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 =67;
end
% There are a total of 18 entries in each of the rate and state variable arrays.
% There are a total of 68 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 (ms)');
    LEGEND_CONSTANTS(:,1) = strpad('F in component Environment (C_per_mole)');
    LEGEND_CONSTANTS(:,2) = strpad('R in component Environment (mJ_per_mole_K)');
    LEGEND_CONSTANTS(:,3) = strpad('Temp in component Environment (kelvin)');
    LEGEND_CONSTANTS(:,54) = strpad('FonRT in component Environment (per_mV)');
    LEGEND_CONSTANTS(:,4) = strpad('K_o in component Environment (mM)');
    LEGEND_CONSTANTS(:,5) = strpad('Na_o in component Environment (mM)');
    LEGEND_CONSTANTS(:,6) = strpad('Ca_o in component Environment (mM)');
    LEGEND_STATES(:,1) = strpad('V in component cell (mV)');
    LEGEND_ALGEBRAIC(:,53) = strpad('ilca in component ICaL (uA_per_uF)');
    LEGEND_ALGEBRAIC(:,63) = strpad('icab in component ICab (uA_per_uF)');
    LEGEND_ALGEBRAIC(:,62) = strpad('ipca in component IpCa (uA_per_uF)');
    LEGEND_ALGEBRAIC(:,60) = strpad('inaca in component INaCa (uA_per_uF)');
    LEGEND_ALGEBRAIC(:,65) = strpad('icat in component ICaT (uA_per_uF)');
    LEGEND_ALGEBRAIC(:,31) = strpad('ina in component INa (uA_per_uF)');
    LEGEND_ALGEBRAIC(:,32) = strpad('inab in component INab (uA_per_uF)');
    LEGEND_ALGEBRAIC(:,54) = strpad('ilcana in component ICaL (uA_per_uF)');
    LEGEND_ALGEBRAIC(:,29) = strpad('inak in component INaK (uA_per_uF)');
    LEGEND_ALGEBRAIC(:,38) = strpad('ikr in component IKr (uA_per_uF)');
    LEGEND_ALGEBRAIC(:,58) = strpad('iks in component IKs (uA_per_uF)');
    LEGEND_ALGEBRAIC(:,37) = strpad('IK1 in component IK1 (uA_per_uF)');
    LEGEND_ALGEBRAIC(:,39) = strpad('ikp in component IKp (uA_per_uF)');
    LEGEND_ALGEBRAIC(:,56) = strpad('ilcak in component ICaL (uA_per_uF)');
    LEGEND_ALGEBRAIC(:,66) = strpad('caiont in component cell (uA_per_uF)');
    LEGEND_ALGEBRAIC(:,61) = strpad('naiont in component cell (uA_per_uF)');
    LEGEND_ALGEBRAIC(:,59) = strpad('kiont in component cell (uA_per_uF)');
    LEGEND_CONSTANTS(:,7) = strpad('l in component cell (cm)');
    LEGEND_CONSTANTS(:,8) = strpad('ra in component cell (cm)');
    LEGEND_CONSTANTS(:,57) = strpad('vcell in component cell (uL)');
    LEGEND_CONSTANTS(:,58) = strpad('ageo in component cell (cm2)');
    LEGEND_CONSTANTS(:,62) = strpad('Acap in component cell (uF)');
    LEGEND_CONSTANTS(:,66) = strpad('AF in component cell (uF_mole_per_C)');
    LEGEND_CONSTANTS(:,63) = strpad('vmyo in component cell (uL)');
    LEGEND_CONSTANTS(:,59) = strpad('vmito in component cell (uL)');
    LEGEND_CONSTANTS(:,60) = strpad('vsr in component cell (uL)');
    LEGEND_CONSTANTS(:,64) = strpad('vnsr in component cell (uL)');
    LEGEND_CONSTANTS(:,65) = strpad('vjsr in component cell (uL)');
    LEGEND_CONSTANTS(:,61) = strpad('vss in component cell (uL)');
    LEGEND_ALGEBRAIC(:,10) = strpad('i_Stim in component cell (uA_per_uF)');
    LEGEND_CONSTANTS(:,9) = strpad('stim_offset in component cell (ms)');
    LEGEND_CONSTANTS(:,10) = strpad('stim_period in component cell (ms)');
    LEGEND_CONSTANTS(:,11) = strpad('stim_duration in component cell (ms)');
    LEGEND_CONSTANTS(:,12) = strpad('stim_amplitude in component cell (uA_per_uF)');
    LEGEND_ALGEBRAIC(:,1) = strpad('past in component cell (ms)');
    LEGEND_ALGEBRAIC(:,30) = strpad('ENa in component reversal_potentials (mV)');
    LEGEND_STATES(:,2) = strpad('H in component INa (dimensionless)');
    LEGEND_STATES(:,3) = strpad('m in component INa (dimensionless)');
    LEGEND_STATES(:,4) = strpad('J in component INa (dimensionless)');
    LEGEND_CONSTANTS(:,13) = strpad('GNa in component INa (mS_per_uF)');
    LEGEND_ALGEBRAIC(:,2) = strpad('a in component INa (per_ms)');
    LEGEND_ALGEBRAIC(:,11) = strpad('aH in component INa (per_ms)');
    LEGEND_ALGEBRAIC(:,21) = strpad('bH in component INa (per_ms)');
    LEGEND_ALGEBRAIC(:,12) = strpad('aj in component INa (per_ms)');
    LEGEND_ALGEBRAIC(:,22) = strpad('bj in component INa (per_ms)');
    LEGEND_ALGEBRAIC(:,3) = strpad('am in component INa (per_ms)');
    LEGEND_ALGEBRAIC(:,13) = strpad('bm in component INa (per_ms)');
    LEGEND_ALGEBRAIC(:,50) = strpad('Ca_i in component Ca (mM)');
    LEGEND_STATES(:,5) = strpad('Na_i in component Na (mM)');
    LEGEND_STATES(:,6) = strpad('K_i in component K (mM)');
    LEGEND_STATES(:,7) = strpad('d in component ICaL (dimensionless)');
    LEGEND_STATES(:,8) = strpad('f in component ICaL (dimensionless)');
    LEGEND_ALGEBRAIC(:,4) = strpad('dss0 in component ICaL (dimensionless)');
    LEGEND_ALGEBRAIC(:,14) = strpad('taud in component ICaL (ms)');
    LEGEND_ALGEBRAIC(:,23) = strpad('dss1 in component ICaL (dimensionless)');
    LEGEND_ALGEBRAIC(:,26) = strpad('dss in component ICaL (dimensionless)');
    LEGEND_ALGEBRAIC(:,5) = strpad('fss in component ICaL (dimensionless)');
    LEGEND_ALGEBRAIC(:,15) = strpad('tauf in component ICaL (ms)');
    LEGEND_CONSTANTS(:,14) = strpad('gacai in component ICaL (dimensionless)');
    LEGEND_CONSTANTS(:,15) = strpad('gacao in component ICaL (dimensionless)');
    LEGEND_CONSTANTS(:,16) = strpad('kmca in component ICaL (mM)');
    LEGEND_CONSTANTS(:,17) = strpad('pca in component ICaL (L_per_F_ms)');
    LEGEND_CONSTANTS(:,18) = strpad('pna in component ICaL (L_per_F_ms)');
    LEGEND_CONSTANTS(:,19) = strpad('ganai in component ICaL (dimensionless)');
    LEGEND_CONSTANTS(:,20) = strpad('ganao in component ICaL (dimensionless)');
    LEGEND_CONSTANTS(:,21) = strpad('pk in component ICaL (L_per_F_ms)');
    LEGEND_CONSTANTS(:,22) = strpad('gaki in component ICaL (dimensionless)');
    LEGEND_CONSTANTS(:,23) = strpad('gako in component ICaL (dimensionless)');
    LEGEND_ALGEBRAIC(:,51) = strpad('ibarca in component ICaL (uA_per_uF)');
    LEGEND_ALGEBRAIC(:,20) = strpad('ibarna in component ICaL (uA_per_uF)');
    LEGEND_ALGEBRAIC(:,25) = strpad('ibark in component ICaL (uA_per_uF)');
    LEGEND_ALGEBRAIC(:,52) = strpad('fca in component ICaL (dimensionless)');
    LEGEND_ALGEBRAIC(:,33) = strpad('EK in component reversal_potentials (mV)');
    LEGEND_CONSTANTS(:,24) = strpad('GK1max in component IK1 (mS_per_uF)');
    LEGEND_CONSTANTS(:,55) = strpad('GK1_ in component IK1 (mS_per_uF)');
    LEGEND_ALGEBRAIC(:,34) = strpad('ak1 in component IK1 (per_ms)');
    LEGEND_ALGEBRAIC(:,35) = strpad('bk1 in component IK1 (per_ms)');
    LEGEND_ALGEBRAIC(:,36) = strpad('gK1 in component IK1 (mS_per_uF)');
    LEGEND_CONSTANTS(:,25) = strpad('gkrmax in component IKr (mS_per_uF)');
    LEGEND_STATES(:,9) = strpad('xr in component IKr (dimensionless)');
    LEGEND_ALGEBRAIC(:,27) = strpad('r in component IKr (dimensionless)');
    LEGEND_ALGEBRAIC(:,6) = strpad('xrss in component IKr (dimensionless)');
    LEGEND_ALGEBRAIC(:,16) = strpad('tauxr in component IKr (ms)');
    LEGEND_ALGEBRAIC(:,40) = strpad('EKs in component reversal_potentials (mV)');
    LEGEND_CONSTANTS(:,26) = strpad('GKsmax in component IKs (mS_per_uF)');
    LEGEND_STATES(:,10) = strpad('xs1 in component IKs (dimensionless)');
    LEGEND_STATES(:,11) = strpad('xs2 in component IKs (dimensionless)');
    LEGEND_ALGEBRAIC(:,57) = strpad('gks in component IKs (mS_per_uF)');
    LEGEND_ALGEBRAIC(:,7) = strpad('xss in component IKs (dimensionless)');
    LEGEND_ALGEBRAIC(:,17) = strpad('tauxs in component IKs (ms)');
    LEGEND_CONSTANTS(:,27) = strpad('kmnai in component INaK (mM)');
    LEGEND_CONSTANTS(:,28) = strpad('kmko in component INaK (mM)');
    LEGEND_CONSTANTS(:,29) = strpad('ibarnak in component INaK (uA_per_uF)');
    LEGEND_ALGEBRAIC(:,28) = strpad('fnak in component INaK (dimensionless)');
    LEGEND_CONSTANTS(:,56) = strpad('sigma in component INaK (dimensionless)');
    LEGEND_CONSTANTS(:,30) = strpad('c1 in component INaCa (uA_per_uF)');
    LEGEND_CONSTANTS(:,31) = strpad('c2 in component INaCa (dimensionless)');
    LEGEND_CONSTANTS(:,32) = strpad('gammas in component INaCa (dimensionless)');
    LEGEND_CONSTANTS(:,33) = strpad('GKpmax in component IKp (mS_per_uF)');
    LEGEND_CONSTANTS(:,34) = strpad('ibarpca in component IpCa (uA_per_uF)');
    LEGEND_CONSTANTS(:,35) = strpad('kmpca in component IpCa (mM)');
    LEGEND_CONSTANTS(:,36) = strpad('gcab in component ICab (mS_per_uF)');
    LEGEND_CONSTANTS(:,37) = strpad('GNab in component INab (mS_per_uF)');
    LEGEND_ALGEBRAIC(:,64) = strpad('ECa in component reversal_potentials (mV)');
    LEGEND_STATES(:,12) = strpad('b in component ICaT (dimensionless)');
    LEGEND_STATES(:,13) = strpad('g in component ICaT (dimensionless)');
    LEGEND_CONSTANTS(:,38) = strpad('gcat in component ICaT (mS_per_uF)');
    LEGEND_ALGEBRAIC(:,8) = strpad('bss in component ICaT (dimensionless)');
    LEGEND_ALGEBRAIC(:,18) = strpad('taub in component ICaT (ms)');
    LEGEND_ALGEBRAIC(:,9) = strpad('gss in component ICaT (dimensionless)');
    LEGEND_ALGEBRAIC(:,19) = strpad('aa in component ICaT (dimensionless)');
    LEGEND_ALGEBRAIC(:,24) = strpad('taug in component ICaT (ms)');
    LEGEND_CONSTANTS(:,39) = strpad('prnak in component reversal_potentials (dimensionless)');
    LEGEND_STATES(:,14) = strpad('Ca_JSR_T in component Ca (mM)');
    LEGEND_STATES(:,15) = strpad('Rel in component Irel (mM_per_ms)');
    LEGEND_ALGEBRAIC(:,55) = strpad('Rel_ss in component Irel (mM_per_ms)');
    LEGEND_ALGEBRAIC(:,44) = strpad('tau_Rel in component Irel (ms)');
    LEGEND_CONSTANTS(:,40) = strpad('K_Relss in component Irel (mM)');
    LEGEND_CONSTANTS(:,67) = strpad('alpha_Rel in component Irel (mM_per_mV)');
    LEGEND_CONSTANTS(:,41) = strpad('tau in component Irel (ms)');
    LEGEND_CONSTANTS(:,42) = strpad('kappa in component Irel (mM_per_mV_ms)');
    LEGEND_CONSTANTS(:,43) = strpad('qn in component Irel (dimensionless)');
    LEGEND_ALGEBRAIC(:,43) = strpad('Ca_JSR_free in component Irel (mM)');
    LEGEND_ALGEBRAIC(:,41) = strpad('bbb in component Irel (mM)');
    LEGEND_ALGEBRAIC(:,42) = strpad('c in component Irel (mM2)');
    LEGEND_CONSTANTS(:,44) = strpad('kmcsqn in component Irel (mM)');
    LEGEND_CONSTANTS(:,45) = strpad('csqnbar in component Irel (mM)');
    LEGEND_STATES(:,16) = strpad('Ca_NSR in component Ca (mM)');
    LEGEND_CONSTANTS(:,46) = strpad('kmup in component Iup_Ileak (mM)');
    LEGEND_CONSTANTS(:,47) = strpad('iupbar in component Iup_Ileak (mM_per_ms)');
    LEGEND_CONSTANTS(:,48) = strpad('nsrbar in component Iup_Ileak (mM)');
    LEGEND_ALGEBRAIC(:,67) = strpad('iup in component Iup_Ileak (mM_per_ms)');
    LEGEND_ALGEBRAIC(:,45) = strpad('ileak in component Iup_Ileak (mM_per_ms)');
    LEGEND_CONSTANTS(:,49) = strpad('tautr in component Itr (ms)');
    LEGEND_ALGEBRAIC(:,46) = strpad('itr in component Itr (mM_per_ms)');
    LEGEND_STATES(:,17) = strpad('Ca_T in component Ca (mM)');
    LEGEND_STATES(:,18) = strpad('Over in component Ca (dimensionless)');
    LEGEND_CONSTANTS(:,50) = strpad('cmdnbar in component Ca (mM)');
    LEGEND_CONSTANTS(:,51) = strpad('trpnbar in component Ca (mM)');
    LEGEND_CONSTANTS(:,52) = strpad('kmcmdn in component Ca (mM)');
    LEGEND_CONSTANTS(:,53) = strpad('kmtrpn in component Ca (mM)');
    LEGEND_ALGEBRAIC(:,47) = strpad('bmyo in component Ca (mM)');
    LEGEND_ALGEBRAIC(:,48) = strpad('cmyo in component Ca (mM2)');
    LEGEND_ALGEBRAIC(:,49) = strpad('dmyo in component Ca (mM3)');
    LEGEND_RATES(:,1) = strpad('d/dt V in component cell (mV)');
    LEGEND_RATES(:,2) = strpad('d/dt H in component INa (dimensionless)');
    LEGEND_RATES(:,3) = strpad('d/dt m in component INa (dimensionless)');
    LEGEND_RATES(:,4) = strpad('d/dt J in component INa (dimensionless)');
    LEGEND_RATES(:,7) = strpad('d/dt d in component ICaL (dimensionless)');
    LEGEND_RATES(:,8) = strpad('d/dt f in component ICaL (dimensionless)');
    LEGEND_RATES(:,9) = strpad('d/dt xr in component IKr (dimensionless)');
    LEGEND_RATES(:,10) = strpad('d/dt xs1 in component IKs (dimensionless)');
    LEGEND_RATES(:,11) = strpad('d/dt xs2 in component IKs (dimensionless)');
    LEGEND_RATES(:,12) = strpad('d/dt b in component ICaT (dimensionless)');
    LEGEND_RATES(:,13) = strpad('d/dt g in component ICaT (dimensionless)');
    LEGEND_RATES(:,15) = strpad('d/dt Rel in component Irel (mM_per_ms)');
    LEGEND_RATES(:,5) = strpad('d/dt Na_i in component Na (mM)');
    LEGEND_RATES(:,6) = strpad('d/dt K_i in component K (mM)');
    LEGEND_RATES(:,18) = strpad('d/dt Over in component Ca (dimensionless)');
    LEGEND_RATES(:,17) = strpad('d/dt Ca_T in component Ca (mM)');
    LEGEND_RATES(:,16) = strpad('d/dt Ca_NSR in component Ca (mM)');
    LEGEND_RATES(:,14) = strpad('d/dt Ca_JSR_T in component Ca (mM)');
    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) = 96485;
    CONSTANTS(:,2) = 8314;
    CONSTANTS(:,3) = 310;
    CONSTANTS(:,4) = 4.5;
    CONSTANTS(:,5) = 140;
    CONSTANTS(:,6) = 1.8;
    STATES(:,1) = -89.4356034692784;
    CONSTANTS(:,7) = 0.01;
    CONSTANTS(:,8) = 0.0011;
    CONSTANTS(:,9) = 0;
    CONSTANTS(:,10) = 400;
    CONSTANTS(:,11) = 3;
    CONSTANTS(:,12) = -15;
    STATES(:,2) = 0.994401369032678;
    STATES(:,3) = 0.000734780346592185;
    STATES(:,4) = 0.996100688673679;
    CONSTANTS(:,13) = 16;
    STATES(:,5) = 16.612739313555;
    STATES(:,6) = 139.730914103161;
    STATES(:,7) = 3.2514786721066e-27;
    STATES(:,8) = 0.997404948824816;
    CONSTANTS(:,14) = 1;
    CONSTANTS(:,15) = 0.341;
    CONSTANTS(:,16) = 0.0006;
    CONSTANTS(:,17) = 0.00054;
    CONSTANTS(:,18) = 6.75e-7;
    CONSTANTS(:,19) = 0.75;
    CONSTANTS(:,20) = 0.75;
    CONSTANTS(:,21) = 1.93e-7;
    CONSTANTS(:,22) = 0.75;
    CONSTANTS(:,23) = 0.75;
    CONSTANTS(:,24) = 0.75;
    CONSTANTS(:,25) = 0.02614;
    STATES(:,9) = 0.000162194715543637;
    CONSTANTS(:,26) = 0.433;
    STATES(:,10) = 0.0285147332973946;
    STATES(:,11) = 0.0764114040188678;
    CONSTANTS(:,27) = 10;
    CONSTANTS(:,28) = 1.5;
    CONSTANTS(:,29) = 2.25;
    CONSTANTS(:,30) = 0.00025;
    CONSTANTS(:,31) = 0.0001;
    CONSTANTS(:,32) = 0.15;
    CONSTANTS(:,33) = 0.00552;
    CONSTANTS(:,34) = 1.15;
    CONSTANTS(:,35) = 0.0005;
    CONSTANTS(:,36) = 0.003016;
    CONSTANTS(:,37) = 0.004;
    STATES(:,12) = 0.000927461915392873;
    STATES(:,13) = 0.952834331760863;
    CONSTANTS(:,38) = 0.05;
    CONSTANTS(:,39) = 0.01833;
    STATES(:,14) = 7.87371650296567;
    STATES(:,15) = 1.06874246141923e-23;
    CONSTANTS(:,40) = 1;
    CONSTANTS(:,41) = 4.75;
    CONSTANTS(:,42) = 0.125;
    CONSTANTS(:,43) = 9;
    CONSTANTS(:,44) = 0.8;
    CONSTANTS(:,45) = 10;
    STATES(:,16) = 2.71518235696672;
    CONSTANTS(:,46) = 0.00092;
    CONSTANTS(:,47) = 0.00875;
    CONSTANTS(:,48) = 15;
    CONSTANTS(:,49) = 120;
    STATES(:,17) = 0.0257059808595638;
    STATES(:,18) = 1e-12;
    CONSTANTS(:,50) = 0.05;
    CONSTANTS(:,51) = 0.07;
    CONSTANTS(:,52) = 0.00238;
    CONSTANTS(:,53) = 0.0005;
    CONSTANTS(:,54) = (CONSTANTS(:,1)./CONSTANTS(:,3))./CONSTANTS(:,2);
    CONSTANTS(:,55) =  CONSTANTS(:,24).*power((CONSTANTS(:,4)./5.40000), 1.0 ./ 2);
    CONSTANTS(:,56) = (exp(CONSTANTS(:,5)./67.3000) - 1.00000)./7.00000;
    CONSTANTS(:,67) = 0.00000;
    CONSTANTS(:,57) =  1000.00.* pi.*CONSTANTS(:,8).*CONSTANTS(:,8).*CONSTANTS(:,7);
    CONSTANTS(:,58) =  2.00000.* pi.*CONSTANTS(:,8).*CONSTANTS(:,8)+ 2.00000.* pi.*CONSTANTS(:,8).*CONSTANTS(:,7);
    CONSTANTS(:,59) =  CONSTANTS(:,57).*0.240000;
    CONSTANTS(:,60) =  CONSTANTS(:,57).*0.0600000;
    CONSTANTS(:,61) =  CONSTANTS(:,57).*0.0200000;
    CONSTANTS(:,62) =  CONSTANTS(:,58).*2.00000;
    CONSTANTS(:,63) =  CONSTANTS(:,57).*0.680000;
    CONSTANTS(:,64) =  CONSTANTS(:,57).*0.0552000;
    CONSTANTS(:,65) =  CONSTANTS(:,57).*0.00480000;
    CONSTANTS(:,66) = CONSTANTS(:,62)./CONSTANTS(:,1);
    CONSTANTS(:,67) =  CONSTANTS(:,41).*CONSTANTS(:,42);
    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(:,18) = CONSTANTS(:,67);
    ALGEBRAIC(:,3) = ( 0.320000.*1.00000.*(STATES(:,1)+47.1300))./(1.00000 - exp(  - 0.100000.*(STATES(:,1)+47.1300)));
    ALGEBRAIC(:,13) =  0.0800000.*exp( - STATES(:,1)./11.0000);
    RATES(:,3) =  ALGEBRAIC(:,3).*(1.00000 - STATES(:,3)) -  ALGEBRAIC(:,13).*STATES(:,3);
    ALGEBRAIC(:,5) = 1.00000./(1.00000+exp((STATES(:,1)+32.0000)./8.00000))+0.600000./(1.00000+exp((50.0000 - STATES(:,1))./20.0000));
    ALGEBRAIC(:,15) = 1.00000./( 0.0197000.*exp( - power( 0.0337000.*(STATES(:,1)+10.0000), 2.00000))+0.0200000);
    RATES(:,8) = (ALGEBRAIC(:,5) - STATES(:,8))./ALGEBRAIC(:,15);
    ALGEBRAIC(:,6) = 1.00000./(1.00000+exp( - (STATES(:,1)+10.0850)./4.25000));
    ALGEBRAIC(:,16) = 1.00000./(( 0.00138000.*(STATES(:,1)+14.2000))./(1.00000 - exp(  - 0.123000.*(STATES(:,1)+14.2000)))+( 0.000610000.*(STATES(:,1)+38.9000))./(exp( 0.145000.*(STATES(:,1)+38.9000)) - 1.00000));
    RATES(:,9) = (ALGEBRAIC(:,6) - STATES(:,9))./ALGEBRAIC(:,16);
    ALGEBRAIC(:,7) = 1.00000./(1.00000+exp( - (STATES(:,1) - 1.50000)./16.7000));
    ALGEBRAIC(:,17) = 1.00000./(( 7.19000e-05.*(STATES(:,1)+30.0000))./(1.00000 - exp(  - 0.148000.*(STATES(:,1)+30.0000)))+( 0.000131000.*(STATES(:,1)+30.0000))./(exp( 0.0687000.*(STATES(:,1)+30.0000)) - 1.00000));
    RATES(:,10) = (ALGEBRAIC(:,7) - STATES(:,10))./ALGEBRAIC(:,17);
    RATES(:,11) = ((ALGEBRAIC(:,7) - STATES(:,11))./ALGEBRAIC(:,17))./4.00000;
    ALGEBRAIC(:,8) = 1.00000./(1.00000+exp( - (STATES(:,1)+14.0000)./10.8000));
    ALGEBRAIC(:,18) = 3.70000+6.10000./(1.00000+exp((STATES(:,1)+25.0000)./4.50000));
    RATES(:,12) = (ALGEBRAIC(:,8) - STATES(:,12))./ALGEBRAIC(:,18);
    ALGEBRAIC(:,2) = 1.00000 - 1.00000./(1.00000+exp( - (STATES(:,1)+40.0000)./0.0240000));
    ALGEBRAIC(:,11) =  ALGEBRAIC(:,2).*0.135000.*exp((80.0000+STATES(:,1))./ - 6.80000);
    ALGEBRAIC(:,21) = (1.00000 - ALGEBRAIC(:,2))./( 0.130000.*(1.00000+exp((STATES(:,1)+10.6600)./ - 11.1000)))+ ALGEBRAIC(:,2).*( 3.56000.*exp( 0.0790000.*STATES(:,1))+ 3.10000.*100000..*exp( 0.350000.*STATES(:,1)));
    RATES(:,2) =  ALGEBRAIC(:,11).*(1.00000 - STATES(:,2)) -  ALGEBRAIC(:,21).*STATES(:,2);
    ALGEBRAIC(:,12) = ( ALGEBRAIC(:,2).*(  - 127140..*exp( 0.244400.*STATES(:,1)) -  3.47400e-05.*exp(  - 0.0439100.*STATES(:,1))).*1.00000.*(STATES(:,1)+37.7800))./(1.00000+exp( 0.311000.*(STATES(:,1)+79.2300)));
    ALGEBRAIC(:,22) = ( (1.00000 - ALGEBRAIC(:,2)).*0.300000.*exp(  - 2.53500e-07.*STATES(:,1)))./(1.00000+exp(  - 0.100000.*(STATES(:,1)+32.0000)))+( ALGEBRAIC(:,2).*0.121200.*exp(  - 0.0105200.*STATES(:,1)))./(1.00000+exp(  - 0.137800.*(STATES(:,1)+40.1400)));
    RATES(:,4) =  ALGEBRAIC(:,12).*(1.00000 - STATES(:,4)) -  ALGEBRAIC(:,22).*STATES(:,4);
    ALGEBRAIC(:,9) = 1.00000./(1.00000+exp((STATES(:,1)+60.0000)./5.60000));
    ALGEBRAIC(:,19) = 1.00000 - 1.00000./(1.00000+exp( - STATES(:,1)./0.00240000));
    ALGEBRAIC(:,24) =  ALGEBRAIC(:,19).*1.00000.*(  - 0.875000.*STATES(:,1)+12.0000)+ 12.0000.*(1.00000 - ALGEBRAIC(:,19));
    RATES(:,13) = (ALGEBRAIC(:,9) - STATES(:,13))./ALGEBRAIC(:,24);
    ALGEBRAIC(:,4) = 1.00000./(1.00000+exp( - (STATES(:,1)+10.0000)./6.24000));
    ALGEBRAIC(:,14) = ( ALGEBRAIC(:,4).*1.00000.*(1.00000 - exp( - (STATES(:,1)+10.0000)./6.24000)))./( 0.0350000.*(STATES(:,1)+10.0000));
    ALGEBRAIC(:,23) = 1.00000./(1.00000+exp( - (STATES(:,1)+60.0000)./0.0240000));
    ALGEBRAIC(:,26) =  ALGEBRAIC(:,4).*ALGEBRAIC(:,23);
    RATES(:,7) = (ALGEBRAIC(:,26) - STATES(:,7))./ALGEBRAIC(:,14);
    ALGEBRAIC(:,41) = (CONSTANTS(:,45)+CONSTANTS(:,44)) - STATES(:,14);
    ALGEBRAIC(:,42) =  STATES(:,14).*CONSTANTS(:,44);
    ALGEBRAIC(:,43) =  - ALGEBRAIC(:,41)./2.00000+power((power(ALGEBRAIC(:,41), 2.00000)+ 4.00000.*ALGEBRAIC(:,42)), 1.0 ./ 2)./2.00000;
    ALGEBRAIC(:,46) = (STATES(:,16) - ALGEBRAIC(:,43))./CONSTANTS(:,49);
    RATES(:,14) = ALGEBRAIC(:,46) - STATES(:,15);
    ALGEBRAIC(:,47) = ((CONSTANTS(:,50)+CONSTANTS(:,51)) - STATES(:,17))+CONSTANTS(:,53)+CONSTANTS(:,52);
    ALGEBRAIC(:,48) = ( CONSTANTS(:,52).*CONSTANTS(:,53) -  STATES(:,17).*(CONSTANTS(:,53)+CONSTANTS(:,52)))+ CONSTANTS(:,51).*CONSTANTS(:,52)+ CONSTANTS(:,50).*CONSTANTS(:,53);
    ALGEBRAIC(:,49) =   - CONSTANTS(:,53).*CONSTANTS(:,52).*STATES(:,17);
    ALGEBRAIC(:,50) =  (( 2.00000.*power(( ALGEBRAIC(:,47).*ALGEBRAIC(:,47) -  3.00000.*ALGEBRAIC(:,48)), 1.0 ./ 2))./3.00000).*cos(acos((( 9.00000.*ALGEBRAIC(:,47).*ALGEBRAIC(:,48) -  2.00000.*ALGEBRAIC(:,47).*ALGEBRAIC(:,47).*ALGEBRAIC(:,47)) -  27.0000.*ALGEBRAIC(:,49))./( 2.00000.*power( ALGEBRAIC(:,47).*ALGEBRAIC(:,47) -  3.00000.*ALGEBRAIC(:,48), 1.50000)))./3.00000) - ALGEBRAIC(:,47)./3.00000;
    ALGEBRAIC(:,51) = ( CONSTANTS(:,17).*4.00000.*STATES(:,1).*CONSTANTS(:,1).*CONSTANTS(:,54).*( CONSTANTS(:,14).*ALGEBRAIC(:,50).*exp( 2.00000.*STATES(:,1).*CONSTANTS(:,54)) -  CONSTANTS(:,15).*CONSTANTS(:,6)))./(exp( 2.00000.*STATES(:,1).*CONSTANTS(:,54)) - 1.00000);
    ALGEBRAIC(:,52) = 1.00000./(1.00000+ALGEBRAIC(:,50)./CONSTANTS(:,16));
    ALGEBRAIC(:,53) =  STATES(:,7).*STATES(:,8).*ALGEBRAIC(:,52).*ALGEBRAIC(:,51);
    ALGEBRAIC(:,55) = ( ALGEBRAIC(:,53).*CONSTANTS(:,67))./(1.00000+power(CONSTANTS(:,40)./ALGEBRAIC(:,43), CONSTANTS(:,43)));
    ALGEBRAIC(:,44) = CONSTANTS(:,41)./(1.00000+0.0123000./ALGEBRAIC(:,43));
    RATES(:,15) =  - (ALGEBRAIC(:,55)+STATES(:,15))./ALGEBRAIC(:,44);
    ALGEBRAIC(:,28) = 1.00000./(1.00000+ 0.124500.*exp(  - 0.100000.*STATES(:,1).*CONSTANTS(:,54))+ 0.0365000.*CONSTANTS(:,56).*exp(  - STATES(:,1).*CONSTANTS(:,54)));
    ALGEBRAIC(:,29) = (( CONSTANTS(:,29).*ALGEBRAIC(:,28))./(1.00000+power(CONSTANTS(:,27)./STATES(:,5), 2.00000)))./(1.00000+CONSTANTS(:,28)./CONSTANTS(:,4));
    ALGEBRAIC(:,33) = log(CONSTANTS(:,4)./STATES(:,6))./CONSTANTS(:,54);
    ALGEBRAIC(:,27) = 1.00000./(1.00000+exp((STATES(:,1)+9.00000)./22.4000));
    ALGEBRAIC(:,38) =  CONSTANTS(:,25).*power((CONSTANTS(:,4)./5.40000), 1.0 ./ 2).*STATES(:,9).*ALGEBRAIC(:,27).*(STATES(:,1) - ALGEBRAIC(:,33));
    ALGEBRAIC(:,40) = log((CONSTANTS(:,4)+ CONSTANTS(:,39).*CONSTANTS(:,5))./(STATES(:,6)+ CONSTANTS(:,39).*STATES(:,5)))./CONSTANTS(:,54);
    ALGEBRAIC(:,57) =  CONSTANTS(:,26).*(1.00000+0.600000./(1.00000+power(3.80000e-05./ALGEBRAIC(:,50), 1.40000)));
    ALGEBRAIC(:,58) =  ALGEBRAIC(:,57).*STATES(:,10).*STATES(:,11).*(STATES(:,1) - ALGEBRAIC(:,40));
    ALGEBRAIC(:,34) = 1.02000./(1.00000+exp( 0.238500.*((STATES(:,1) - ALGEBRAIC(:,33)) - 59.2150)));
    ALGEBRAIC(:,35) = ( 0.491240.*exp( 0.0803200.*((STATES(:,1) - ALGEBRAIC(:,33))+5.47600))+ 1.00000.*exp( 0.0617500.*((STATES(:,1) - ALGEBRAIC(:,33)) - 594.310)))./(1.00000+exp(  - 0.514300.*((STATES(:,1) - ALGEBRAIC(:,33))+4.75300)));
    ALGEBRAIC(:,36) = ( CONSTANTS(:,55).*ALGEBRAIC(:,34))./(ALGEBRAIC(:,34)+ALGEBRAIC(:,35));
    ALGEBRAIC(:,37) =  ALGEBRAIC(:,36).*(STATES(:,1) - ALGEBRAIC(:,33));
    ALGEBRAIC(:,39) = ( CONSTANTS(:,33).*(STATES(:,1) - ALGEBRAIC(:,33)))./(1.00000+exp((7.48800 - STATES(:,1))./5.98000));
    ALGEBRAIC(:,25) = ( CONSTANTS(:,21).*STATES(:,1).*CONSTANTS(:,1).*CONSTANTS(:,54).*( CONSTANTS(:,22).*STATES(:,6).*exp( STATES(:,1).*CONSTANTS(:,54)) -  CONSTANTS(:,23).*CONSTANTS(:,4)))./(exp( STATES(:,1).*CONSTANTS(:,54)) - 1.00000);
    ALGEBRAIC(:,56) =  STATES(:,7).*STATES(:,8).*ALGEBRAIC(:,52).*ALGEBRAIC(:,25);
    ALGEBRAIC(:,1) =  floor(VOI./CONSTANTS(:,10)).*CONSTANTS(:,10);
    ALGEBRAIC(:,10) = piecewise({VOI - ALGEBRAIC(:,1)>=CONSTANTS(:,9)&VOI - ALGEBRAIC(:,1)<=CONSTANTS(:,9)+CONSTANTS(:,11), CONSTANTS(:,12) }, 0.00000);
    ALGEBRAIC(:,59) = ((ALGEBRAIC(:,38)+ALGEBRAIC(:,58)+ALGEBRAIC(:,37)+ALGEBRAIC(:,39)+ALGEBRAIC(:,56)) -  2.00000.*ALGEBRAIC(:,29))+ALGEBRAIC(:,10);
    RATES(:,6) = (  - ALGEBRAIC(:,59).*CONSTANTS(:,66))./CONSTANTS(:,63);
    ALGEBRAIC(:,60) = ( CONSTANTS(:,30).*exp( (CONSTANTS(:,32) - 1.00000).*STATES(:,1).*CONSTANTS(:,54)).*( exp( STATES(:,1).*CONSTANTS(:,54)).*power(STATES(:,5), 3.00000).*CONSTANTS(:,6) -  power(CONSTANTS(:,5), 3.00000).*ALGEBRAIC(:,50)))./(1.00000+ CONSTANTS(:,31).*exp( (CONSTANTS(:,32) - 1.00000).*STATES(:,1).*CONSTANTS(:,54)).*( exp( STATES(:,1).*CONSTANTS(:,54)).*power(STATES(:,5), 3.00000).*CONSTANTS(:,6)+ power(CONSTANTS(:,5), 3.00000).*ALGEBRAIC(:,50)));
    ALGEBRAIC(:,30) = log(CONSTANTS(:,5)./STATES(:,5))./CONSTANTS(:,54);
    ALGEBRAIC(:,31) =  CONSTANTS(:,13).*STATES(:,3).*STATES(:,3).*STATES(:,3).*STATES(:,2).*STATES(:,4).*(STATES(:,1) - ALGEBRAIC(:,30));
    ALGEBRAIC(:,32) =  CONSTANTS(:,37).*(STATES(:,1) - ALGEBRAIC(:,30));
    ALGEBRAIC(:,20) = ( CONSTANTS(:,18).*STATES(:,1).*CONSTANTS(:,1).*CONSTANTS(:,54).*( CONSTANTS(:,19).*STATES(:,5).*exp( STATES(:,1).*CONSTANTS(:,54)) -  CONSTANTS(:,20).*CONSTANTS(:,5)))./(exp( STATES(:,1).*CONSTANTS(:,54)) - 1.00000);
    ALGEBRAIC(:,54) =  STATES(:,7).*STATES(:,8).*ALGEBRAIC(:,52).*ALGEBRAIC(:,20);
    ALGEBRAIC(:,61) = ALGEBRAIC(:,31)+ALGEBRAIC(:,32)+ 3.00000.*ALGEBRAIC(:,60)+ALGEBRAIC(:,54)+ 3.00000.*ALGEBRAIC(:,29);
    RATES(:,5) = (  - ALGEBRAIC(:,61).*CONSTANTS(:,66))./CONSTANTS(:,63);
    ALGEBRAIC(:,63) =  CONSTANTS(:,36).*(STATES(:,1) - log(CONSTANTS(:,6)./ALGEBRAIC(:,50))./( 2.00000.*CONSTANTS(:,54)));
    ALGEBRAIC(:,62) = ( CONSTANTS(:,34).*ALGEBRAIC(:,50))./(CONSTANTS(:,35)+ALGEBRAIC(:,50));
    ALGEBRAIC(:,64) = (log(CONSTANTS(:,6)./ALGEBRAIC(:,50))./2.00000)./CONSTANTS(:,54);
    ALGEBRAIC(:,65) =  CONSTANTS(:,38).*STATES(:,12).*STATES(:,12).*STATES(:,13).*(STATES(:,1) - ALGEBRAIC(:,64));
    ALGEBRAIC(:,66) = ((ALGEBRAIC(:,53)+ALGEBRAIC(:,63)+ALGEBRAIC(:,62)) -  2.00000.*ALGEBRAIC(:,60))+ALGEBRAIC(:,65);
    RATES(:,1) =  - (ALGEBRAIC(:,61)+ALGEBRAIC(:,59)+ALGEBRAIC(:,66));
    ALGEBRAIC(:,67) = ( CONSTANTS(:,47).*ALGEBRAIC(:,50))./(ALGEBRAIC(:,50)+CONSTANTS(:,46));
    ALGEBRAIC(:,45) = ( CONSTANTS(:,47).*STATES(:,16))./CONSTANTS(:,48);
    RATES(:,17) = (  - ALGEBRAIC(:,66).*CONSTANTS(:,66))./( CONSTANTS(:,63).*2.00000)+( (ALGEBRAIC(:,45) - ALGEBRAIC(:,67)).*CONSTANTS(:,64))./CONSTANTS(:,63)+( STATES(:,15).*CONSTANTS(:,65))./CONSTANTS(:,63);
    RATES(:,16) = (ALGEBRAIC(:,67) - ( ALGEBRAIC(:,46).*CONSTANTS(:,65))./CONSTANTS(:,64)) - ALGEBRAIC(:,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(:,3) = ( 0.320000.*1.00000.*(STATES(:,1)+47.1300))./(1.00000 - exp(  - 0.100000.*(STATES(:,1)+47.1300)));
    ALGEBRAIC(:,13) =  0.0800000.*exp( - STATES(:,1)./11.0000);
    ALGEBRAIC(:,5) = 1.00000./(1.00000+exp((STATES(:,1)+32.0000)./8.00000))+0.600000./(1.00000+exp((50.0000 - STATES(:,1))./20.0000));
    ALGEBRAIC(:,15) = 1.00000./( 0.0197000.*exp( - power( 0.0337000.*(STATES(:,1)+10.0000), 2.00000))+0.0200000);
    ALGEBRAIC(:,6) = 1.00000./(1.00000+exp( - (STATES(:,1)+10.0850)./4.25000));
    ALGEBRAIC(:,16) = 1.00000./(( 0.00138000.*(STATES(:,1)+14.2000))./(1.00000 - exp(  - 0.123000.*(STATES(:,1)+14.2000)))+( 0.000610000.*(STATES(:,1)+38.9000))./(exp( 0.145000.*(STATES(:,1)+38.9000)) - 1.00000));
    ALGEBRAIC(:,7) = 1.00000./(1.00000+exp( - (STATES(:,1) - 1.50000)./16.7000));
    ALGEBRAIC(:,17) = 1.00000./(( 7.19000e-05.*(STATES(:,1)+30.0000))./(1.00000 - exp(  - 0.148000.*(STATES(:,1)+30.0000)))+( 0.000131000.*(STATES(:,1)+30.0000))./(exp( 0.0687000.*(STATES(:,1)+30.0000)) - 1.00000));
    ALGEBRAIC(:,8) = 1.00000./(1.00000+exp( - (STATES(:,1)+14.0000)./10.8000));
    ALGEBRAIC(:,18) = 3.70000+6.10000./(1.00000+exp((STATES(:,1)+25.0000)./4.50000));
    ALGEBRAIC(:,2) = 1.00000 - 1.00000./(1.00000+exp( - (STATES(:,1)+40.0000)./0.0240000));
    ALGEBRAIC(:,11) =  ALGEBRAIC(:,2).*0.135000.*exp((80.0000+STATES(:,1))./ - 6.80000);
    ALGEBRAIC(:,21) = (1.00000 - ALGEBRAIC(:,2))./( 0.130000.*(1.00000+exp((STATES(:,1)+10.6600)./ - 11.1000)))+ ALGEBRAIC(:,2).*( 3.56000.*exp( 0.0790000.*STATES(:,1))+ 3.10000.*100000..*exp( 0.350000.*STATES(:,1)));
    ALGEBRAIC(:,12) = ( ALGEBRAIC(:,2).*(  - 127140..*exp( 0.244400.*STATES(:,1)) -  3.47400e-05.*exp(  - 0.0439100.*STATES(:,1))).*1.00000.*(STATES(:,1)+37.7800))./(1.00000+exp( 0.311000.*(STATES(:,1)+79.2300)));
    ALGEBRAIC(:,22) = ( (1.00000 - ALGEBRAIC(:,2)).*0.300000.*exp(  - 2.53500e-07.*STATES(:,1)))./(1.00000+exp(  - 0.100000.*(STATES(:,1)+32.0000)))+( ALGEBRAIC(:,2).*0.121200.*exp(  - 0.0105200.*STATES(:,1)))./(1.00000+exp(  - 0.137800.*(STATES(:,1)+40.1400)));
    ALGEBRAIC(:,9) = 1.00000./(1.00000+exp((STATES(:,1)+60.0000)./5.60000));
    ALGEBRAIC(:,19) = 1.00000 - 1.00000./(1.00000+exp( - STATES(:,1)./0.00240000));
    ALGEBRAIC(:,24) =  ALGEBRAIC(:,19).*1.00000.*(  - 0.875000.*STATES(:,1)+12.0000)+ 12.0000.*(1.00000 - ALGEBRAIC(:,19));
    ALGEBRAIC(:,4) = 1.00000./(1.00000+exp( - (STATES(:,1)+10.0000)./6.24000));
    ALGEBRAIC(:,14) = ( ALGEBRAIC(:,4).*1.00000.*(1.00000 - exp( - (STATES(:,1)+10.0000)./6.24000)))./( 0.0350000.*(STATES(:,1)+10.0000));
    ALGEBRAIC(:,23) = 1.00000./(1.00000+exp( - (STATES(:,1)+60.0000)./0.0240000));
    ALGEBRAIC(:,26) =  ALGEBRAIC(:,4).*ALGEBRAIC(:,23);
    ALGEBRAIC(:,41) = (CONSTANTS(:,45)+CONSTANTS(:,44)) - STATES(:,14);
    ALGEBRAIC(:,42) =  STATES(:,14).*CONSTANTS(:,44);
    ALGEBRAIC(:,43) =  - ALGEBRAIC(:,41)./2.00000+power((power(ALGEBRAIC(:,41), 2.00000)+ 4.00000.*ALGEBRAIC(:,42)), 1.0 ./ 2)./2.00000;
    ALGEBRAIC(:,46) = (STATES(:,16) - ALGEBRAIC(:,43))./CONSTANTS(:,49);
    ALGEBRAIC(:,47) = ((CONSTANTS(:,50)+CONSTANTS(:,51)) - STATES(:,17))+CONSTANTS(:,53)+CONSTANTS(:,52);
    ALGEBRAIC(:,48) = ( CONSTANTS(:,52).*CONSTANTS(:,53) -  STATES(:,17).*(CONSTANTS(:,53)+CONSTANTS(:,52)))+ CONSTANTS(:,51).*CONSTANTS(:,52)+ CONSTANTS(:,50).*CONSTANTS(:,53);
    ALGEBRAIC(:,49) =   - CONSTANTS(:,53).*CONSTANTS(:,52).*STATES(:,17);
    ALGEBRAIC(:,50) =  (( 2.00000.*power(( ALGEBRAIC(:,47).*ALGEBRAIC(:,47) -  3.00000.*ALGEBRAIC(:,48)), 1.0 ./ 2))./3.00000).*cos(acos((( 9.00000.*ALGEBRAIC(:,47).*ALGEBRAIC(:,48) -  2.00000.*ALGEBRAIC(:,47).*ALGEBRAIC(:,47).*ALGEBRAIC(:,47)) -  27.0000.*ALGEBRAIC(:,49))./( 2.00000.*power( ALGEBRAIC(:,47).*ALGEBRAIC(:,47) -  3.00000.*ALGEBRAIC(:,48), 1.50000)))./3.00000) - ALGEBRAIC(:,47)./3.00000;
    ALGEBRAIC(:,51) = ( CONSTANTS(:,17).*4.00000.*STATES(:,1).*CONSTANTS(:,1).*CONSTANTS(:,54).*( CONSTANTS(:,14).*ALGEBRAIC(:,50).*exp( 2.00000.*STATES(:,1).*CONSTANTS(:,54)) -  CONSTANTS(:,15).*CONSTANTS(:,6)))./(exp( 2.00000.*STATES(:,1).*CONSTANTS(:,54)) - 1.00000);
    ALGEBRAIC(:,52) = 1.00000./(1.00000+ALGEBRAIC(:,50)./CONSTANTS(:,16));
    ALGEBRAIC(:,53) =  STATES(:,7).*STATES(:,8).*ALGEBRAIC(:,52).*ALGEBRAIC(:,51);
    ALGEBRAIC(:,55) = ( ALGEBRAIC(:,53).*CONSTANTS(:,67))./(1.00000+power(CONSTANTS(:,40)./ALGEBRAIC(:,43), CONSTANTS(:,43)));
    ALGEBRAIC(:,44) = CONSTANTS(:,41)./(1.00000+0.0123000./ALGEBRAIC(:,43));
    ALGEBRAIC(:,28) = 1.00000./(1.00000+ 0.124500.*exp(  - 0.100000.*STATES(:,1).*CONSTANTS(:,54))+ 0.0365000.*CONSTANTS(:,56).*exp(  - STATES(:,1).*CONSTANTS(:,54)));
    ALGEBRAIC(:,29) = (( CONSTANTS(:,29).*ALGEBRAIC(:,28))./(1.00000+power(CONSTANTS(:,27)./STATES(:,5), 2.00000)))./(1.00000+CONSTANTS(:,28)./CONSTANTS(:,4));
    ALGEBRAIC(:,33) = log(CONSTANTS(:,4)./STATES(:,6))./CONSTANTS(:,54);
    ALGEBRAIC(:,27) = 1.00000./(1.00000+exp((STATES(:,1)+9.00000)./22.4000));
    ALGEBRAIC(:,38) =  CONSTANTS(:,25).*power((CONSTANTS(:,4)./5.40000), 1.0 ./ 2).*STATES(:,9).*ALGEBRAIC(:,27).*(STATES(:,1) - ALGEBRAIC(:,33));
    ALGEBRAIC(:,40) = log((CONSTANTS(:,4)+ CONSTANTS(:,39).*CONSTANTS(:,5))./(STATES(:,6)+ CONSTANTS(:,39).*STATES(:,5)))./CONSTANTS(:,54);
    ALGEBRAIC(:,57) =  CONSTANTS(:,26).*(1.00000+0.600000./(1.00000+power(3.80000e-05./ALGEBRAIC(:,50), 1.40000)));
    ALGEBRAIC(:,58) =  ALGEBRAIC(:,57).*STATES(:,10).*STATES(:,11).*(STATES(:,1) - ALGEBRAIC(:,40));
    ALGEBRAIC(:,34) = 1.02000./(1.00000+exp( 0.238500.*((STATES(:,1) - ALGEBRAIC(:,33)) - 59.2150)));
    ALGEBRAIC(:,35) = ( 0.491240.*exp( 0.0803200.*((STATES(:,1) - ALGEBRAIC(:,33))+5.47600))+ 1.00000.*exp( 0.0617500.*((STATES(:,1) - ALGEBRAIC(:,33)) - 594.310)))./(1.00000+exp(  - 0.514300.*((STATES(:,1) - ALGEBRAIC(:,33))+4.75300)));
    ALGEBRAIC(:,36) = ( CONSTANTS(:,55).*ALGEBRAIC(:,34))./(ALGEBRAIC(:,34)+ALGEBRAIC(:,35));
    ALGEBRAIC(:,37) =  ALGEBRAIC(:,36).*(STATES(:,1) - ALGEBRAIC(:,33));
    ALGEBRAIC(:,39) = ( CONSTANTS(:,33).*(STATES(:,1) - ALGEBRAIC(:,33)))./(1.00000+exp((7.48800 - STATES(:,1))./5.98000));
    ALGEBRAIC(:,25) = ( CONSTANTS(:,21).*STATES(:,1).*CONSTANTS(:,1).*CONSTANTS(:,54).*( CONSTANTS(:,22).*STATES(:,6).*exp( STATES(:,1).*CONSTANTS(:,54)) -  CONSTANTS(:,23).*CONSTANTS(:,4)))./(exp( STATES(:,1).*CONSTANTS(:,54)) - 1.00000);
    ALGEBRAIC(:,56) =  STATES(:,7).*STATES(:,8).*ALGEBRAIC(:,52).*ALGEBRAIC(:,25);
    ALGEBRAIC(:,1) =  floor(VOI./CONSTANTS(:,10)).*CONSTANTS(:,10);
    ALGEBRAIC(:,10) = piecewise({VOI - ALGEBRAIC(:,1)>=CONSTANTS(:,9)&VOI - ALGEBRAIC(:,1)<=CONSTANTS(:,9)+CONSTANTS(:,11), CONSTANTS(:,12) }, 0.00000);
    ALGEBRAIC(:,59) = ((ALGEBRAIC(:,38)+ALGEBRAIC(:,58)+ALGEBRAIC(:,37)+ALGEBRAIC(:,39)+ALGEBRAIC(:,56)) -  2.00000.*ALGEBRAIC(:,29))+ALGEBRAIC(:,10);
    ALGEBRAIC(:,60) = ( CONSTANTS(:,30).*exp( (CONSTANTS(:,32) - 1.00000).*STATES(:,1).*CONSTANTS(:,54)).*( exp( STATES(:,1).*CONSTANTS(:,54)).*power(STATES(:,5), 3.00000).*CONSTANTS(:,6) -  power(CONSTANTS(:,5), 3.00000).*ALGEBRAIC(:,50)))./(1.00000+ CONSTANTS(:,31).*exp( (CONSTANTS(:,32) - 1.00000).*STATES(:,1).*CONSTANTS(:,54)).*( exp( STATES(:,1).*CONSTANTS(:,54)).*power(STATES(:,5), 3.00000).*CONSTANTS(:,6)+ power(CONSTANTS(:,5), 3.00000).*ALGEBRAIC(:,50)));
    ALGEBRAIC(:,30) = log(CONSTANTS(:,5)./STATES(:,5))./CONSTANTS(:,54);
    ALGEBRAIC(:,31) =  CONSTANTS(:,13).*STATES(:,3).*STATES(:,3).*STATES(:,3).*STATES(:,2).*STATES(:,4).*(STATES(:,1) - ALGEBRAIC(:,30));
    ALGEBRAIC(:,32) =  CONSTANTS(:,37).*(STATES(:,1) - ALGEBRAIC(:,30));
    ALGEBRAIC(:,20) = ( CONSTANTS(:,18).*STATES(:,1).*CONSTANTS(:,1).*CONSTANTS(:,54).*( CONSTANTS(:,19).*STATES(:,5).*exp( STATES(:,1).*CONSTANTS(:,54)) -  CONSTANTS(:,20).*CONSTANTS(:,5)))./(exp( STATES(:,1).*CONSTANTS(:,54)) - 1.00000);
    ALGEBRAIC(:,54) =  STATES(:,7).*STATES(:,8).*ALGEBRAIC(:,52).*ALGEBRAIC(:,20);
    ALGEBRAIC(:,61) = ALGEBRAIC(:,31)+ALGEBRAIC(:,32)+ 3.00000.*ALGEBRAIC(:,60)+ALGEBRAIC(:,54)+ 3.00000.*ALGEBRAIC(:,29);
    ALGEBRAIC(:,63) =  CONSTANTS(:,36).*(STATES(:,1) - log(CONSTANTS(:,6)./ALGEBRAIC(:,50))./( 2.00000.*CONSTANTS(:,54)));
    ALGEBRAIC(:,62) = ( CONSTANTS(:,34).*ALGEBRAIC(:,50))./(CONSTANTS(:,35)+ALGEBRAIC(:,50));
    ALGEBRAIC(:,64) = (log(CONSTANTS(:,6)./ALGEBRAIC(:,50))./2.00000)./CONSTANTS(:,54);
    ALGEBRAIC(:,65) =  CONSTANTS(:,38).*STATES(:,12).*STATES(:,12).*STATES(:,13).*(STATES(:,1) - ALGEBRAIC(:,64));
    ALGEBRAIC(:,66) = ((ALGEBRAIC(:,53)+ALGEBRAIC(:,63)+ALGEBRAIC(:,62)) -  2.00000.*ALGEBRAIC(:,60))+ALGEBRAIC(:,65);
    ALGEBRAIC(:,67) = ( CONSTANTS(:,47).*ALGEBRAIC(:,50))./(ALGEBRAIC(:,50)+CONSTANTS(:,46));
    ALGEBRAIC(:,45) = ( CONSTANTS(:,47).*STATES(:,16))./CONSTANTS(:,48);
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