Generated Code

The following is matlab code generated by the CellML API from this CellML file. (Back to language selection)

The raw code is available.

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 =86;
end
% There are a total of 44 entries in each of the rate and state variable arrays.
% There are a total of 96 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 Circ_Environment (ms)');
    LEGEND_CONSTANTS(:,1) = strpad('HR in component Circ_Environment (ratepm)');
    LEGEND_CONSTANTS(:,92) = strpad('hrf in component Circ_Environment (Hz)');
    LEGEND_ALGEBRAIC(:,1) = strpad('beattime in component LATiming (ms)');
    LEGEND_CONSTANTS(:,2) = strpad('Esys in component LAElastanceFunction (elastance)');
    LEGEND_CONSTANTS(:,3) = strpad('Edia in component LAElastanceFunction (elastance)');
    LEGEND_CONSTANTS(:,4) = strpad('TsK in component LAElastanceFunction (ms)');
    LEGEND_CONSTANTS(:,93) = strpad('Ts in component LAElastanceFunction (ms)');
    LEGEND_ALGEBRAIC(:,2) = strpad('E_LA in component LAElastanceFunction (elastance)');
    LEGEND_ALGEBRAIC(:,83) = strpad('P_PV in component PulmonaryVein (mmHg)');
    LEGEND_ALGEBRAIC(:,10) = strpad('F_LV in component LeftVentricle (flow)');
    LEGEND_CONSTANTS(:,5) = strpad('P_LA_ext in component LeftAtrium (mmHg)');
    LEGEND_STATES(:,1) = strpad('V_LA in component LeftAtrium (mL)');
    LEGEND_CONSTANTS(:,6) = strpad('V_LA_0 in component LeftAtrium (mL)');
    LEGEND_ALGEBRAIC(:,4) = strpad('P_LA in component LeftAtrium (mmHg)');
    LEGEND_ALGEBRAIC(:,84) = strpad('F_LA in component LeftAtrium (flow)');
    LEGEND_CONSTANTS(:,7) = strpad('R_LA in component LeftAtrium (resistance)');
    LEGEND_ALGEBRAIC(:,3) = strpad('conc_X_LA in component LeftAtrium (concentration)');
    LEGEND_ALGEBRAIC(:,82) = strpad('conc_X_PV in component PulmonaryVein (concentration)');
    LEGEND_STATES(:,2) = strpad('sub_X_LA in component LeftAtrium (mL)');
    LEGEND_CONSTANTS(:,8) = strpad('PRint in component LVTiming (ms)');
    LEGEND_ALGEBRAIC(:,5) = strpad('beattime in component LVTiming (ms)');
    LEGEND_CONSTANTS(:,9) = strpad('Esys in component LVElastanceFunction (elastance)');
    LEGEND_CONSTANTS(:,10) = strpad('Edia in component LVElastanceFunction (elastance)');
    LEGEND_CONSTANTS(:,11) = strpad('TsK in component LVElastanceFunction (second)');
    LEGEND_CONSTANTS(:,94) = strpad('Ts in component LVElastanceFunction (second)');
    LEGEND_ALGEBRAIC(:,6) = strpad('E_LV in component LVElastanceFunction (elastance)');
    LEGEND_ALGEBRAIC(:,13) = strpad('F_AO in component Aorta (flow)');
    LEGEND_ALGEBRAIC(:,16) = strpad('F_CO in component CoronaryCirc (flow)');
    LEGEND_CONSTANTS(:,12) = strpad('pLVPext in component LeftVentricle (mmHg)');
    LEGEND_STATES(:,3) = strpad('V_LV in component LeftVentricle (mL)');
    LEGEND_CONSTANTS(:,13) = strpad('V_LV_0 in component LeftVentricle (mL)');
    LEGEND_ALGEBRAIC(:,8) = strpad('P_LV in component LeftVentricle (mmHg)');
    LEGEND_CONSTANTS(:,14) = strpad('R_LV in component LeftVentricle (resistance)');
    LEGEND_ALGEBRAIC(:,7) = strpad('conc_X_LV in component LeftVentricle (concentration)');
    LEGEND_STATES(:,4) = strpad('sub_X_LV in component LeftVentricle (mL)');
    LEGEND_ALGEBRAIC(:,9) = strpad('fiber_stress in component LeftVentricle (mmHg)');
    LEGEND_ALGEBRAIC(:,20) = strpad('F_CR in component CarotidCirc (flow)');
    LEGEND_ALGEBRAIC(:,23) = strpad('F_AR in component Arteries (flow)');
    LEGEND_CONSTANTS(:,15) = strpad('C_AO in component Aorta (capacitance)');
    LEGEND_CONSTANTS(:,16) = strpad('L_AO in component Aorta (inductance)');
    LEGEND_CONSTANTS(:,17) = strpad('R_AO in component Aorta (resistance)');
    LEGEND_CONSTANTS(:,18) = strpad('V_AO_0 in component Aorta (mL)');
    LEGEND_STATES(:,5) = strpad('V_AO in component Aorta (mL)');
    LEGEND_STATES(:,6) = strpad('F_AOalways in component Aorta (flow)');
    LEGEND_ALGEBRAIC(:,12) = strpad('P_AO in component Aorta (mmHg)');
    LEGEND_ALGEBRAIC(:,11) = strpad('conc_X_AO in component Aorta (concentration)');
    LEGEND_STATES(:,7) = strpad('sub_X_AO in component Aorta (mL)');
    LEGEND_ALGEBRAIC(:,63) = strpad('P_RA in component RightAtrium (mmHg)');
    LEGEND_CONSTANTS(:,19) = strpad('R_CO in component CoronaryCirc (resistance)');
    LEGEND_CONSTANTS(:,20) = strpad('R_COV in component CoronaryCirc (resistance)');
    LEGEND_CONSTANTS(:,21) = strpad('V_CO_0 in component CoronaryCirc (mL)');
    LEGEND_CONSTANTS(:,22) = strpad('C_CO in component CoronaryCirc (capacitance)');
    LEGEND_ALGEBRAIC(:,64) = strpad('F_COV in component CoronaryCirc (flow)');
    LEGEND_STATES(:,8) = strpad('V_CO in component CoronaryCirc (mL)');
    LEGEND_ALGEBRAIC(:,15) = strpad('P_CO in component CoronaryCirc (mmHg)');
    LEGEND_ALGEBRAIC(:,14) = strpad('conc_X_CO in component CoronaryCirc (concentration)');
    LEGEND_STATES(:,9) = strpad('sub_X_CO in component CoronaryCirc (mL)');
    LEGEND_ALGEBRAIC(:,56) = strpad('P_VC in component VenaCava (mmHg)');
    LEGEND_CONSTANTS(:,23) = strpad('R_CR in component CarotidCirc (resistance)');
    LEGEND_CONSTANTS(:,24) = strpad('R_CRV in component CarotidCirc (resistance)');
    LEGEND_CONSTANTS(:,25) = strpad('V_CR_0 in component CarotidCirc (mL)');
    LEGEND_CONSTANTS(:,26) = strpad('C_CR in component CarotidCirc (capacitance)');
    LEGEND_ALGEBRAIC(:,57) = strpad('F_CRV in component CarotidCirc (flow)');
    LEGEND_STATES(:,10) = strpad('V_CR in component CarotidCirc (mL)');
    LEGEND_ALGEBRAIC(:,19) = strpad('P_CR in component CarotidCirc (mmHg)');
    LEGEND_ALGEBRAIC(:,18) = strpad('conc_X_CR in component CarotidCirc (concentration)');
    LEGEND_STATES(:,11) = strpad('sub_X_CR in component CarotidCirc (mL)');
    LEGEND_ALGEBRAIC(:,17) = strpad('conc_X_CRtissue in component CarotidCirc (concentration)');
    LEGEND_CONSTANTS(:,27) = strpad('D_CRtissue in component CarotidCirc (flow)');
    LEGEND_CONSTANTS(:,28) = strpad('V_CRtissue in component CarotidCirc (mL)');
    LEGEND_STATES(:,12) = strpad('sub_X_CRtissue in component CarotidCirc (mL)');
    LEGEND_ALGEBRAIC(:,26) = strpad('F_AD in component Adipose (flow)');
    LEGEND_ALGEBRAIC(:,29) = strpad('F_MU in component Muscle (flow)');
    LEGEND_ALGEBRAIC(:,32) = strpad('F_GI in component GutIntestine (flow)');
    LEGEND_ALGEBRAIC(:,36) = strpad('F_LI in component Liver (flow)');
    LEGEND_ALGEBRAIC(:,39) = strpad('F_KI in component Kidney (flow)');
    LEGEND_ALGEBRAIC(:,45) = strpad('F_OT in component OtherTissue (flow)');
    LEGEND_ALGEBRAIC(:,42) = strpad('F_SK in component Skin (flow)');
    LEGEND_CONSTANTS(:,29) = strpad('R_AR in component Arteries (resistance)');
    LEGEND_CONSTANTS(:,30) = strpad('C_AR in component Arteries (capacitance)');
    LEGEND_CONSTANTS(:,31) = strpad('V_AR_0 in component Arteries (mL)');
    LEGEND_STATES(:,13) = strpad('V_AR in component Arteries (mL)');
    LEGEND_ALGEBRAIC(:,22) = strpad('P_AR in component Arteries (mmHg)');
    LEGEND_ALGEBRAIC(:,21) = strpad('conc_X_AR in component Arteries (concentration)');
    LEGEND_STATES(:,14) = strpad('sub_X_AR in component Arteries (mL)');
    LEGEND_ALGEBRAIC(:,47) = strpad('P_VE in component Veins (mmHg)');
    LEGEND_CONSTANTS(:,32) = strpad('C_AD in component Adipose (capacitance)');
    LEGEND_CONSTANTS(:,33) = strpad('R_AD in component Adipose (resistance)');
    LEGEND_CONSTANTS(:,34) = strpad('R_ADV in component Adipose (resistance)');
    LEGEND_CONSTANTS(:,35) = strpad('V_AD_0 in component Adipose (mL)');
    LEGEND_STATES(:,15) = strpad('V_AD in component Adipose (mL)');
    LEGEND_ALGEBRAIC(:,48) = strpad('F_ADV in component Adipose (flow)');
    LEGEND_ALGEBRAIC(:,25) = strpad('P_AD in component Adipose (mmHg)');
    LEGEND_ALGEBRAIC(:,24) = strpad('conc_X_AD in component Adipose (concentration)');
    LEGEND_STATES(:,16) = strpad('sub_X_AD in component Adipose (mL)');
    LEGEND_CONSTANTS(:,36) = strpad('C_MU in component Muscle (capacitance)');
    LEGEND_CONSTANTS(:,37) = strpad('R_MU in component Muscle (resistance)');
    LEGEND_CONSTANTS(:,38) = strpad('R_MUV in component Muscle (resistance)');
    LEGEND_CONSTANTS(:,39) = strpad('V_MU_0 in component Muscle (mL)');
    LEGEND_STATES(:,17) = strpad('V_MU in component Muscle (mL)');
    LEGEND_ALGEBRAIC(:,49) = strpad('F_MUV in component Muscle (flow)');
    LEGEND_ALGEBRAIC(:,28) = strpad('P_MU in component Muscle (mmHg)');
    LEGEND_ALGEBRAIC(:,27) = strpad('conc_X_MU in component Muscle (concentration)');
    LEGEND_STATES(:,18) = strpad('sub_X_MU in component Muscle (mL)');
    LEGEND_ALGEBRAIC(:,34) = strpad('P_LI in component Liver (mmHg)');
    LEGEND_CONSTANTS(:,40) = strpad('C_GI in component GutIntestine (capacitance)');
    LEGEND_CONSTANTS(:,41) = strpad('R_GI in component GutIntestine (resistance)');
    LEGEND_CONSTANTS(:,42) = strpad('R_GIV in component GutIntestine (resistance)');
    LEGEND_CONSTANTS(:,43) = strpad('V_GI_0 in component GutIntestine (mL)');
    LEGEND_STATES(:,19) = strpad('V_GI in component GutIntestine (mL)');
    LEGEND_ALGEBRAIC(:,35) = strpad('F_GIV in component GutIntestine (flow)');
    LEGEND_ALGEBRAIC(:,31) = strpad('P_GI in component GutIntestine (mmHg)');
    LEGEND_ALGEBRAIC(:,30) = strpad('conc_X_GI in component GutIntestine (concentration)');
    LEGEND_STATES(:,20) = strpad('sub_X_GI in component GutIntestine (mL)');
    LEGEND_CONSTANTS(:,44) = strpad('C_LI in component Liver (capacitance)');
    LEGEND_CONSTANTS(:,45) = strpad('R_LI in component Liver (resistance)');
    LEGEND_CONSTANTS(:,46) = strpad('R_LIV in component Liver (resistance)');
    LEGEND_CONSTANTS(:,47) = strpad('V_LI_0 in component Liver (mL)');
    LEGEND_STATES(:,21) = strpad('V_LI in component Liver (mL)');
    LEGEND_ALGEBRAIC(:,50) = strpad('F_LIV in component Liver (flow)');
    LEGEND_ALGEBRAIC(:,33) = strpad('conc_X_LI in component Liver (concentration)');
    LEGEND_STATES(:,22) = strpad('sub_X_LI in component Liver (mL)');
    LEGEND_CONSTANTS(:,48) = strpad('metabolism in component Liver (flow)');
    LEGEND_CONSTANTS(:,49) = strpad('C_KI in component Kidney (capacitance)');
    LEGEND_CONSTANTS(:,50) = strpad('R_KI in component Kidney (resistance)');
    LEGEND_CONSTANTS(:,51) = strpad('V_KI_0 in component Kidney (mL)');
    LEGEND_CONSTANTS(:,52) = strpad('R_KIV in component Kidney (resistance)');
    LEGEND_STATES(:,23) = strpad('V_KI in component Kidney (mL)');
    LEGEND_ALGEBRAIC(:,51) = strpad('F_KIV in component Kidney (flow)');
    LEGEND_ALGEBRAIC(:,38) = strpad('P_KI in component Kidney (mmHg)');
    LEGEND_ALGEBRAIC(:,37) = strpad('conc_X_KI in component Kidney (concentration)');
    LEGEND_STATES(:,24) = strpad('sub_X_KI in component Kidney (mL)');
    LEGEND_CONSTANTS(:,53) = strpad('C_SK in component Skin (capacitance)');
    LEGEND_CONSTANTS(:,54) = strpad('R_SK in component Skin (resistance)');
    LEGEND_CONSTANTS(:,55) = strpad('R_SKV in component Skin (resistance)');
    LEGEND_CONSTANTS(:,56) = strpad('V_SK_0 in component Skin (mL)');
    LEGEND_STATES(:,25) = strpad('V_SK in component Skin (mL)');
    LEGEND_ALGEBRAIC(:,52) = strpad('F_SKV in component Skin (flow)');
    LEGEND_ALGEBRAIC(:,41) = strpad('P_SK in component Skin (mmHg)');
    LEGEND_ALGEBRAIC(:,40) = strpad('conc_X_SK in component Skin (concentration)');
    LEGEND_STATES(:,26) = strpad('sub_X_SK in component Skin (mL)');
    LEGEND_CONSTANTS(:,57) = strpad('C_OT in component OtherTissue (capacitance)');
    LEGEND_CONSTANTS(:,58) = strpad('R_OT in component OtherTissue (resistance)');
    LEGEND_CONSTANTS(:,59) = strpad('R_OTV in component OtherTissue (resistance)');
    LEGEND_CONSTANTS(:,60) = strpad('V_OT_0 in component OtherTissue (mL)');
    LEGEND_STATES(:,27) = strpad('V_OT in component OtherTissue (mL)');
    LEGEND_ALGEBRAIC(:,53) = strpad('F_OTV in component OtherTissue (flow)');
    LEGEND_ALGEBRAIC(:,44) = strpad('P_OT in component OtherTissue (mmHg)');
    LEGEND_ALGEBRAIC(:,43) = strpad('conc_X_OT in component OtherTissue (concentration)');
    LEGEND_STATES(:,28) = strpad('sub_X_OT in component OtherTissue (mL)');
    LEGEND_CONSTANTS(:,61) = strpad('R_VEV in component Veins (resistance)');
    LEGEND_STATES(:,29) = strpad('V_VE in component Veins (mL)');
    LEGEND_CONSTANTS(:,62) = strpad('C_VE in component Veins (capacitance)');
    LEGEND_CONSTANTS(:,63) = strpad('V_VE_0 in component Veins (mL)');
    LEGEND_ALGEBRAIC(:,54) = strpad('F_VE in component Veins (flow)');
    LEGEND_ALGEBRAIC(:,58) = strpad('F_VEV in component Veins (flow)');
    LEGEND_ALGEBRAIC(:,46) = strpad('conc_X_VE in component Veins (concentration)');
    LEGEND_STATES(:,30) = strpad('sub_X_VE in component Veins (mL)');
    LEGEND_CONSTANTS(:,64) = strpad('R_VCV in component VenaCava (resistance)');
    LEGEND_STATES(:,31) = strpad('V_VC in component VenaCava (mL)');
    LEGEND_CONSTANTS(:,65) = strpad('V_VC_0 in component VenaCava (mL)');
    LEGEND_CONSTANTS(:,66) = strpad('C_VC in component VenaCava (capacitance)');
    LEGEND_ALGEBRAIC(:,59) = strpad('F_VC in component VenaCava (flow)');
    LEGEND_ALGEBRAIC(:,65) = strpad('F_VCV in component VenaCava (flow)');
    LEGEND_ALGEBRAIC(:,55) = strpad('conc_X_VC in component VenaCava (concentration)');
    LEGEND_STATES(:,32) = strpad('sub_X_VC in component VenaCava (mL)');
    LEGEND_ALGEBRAIC(:,60) = strpad('beattime in component RATiming (ms)');
    LEGEND_CONSTANTS(:,67) = strpad('Esys in component RAElastanceFunction (elastance)');
    LEGEND_CONSTANTS(:,68) = strpad('Edia in component RAElastanceFunction (elastance)');
    LEGEND_CONSTANTS(:,69) = strpad('TsK in component RAElastanceFunction (second)');
    LEGEND_CONSTANTS(:,95) = strpad('Ts in component RAElastanceFunction (second)');
    LEGEND_ALGEBRAIC(:,61) = strpad('E_RA in component RAElastanceFunction (elastance)');
    LEGEND_ALGEBRAIC(:,71) = strpad('F_RV in component RightVentricle (flow)');
    LEGEND_CONSTANTS(:,70) = strpad('P_RA_ext in component RightAtrium (mmHg)');
    LEGEND_STATES(:,33) = strpad('V_RA in component RightAtrium (mL)');
    LEGEND_CONSTANTS(:,71) = strpad('V_RA_0 in component RightAtrium (mL)');
    LEGEND_ALGEBRAIC(:,66) = strpad('F_RA in component RightAtrium (flow)');
    LEGEND_ALGEBRAIC(:,62) = strpad('conc_X_RA in component RightAtrium (concentration)');
    LEGEND_STATES(:,34) = strpad('sub_X_RA in component RightAtrium (mL)');
    LEGEND_CONSTANTS(:,72) = strpad('PRinterval in component RVTiming (second)');
    LEGEND_ALGEBRAIC(:,67) = strpad('beattime in component RVTiming (ms)');
    LEGEND_CONSTANTS(:,73) = strpad('Esys in component RVElastanceFunction (elastance)');
    LEGEND_CONSTANTS(:,74) = strpad('Edia in component RVElastanceFunction (elastance)');
    LEGEND_CONSTANTS(:,75) = strpad('TsK in component RVElastanceFunction (second)');
    LEGEND_CONSTANTS(:,96) = strpad('Ts in component RVElastanceFunction (second)');
    LEGEND_ALGEBRAIC(:,68) = strpad('E_RV in component RVElastanceFunction (elastance)');
    LEGEND_ALGEBRAIC(:,74) = strpad('F_PA in component PulmonaryArtery (flow)');
    LEGEND_CONSTANTS(:,76) = strpad('P_RV_ext in component RightVentricle (mmHg)');
    LEGEND_STATES(:,35) = strpad('V_RV in component RightVentricle (mL)');
    LEGEND_CONSTANTS(:,77) = strpad('V_RV_0 in component RightVentricle (mL)');
    LEGEND_ALGEBRAIC(:,70) = strpad('P_RV in component RightVentricle (mmHg)');
    LEGEND_CONSTANTS(:,78) = strpad('R_RV in component RightVentricle (resistance)');
    LEGEND_ALGEBRAIC(:,69) = strpad('conc_X_RV in component RightVentricle (concentration)');
    LEGEND_STATES(:,36) = strpad('sub_X_RV in component RightVentricle (mL)');
    LEGEND_ALGEBRAIC(:,77) = strpad('F_Pa in component PulmonaryArteries (flow)');
    LEGEND_CONSTANTS(:,79) = strpad('R_PA in component PulmonaryArtery (resistance)');
    LEGEND_CONSTANTS(:,80) = strpad('C_PA in component PulmonaryArtery (capacitance)');
    LEGEND_CONSTANTS(:,81) = strpad('V_PA_0 in component PulmonaryArtery (mL)');
    LEGEND_STATES(:,37) = strpad('V_PA in component PulmonaryArtery (mL)');
    LEGEND_ALGEBRAIC(:,73) = strpad('P_PA in component PulmonaryArtery (mmHg)');
    LEGEND_ALGEBRAIC(:,72) = strpad('conc_X_PA in component PulmonaryArtery (concentration)');
    LEGEND_STATES(:,38) = strpad('sub_X_PA in component PulmonaryArtery (mL)');
    LEGEND_ALGEBRAIC(:,81) = strpad('F_PC in component PulmonaryCapillaries (flow)');
    LEGEND_ALGEBRAIC(:,80) = strpad('F_SH in component Shunt (flow)');
    LEGEND_STATES(:,39) = strpad('V_Pa in component PulmonaryArteries (mL)');
    LEGEND_CONSTANTS(:,82) = strpad('C_Pa in component PulmonaryArteries (capacitance)');
    LEGEND_CONSTANTS(:,83) = strpad('R_Pa in component PulmonaryArteries (resistance)');
    LEGEND_CONSTANTS(:,84) = strpad('V_Pa_0 in component PulmonaryArteries (mL)');
    LEGEND_ALGEBRAIC(:,76) = strpad('P_Pa in component PulmonaryArteries (mmHg)');
    LEGEND_ALGEBRAIC(:,75) = strpad('conc_X_Pa in component PulmonaryArteries (concentration)');
    LEGEND_STATES(:,40) = strpad('sub_X_Pa in component PulmonaryArteries (mL)');
    LEGEND_CONSTANTS(:,85) = strpad('R_SH in component Shunt (resistance)');
    LEGEND_ALGEBRAIC(:,79) = strpad('P_PC in component PulmonaryCapillaries (mmHg)');
    LEGEND_CONSTANTS(:,86) = strpad('C_PC in component PulmonaryCapillaries (capacitance)');
    LEGEND_CONSTANTS(:,87) = strpad('R_PC in component PulmonaryCapillaries (resistance)');
    LEGEND_CONSTANTS(:,88) = strpad('R_PCV in component PulmonaryCapillaries (resistance)');
    LEGEND_CONSTANTS(:,89) = strpad('V_PC_0 in component PulmonaryCapillaries (mL)');
    LEGEND_STATES(:,41) = strpad('V_PC in component PulmonaryCapillaries (mL)');
    LEGEND_ALGEBRAIC(:,85) = strpad('F_PCV in component PulmonaryCapillaries (flow)');
    LEGEND_ALGEBRAIC(:,78) = strpad('conc_X_PC in component PulmonaryCapillaries (concentration)');
    LEGEND_STATES(:,42) = strpad('sub_X_PC in component PulmonaryCapillaries (mL)');
    LEGEND_CONSTANTS(:,90) = strpad('C_PV in component PulmonaryVein (capacitance)');
    LEGEND_CONSTANTS(:,91) = strpad('V_PV_0 in component PulmonaryVein (mL)');
    LEGEND_STATES(:,43) = strpad('V_PV in component PulmonaryVein (mL)');
    LEGEND_ALGEBRAIC(:,86) = strpad('F_PV in component PulmonaryVein (flow)');
    LEGEND_STATES(:,44) = strpad('sub_X_PV in component PulmonaryVein (mL)');
    LEGEND_RATES(:,2) = strpad('d/dt sub_X_LA in component LeftAtrium (mL)');
    LEGEND_RATES(:,1) = strpad('d/dt V_LA in component LeftAtrium (mL)');
    LEGEND_RATES(:,4) = strpad('d/dt sub_X_LV in component LeftVentricle (mL)');
    LEGEND_RATES(:,3) = strpad('d/dt V_LV in component LeftVentricle (mL)');
    LEGEND_RATES(:,7) = strpad('d/dt sub_X_AO in component Aorta (mL)');
    LEGEND_RATES(:,6) = strpad('d/dt F_AOalways in component Aorta (flow)');
    LEGEND_RATES(:,5) = strpad('d/dt V_AO in component Aorta (mL)');
    LEGEND_RATES(:,9) = strpad('d/dt sub_X_CO in component CoronaryCirc (mL)');
    LEGEND_RATES(:,8) = strpad('d/dt V_CO in component CoronaryCirc (mL)');
    LEGEND_RATES(:,12) = strpad('d/dt sub_X_CRtissue in component CarotidCirc (mL)');
    LEGEND_RATES(:,11) = strpad('d/dt sub_X_CR in component CarotidCirc (mL)');
    LEGEND_RATES(:,10) = strpad('d/dt V_CR in component CarotidCirc (mL)');
    LEGEND_RATES(:,14) = strpad('d/dt sub_X_AR in component Arteries (mL)');
    LEGEND_RATES(:,13) = strpad('d/dt V_AR in component Arteries (mL)');
    LEGEND_RATES(:,16) = strpad('d/dt sub_X_AD in component Adipose (mL)');
    LEGEND_RATES(:,15) = strpad('d/dt V_AD in component Adipose (mL)');
    LEGEND_RATES(:,18) = strpad('d/dt sub_X_MU in component Muscle (mL)');
    LEGEND_RATES(:,17) = strpad('d/dt V_MU in component Muscle (mL)');
    LEGEND_RATES(:,20) = strpad('d/dt sub_X_GI in component GutIntestine (mL)');
    LEGEND_RATES(:,19) = strpad('d/dt V_GI in component GutIntestine (mL)');
    LEGEND_RATES(:,22) = strpad('d/dt sub_X_LI in component Liver (mL)');
    LEGEND_RATES(:,21) = strpad('d/dt V_LI in component Liver (mL)');
    LEGEND_RATES(:,24) = strpad('d/dt sub_X_KI in component Kidney (mL)');
    LEGEND_RATES(:,23) = strpad('d/dt V_KI in component Kidney (mL)');
    LEGEND_RATES(:,26) = strpad('d/dt sub_X_SK in component Skin (mL)');
    LEGEND_RATES(:,25) = strpad('d/dt V_SK in component Skin (mL)');
    LEGEND_RATES(:,28) = strpad('d/dt sub_X_OT in component OtherTissue (mL)');
    LEGEND_RATES(:,27) = strpad('d/dt V_OT in component OtherTissue (mL)');
    LEGEND_RATES(:,30) = strpad('d/dt sub_X_VE in component Veins (mL)');
    LEGEND_RATES(:,29) = strpad('d/dt V_VE in component Veins (mL)');
    LEGEND_RATES(:,32) = strpad('d/dt sub_X_VC in component VenaCava (mL)');
    LEGEND_RATES(:,31) = strpad('d/dt V_VC in component VenaCava (mL)');
    LEGEND_RATES(:,34) = strpad('d/dt sub_X_RA in component RightAtrium (mL)');
    LEGEND_RATES(:,33) = strpad('d/dt V_RA in component RightAtrium (mL)');
    LEGEND_RATES(:,36) = strpad('d/dt sub_X_RV in component RightVentricle (mL)');
    LEGEND_RATES(:,35) = strpad('d/dt V_RV in component RightVentricle (mL)');
    LEGEND_RATES(:,38) = strpad('d/dt sub_X_PA in component PulmonaryArtery (mL)');
    LEGEND_RATES(:,37) = strpad('d/dt V_PA in component PulmonaryArtery (mL)');
    LEGEND_RATES(:,40) = strpad('d/dt sub_X_Pa in component PulmonaryArteries (mL)');
    LEGEND_RATES(:,39) = strpad('d/dt V_Pa in component PulmonaryArteries (mL)');
    LEGEND_RATES(:,42) = strpad('d/dt sub_X_PC in component PulmonaryCapillaries (mL)');
    LEGEND_RATES(:,41) = strpad('d/dt V_PC in component PulmonaryCapillaries (mL)');
    LEGEND_RATES(:,44) = strpad('d/dt sub_X_PV in component PulmonaryVein (mL)');
    LEGEND_RATES(:,43) = strpad('d/dt V_PV in component PulmonaryVein (mL)');
    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) = 77;
    CONSTANTS(:,2) = 0.145;
    CONSTANTS(:,3) = 0.131;
    CONSTANTS(:,4) = 0.2;
    CONSTANTS(:,5) = 0;
    STATES(:,1) = 144.038898121062;
    CONSTANTS(:,6) = 15;
    CONSTANTS(:,7) = 0.01;
    STATES(:,2) = 0;
    CONSTANTS(:,8) = 0.12;
    CONSTANTS(:,9) = 5.6;
    CONSTANTS(:,10) = 0.19;
    CONSTANTS(:,11) = 0.35;
    CONSTANTS(:,12) = 0;
    STATES(:,3) = 118.75315693072;
    CONSTANTS(:,13) = 30;
    CONSTANTS(:,14) = 0.001;
    STATES(:,4) = 0;
    CONSTANTS(:,15) = 1.2;
    CONSTANTS(:,16) = 5e-5;
    CONSTANTS(:,17) = 0.01;
    CONSTANTS(:,18) = 200;
    STATES(:,5) = 302.714548324312;
    STATES(:,6) = -6898.97886842467;
    STATES(:,7) = 0;
    CONSTANTS(:,19) = 1;
    CONSTANTS(:,20) = 0.2;
    CONSTANTS(:,21) = 10;
    CONSTANTS(:,22) = 0.1;
    STATES(:,8) = 11.4012164759732;
    STATES(:,9) = 0;
    CONSTANTS(:,23) = 5;
    CONSTANTS(:,24) = 0.02;
    CONSTANTS(:,25) = 10;
    CONSTANTS(:,26) = 1;
    STATES(:,10) = 27.2147903053333;
    STATES(:,11) = 0;
    CONSTANTS(:,27) = 1;
    CONSTANTS(:,28) = 1;
    STATES(:,12) = 0;
    CONSTANTS(:,29) = 1.5;
    CONSTANTS(:,30) = 0.5;
    CONSTANTS(:,31) = 370;
    STATES(:,13) = 383.557125288364;
    STATES(:,14) = 0;
    CONSTANTS(:,32) = 1.81;
    CONSTANTS(:,33) = 1;
    CONSTANTS(:,34) = 0.33;
    CONSTANTS(:,35) = 75;
    STATES(:,15) = 111.639088723426;
    STATES(:,16) = 0;
    CONSTANTS(:,36) = 1.81;
    CONSTANTS(:,37) = 1;
    CONSTANTS(:,38) = 0.33;
    CONSTANTS(:,39) = 75;
    STATES(:,17) = 111.639088723426;
    STATES(:,18) = 0;
    CONSTANTS(:,40) = 1.81;
    CONSTANTS(:,41) = 1;
    CONSTANTS(:,42) = 0.33;
    CONSTANTS(:,43) = 75;
    STATES(:,19) = 111.639088723426;
    STATES(:,20) = 0;
    CONSTANTS(:,44) = 1.81;
    CONSTANTS(:,45) = 1;
    CONSTANTS(:,46) = 0.33;
    CONSTANTS(:,47) = 75;
    STATES(:,21) = 111.639088723426;
    STATES(:,22) = 0;
    CONSTANTS(:,48) = 0;
    CONSTANTS(:,49) = 1.81;
    CONSTANTS(:,50) = 1;
    CONSTANTS(:,51) = 75;
    CONSTANTS(:,52) = 0.33;
    STATES(:,23) = 111.639088723426;
    STATES(:,24) = 0;
    CONSTANTS(:,53) = 1.81;
    CONSTANTS(:,54) = 1;
    CONSTANTS(:,55) = 0.33;
    CONSTANTS(:,56) = 75;
    STATES(:,25) = 111.639088723426;
    STATES(:,26) = 0;
    CONSTANTS(:,57) = 1.81;
    CONSTANTS(:,58) = 1;
    CONSTANTS(:,59) = 0.33;
    CONSTANTS(:,60) = 75;
    STATES(:,27) = 111.639088723426;
    STATES(:,28) = 0;
    CONSTANTS(:,61) = 0.0223;
    STATES(:,29) = 833.291684587657;
    CONSTANTS(:,62) = 13.24;
    CONSTANTS(:,63) = 596;
    STATES(:,30) = 5;
    CONSTANTS(:,64) = 0.0267;
    STATES(:,31) = 1849.93788284599;
    CONSTANTS(:,65) = 600;
    CONSTANTS(:,66) = 73.88;
    STATES(:,32) = 0;
    CONSTANTS(:,67) = 0.11;
    CONSTANTS(:,68) = 0.099;
    CONSTANTS(:,69) = 0.2;
    CONSTANTS(:,70) = 0;
    STATES(:,33) = 152.150765432928;
    CONSTANTS(:,71) = 15;
    STATES(:,34) = 0;
    CONSTANTS(:,72) = 0.12;
    CONSTANTS(:,73) = 0.67;
    CONSTANTS(:,74) = 0.104;
    CONSTANTS(:,75) = 0.35;
    CONSTANTS(:,76) = 0;
    STATES(:,35) = 154.337916417774;
    CONSTANTS(:,77) = 25;
    CONSTANTS(:,78) = 0.002;
    STATES(:,36) = 0;
    CONSTANTS(:,79) = 0.0227;
    CONSTANTS(:,80) = 2.222;
    CONSTANTS(:,81) = 50;
    STATES(:,37) = 112.059036699839;
    STATES(:,38) = 0;
    STATES(:,39) = 66.9910537203609;
    CONSTANTS(:,82) = 1.481;
    CONSTANTS(:,83) = 0.053;
    CONSTANTS(:,84) = 30;
    STATES(:,40) = 0;
    CONSTANTS(:,85) = 2;
    CONSTANTS(:,86) = 1.778;
    CONSTANTS(:,87) = 0.0379;
    CONSTANTS(:,88) = 0.0379;
    CONSTANTS(:,89) = 53;
    STATES(:,41) = 91.7784213531534;
    STATES(:,42) = 0;
    CONSTANTS(:,90) = 5;
    CONSTANTS(:,91) = 150;
    STATES(:,43) = 239.25897115602;
    STATES(:,44) = 0;
    CONSTANTS(:,92) = CONSTANTS(:,1)./0.0600000;
    CONSTANTS(:,93) =  CONSTANTS(:,4).*power((CONSTANTS(:,92)./1000.00), 1.0 ./ 2);
    CONSTANTS(:,94) =  CONSTANTS(:,11).*power((CONSTANTS(:,92)./1000.00), 1.0 ./ 2);
    CONSTANTS(:,95) =  CONSTANTS(:,69).*power((CONSTANTS(:,92)./1000.00), 1.0 ./ 2);
    CONSTANTS(:,96) =  CONSTANTS(:,75).*power((CONSTANTS(:,92)./1000.00), 1.0 ./ 2);
    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(:,5) = (VOI -  floor(VOI./CONSTANTS(:,92)).*CONSTANTS(:,92))./1000.00 - CONSTANTS(:,8);
    ALGEBRAIC(:,6) = piecewise({ALGEBRAIC(:,5).*0.00100000>=0.00000&ALGEBRAIC(:,5).*0.00100000<=CONSTANTS(:,94), CONSTANTS(:,10)+( (CONSTANTS(:,9) - CONSTANTS(:,10)).*(1.00000 - cos((  pi.*(ALGEBRAIC(:,5).*0.00100000))./CONSTANTS(:,94))))./2.00000 , ALGEBRAIC(:,5).*0.00100000< 1.50000.*CONSTANTS(:,94)&ALGEBRAIC(:,5).*0.00100000>=CONSTANTS(:,94), CONSTANTS(:,10)+( (CONSTANTS(:,9) - CONSTANTS(:,10)).*(1.00000+cos(( 2.00000.* pi.*(ALGEBRAIC(:,5).*0.00100000 - CONSTANTS(:,94)))./CONSTANTS(:,94))))./2.00000 }, CONSTANTS(:,10));
    ALGEBRAIC(:,8) =  ALGEBRAIC(:,6).*(STATES(:,3) - CONSTANTS(:,13))+CONSTANTS(:,12);
    ALGEBRAIC(:,12) =  (1.00000./CONSTANTS(:,15)).*(STATES(:,5) - CONSTANTS(:,18));
    RATES(:,6) = ( (1.00000./CONSTANTS(:,16)).*(ALGEBRAIC(:,8) - ALGEBRAIC(:,12)) -  (CONSTANTS(:,17)./CONSTANTS(:,16)).*STATES(:,6))./1000.00;
    ALGEBRAIC(:,1) = (VOI -  floor(VOI./CONSTANTS(:,92)).*CONSTANTS(:,92))./1000.00;
    ALGEBRAIC(:,2) = piecewise({ALGEBRAIC(:,1)>=0.00000&ALGEBRAIC(:,1)<=CONSTANTS(:,93), CONSTANTS(:,3)+( (CONSTANTS(:,2) - CONSTANTS(:,3)).*(1.00000 - cos((  pi.*ALGEBRAIC(:,1))./CONSTANTS(:,93))))./2.00000 , ALGEBRAIC(:,1)< 1.50000.*CONSTANTS(:,93)&ALGEBRAIC(:,1)>=CONSTANTS(:,93), CONSTANTS(:,3)+( (CONSTANTS(:,2) - CONSTANTS(:,3)).*(1.00000+cos(( 2.00000.* pi.*(ALGEBRAIC(:,1) - CONSTANTS(:,93)))./CONSTANTS(:,93))))./2.00000 }, CONSTANTS(:,3));
    ALGEBRAIC(:,4) =  ALGEBRAIC(:,2).*(STATES(:,1) - CONSTANTS(:,6))+CONSTANTS(:,5);
    ALGEBRAIC(:,10) = piecewise({ALGEBRAIC(:,4)>ALGEBRAIC(:,8), (ALGEBRAIC(:,4) - ALGEBRAIC(:,8))./CONSTANTS(:,14) }, 0.00000);
    ALGEBRAIC(:,3) = STATES(:,2)./STATES(:,1);
    ALGEBRAIC(:,13) = piecewise({ALGEBRAIC(:,8)>ALGEBRAIC(:,12), STATES(:,6) }, 0.00000);
    ALGEBRAIC(:,15) =  (1.00000./CONSTANTS(:,22)).*(STATES(:,8) - CONSTANTS(:,21));
    ALGEBRAIC(:,16) = piecewise({ALGEBRAIC(:,8)>ALGEBRAIC(:,15), (ALGEBRAIC(:,8) - ALGEBRAIC(:,15))./CONSTANTS(:,19) }, 0.00000);
    ALGEBRAIC(:,7) = STATES(:,4)./STATES(:,3);
    RATES(:,4) = ( ALGEBRAIC(:,3).*ALGEBRAIC(:,10) -  ALGEBRAIC(:,7).*(ALGEBRAIC(:,13)+ALGEBRAIC(:,16)))./1000.00;
    RATES(:,3) = ((ALGEBRAIC(:,10) - ALGEBRAIC(:,13)) - ALGEBRAIC(:,16))./1000.00;
    ALGEBRAIC(:,18) = STATES(:,11)./STATES(:,10);
    ALGEBRAIC(:,17) = STATES(:,12)./CONSTANTS(:,28);
    RATES(:,12) = ( (ALGEBRAIC(:,18) - ALGEBRAIC(:,17)).*CONSTANTS(:,27))./1000.00;
    ALGEBRAIC(:,19) =  (1.00000./CONSTANTS(:,26)).*(STATES(:,10) - CONSTANTS(:,25));
    ALGEBRAIC(:,20) = (ALGEBRAIC(:,12) - ALGEBRAIC(:,19))./CONSTANTS(:,23);
    ALGEBRAIC(:,22) =  (1.00000./CONSTANTS(:,30)).*(STATES(:,13) - CONSTANTS(:,31));
    ALGEBRAIC(:,23) = (ALGEBRAIC(:,12) - ALGEBRAIC(:,22))./CONSTANTS(:,29);
    ALGEBRAIC(:,11) = STATES(:,7)./STATES(:,5);
    RATES(:,7) = ( ALGEBRAIC(:,7).*ALGEBRAIC(:,13) -  ALGEBRAIC(:,11).*(ALGEBRAIC(:,20)+ALGEBRAIC(:,23)))./1000.00;
    RATES(:,5) = ((ALGEBRAIC(:,13) - ALGEBRAIC(:,23)) - ALGEBRAIC(:,20))./1000.00;
    ALGEBRAIC(:,31) =  (1.00000./CONSTANTS(:,40)).*(STATES(:,19) - CONSTANTS(:,43));
    ALGEBRAIC(:,32) = (ALGEBRAIC(:,22) - ALGEBRAIC(:,31))./CONSTANTS(:,41);
    ALGEBRAIC(:,21) = STATES(:,14)./STATES(:,13);
    ALGEBRAIC(:,34) =  (1.00000./CONSTANTS(:,44)).*(STATES(:,21) - CONSTANTS(:,47));
    ALGEBRAIC(:,35) = (ALGEBRAIC(:,31) - ALGEBRAIC(:,34))./CONSTANTS(:,42);
    ALGEBRAIC(:,30) = STATES(:,20)./STATES(:,19);
    RATES(:,20) = (( ALGEBRAIC(:,21).*ALGEBRAIC(:,32) -  ALGEBRAIC(:,30).*ALGEBRAIC(:,35))./1000.00).*0.00100000;
    RATES(:,19) = ((ALGEBRAIC(:,32) - ALGEBRAIC(:,35))./1000.00).*0.00100000;
    ALGEBRAIC(:,25) =  (1.00000./CONSTANTS(:,32)).*(STATES(:,15) - CONSTANTS(:,35));
    ALGEBRAIC(:,26) = (ALGEBRAIC(:,22) - ALGEBRAIC(:,25))./CONSTANTS(:,33);
    ALGEBRAIC(:,28) =  (1.00000./CONSTANTS(:,36)).*(STATES(:,17) - CONSTANTS(:,39));
    ALGEBRAIC(:,29) = (ALGEBRAIC(:,22) - ALGEBRAIC(:,28))./CONSTANTS(:,37);
    ALGEBRAIC(:,36) = (ALGEBRAIC(:,22) - ALGEBRAIC(:,34))./CONSTANTS(:,45);
    ALGEBRAIC(:,38) =  (1.00000./CONSTANTS(:,49)).*(STATES(:,23) - CONSTANTS(:,51));
    ALGEBRAIC(:,39) = (ALGEBRAIC(:,22) - ALGEBRAIC(:,38))./CONSTANTS(:,50);
    ALGEBRAIC(:,44) =  (1.00000./CONSTANTS(:,57)).*(STATES(:,27) - CONSTANTS(:,60));
    ALGEBRAIC(:,45) = (ALGEBRAIC(:,22) - ALGEBRAIC(:,44))./CONSTANTS(:,58);
    ALGEBRAIC(:,41) =  (1.00000./CONSTANTS(:,53)).*(STATES(:,25) - CONSTANTS(:,56));
    ALGEBRAIC(:,42) = (ALGEBRAIC(:,22) - ALGEBRAIC(:,41))./CONSTANTS(:,54);
    RATES(:,14) = ( ALGEBRAIC(:,11).*ALGEBRAIC(:,23) -  ALGEBRAIC(:,21).*(ALGEBRAIC(:,42)+ALGEBRAIC(:,26)+ALGEBRAIC(:,29)+ALGEBRAIC(:,32)+ALGEBRAIC(:,36)+ALGEBRAIC(:,39)+ALGEBRAIC(:,45)))./1000.00;
    RATES(:,13) = (((((((ALGEBRAIC(:,23) - ALGEBRAIC(:,26)) - ALGEBRAIC(:,29)) - ALGEBRAIC(:,32)) - ALGEBRAIC(:,36)) - ALGEBRAIC(:,39)) - ALGEBRAIC(:,45)) - ALGEBRAIC(:,42))./1000.00;
    ALGEBRAIC(:,47) =  (1.00000./CONSTANTS(:,62)).*(STATES(:,29) - CONSTANTS(:,63));
    ALGEBRAIC(:,48) = (ALGEBRAIC(:,25) - ALGEBRAIC(:,47))./CONSTANTS(:,34);
    ALGEBRAIC(:,24) = STATES(:,16)./STATES(:,15);
    RATES(:,16) = (( ALGEBRAIC(:,21).*ALGEBRAIC(:,26) -  ALGEBRAIC(:,24).*ALGEBRAIC(:,48))./1000.00).*0.00100000;
    RATES(:,15) = ((ALGEBRAIC(:,26) - ALGEBRAIC(:,48))./1000.00).*0.00100000;
    ALGEBRAIC(:,49) = (ALGEBRAIC(:,28) - ALGEBRAIC(:,47))./CONSTANTS(:,38);
    ALGEBRAIC(:,27) = STATES(:,18)./STATES(:,17);
    RATES(:,18) = (( ALGEBRAIC(:,21).*ALGEBRAIC(:,29) -  ALGEBRAIC(:,27).*ALGEBRAIC(:,49))./1000.00).*0.00100000;
    RATES(:,17) = ((ALGEBRAIC(:,29) - ALGEBRAIC(:,49))./1000.00).*0.00100000;
    ALGEBRAIC(:,50) = (ALGEBRAIC(:,34) - ALGEBRAIC(:,47))./CONSTANTS(:,46);
    ALGEBRAIC(:,33) = STATES(:,22)./STATES(:,21);
    RATES(:,22) = (((( ALGEBRAIC(:,30).*ALGEBRAIC(:,35)+ ALGEBRAIC(:,21).*ALGEBRAIC(:,36)) -  ALGEBRAIC(:,33).*ALGEBRAIC(:,50))+ ALGEBRAIC(:,33).*CONSTANTS(:,48))./1000.00).*0.00100000;
    RATES(:,21) = (((ALGEBRAIC(:,35)+ALGEBRAIC(:,36)) - ALGEBRAIC(:,50))./1000.00).*0.00100000;
    ALGEBRAIC(:,51) = (ALGEBRAIC(:,38) - ALGEBRAIC(:,47))./CONSTANTS(:,52);
    ALGEBRAIC(:,37) = STATES(:,24)./STATES(:,23);
    RATES(:,24) = (( ALGEBRAIC(:,21).*ALGEBRAIC(:,39) -  ALGEBRAIC(:,37).*ALGEBRAIC(:,51))./1000.00).*0.00100000;
    RATES(:,23) = ((ALGEBRAIC(:,39) - ALGEBRAIC(:,51))./1000.00).*0.00100000;
    ALGEBRAIC(:,52) = (ALGEBRAIC(:,41) - ALGEBRAIC(:,47))./CONSTANTS(:,55);
    ALGEBRAIC(:,40) = STATES(:,26)./STATES(:,25);
    RATES(:,26) = (( ALGEBRAIC(:,21).*ALGEBRAIC(:,42) -  ALGEBRAIC(:,40).*ALGEBRAIC(:,52))./1000.00).*0.00100000;
    RATES(:,25) = ((ALGEBRAIC(:,42) - ALGEBRAIC(:,52))./1000.00).*0.00100000;
    ALGEBRAIC(:,53) = (ALGEBRAIC(:,44) - ALGEBRAIC(:,47))./CONSTANTS(:,59);
    ALGEBRAIC(:,43) = STATES(:,28)./STATES(:,27);
    RATES(:,28) = (( ALGEBRAIC(:,21).*ALGEBRAIC(:,45) -  ALGEBRAIC(:,43).*ALGEBRAIC(:,53))./1000.00).*0.00100000;
    RATES(:,27) = ((ALGEBRAIC(:,45) - ALGEBRAIC(:,53))./1000.00).*0.00100000;
    ALGEBRAIC(:,56) =  (1.00000./CONSTANTS(:,66)).*(STATES(:,31) - CONSTANTS(:,65));
    ALGEBRAIC(:,57) = (ALGEBRAIC(:,19) - ALGEBRAIC(:,56))./CONSTANTS(:,24);
    RATES(:,11) = (( ALGEBRAIC(:,11).*ALGEBRAIC(:,20) -  ALGEBRAIC(:,18).*ALGEBRAIC(:,57)) -  (ALGEBRAIC(:,18) - ALGEBRAIC(:,17)).*CONSTANTS(:,27))./1000.00;
    RATES(:,10) = (ALGEBRAIC(:,20) - ALGEBRAIC(:,57))./1000.00;
    ALGEBRAIC(:,58) = (ALGEBRAIC(:,47) - ALGEBRAIC(:,56))./CONSTANTS(:,61);
    ALGEBRAIC(:,46) = STATES(:,30)./STATES(:,29);
    RATES(:,30) = (( ALGEBRAIC(:,40).*ALGEBRAIC(:,52)+ ALGEBRAIC(:,24).*ALGEBRAIC(:,48)+ ALGEBRAIC(:,27).*ALGEBRAIC(:,49)+ ALGEBRAIC(:,33).*ALGEBRAIC(:,50)+ ALGEBRAIC(:,37).*ALGEBRAIC(:,51)+ ALGEBRAIC(:,43).*ALGEBRAIC(:,53)) -  ALGEBRAIC(:,46).*ALGEBRAIC(:,58))./1000.00;
    ALGEBRAIC(:,54) = ALGEBRAIC(:,52)+ALGEBRAIC(:,48)+ALGEBRAIC(:,49)+ALGEBRAIC(:,50)+ALGEBRAIC(:,51)+ALGEBRAIC(:,53);
    RATES(:,29) = (ALGEBRAIC(:,54) - ALGEBRAIC(:,58))./1000.00;
    ALGEBRAIC(:,60) = (VOI -  floor(VOI./CONSTANTS(:,92)).*CONSTANTS(:,92))./1000.00;
    ALGEBRAIC(:,61) = piecewise({ALGEBRAIC(:,60).*0.00100000>=0.00000&ALGEBRAIC(:,60).*0.00100000<=CONSTANTS(:,95), CONSTANTS(:,68)+( (CONSTANTS(:,67) - CONSTANTS(:,68)).*(1.00000 - cos((  pi.*(ALGEBRAIC(:,60).*0.00100000))./CONSTANTS(:,95))))./2.00000 , ALGEBRAIC(:,60).*0.00100000< 1.50000.*CONSTANTS(:,95)&ALGEBRAIC(:,60).*0.00100000>=CONSTANTS(:,95), CONSTANTS(:,68)+( (CONSTANTS(:,67) - CONSTANTS(:,68)).*(1.00000+cos(( 2.00000.* pi.*(ALGEBRAIC(:,60).*0.00100000 - CONSTANTS(:,95)))./CONSTANTS(:,95))))./2.00000 }, CONSTANTS(:,68));
    ALGEBRAIC(:,63) =  ALGEBRAIC(:,61).*(STATES(:,33) - CONSTANTS(:,71))+CONSTANTS(:,70);
    ALGEBRAIC(:,64) = (ALGEBRAIC(:,15) - ALGEBRAIC(:,63))./CONSTANTS(:,20);
    ALGEBRAIC(:,14) = STATES(:,9)./STATES(:,8);
    RATES(:,9) = ( ALGEBRAIC(:,7).*ALGEBRAIC(:,16) -  ALGEBRAIC(:,14).*ALGEBRAIC(:,64))./1000.00;
    RATES(:,8) = (ALGEBRAIC(:,16) - ALGEBRAIC(:,64))./1000.00;
    ALGEBRAIC(:,65) = (ALGEBRAIC(:,56) - ALGEBRAIC(:,63))./CONSTANTS(:,64);
    ALGEBRAIC(:,55) = STATES(:,32)./STATES(:,31);
    RATES(:,32) = (( ALGEBRAIC(:,46).*ALGEBRAIC(:,58)+ ALGEBRAIC(:,18).*ALGEBRAIC(:,57)) -  ALGEBRAIC(:,55).*ALGEBRAIC(:,65))./1000.00;
    ALGEBRAIC(:,59) = ALGEBRAIC(:,57)+ALGEBRAIC(:,58);
    RATES(:,31) = (ALGEBRAIC(:,59) - ALGEBRAIC(:,65))./1000.00;
    ALGEBRAIC(:,67) = (VOI -  floor(VOI./CONSTANTS(:,92)).*CONSTANTS(:,92))./1000.00 - CONSTANTS(:,72);
    ALGEBRAIC(:,68) = piecewise({ALGEBRAIC(:,67).*0.00100000>=0.00000&ALGEBRAIC(:,67).*0.00100000<=CONSTANTS(:,96), CONSTANTS(:,74)+( (CONSTANTS(:,73) - CONSTANTS(:,74)).*(1.00000 - cos((  pi.*(ALGEBRAIC(:,67).*0.00100000))./CONSTANTS(:,96))))./2.00000 , ALGEBRAIC(:,67).*0.00100000< 1.50000.*CONSTANTS(:,96)&ALGEBRAIC(:,67).*0.00100000>=CONSTANTS(:,96), CONSTANTS(:,74)+( (CONSTANTS(:,73) - CONSTANTS(:,74)).*(1.00000+cos(( 2.00000.* pi.*(ALGEBRAIC(:,67).*0.00100000 - CONSTANTS(:,96)))./CONSTANTS(:,96))))./2.00000 }, CONSTANTS(:,74));
    ALGEBRAIC(:,70) =  ALGEBRAIC(:,68).*(STATES(:,35) - CONSTANTS(:,77))+CONSTANTS(:,76);
    ALGEBRAIC(:,71) = piecewise({ALGEBRAIC(:,63)>ALGEBRAIC(:,70), (ALGEBRAIC(:,63) - ALGEBRAIC(:,70))./CONSTANTS(:,78) }, 0.00000);
    ALGEBRAIC(:,62) = STATES(:,34)./STATES(:,33);
    RATES(:,34) = (( ALGEBRAIC(:,55).*ALGEBRAIC(:,65)+ ALGEBRAIC(:,14).*ALGEBRAIC(:,64)) -  ALGEBRAIC(:,62).*ALGEBRAIC(:,71))./1000.00;
    ALGEBRAIC(:,66) = ALGEBRAIC(:,65)+ALGEBRAIC(:,64);
    RATES(:,33) = (ALGEBRAIC(:,66) - ALGEBRAIC(:,71))./1000.00;
    ALGEBRAIC(:,73) =  (1.00000./CONSTANTS(:,80)).*(STATES(:,37) - CONSTANTS(:,81));
    ALGEBRAIC(:,74) = piecewise({ALGEBRAIC(:,70)>ALGEBRAIC(:,73), (ALGEBRAIC(:,70) - ALGEBRAIC(:,73))./CONSTANTS(:,79) }, 0.00000);
    ALGEBRAIC(:,69) = STATES(:,36)./STATES(:,35);
    RATES(:,36) = ( ALGEBRAIC(:,62).*ALGEBRAIC(:,71) -  ALGEBRAIC(:,69).*ALGEBRAIC(:,74))./1000.00;
    RATES(:,35) = (ALGEBRAIC(:,71) - ALGEBRAIC(:,74))./1000.00;
    ALGEBRAIC(:,76) =  (1.00000./CONSTANTS(:,82)).*(STATES(:,39) - CONSTANTS(:,84));
    ALGEBRAIC(:,77) = (ALGEBRAIC(:,73) - ALGEBRAIC(:,76))./CONSTANTS(:,83);
    ALGEBRAIC(:,72) = STATES(:,38)./STATES(:,37);
    RATES(:,38) = ( ALGEBRAIC(:,69).*ALGEBRAIC(:,74) -  ALGEBRAIC(:,72).*ALGEBRAIC(:,77))./1000.00;
    RATES(:,37) = (ALGEBRAIC(:,74) - ALGEBRAIC(:,77))./1000.00;
    ALGEBRAIC(:,79) =  (1.00000./CONSTANTS(:,86)).*(STATES(:,41) - CONSTANTS(:,89));
    ALGEBRAIC(:,81) = (ALGEBRAIC(:,76) - ALGEBRAIC(:,79))./CONSTANTS(:,87);
    ALGEBRAIC(:,80) = (ALGEBRAIC(:,76) - ALGEBRAIC(:,79))./CONSTANTS(:,85);
    ALGEBRAIC(:,75) = STATES(:,40)./STATES(:,39);
    RATES(:,40) = ( ALGEBRAIC(:,72).*ALGEBRAIC(:,77) -  ALGEBRAIC(:,75).*(ALGEBRAIC(:,81)+ALGEBRAIC(:,80)))./1000.00;
    RATES(:,39) = ((ALGEBRAIC(:,77) - ALGEBRAIC(:,81)) - ALGEBRAIC(:,80))./1000.00;
    ALGEBRAIC(:,83) =  (1.00000./CONSTANTS(:,90)).*(STATES(:,43) - CONSTANTS(:,91));
    ALGEBRAIC(:,84) = (ALGEBRAIC(:,83) - ALGEBRAIC(:,4))./CONSTANTS(:,7);
    ALGEBRAIC(:,82) = STATES(:,44)./STATES(:,43);
    RATES(:,2) = ( ALGEBRAIC(:,82).*ALGEBRAIC(:,84) -  ALGEBRAIC(:,3).*ALGEBRAIC(:,10))./1000.00;
    RATES(:,1) = (ALGEBRAIC(:,84) - ALGEBRAIC(:,10))./1000.00;
    ALGEBRAIC(:,85) = (ALGEBRAIC(:,79) - ALGEBRAIC(:,83))./CONSTANTS(:,88);
    ALGEBRAIC(:,78) = STATES(:,42)./STATES(:,41);
    RATES(:,42) = ( ALGEBRAIC(:,75).*ALGEBRAIC(:,81) -  ALGEBRAIC(:,78).*ALGEBRAIC(:,85))./1000.00;
    RATES(:,41) = (ALGEBRAIC(:,81) - ALGEBRAIC(:,85))./1000.00;
    RATES(:,44) = (( ALGEBRAIC(:,78).*ALGEBRAIC(:,85)+ ALGEBRAIC(:,75).*ALGEBRAIC(:,80)) -  ALGEBRAIC(:,82).*ALGEBRAIC(:,84))./1000.00;
    ALGEBRAIC(:,86) = ALGEBRAIC(:,85)+ALGEBRAIC(:,80);
    RATES(:,43) = (ALGEBRAIC(:,86) - ALGEBRAIC(:,84))./1000.00;
   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(:,5) = (VOI -  floor(VOI./CONSTANTS(:,92)).*CONSTANTS(:,92))./1000.00 - CONSTANTS(:,8);
    ALGEBRAIC(:,6) = piecewise({ALGEBRAIC(:,5).*0.00100000>=0.00000&ALGEBRAIC(:,5).*0.00100000<=CONSTANTS(:,94), CONSTANTS(:,10)+( (CONSTANTS(:,9) - CONSTANTS(:,10)).*(1.00000 - cos((  pi.*(ALGEBRAIC(:,5).*0.00100000))./CONSTANTS(:,94))))./2.00000 , ALGEBRAIC(:,5).*0.00100000< 1.50000.*CONSTANTS(:,94)&ALGEBRAIC(:,5).*0.00100000>=CONSTANTS(:,94), CONSTANTS(:,10)+( (CONSTANTS(:,9) - CONSTANTS(:,10)).*(1.00000+cos(( 2.00000.* pi.*(ALGEBRAIC(:,5).*0.00100000 - CONSTANTS(:,94)))./CONSTANTS(:,94))))./2.00000 }, CONSTANTS(:,10));
    ALGEBRAIC(:,8) =  ALGEBRAIC(:,6).*(STATES(:,3) - CONSTANTS(:,13))+CONSTANTS(:,12);
    ALGEBRAIC(:,12) =  (1.00000./CONSTANTS(:,15)).*(STATES(:,5) - CONSTANTS(:,18));
    ALGEBRAIC(:,1) = (VOI -  floor(VOI./CONSTANTS(:,92)).*CONSTANTS(:,92))./1000.00;
    ALGEBRAIC(:,2) = piecewise({ALGEBRAIC(:,1)>=0.00000&ALGEBRAIC(:,1)<=CONSTANTS(:,93), CONSTANTS(:,3)+( (CONSTANTS(:,2) - CONSTANTS(:,3)).*(1.00000 - cos((  pi.*ALGEBRAIC(:,1))./CONSTANTS(:,93))))./2.00000 , ALGEBRAIC(:,1)< 1.50000.*CONSTANTS(:,93)&ALGEBRAIC(:,1)>=CONSTANTS(:,93), CONSTANTS(:,3)+( (CONSTANTS(:,2) - CONSTANTS(:,3)).*(1.00000+cos(( 2.00000.* pi.*(ALGEBRAIC(:,1) - CONSTANTS(:,93)))./CONSTANTS(:,93))))./2.00000 }, CONSTANTS(:,3));
    ALGEBRAIC(:,4) =  ALGEBRAIC(:,2).*(STATES(:,1) - CONSTANTS(:,6))+CONSTANTS(:,5);
    ALGEBRAIC(:,10) = piecewise({ALGEBRAIC(:,4)>ALGEBRAIC(:,8), (ALGEBRAIC(:,4) - ALGEBRAIC(:,8))./CONSTANTS(:,14) }, 0.00000);
    ALGEBRAIC(:,3) = STATES(:,2)./STATES(:,1);
    ALGEBRAIC(:,13) = piecewise({ALGEBRAIC(:,8)>ALGEBRAIC(:,12), STATES(:,6) }, 0.00000);
    ALGEBRAIC(:,15) =  (1.00000./CONSTANTS(:,22)).*(STATES(:,8) - CONSTANTS(:,21));
    ALGEBRAIC(:,16) = piecewise({ALGEBRAIC(:,8)>ALGEBRAIC(:,15), (ALGEBRAIC(:,8) - ALGEBRAIC(:,15))./CONSTANTS(:,19) }, 0.00000);
    ALGEBRAIC(:,7) = STATES(:,4)./STATES(:,3);
    ALGEBRAIC(:,18) = STATES(:,11)./STATES(:,10);
    ALGEBRAIC(:,17) = STATES(:,12)./CONSTANTS(:,28);
    ALGEBRAIC(:,19) =  (1.00000./CONSTANTS(:,26)).*(STATES(:,10) - CONSTANTS(:,25));
    ALGEBRAIC(:,20) = (ALGEBRAIC(:,12) - ALGEBRAIC(:,19))./CONSTANTS(:,23);
    ALGEBRAIC(:,22) =  (1.00000./CONSTANTS(:,30)).*(STATES(:,13) - CONSTANTS(:,31));
    ALGEBRAIC(:,23) = (ALGEBRAIC(:,12) - ALGEBRAIC(:,22))./CONSTANTS(:,29);
    ALGEBRAIC(:,11) = STATES(:,7)./STATES(:,5);
    ALGEBRAIC(:,31) =  (1.00000./CONSTANTS(:,40)).*(STATES(:,19) - CONSTANTS(:,43));
    ALGEBRAIC(:,32) = (ALGEBRAIC(:,22) - ALGEBRAIC(:,31))./CONSTANTS(:,41);
    ALGEBRAIC(:,21) = STATES(:,14)./STATES(:,13);
    ALGEBRAIC(:,34) =  (1.00000./CONSTANTS(:,44)).*(STATES(:,21) - CONSTANTS(:,47));
    ALGEBRAIC(:,35) = (ALGEBRAIC(:,31) - ALGEBRAIC(:,34))./CONSTANTS(:,42);
    ALGEBRAIC(:,30) = STATES(:,20)./STATES(:,19);
    ALGEBRAIC(:,25) =  (1.00000./CONSTANTS(:,32)).*(STATES(:,15) - CONSTANTS(:,35));
    ALGEBRAIC(:,26) = (ALGEBRAIC(:,22) - ALGEBRAIC(:,25))./CONSTANTS(:,33);
    ALGEBRAIC(:,28) =  (1.00000./CONSTANTS(:,36)).*(STATES(:,17) - CONSTANTS(:,39));
    ALGEBRAIC(:,29) = (ALGEBRAIC(:,22) - ALGEBRAIC(:,28))./CONSTANTS(:,37);
    ALGEBRAIC(:,36) = (ALGEBRAIC(:,22) - ALGEBRAIC(:,34))./CONSTANTS(:,45);
    ALGEBRAIC(:,38) =  (1.00000./CONSTANTS(:,49)).*(STATES(:,23) - CONSTANTS(:,51));
    ALGEBRAIC(:,39) = (ALGEBRAIC(:,22) - ALGEBRAIC(:,38))./CONSTANTS(:,50);
    ALGEBRAIC(:,44) =  (1.00000./CONSTANTS(:,57)).*(STATES(:,27) - CONSTANTS(:,60));
    ALGEBRAIC(:,45) = (ALGEBRAIC(:,22) - ALGEBRAIC(:,44))./CONSTANTS(:,58);
    ALGEBRAIC(:,41) =  (1.00000./CONSTANTS(:,53)).*(STATES(:,25) - CONSTANTS(:,56));
    ALGEBRAIC(:,42) = (ALGEBRAIC(:,22) - ALGEBRAIC(:,41))./CONSTANTS(:,54);
    ALGEBRAIC(:,47) =  (1.00000./CONSTANTS(:,62)).*(STATES(:,29) - CONSTANTS(:,63));
    ALGEBRAIC(:,48) = (ALGEBRAIC(:,25) - ALGEBRAIC(:,47))./CONSTANTS(:,34);
    ALGEBRAIC(:,24) = STATES(:,16)./STATES(:,15);
    ALGEBRAIC(:,49) = (ALGEBRAIC(:,28) - ALGEBRAIC(:,47))./CONSTANTS(:,38);
    ALGEBRAIC(:,27) = STATES(:,18)./STATES(:,17);
    ALGEBRAIC(:,50) = (ALGEBRAIC(:,34) - ALGEBRAIC(:,47))./CONSTANTS(:,46);
    ALGEBRAIC(:,33) = STATES(:,22)./STATES(:,21);
    ALGEBRAIC(:,51) = (ALGEBRAIC(:,38) - ALGEBRAIC(:,47))./CONSTANTS(:,52);
    ALGEBRAIC(:,37) = STATES(:,24)./STATES(:,23);
    ALGEBRAIC(:,52) = (ALGEBRAIC(:,41) - ALGEBRAIC(:,47))./CONSTANTS(:,55);
    ALGEBRAIC(:,40) = STATES(:,26)./STATES(:,25);
    ALGEBRAIC(:,53) = (ALGEBRAIC(:,44) - ALGEBRAIC(:,47))./CONSTANTS(:,59);
    ALGEBRAIC(:,43) = STATES(:,28)./STATES(:,27);
    ALGEBRAIC(:,56) =  (1.00000./CONSTANTS(:,66)).*(STATES(:,31) - CONSTANTS(:,65));
    ALGEBRAIC(:,57) = (ALGEBRAIC(:,19) - ALGEBRAIC(:,56))./CONSTANTS(:,24);
    ALGEBRAIC(:,58) = (ALGEBRAIC(:,47) - ALGEBRAIC(:,56))./CONSTANTS(:,61);
    ALGEBRAIC(:,46) = STATES(:,30)./STATES(:,29);
    ALGEBRAIC(:,54) = ALGEBRAIC(:,52)+ALGEBRAIC(:,48)+ALGEBRAIC(:,49)+ALGEBRAIC(:,50)+ALGEBRAIC(:,51)+ALGEBRAIC(:,53);
    ALGEBRAIC(:,60) = (VOI -  floor(VOI./CONSTANTS(:,92)).*CONSTANTS(:,92))./1000.00;
    ALGEBRAIC(:,61) = piecewise({ALGEBRAIC(:,60).*0.00100000>=0.00000&ALGEBRAIC(:,60).*0.00100000<=CONSTANTS(:,95), CONSTANTS(:,68)+( (CONSTANTS(:,67) - CONSTANTS(:,68)).*(1.00000 - cos((  pi.*(ALGEBRAIC(:,60).*0.00100000))./CONSTANTS(:,95))))./2.00000 , ALGEBRAIC(:,60).*0.00100000< 1.50000.*CONSTANTS(:,95)&ALGEBRAIC(:,60).*0.00100000>=CONSTANTS(:,95), CONSTANTS(:,68)+( (CONSTANTS(:,67) - CONSTANTS(:,68)).*(1.00000+cos(( 2.00000.* pi.*(ALGEBRAIC(:,60).*0.00100000 - CONSTANTS(:,95)))./CONSTANTS(:,95))))./2.00000 }, CONSTANTS(:,68));
    ALGEBRAIC(:,63) =  ALGEBRAIC(:,61).*(STATES(:,33) - CONSTANTS(:,71))+CONSTANTS(:,70);
    ALGEBRAIC(:,64) = (ALGEBRAIC(:,15) - ALGEBRAIC(:,63))./CONSTANTS(:,20);
    ALGEBRAIC(:,14) = STATES(:,9)./STATES(:,8);
    ALGEBRAIC(:,65) = (ALGEBRAIC(:,56) - ALGEBRAIC(:,63))./CONSTANTS(:,64);
    ALGEBRAIC(:,55) = STATES(:,32)./STATES(:,31);
    ALGEBRAIC(:,59) = ALGEBRAIC(:,57)+ALGEBRAIC(:,58);
    ALGEBRAIC(:,67) = (VOI -  floor(VOI./CONSTANTS(:,92)).*CONSTANTS(:,92))./1000.00 - CONSTANTS(:,72);
    ALGEBRAIC(:,68) = piecewise({ALGEBRAIC(:,67).*0.00100000>=0.00000&ALGEBRAIC(:,67).*0.00100000<=CONSTANTS(:,96), CONSTANTS(:,74)+( (CONSTANTS(:,73) - CONSTANTS(:,74)).*(1.00000 - cos((  pi.*(ALGEBRAIC(:,67).*0.00100000))./CONSTANTS(:,96))))./2.00000 , ALGEBRAIC(:,67).*0.00100000< 1.50000.*CONSTANTS(:,96)&ALGEBRAIC(:,67).*0.00100000>=CONSTANTS(:,96), CONSTANTS(:,74)+( (CONSTANTS(:,73) - CONSTANTS(:,74)).*(1.00000+cos(( 2.00000.* pi.*(ALGEBRAIC(:,67).*0.00100000 - CONSTANTS(:,96)))./CONSTANTS(:,96))))./2.00000 }, CONSTANTS(:,74));
    ALGEBRAIC(:,70) =  ALGEBRAIC(:,68).*(STATES(:,35) - CONSTANTS(:,77))+CONSTANTS(:,76);
    ALGEBRAIC(:,71) = piecewise({ALGEBRAIC(:,63)>ALGEBRAIC(:,70), (ALGEBRAIC(:,63) - ALGEBRAIC(:,70))./CONSTANTS(:,78) }, 0.00000);
    ALGEBRAIC(:,62) = STATES(:,34)./STATES(:,33);
    ALGEBRAIC(:,66) = ALGEBRAIC(:,65)+ALGEBRAIC(:,64);
    ALGEBRAIC(:,73) =  (1.00000./CONSTANTS(:,80)).*(STATES(:,37) - CONSTANTS(:,81));
    ALGEBRAIC(:,74) = piecewise({ALGEBRAIC(:,70)>ALGEBRAIC(:,73), (ALGEBRAIC(:,70) - ALGEBRAIC(:,73))./CONSTANTS(:,79) }, 0.00000);
    ALGEBRAIC(:,69) = STATES(:,36)./STATES(:,35);
    ALGEBRAIC(:,76) =  (1.00000./CONSTANTS(:,82)).*(STATES(:,39) - CONSTANTS(:,84));
    ALGEBRAIC(:,77) = (ALGEBRAIC(:,73) - ALGEBRAIC(:,76))./CONSTANTS(:,83);
    ALGEBRAIC(:,72) = STATES(:,38)./STATES(:,37);
    ALGEBRAIC(:,79) =  (1.00000./CONSTANTS(:,86)).*(STATES(:,41) - CONSTANTS(:,89));
    ALGEBRAIC(:,81) = (ALGEBRAIC(:,76) - ALGEBRAIC(:,79))./CONSTANTS(:,87);
    ALGEBRAIC(:,80) = (ALGEBRAIC(:,76) - ALGEBRAIC(:,79))./CONSTANTS(:,85);
    ALGEBRAIC(:,75) = STATES(:,40)./STATES(:,39);
    ALGEBRAIC(:,83) =  (1.00000./CONSTANTS(:,90)).*(STATES(:,43) - CONSTANTS(:,91));
    ALGEBRAIC(:,84) = (ALGEBRAIC(:,83) - ALGEBRAIC(:,4))./CONSTANTS(:,7);
    ALGEBRAIC(:,82) = STATES(:,44)./STATES(:,43);
    ALGEBRAIC(:,85) = (ALGEBRAIC(:,79) - ALGEBRAIC(:,83))./CONSTANTS(:,88);
    ALGEBRAIC(:,78) = STATES(:,42)./STATES(:,41);
    ALGEBRAIC(:,86) = ALGEBRAIC(:,85)+ALGEBRAIC(:,80);
    ALGEBRAIC(:,9) =  ALGEBRAIC(:,8).*(1.00000+( 3.00000.*STATES(:,3))./200.000);
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