTS(:,44).*ALGEBRAIC(:,20));
    RATES(:,4) =  - (ALGEBRAIC(:,9)+ALGEBRAIC(:,13)+ALGEBRAIC(:,16)+ALGEBRAIC(:,21))./CONSTANTS(:,1);
    ALGEBRAIC(:,22) = 1.00000./(1.00000+exp( - (STATES(:,4) - CONSTANTS(:,45))./CONSTANTS(:,49)));
    RATES(:,8) = ( CONSTANTS(:,12).*ALGEBRAIC(:,22) - STATES(:,8))./CONSTANTS(:,13);
    ALGEBRAIC(:,2) = 1.00000./(1.00000+exp( - (STATES(:,1)+40.0000)./6.00000));
    ALGEBRAIC(:,4) =  CONSTANTS(:,2).*ALGEBRAIC(:,2).*STATES(:,5).*(1.00000./1000.00).*(STATES(:,1) - CONSTANTS(:,3));
    ALGEBRAIC(:,5) = 1.00000./(1.00000+exp( - (STATES(:,1)+29.0000)./4.00000));
    ALGEBRAIC(:,6) =  CONSTANTS(:,5).*power(ALGEBRAIC(:,5), 4.00000).*(1.00000./1000.00).*(STATES(:,1) - CONSTANTS(:,6));
    ALGEBRAIC(:,10) =  CONSTANTS(:,14).*(1.00000./1000.00).*(STATES(:,1) - CONSTANTS(:,15));
    ALGEBRAIC(:,14) =  CONSTANTS(:,22).*(1.00000./1000.00).*(STATES(:,1) - CONSTANTS(:,23)).*( CONSTANTS(:,16).*CONSTANTS(:,19)+ CONSTANTS(:,17).*CONSTANTS(:,20)+ CONSTANTS(:,18).*CONSTANTS(:,21));
    ALGEBRAIC(:,23) =  CONSTANTS(:,37).*(1.00000./1000.00).*(STATES(:,1) - CONSTANTS(:,38)).*( CONSTANTS(:,34).*ALGEBRAIC(:,19)+ CONSTANTS(:,35).*ALGEBRAIC(:,20)+ CONSTANTS(:,36).*ALGEBRAIC(:,22));
    RATES(:,1) =  - (ALGEBRAIC(:,4)+ALGEBRAIC(:,6)+ALGEBRAIC(:,10)+ALGEBRAIC(:,14)+ALGEBRAIC(:,23))./CONSTANTS(:,1);
    ALGEBRAIC(:,7) =  CONSTANTS(:,7).*STATES(:,6).*(1.00000./1000.00).*(STATES(:,2) - CONSTANTS(:,6));
    ALGEBRAIC(:,11) =  CONSTANTS(:,14).*(1.00000./1000.00).*(STATES(:,2) - CONSTANTS(:,15));
    ALGEBRAIC(:,17) = 1.00000./(1.00000+exp( - (STATES(:,1) - CONSTANTS(:,45))./CONSTANTS(:,46)));
    ALGEBRAIC(:,18) =  CONSTANTS(:,22).*(1.00000./1000.00).*(STATES(:,2) - CONSTANTS(:,23)).*( CONSTANTS(:,27).*ALGEBRAIC(:,17)+ CONSTANTS(:,24).*CONSTANTS(:,19)+ CONSTANTS(:,25).*CONSTANTS(:,20)+ CONSTANTS(:,26).*CONSTANTS(:,21));
    ALGEBRAIC(:,24) =  CONSTANTS(:,37).*(1.00000./1000.00).*(STATES(:,2) - CONSTANTS(:,38)).*( CONSTANTS(:,39).*ALGEBRAIC(:,20)+ CONSTANTS(:,40).*ALGEBRAIC(:,22));
    RATES(:,2) =  - (ALGEBRAIC(:,7)+ALGEBRAIC(:,11)+ALGEBRAIC(:,18)+ALGEBRAIC(:,24))./CONSTANTS(:,1);
    ALGEBRAIC(:,8) =  CONSTANTS(:,7).*STATES(:,7).*(1.00000./1000.00).*(STATES(:,3) - CONSTANTS(:,6));
    ALGEBRAIC(:,12) =  CONSTANTS(:,14).*(1.00000./1000.00).*(STATES(:,3) - CONSTANTS(:,15));
    ALGEBRAIC(:,15) =  CONSTANTS(:,22).*(1.00000./1000.00).*(STATES(:,3) - CONSTANTS(:,23)).*( CONSTANTS(:,28).*CONSTANTS(:,19)+ CONSTANTS(:,29).*CONSTANTS(:,20)+ CONSTANTS(:,30).*CONSTANTS(:,21));
    ALGEBRAIC(:,25) =  CONSTANTS(:,37).*(1.00000./1000.00).*(STATES(:,3) - CONSTANTS(:,38)).*( CONSTANTS(:,41).*ALGEBRAIC(:,19)+ CONSTANTS(:,42).*ALGEBRAIC(:,22));
    RATES(:,3) =  - (ALGEBRAIC(:,8)+ALGEBRAIC(:,12)+ALGEBRAIC(:,15)+ALGEBRAIC(:,25))./CONSTANTS(:,1);
   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) = 1.00000./(1.00000+exp((STATES(:,1)+48.0000)./6.00000));
    ALGEBRAIC(:,3) = CONSTANTS(:,4)./cosh((STATES(:,1)+48.0000)./12.0000);
    ALGEBRAIC(:,19) = 1.00000./(1.00000+exp( - (STATES(:,2) - CONSTANTS(:,45))./CONSTANTS(:,47)));
    ALGEBRAIC(:,20) = 1.00000./(1.00000+exp( - (STATES(:,3) - CONSTANTS(:,45))./CONSTANTS(:,48)));
    ALGEBRAIC(:,9) =  CONSTANTS(:,7).*STATES(:,8).*(1.00000./1000.00).*(STATES(:,4) - CONSTANTS(:,6));
    ALGEBRAIC(:,13) =  CONSTANTS(:,14).*(1.00000./1000.00).*(STATES(:,4) - CONSTANTS(:,15));
    ALGEBRAIC(:,16) =  CONSTANTS(:,22).*(1.00000./1000.00).*(STATES(:,4) - CONSTANTS(:,23)).*( CONSTANTS(:,31).*CONSTANTS(:,19)+ CONSTANTS(:,32).*CONSTANTS(:,20)+ CONSTANTS(:,33).*CONSTANTS(:,21));
    ALGEBRAIC(:,21) =  CONSTANTS(:,37).*(1.00000./1000.00).*(STATES(:,4) - CONSTANTS(:,38)).*( CONSTANTS(:,43).*ALGEBRAIC(:,19)+ CONSTANTS(:,44).*ALGEBRAIC(:,20));
    ALGEBRAIC(:,22) = 1.00000./(1.00000+exp( - (STATES(:,4) - CONSTANTS(:,45))./CONSTANTS(:,49)));
    ALGEBRAIC(:,2) = 1.00000./(1.00000+exp( - (STATES(:,1)+40.0000)./6.00000));
    ALGEBRAIC(:,4) =  CONSTANTS(:,2).*ALGEBRAIC(:,2).*STATES(:,5).*(1.00000./1000.00).*(STATES(:,1) - CONSTANTS(:,3));
    ALGEBRAIC(:,5) = 1.00000./(1.00000+exp( - (STATES(:,1)+29.0000)./4.00000));
    ALGEBRAIC(:,6) =  CONSTANTS(:,5).*power(ALGEBRAIC(:,5), 4.00000).*(1.00000./1000.00).*(STATES(:,1) - CONSTANTS(:,6));
    ALGEBRAIC(:,10) =  CONSTANTS(:,14).*(1.00000./1000.00).*(STATES(:,1) - CONSTANTS(:,15));
    ALGEBRAIC(:,14) =  CONSTANTS(:,22).*(1.00000./1000.00).*(STATES(:,1) - CONSTANTS(:,23)).*( CONSTANTS(:,16).*CONSTANTS(:,19)+ CONSTANTS(:,17).*CONSTANTS(:,20)+ CONSTANTS(:,18).*CONSTANTS(:,21));
    ALGEBRAIC(:,23) =  CONSTANTS(:,37).*(1.00000./1000.00).*(STATES(:,1) - CONSTANTS(:,38)).*( CONSTANTS(:,34).*ALGEBRAIC(:,19)+ CONSTANTS(:,35).*ALGEBRAIC(:,20)+ CONSTANTS(:,36).*ALGEBRAIC(:,22));
    ALGEBRAIC(:,7) =  CONSTANTS(:,7).*STATES(:,6).*(1.00000./1000.00).*(STATES(:,2) - CONSTANTS(:,6));
    ALGEBRAIC(:,11) =  CONSTANTS(:,14).*(1.00000./1000.00).*(STATES(:,2) - CONSTANTS(:,15));
    ALGEBRAIC(:,17) = 1.00000./(1.00000+exp( - (STATES(:,1) - CONSTANTS(:,45))./CONSTANTS(:,46)));
    ALGEBRAIC(:,18) =  CONSTANTS(:,22).*(1.00000./1000.00).*(STATES(:,2) - CONSTANTS(:,23)).*( CONSTANTS(:,27).*ALGEBRAIC(:,17)+ CONSTANTS(:,24).*CONSTANTS(:,19)+ CONSTANTS(:,25).*CONSTANTS(:,20)+ CONSTANTS(:,26).*CONSTANTS(:,21));
    ALGEBRAIC(:,24) =  CONSTANTS(:,37).*(1.00000./1000.00).*(STATES(:,2) - CONSTANTS(:,38)).*( CONSTANTS(:,39).*ALGEBRAIC(:,20)+ CONSTANTS(:,40).*ALGEBRAIC(:,22));
    ALGEBRAIC(:,8) =  CONSTANTS(:,7).*STATES(:,7).*(1.00000./1000.00).*(STATES(:,3) - CONSTANTS(:,6));
    ALGEBRAIC(:,12) =  CONSTANTS(:,14).*(1.00000./1000.00).*(STATES(:,3) - CONSTANTS(:,15));
    ALGEBRAIC(:,15) =  CONSTANTS(:,22).*(1.00000./1000.00).*(STATES(:,3) - CONSTANTS(:,23)).*( CONSTANTS(:,28).*CONSTANTS(:,19)+ CONSTANTS(:,29).*CONSTANTS(:,20)+ CONSTANTS(:,30).*CONSTANTS(:,21));
    ALGEBRAIC(:,25) =  CONSTANTS(:,37).*(1.00000./1000.00).*(STATES(:,3) - CONSTANTS(:,38)).*( CONSTANTS(:,41).*ALGEBRAIC(:,19)+ CONSTANTS(:,42).*ALGEBRAIC(:,22));
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