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 =98;
end
% There are a total of 30 entries in each of the rate and state variable arrays.
% There are a total of 108 entries in the constant variable array.
%

function [VOI, STATES, ALGEBRAIC, CONSTANTS] = solveModel()
    % Create ALGEBRAIC of correct size
    global algebraicVariableCount;  algebraicVariableCount = getAlgebraicVariableCount();
    % Initialise constants and state variables
    [INIT_STATES, CONSTANTS] = initConsts;

    % Set timespan to solve over 
    tspan = [0, 10];

    % Set numerical accuracy options for ODE solver
    options = odeset('RelTol', 1e-06, 'AbsTol', 1e-06, 'MaxStep', 1);

    % Solve model with ODE solver
    [VOI, STATES] = ode15s(@(VOI, STATES)computeRates(VOI, STATES, CONSTANTS), tspan, INIT_STATES, options);

    % Compute algebraic variables
    [RATES, ALGEBRAIC] = computeRates(VOI, STATES, CONSTANTS);
    ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, VOI);

    % Plot state variables against variable of integration
    [LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends();
    figure();
    plot(VOI, STATES);
    xlabel(LEGEND_VOI);
    l = legend(LEGEND_STATES);
    set(l,'Interpreter','none');
end

function [LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends()
    LEGEND_STATES = ''; LEGEND_ALGEBRAIC = ''; LEGEND_VOI = ''; LEGEND_CONSTANTS = '';
    LEGEND_VOI = strpad('t in component lpc (s)');
    LEGEND_CONSTANTS(:,1) = strpad('Vlvrd in component lpc (mL)');
    LEGEND_CONSTANTS(:,2) = strpad('Vlvrs in component lpc (mL)');
    LEGEND_CONSTANTS(:,3) = strpad('Vrvrd in component lpc (mL)');
    LEGEND_CONSTANTS(:,4) = strpad('Vrvrs in component lpc (mL)');
    LEGEND_CONSTANTS(:,5) = strpad('Vlard in component lpc (mL)');
    LEGEND_CONSTANTS(:,6) = strpad('Vlars in component lpc (mL)');
    LEGEND_CONSTANTS(:,7) = strpad('Vrard in component lpc (mL)');
    LEGEND_CONSTANTS(:,8) = strpad('Vrars in component lpc (mL)');
    LEGEND_CONSTANTS(:,9) = strpad('Rra in component lpc (resistance)');
    LEGEND_CONSTANTS(:,10) = strpad('Rla in component lpc (resistance)');
    LEGEND_CONSTANTS(:,11) = strpad('PRint in component lpc (s)');
    LEGEND_CONSTANTS(:,12) = strpad('Emaxlv in component lpc (elastance)');
    LEGEND_CONSTANTS(:,13) = strpad('Eminlv in component lpc (elastance)');
    LEGEND_CONSTANTS(:,14) = strpad('Emaxrv in component lpc (elastance)');
    LEGEND_CONSTANTS(:,15) = strpad('Eminrv in component lpc (elastance)');
    LEGEND_CONSTANTS(:,16) = strpad('Emaxra in component lpc (elastance)');
    LEGEND_CONSTANTS(:,17) = strpad('Eminra in component lpc (elastance)');
    LEGEND_CONSTANTS(:,18) = strpad('Emaxla in component lpc (elastance)');
    LEGEND_CONSTANTS(:,19) = strpad('Eminla in component lpc (elastance)');
    LEGEND_CONSTANTS(:,20) = strpad('Pbs in component lpc (mmHg)');
    LEGEND_CONSTANTS(:,21) = strpad('Vmyo in component lpc (mL)');
    LEGEND_CONSTANTS(:,22) = strpad('TsvK in component lpc (s)');
    LEGEND_CONSTANTS(:,23) = strpad('TsaK in component lpc (s)');
    LEGEND_CONSTANTS(:,24) = strpad('HR in component lpc (ratepm)');
    LEGEND_ALGEBRAIC(:,18) = strpad('Elv in component lpc (elastance)');
    LEGEND_ALGEBRAIC(:,16) = strpad('Erv in component lpc (elastance)');
    LEGEND_ALGEBRAIC(:,15) = strpad('Era in component lpc (elastance)');
    LEGEND_ALGEBRAIC(:,17) = strpad('Ela in component lpc (elastance)');
    LEGEND_ALGEBRAIC(:,59) = strpad('Vlvr in component lpc (mL)');
    LEGEND_ALGEBRAIC(:,82) = strpad('Vrvr in component lpc (mL)');
    LEGEND_ALGEBRAIC(:,56) = strpad('Vlar in component lpc (mL)');
    LEGEND_ALGEBRAIC(:,71) = strpad('Vrar in component lpc (mL)');
    LEGEND_ALGEBRAIC(:,89) = strpad('Fra in component lpc (flow)');
    LEGEND_ALGEBRAIC(:,95) = strpad('Frv in component lpc (flow)');
    LEGEND_ALGEBRAIC(:,81) = strpad('Fla in component lpc (flow)');
    LEGEND_ALGEBRAIC(:,84) = strpad('Flv in component lpc (flow)');
    LEGEND_ALGEBRAIC(:,73) = strpad('Pra in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,75) = strpad('Prac in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,85) = strpad('Prv in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,87) = strpad('Prvc in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,58) = strpad('Pla in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,76) = strpad('Plac in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,60) = strpad('Plv in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,80) = strpad('Plvc in component lpc (mmHg)');
    LEGEND_STATES(:,1) = strpad('Vra in component lpc (mL)');
    LEGEND_STATES(:,2) = strpad('Vrv in component lpc (mL)');
    LEGEND_STATES(:,3) = strpad('Vla in component lpc (mL)');
    LEGEND_STATES(:,4) = strpad('Vlv in component lpc (mL)');
    LEGEND_CONSTANTS(:,25) = strpad('COutput in component lpc (flow)');
    LEGEND_CONSTANTS(:,104) = strpad('SV in component lpc (mL)');
    LEGEND_ALGEBRAIC(:,7) = strpad('P_QRSwave in component lpc (mV)');
    LEGEND_CONSTANTS(:,106) = strpad('Tsv in component lpc (s)');
    LEGEND_CONSTANTS(:,108) = strpad('Tsa in component lpc (s)');
    LEGEND_ALGEBRAIC(:,10) = strpad('trela in component lpc (s)');
    LEGEND_ALGEBRAIC(:,8) = strpad('trelv in component lpc (s)');
    LEGEND_CONSTANTS(:,26) = strpad('Rav in component lpc (resistance)');
    LEGEND_CONSTANTS(:,27) = strpad('Raop in component lpc (resistance)');
    LEGEND_CONSTANTS(:,28) = strpad('Rcrb in component lpc (resistance)');
    LEGEND_CONSTANTS(:,29) = strpad('Raod in component lpc (resistance)');
    LEGEND_CONSTANTS(:,30) = strpad('Rtaop in component lpc (resistance)');
    LEGEND_CONSTANTS(:,31) = strpad('Rtaod in component lpc (resistance)');
    LEGEND_CONSTANTS(:,32) = strpad('Rsap in component lpc (resistance)');
    LEGEND_CONSTANTS(:,33) = strpad('Rsc in component lpc (resistance)');
    LEGEND_CONSTANTS(:,34) = strpad('Rsv in component lpc (resistance)');
    LEGEND_CONSTANTS(:,35) = strpad('Rsao in component lpc (resistance)');
    LEGEND_CONSTANTS(:,36) = strpad('Caop in component lpc (capacitance)');
    LEGEND_CONSTANTS(:,37) = strpad('Caod in component lpc (capacitance)');
    LEGEND_CONSTANTS(:,38) = strpad('Csap in component lpc (capacitance)');
    LEGEND_CONSTANTS(:,39) = strpad('Csc in component lpc (capacitance)');
    LEGEND_CONSTANTS(:,40) = strpad('Laop in component lpc (inductance)');
    LEGEND_CONSTANTS(:,41) = strpad('Laod in component lpc (inductance)');
    LEGEND_CONSTANTS(:,42) = strpad('Kc in component lpc (mmHg)');
    LEGEND_CONSTANTS(:,43) = strpad('Do in component lpc (mL)');
    LEGEND_CONSTANTS(:,44) = strpad('Vsa_o in component lpc (mL)');
    LEGEND_CONSTANTS(:,45) = strpad('Vsa_max in component lpc (mL)');
    LEGEND_CONSTANTS(:,46) = strpad('Kp1 in component lpc (mmHg)');
    LEGEND_CONSTANTS(:,47) = strpad('Kp2 in component lpc (mmHgmlm2)');
    LEGEND_CONSTANTS(:,48) = strpad('Kr in component lpc (resistance)');
    LEGEND_CONSTANTS(:,49) = strpad('tau_p in component lpc (perml)');
    LEGEND_CONSTANTS(:,50) = strpad('Kv in component lpc (mmHg)');
    LEGEND_CONSTANTS(:,51) = strpad('Vmax_sv in component lpc (mL)');
    LEGEND_CONSTANTS(:,52) = strpad('D2 in component lpc (mmHg)');
    LEGEND_CONSTANTS(:,53) = strpad('K1 in component lpc (dimensionless)');
    LEGEND_CONSTANTS(:,54) = strpad('K2 in component lpc (mmHg)');
    LEGEND_CONSTANTS(:,55) = strpad('KR in component lpc (resistance)');
    LEGEND_CONSTANTS(:,56) = strpad('Ro in component lpc (resistance)');
    LEGEND_CONSTANTS(:,57) = strpad('Vo in component lpc (mL)');
    LEGEND_CONSTANTS(:,58) = strpad('Vmax_vc in component lpc (mL)');
    LEGEND_CONSTANTS(:,59) = strpad('Vmin_vc in component lpc (mL)');
    LEGEND_CONSTANTS(:,60) = strpad('COtau in component lpc (s)');
    LEGEND_CONSTANTS(:,61) = strpad('Pplc in component lpc (mmHg)');
    LEGEND_CONSTANTS(:,62) = strpad('Px2 in component lpc (mmHg)');
    LEGEND_CONSTANTS(:,63) = strpad('Vx8 in component lpc (mL)');
    LEGEND_CONSTANTS(:,64) = strpad('Vx75 in component lpc (mL)');
    LEGEND_CONSTANTS(:,65) = strpad('Vx1 in component lpc (mL)');
    LEGEND_CONSTANTS(:,66) = strpad('Px1 in component lpc (mmHg)');
    LEGEND_CONSTANTS(:,67) = strpad('F_vaso in component lpc (dimensionless)');
    LEGEND_ALGEBRAIC(:,53) = strpad('Rvc in component lpc (resistance)');
    LEGEND_ALGEBRAIC(:,45) = strpad('Rsa in component lpc (resistance)');
    LEGEND_ALGEBRAIC(:,1) = strpad('Paop in component lpc (mmHg)');
    LEGEND_STATES(:,5) = strpad('Paopc in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,51) = strpad('Paod in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,50) = strpad('Paodc in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,37) = strpad('Psa_a in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,38) = strpad('Psa_p in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,39) = strpad('Psa in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,40) = strpad('Psap in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,42) = strpad('Psc in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,43) = strpad('Psv in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,46) = strpad('Pvc in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,48) = strpad('Pvcc in component lpc (mmHg)');
    LEGEND_STATES(:,6) = strpad('MAP in component lpc (mmHg)');
    LEGEND_STATES(:,7) = strpad('Faop in component lpc (flowLm)');
    LEGEND_STATES(:,8) = strpad('Faod in component lpc (flow)');
    LEGEND_ALGEBRAIC(:,41) = strpad('Fsap in component lpc (flow)');
    LEGEND_ALGEBRAIC(:,47) = strpad('Fsa in component lpc (flow)');
    LEGEND_ALGEBRAIC(:,44) = strpad('Fsc in component lpc (flow)');
    LEGEND_ALGEBRAIC(:,49) = strpad('Fsv in component lpc (flow)');
    LEGEND_ALGEBRAIC(:,79) = strpad('Fvc in component lpc (flow)');
    LEGEND_ALGEBRAIC(:,52) = strpad('Fcrb in component lpc (flow)');
    LEGEND_STATES(:,9) = strpad('Vaop in component lpc (mL)');
    LEGEND_STATES(:,10) = strpad('Vaod in component lpc (mL)');
    LEGEND_STATES(:,11) = strpad('Vsa in component lpc (mL)');
    LEGEND_STATES(:,12) = strpad('Vsap in component lpc (mL)');
    LEGEND_STATES(:,13) = strpad('Vsc in component lpc (mL)');
    LEGEND_STATES(:,14) = strpad('Vsv in component lpc (mL)');
    LEGEND_STATES(:,15) = strpad('Vvc in component lpc (mL)');
    LEGEND_ALGEBRAIC(:,55) = strpad('Vtot in component lpc (mL)');
    LEGEND_ALGEBRAIC(:,2) = strpad('SysArtVol in component lpc (mL)');
    LEGEND_ALGEBRAIC(:,3) = strpad('SysVenVol in component lpc (mL)');
    LEGEND_ALGEBRAIC(:,4) = strpad('PulArtVol in component lpc (mL)');
    LEGEND_ALGEBRAIC(:,5) = strpad('PulVenVol in component lpc (mL)');
    LEGEND_ALGEBRAIC(:,57) = strpad('VBcirc in component lpc (mL)');
    LEGEND_CONSTANTS(:,105) = strpad('Ppl in component lpc (mmHg)');
    LEGEND_CONSTANTS(:,68) = strpad('Rpuv in component lpc (resistance)');
    LEGEND_CONSTANTS(:,69) = strpad('Rtpap in component lpc (resistance)');
    LEGEND_CONSTANTS(:,70) = strpad('Rtpad in component lpc (resistance)');
    LEGEND_CONSTANTS(:,71) = strpad('Rpap in component lpc (resistance)');
    LEGEND_CONSTANTS(:,72) = strpad('Rpad in component lpc (resistance)');
    LEGEND_CONSTANTS(:,73) = strpad('Rps in component lpc (resistance)');
    LEGEND_CONSTANTS(:,74) = strpad('Rpa in component lpc (resistance)');
    LEGEND_CONSTANTS(:,75) = strpad('Rpc in component lpc (resistance)');
    LEGEND_CONSTANTS(:,76) = strpad('Rpv in component lpc (resistance)');
    LEGEND_CONSTANTS(:,77) = strpad('Ctpap in component lpc (capacitance)');
    LEGEND_CONSTANTS(:,78) = strpad('Ctpad in component lpc (capacitance)');
    LEGEND_CONSTANTS(:,79) = strpad('Cpa in component lpc (capacitance)');
    LEGEND_CONSTANTS(:,80) = strpad('Cpc in component lpc (capacitance)');
    LEGEND_CONSTANTS(:,81) = strpad('Cpv in component lpc (capacitance)');
    LEGEND_CONSTANTS(:,82) = strpad('Lpa in component lpc (inductance)');
    LEGEND_CONSTANTS(:,83) = strpad('Lpad in component lpc (inductance)');
    LEGEND_ALGEBRAIC(:,93) = strpad('Ppapc in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,91) = strpad('Ppapc1 in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,29) = strpad('Ppapc2 in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,96) = strpad('Ppap in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,62) = strpad('Ppad in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,61) = strpad('Ppadc in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,27) = strpad('Ppa in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,28) = strpad('Ppac in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,30) = strpad('Ppc in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,31) = strpad('Ppcc in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,33) = strpad('Ppv in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,34) = strpad('Ppvc in component lpc (mmHg)');
    LEGEND_STATES(:,16) = strpad('Vpap in component lpc (mL)');
    LEGEND_STATES(:,17) = strpad('Vpad in component lpc (mL)');
    LEGEND_STATES(:,18) = strpad('Vpa in component lpc (mL)');
    LEGEND_STATES(:,19) = strpad('Vpc in component lpc (mL)');
    LEGEND_STATES(:,20) = strpad('Vpv in component lpc (mL)');
    LEGEND_STATES(:,21) = strpad('Fpap in component lpc (flowLm)');
    LEGEND_STATES(:,22) = strpad('Fpad in component lpc (flow)');
    LEGEND_ALGEBRAIC(:,36) = strpad('Fps in component lpc (flow)');
    LEGEND_ALGEBRAIC(:,32) = strpad('Fpa in component lpc (flow)');
    LEGEND_ALGEBRAIC(:,35) = strpad('Fpc in component lpc (flow)');
    LEGEND_ALGEBRAIC(:,78) = strpad('Fpv in component lpc (flow)');
    LEGEND_CONSTANTS(:,84) = strpad('K_pcd in component lpc (mmHg)');
    LEGEND_CONSTANTS(:,85) = strpad('phi_pcd in component lpc (mL)');
    LEGEND_CONSTANTS(:,86) = strpad('Vpcd_o in component lpc (mL)');
    LEGEND_CONSTANTS(:,87) = strpad('perifl in component lpc (mL)');
    LEGEND_ALGEBRAIC(:,64) = strpad('Ppcd in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,65) = strpad('Ppcdc in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,63) = strpad('Vpcd in component lpc (mL)');
    LEGEND_CONSTANTS(:,88) = strpad('Rcorao in component lpc (resistance)');
    LEGEND_CONSTANTS(:,89) = strpad('Rcorea in component lpc (resistance)');
    LEGEND_CONSTANTS(:,90) = strpad('Rcorla in component lpc (resistance)');
    LEGEND_CONSTANTS(:,91) = strpad('Rcorsa in component lpc (resistance)');
    LEGEND_CONSTANTS(:,92) = strpad('Rcorcap in component lpc (resistance)');
    LEGEND_CONSTANTS(:,93) = strpad('Rcorsv in component lpc (resistance)');
    LEGEND_CONSTANTS(:,94) = strpad('Rcorlv in component lpc (resistance)');
    LEGEND_CONSTANTS(:,95) = strpad('Rcorev in component lpc (resistance)');
    LEGEND_CONSTANTS(:,96) = strpad('Ccorao in component lpc (capacitance)');
    LEGEND_CONSTANTS(:,97) = strpad('Ccorea in component lpc (capacitance)');
    LEGEND_CONSTANTS(:,98) = strpad('Ccorla in component lpc (capacitance)');
    LEGEND_CONSTANTS(:,99) = strpad('Ccorsa in component lpc (capacitance)');
    LEGEND_CONSTANTS(:,100) = strpad('Ccorcap in component lpc (capacitance)');
    LEGEND_CONSTANTS(:,101) = strpad('Ccorsv in component lpc (capacitance)');
    LEGEND_CONSTANTS(:,102) = strpad('Ccorlv in component lpc (capacitance)');
    LEGEND_CONSTANTS(:,103) = strpad('Ccorev in component lpc (capacitance)');
    LEGEND_ALGEBRAIC(:,83) = strpad('Pcorisfc in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,19) = strpad('Pcoraoc in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,66) = strpad('Pcoreac in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,90) = strpad('Pcorlac in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,94) = strpad('Pcorsac in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,86) = strpad('Pcorcapc in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,72) = strpad('Pcorsvc in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,69) = strpad('Pcorlvc in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,68) = strpad('Pcorevc in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,9) = strpad('Pcorao in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,21) = strpad('Pcorea in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,23) = strpad('Pcorla in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,25) = strpad('Pcorsa in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,20) = strpad('Pcorcap in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,26) = strpad('Pcorsv in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,24) = strpad('Pcorlv in component lpc (mmHg)');
    LEGEND_ALGEBRAIC(:,22) = strpad('Pcorev in component lpc (mmHg)');
    LEGEND_STATES(:,23) = strpad('Vcorao in component lpc (mL)');
    LEGEND_STATES(:,24) = strpad('Vcorea in component lpc (mL)');
    LEGEND_STATES(:,25) = strpad('Vcorla in component lpc (mL)');
    LEGEND_STATES(:,26) = strpad('Vcorsa in component lpc (mL)');
    LEGEND_STATES(:,27) = strpad('Vcorcap in component lpc (mL)');
    LEGEND_STATES(:,28) = strpad('Vcorsv in component lpc (mL)');
    LEGEND_STATES(:,29) = strpad('Vcorlv in component lpc (mL)');
    LEGEND_STATES(:,30) = strpad('Vcorev in component lpc (mL)');
    LEGEND_ALGEBRAIC(:,54) = strpad('Vcorcirc in component lpc (mL)');
    LEGEND_ALGEBRAIC(:,67) = strpad('Fcorao in component lpc (flow)');
    LEGEND_ALGEBRAIC(:,92) = strpad('Fcorea in component lpc (flow)');
    LEGEND_ALGEBRAIC(:,97) = strpad('Fcorla in component lpc (flow)');
    LEGEND_ALGEBRAIC(:,98) = strpad('Fcorsa in component lpc (flow)');
    LEGEND_ALGEBRAIC(:,88) = strpad('Fcorcap in component lpc (flow)');
    LEGEND_ALGEBRAIC(:,74) = strpad('Fcorsv in component lpc (flow)');
    LEGEND_ALGEBRAIC(:,70) = strpad('Fcorlv in component lpc (flow)');
    LEGEND_ALGEBRAIC(:,77) = strpad('Fcorev in component lpc (flow)');
    LEGEND_ALGEBRAIC(:,6) = strpad('beattime in component lpc (s)');
    LEGEND_ALGEBRAIC(:,11) = strpad('yla in component lpc (dimensionless)');
    LEGEND_ALGEBRAIC(:,12) = strpad('yra in component lpc (dimensionless)');
    LEGEND_ALGEBRAIC(:,13) = strpad('ylv in component lpc (dimensionless)');
    LEGEND_ALGEBRAIC(:,14) = strpad('yrv in component lpc (dimensionless)');
    LEGEND_CONSTANTS(:,107) = strpad('hrf in component lpc (Hz)');
    LEGEND_RATES(:,8) = strpad('d/dt Faod in component lpc (flow)');
    LEGEND_RATES(:,7) = strpad('d/dt Faop in component lpc (flowLm)');
    LEGEND_RATES(:,22) = strpad('d/dt Fpad in component lpc (flow)');
    LEGEND_RATES(:,21) = strpad('d/dt Fpap in component lpc (flowLm)');
    LEGEND_RATES(:,6) = strpad('d/dt MAP in component lpc (mmHg)');
    LEGEND_RATES(:,5) = strpad('d/dt Paopc in component lpc (mmHg)');
    LEGEND_RATES(:,9) = strpad('d/dt Vaop in component lpc (mL)');
    LEGEND_RATES(:,17) = strpad('d/dt Vpad in component lpc (mL)');
    LEGEND_RATES(:,10) = strpad('d/dt Vaod in component lpc (mL)');
    LEGEND_RATES(:,23) = strpad('d/dt Vcorao in component lpc (mL)');
    LEGEND_RATES(:,27) = strpad('d/dt Vcorcap in component lpc (mL)');
    LEGEND_RATES(:,24) = strpad('d/dt Vcorea in component lpc (mL)');
    LEGEND_RATES(:,30) = strpad('d/dt Vcorev in component lpc (mL)');
    LEGEND_RATES(:,25) = strpad('d/dt Vcorla in component lpc (mL)');
    LEGEND_RATES(:,29) = strpad('d/dt Vcorlv in component lpc (mL)');
    LEGEND_RATES(:,26) = strpad('d/dt Vcorsa in component lpc (mL)');
    LEGEND_RATES(:,28) = strpad('d/dt Vcorsv in component lpc (mL)');
    LEGEND_RATES(:,3) = strpad('d/dt Vla in component lpc (mL)');
    LEGEND_RATES(:,4) = strpad('d/dt Vlv in component lpc (mL)');
    LEGEND_RATES(:,18) = strpad('d/dt Vpa in component lpc (mL)');
    LEGEND_RATES(:,16) = strpad('d/dt Vpap in component lpc (mL)');
    LEGEND_RATES(:,19) = strpad('d/dt Vpc in component lpc (mL)');
    LEGEND_RATES(:,20) = strpad('d/dt Vpv in component lpc (mL)');
    LEGEND_RATES(:,1) = strpad('d/dt Vra in component lpc (mL)');
    LEGEND_RATES(:,2) = strpad('d/dt Vrv in component lpc (mL)');
    LEGEND_RATES(:,11) = strpad('d/dt Vsa in component lpc (mL)');
    LEGEND_RATES(:,12) = strpad('d/dt Vsap in component lpc (mL)');
    LEGEND_RATES(:,13) = strpad('d/dt Vsc in component lpc (mL)');
    LEGEND_RATES(:,14) = strpad('d/dt Vsv in component lpc (mL)');
    LEGEND_RATES(:,15) = strpad('d/dt Vvc in component lpc (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) = 72;
    CONSTANTS(:,2) = 23;
    CONSTANTS(:,3) = 103;
    CONSTANTS(:,4) = 53;
    CONSTANTS(:,5) = 10;
    CONSTANTS(:,6) = 8;
    CONSTANTS(:,7) = 10;
    CONSTANTS(:,8) = 8;
    CONSTANTS(:,9) = 0.001;
    CONSTANTS(:,10) = 0.001;
    CONSTANTS(:,11) = 0.12;
    CONSTANTS(:,12) = 5.6;
    CONSTANTS(:,13) = 0.186874659;
    CONSTANTS(:,14) = 0.67;
    CONSTANTS(:,15) = 0.1041640922;
    CONSTANTS(:,16) = 0.1091675077;
    CONSTANTS(:,17) = 0.0992431888;
    CONSTANTS(:,18) = 0.1446191772;
    CONSTANTS(:,19) = 0.1314719793;
    CONSTANTS(:,20) = 0;
    CONSTANTS(:,21) = 238;
    CONSTANTS(:,22) = 0.35;
    CONSTANTS(:,23) = 0.2;
    CONSTANTS(:,24) = 77;
    STATES(:,1) = 78.2537;
    STATES(:,2) = 167.4806;
    STATES(:,3) = 85.9126;
    STATES(:,4) = 125.360568;
    CONSTANTS(:,25) = 108.56912706;
    CONSTANTS(:,26) = 1e-4;
    CONSTANTS(:,27) = 1e-4;
    CONSTANTS(:,28) = 6.8284472205;
    CONSTANTS(:,29) = 0.025;
    CONSTANTS(:,30) = 0.2;
    CONSTANTS(:,31) = 0.3;
    CONSTANTS(:,32) = 0.025;
    CONSTANTS(:,33) = 0.1545054945;
    CONSTANTS(:,34) = 0.1381298227;
    CONSTANTS(:,35) = 0.5508058134;
    CONSTANTS(:,36) = 0.3445734208;
    CONSTANTS(:,37) = 1.4544677036;
    CONSTANTS(:,38) = 1.4843409851;
    CONSTANTS(:,39) = 7.9822364317;
    CONSTANTS(:,40) = 3.5e-4;
    CONSTANTS(:,41) = 3.5e-4;
    CONSTANTS(:,42) = 497.7852450367;
    CONSTANTS(:,43) = 50;
    CONSTANTS(:,44) = 485.7624931891;
    CONSTANTS(:,45) = 577.7106000108;
    CONSTANTS(:,46) = 0.03;
    CONSTANTS(:,47) = 0.05;
    CONSTANTS(:,48) = 0.01;
    CONSTANTS(:,49) = 0.1;
    CONSTANTS(:,50) = 21.83;
    CONSTANTS(:,51) = 3379.545;
    CONSTANTS(:,52) = -5;
    CONSTANTS(:,53) = 0.0968305478;
    CONSTANTS(:,54) = 0.4;
    CONSTANTS(:,55) = 0.001;
    CONSTANTS(:,56) = 0.025;
    CONSTANTS(:,57) = 129.6486;
    CONSTANTS(:,58) = 350.5314;
    CONSTANTS(:,59) = 50.010747;
    CONSTANTS(:,60) = 15;
    CONSTANTS(:,61) = -5.6;
    CONSTANTS(:,62) = 2;
    CONSTANTS(:,63) = 8;
    CONSTANTS(:,64) = 75;
    CONSTANTS(:,65) = 1;
    CONSTANTS(:,66) = 1;
    CONSTANTS(:,67) = 0.5;
    STATES(:,5) = 87.93968;
    STATES(:,6) = 90.6179;
    STATES(:,7) = 0.698577;
    STATES(:,8) = 23.5957;
    STATES(:,9) = 31.1705;
    STATES(:,10) = 138.4476;
    STATES(:,11) = 519.7915;
    STATES(:,12) = 129.6439;
    STATES(:,13) = 256.8555;
    STATES(:,14) = 2961.6507;
    STATES(:,15) = 232.46638962;
    CONSTANTS(:,68) = 1e-4;
    CONSTANTS(:,69) = 0.05;
    CONSTANTS(:,70) = 0.05;
    CONSTANTS(:,71) = 1e-4;
    CONSTANTS(:,72) = 0.03;
    CONSTANTS(:,73) = 4.2958026137;
    CONSTANTS(:,74) = 0.0565149137;
    CONSTANTS(:,75) = 0.0309026688;
    CONSTANTS(:,76) = 1e-4;
    CONSTANTS(:,77) = 1.5365929068;
    CONSTANTS(:,78) = 2.6893667388;
    CONSTANTS(:,79) = 3.1321449506;
    CONSTANTS(:,80) = 7.7147;
    CONSTANTS(:,81) = 27.87028922;
    CONSTANTS(:,82) = 1.801907e-4;
    CONSTANTS(:,83) = 1.932239e-4;
    STATES(:,16) = 33.1398;
    STATES(:,17) = 60.11203897;
    STATES(:,18) = 58.926;
    STATES(:,19) = 107.57022;
    STATES(:,20) = 293.0398;
    STATES(:,21) = 1.2282;
    STATES(:,22) = 57.1876;
    CONSTANTS(:,84) = 1;
    CONSTANTS(:,85) = 40;
    CONSTANTS(:,86) = 785;
    CONSTANTS(:,87) = 15;
    CONSTANTS(:,88) = 2.642367;
    CONSTANTS(:,89) = 2.642367;
    CONSTANTS(:,90) = 5.073345;
    CONSTANTS(:,91) = 5.073345;
    CONSTANTS(:,92) = 4.227788;
    CONSTANTS(:,93) = 0.4932479;
    CONSTANTS(:,94) = 0.4932479;
    CONSTANTS(:,95) = 0.4932479;
    CONSTANTS(:,96) = 0.13;
    CONSTANTS(:,97) = 0.05507;
    CONSTANTS(:,98) = 0.09129;
    CONSTANTS(:,99) = 0.15602;
    CONSTANTS(:,100) = 1.8;
    CONSTANTS(:,101) = 0.58155;
    CONSTANTS(:,102) = 0.68372;
    CONSTANTS(:,103) = 0.832299;
    STATES(:,23) = 2.76087;
    STATES(:,24) = 4.41135;
    STATES(:,25) = 4.992799;
    STATES(:,26) = 4.22047;
    STATES(:,27) = 8.55228;
    STATES(:,28) = 7.8362;
    STATES(:,29) = 8.213955;
    STATES(:,30) = 8.76758;
    CONSTANTS(:,104) =  (CONSTANTS(:,25)./CONSTANTS(:,24)).*60.0000;
    CONSTANTS(:,105) = CONSTANTS(:,61) - CONSTANTS(:,20);
    CONSTANTS(:,106) =  CONSTANTS(:,22).*power((( 1.00000.*1.00000)./CONSTANTS(:,24)), 1.0 ./ 2).*7.74597;
    CONSTANTS(:,107) = 60.0000./CONSTANTS(:,24);
    CONSTANTS(:,108) =  CONSTANTS(:,23).*power((1.00000./CONSTANTS(:,24)), 1.0 ./ 2).*7.74597;
    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(:,27) = STATES(:,18)./CONSTANTS(:,79) - ( CONSTANTS(:,62).*1.00000)./(exp(STATES(:,18)./CONSTANTS(:,63)) - 1.00000);
    ALGEBRAIC(:,28) = ALGEBRAIC(:,27)+CONSTANTS(:,61);
    ALGEBRAIC(:,30) = STATES(:,19)./CONSTANTS(:,80) - ( CONSTANTS(:,62).*1.00000)./(exp(STATES(:,19)./CONSTANTS(:,63)) - 1.00000);
    ALGEBRAIC(:,31) = ALGEBRAIC(:,30)+CONSTANTS(:,61);
    ALGEBRAIC(:,32) = (ALGEBRAIC(:,28) - ALGEBRAIC(:,31))./CONSTANTS(:,74);
    ALGEBRAIC(:,33) = STATES(:,20)./CONSTANTS(:,81) - ( CONSTANTS(:,62).*1.00000)./(exp(STATES(:,20)./CONSTANTS(:,63)) - 1.00000);
    ALGEBRAIC(:,34) = ALGEBRAIC(:,33)+CONSTANTS(:,61);
    ALGEBRAIC(:,35) = (ALGEBRAIC(:,31) - ALGEBRAIC(:,34))./CONSTANTS(:,75);
    RATES(:,19) = ALGEBRAIC(:,32) - ALGEBRAIC(:,35);
    ALGEBRAIC(:,36) = (ALGEBRAIC(:,28) - ALGEBRAIC(:,34))./CONSTANTS(:,73);
    RATES(:,18) = (STATES(:,22) - ALGEBRAIC(:,36)) - ALGEBRAIC(:,32);
    ALGEBRAIC(:,37) =  CONSTANTS(:,42).*arbitrary_log((STATES(:,11) - CONSTANTS(:,44))./CONSTANTS(:,43)+1.00000, 10);
    ALGEBRAIC(:,38) =  CONSTANTS(:,46).*exp( CONSTANTS(:,49).*(STATES(:,11) - CONSTANTS(:,44)))+ CONSTANTS(:,47).*power(STATES(:,11) - CONSTANTS(:,44), 2.00000);
    ALGEBRAIC(:,39) =  CONSTANTS(:,67).*ALGEBRAIC(:,37)+ (1.00000 - CONSTANTS(:,67)).*ALGEBRAIC(:,38);
    RATES(:,6) = (ALGEBRAIC(:,39) - STATES(:,6))./CONSTANTS(:,60);
    ALGEBRAIC(:,40) = STATES(:,12)./CONSTANTS(:,38) - ( CONSTANTS(:,62).*1.00000)./(exp(STATES(:,12)./CONSTANTS(:,63)) - 1.00000);
    ALGEBRAIC(:,41) = (ALGEBRAIC(:,40) - ALGEBRAIC(:,39))./CONSTANTS(:,32);
    RATES(:,12) = STATES(:,8) - ALGEBRAIC(:,41);
    ALGEBRAIC(:,45) = CONSTANTS(:,35)+ CONSTANTS(:,48).*exp( 4.00000.*CONSTANTS(:,67))+ CONSTANTS(:,48).*power(CONSTANTS(:,45)./STATES(:,11), 2.00000);
    ALGEBRAIC(:,42) = STATES(:,13)./CONSTANTS(:,39) - ( CONSTANTS(:,62).*1.00000)./(exp(STATES(:,13)./CONSTANTS(:,63)) - 1.00000);
    ALGEBRAIC(:,47) = (ALGEBRAIC(:,39) - ALGEBRAIC(:,42))./ALGEBRAIC(:,45);
    RATES(:,11) = ALGEBRAIC(:,41) - ALGEBRAIC(:,47);
    ALGEBRAIC(:,43) =  CONSTANTS(:,50).*arbitrary_log(CONSTANTS(:,51)./STATES(:,14) - 0.990000, 10).* - 1.00000;
    ALGEBRAIC(:,44) = (ALGEBRAIC(:,42) - ALGEBRAIC(:,43))./CONSTANTS(:,33);
    RATES(:,13) = ALGEBRAIC(:,47) - ALGEBRAIC(:,44);
    ALGEBRAIC(:,46) = piecewise({STATES(:,15)>CONSTANTS(:,57), (CONSTANTS(:,52)+ CONSTANTS(:,54).*exp(CONSTANTS(:,57)./CONSTANTS(:,59))+( CONSTANTS(:,53).*(STATES(:,15) - CONSTANTS(:,57)))./1.00000) - CONSTANTS(:,62)./(exp(STATES(:,15)./CONSTANTS(:,63)) - 1.00000) }, (CONSTANTS(:,52)+ CONSTANTS(:,54).*exp(STATES(:,15)./CONSTANTS(:,59))) - CONSTANTS(:,62)./(exp(STATES(:,15)./CONSTANTS(:,63)) - 1.00000));
    ALGEBRAIC(:,48) = ALGEBRAIC(:,46)+CONSTANTS(:,61);
    ALGEBRAIC(:,49) = (ALGEBRAIC(:,43) - ALGEBRAIC(:,48))./CONSTANTS(:,34);
    RATES(:,14) = ALGEBRAIC(:,44) - ALGEBRAIC(:,49);
    ALGEBRAIC(:,50) =  ((((( CONSTANTS(:,31).*CONSTANTS(:,28).*STATES(:,7) -  CONSTANTS(:,31).*CONSTANTS(:,28).*STATES(:,8).*0.0600000)+ (( STATES(:,10).*CONSTANTS(:,28))./CONSTANTS(:,37)).*0.0600000) -  (( CONSTANTS(:,28).*CONSTANTS(:,62))./(exp(STATES(:,10)./CONSTANTS(:,63)) - 1.00000)).*0.0600000)+ ALGEBRAIC(:,48).*CONSTANTS(:,31).*0.0600000)./(CONSTANTS(:,28)+CONSTANTS(:,31))).*16.6667;
    RATES(:,8) = ((ALGEBRAIC(:,50) -  STATES(:,8).*CONSTANTS(:,29)) - ALGEBRAIC(:,40))./CONSTANTS(:,41);
    RATES(:,7) =  (((STATES(:,5) -  STATES(:,7).*CONSTANTS(:,27).*16.6667) - ALGEBRAIC(:,50))./CONSTANTS(:,40)).*0.0600000;
    ALGEBRAIC(:,52) = (ALGEBRAIC(:,50) - ALGEBRAIC(:,48))./CONSTANTS(:,28);
    RATES(:,10) =  ((STATES(:,7) -  STATES(:,8).*0.0600000) -  ALGEBRAIC(:,52).*0.0600000).*16.6667;
    RATES(:,9) = ((STATES(:,5) - STATES(:,9)./CONSTANTS(:,36))+( CONSTANTS(:,62).*1.00000)./(exp(STATES(:,9)./CONSTANTS(:,63)) - 1.00000))./CONSTANTS(:,30);
    RATES(:,17) =  (STATES(:,21) -  STATES(:,22).*0.0600000).*16.6667;
    ALGEBRAIC(:,61) = ( RATES(:,17).*CONSTANTS(:,70)+CONSTANTS(:,61)+STATES(:,17)./CONSTANTS(:,78)) - ( CONSTANTS(:,62).*1.00000)./(exp(STATES(:,17)./CONSTANTS(:,63)) - 1.00000);
    RATES(:,22) = ((ALGEBRAIC(:,61) - ALGEBRAIC(:,28)) -  STATES(:,22).*CONSTANTS(:,72))./CONSTANTS(:,83);
    ALGEBRAIC(:,54) = STATES(:,23)+STATES(:,24)+STATES(:,25)+STATES(:,26)+STATES(:,27)+STATES(:,28)+STATES(:,29)+STATES(:,30);
    ALGEBRAIC(:,63) = STATES(:,2)+STATES(:,1)+STATES(:,4)+STATES(:,3)+CONSTANTS(:,87)+CONSTANTS(:,21)+ALGEBRAIC(:,54);
    ALGEBRAIC(:,64) =  CONSTANTS(:,84).*exp((ALGEBRAIC(:,63) - CONSTANTS(:,86))./CONSTANTS(:,85)) - ( CONSTANTS(:,62).*1.00000)./(exp(ALGEBRAIC(:,63)./CONSTANTS(:,64)) - 1.00000);
    ALGEBRAIC(:,65) = ALGEBRAIC(:,64)+CONSTANTS(:,61);
    ALGEBRAIC(:,26) = STATES(:,28)./CONSTANTS(:,101) - ( CONSTANTS(:,66).*1.00000)./(exp(STATES(:,28)./CONSTANTS(:,65)) - 1.00000);
    ALGEBRAIC(:,72) = ALGEBRAIC(:,26)+ALGEBRAIC(:,65);
    ALGEBRAIC(:,24) = STATES(:,29)./CONSTANTS(:,102) - ( CONSTANTS(:,66).*1.00000)./(exp(STATES(:,29)./CONSTANTS(:,65)) - 1.00000);
    ALGEBRAIC(:,69) = ALGEBRAIC(:,24)+ALGEBRAIC(:,65);
    ALGEBRAIC(:,74) = (ALGEBRAIC(:,72) - ALGEBRAIC(:,69))./CONSTANTS(:,93);
    ALGEBRAIC(:,22) = STATES(:,30)./CONSTANTS(:,103) - ( CONSTANTS(:,62).*1.00000)./(exp(STATES(:,30)./CONSTANTS(:,63)) - 1.00000);
    ALGEBRAIC(:,68) = ALGEBRAIC(:,22)+ALGEBRAIC(:,65);
    ALGEBRAIC(:,70) = (ALGEBRAIC(:,69) - ALGEBRAIC(:,68))./CONSTANTS(:,94);
    RATES(:,29) = ALGEBRAIC(:,74) - ALGEBRAIC(:,70);
    ALGEBRAIC(:,6) = VOI -  floor(VOI./CONSTANTS(:,107)).*CONSTANTS(:,107);
    ALGEBRAIC(:,10) = ALGEBRAIC(:,6);
    ALGEBRAIC(:,11) = piecewise({ALGEBRAIC(:,10)>=0.00000&ALGEBRAIC(:,10)<=CONSTANTS(:,108), (1.00000 - cos((  pi.*ALGEBRAIC(:,10))./CONSTANTS(:,108)))./2.00000 , ALGEBRAIC(:,10)< 1.50000.*CONSTANTS(:,108)&ALGEBRAIC(:,10)>=CONSTANTS(:,108), (1.00000+cos(( 2.00000.* pi.*(ALGEBRAIC(:,10) - CONSTANTS(:,108)))./CONSTANTS(:,108)))./2.00000 }, 0.00000);
    ALGEBRAIC(:,12) = ALGEBRAIC(:,11);
    ALGEBRAIC(:,15) =  (CONSTANTS(:,16) - CONSTANTS(:,17)).*ALGEBRAIC(:,12)+CONSTANTS(:,17);
    ALGEBRAIC(:,71) =  (1.00000 - ALGEBRAIC(:,12)).*(CONSTANTS(:,7) - CONSTANTS(:,8))+CONSTANTS(:,8);
    ALGEBRAIC(:,73) =  (STATES(:,1) - ALGEBRAIC(:,71)).*ALGEBRAIC(:,15) - ( CONSTANTS(:,62).*1.00000)./(exp(STATES(:,1)./CONSTANTS(:,63)) - 1.00000);
    ALGEBRAIC(:,75) = ALGEBRAIC(:,73)+ALGEBRAIC(:,65);
    ALGEBRAIC(:,77) = (ALGEBRAIC(:,68) - ALGEBRAIC(:,75))./CONSTANTS(:,95);
    RATES(:,30) = ALGEBRAIC(:,70) - ALGEBRAIC(:,77);
    ALGEBRAIC(:,17) =  (CONSTANTS(:,18) - CONSTANTS(:,19)).*ALGEBRAIC(:,11)+CONSTANTS(:,19);
    ALGEBRAIC(:,56) =  (1.00000 - ALGEBRAIC(:,11)).*(CONSTANTS(:,5) - CONSTANTS(:,6))+CONSTANTS(:,6);
    ALGEBRAIC(:,58) =  (STATES(:,3) - ALGEBRAIC(:,56)).*ALGEBRAIC(:,17) - ( CONSTANTS(:,62).*1.00000)./(exp(STATES(:,3)./CONSTANTS(:,63)) - 1.00000);
    ALGEBRAIC(:,76) = ALGEBRAIC(:,58)+ALGEBRAIC(:,65);
    ALGEBRAIC(:,78) = (ALGEBRAIC(:,34) - ALGEBRAIC(:,76))./CONSTANTS(:,76);
    RATES(:,20) = (ALGEBRAIC(:,35)+ALGEBRAIC(:,36)) - ALGEBRAIC(:,78);
    ALGEBRAIC(:,53) =  CONSTANTS(:,55).*power(CONSTANTS(:,58)./STATES(:,15), 2.00000)+CONSTANTS(:,56);
    ALGEBRAIC(:,79) = (ALGEBRAIC(:,48) - ALGEBRAIC(:,75))./ALGEBRAIC(:,53);
    RATES(:,15) = (ALGEBRAIC(:,49)+ALGEBRAIC(:,52)) - ALGEBRAIC(:,79);
    ALGEBRAIC(:,8) = ALGEBRAIC(:,6) - CONSTANTS(:,11);
    ALGEBRAIC(:,13) = piecewise({ALGEBRAIC(:,8)>=0.00000&ALGEBRAIC(:,8)<=CONSTANTS(:,106), (1.00000 - cos((  pi.*ALGEBRAIC(:,8))./CONSTANTS(:,106)))./2.00000 , ALGEBRAIC(:,8)< 1.50000.*CONSTANTS(:,106)&ALGEBRAIC(:,8)>=CONSTANTS(:,106), (1.00000+cos(( 2.00000.* pi.*(ALGEBRAIC(:,8) - CONSTANTS(:,106)))./CONSTANTS(:,106)))./2.00000 }, 0.00000);
    ALGEBRAIC(:,18) =  (CONSTANTS(:,12) - CONSTANTS(:,13)).*ALGEBRAIC(:,13)+CONSTANTS(:,13);
    ALGEBRAIC(:,59) =  (1.00000 - ALGEBRAIC(:,13)).*(CONSTANTS(:,1) - CONSTANTS(:,2))+CONSTANTS(:,2);
    ALGEBRAIC(:,60) =  (STATES(:,4) - ALGEBRAIC(:,59)).*ALGEBRAIC(:,18) - ( CONSTANTS(:,62).*1.00000)./(exp(STATES(:,4)./CONSTANTS(:,63)) - 1.00000);
    ALGEBRAIC(:,80) = ALGEBRAIC(:,60)+ALGEBRAIC(:,65);
    ALGEBRAIC(:,81) = piecewise({ALGEBRAIC(:,76)>ALGEBRAIC(:,80), (ALGEBRAIC(:,76) - ALGEBRAIC(:,80))./CONSTANTS(:,10) }, 0.00000);
    RATES(:,3) = ALGEBRAIC(:,78) - ALGEBRAIC(:,81);
    ALGEBRAIC(:,84) = piecewise({ALGEBRAIC(:,80)>STATES(:,5), (ALGEBRAIC(:,80) - STATES(:,5))./CONSTANTS(:,26) }, 0.00000);
    ALGEBRAIC(:,19) = STATES(:,5);
    ALGEBRAIC(:,21) = STATES(:,24)./CONSTANTS(:,97) - ( CONSTANTS(:,66).*1.00000)./(exp(STATES(:,24)./CONSTANTS(:,65)) - 1.00000);
    ALGEBRAIC(:,66) = ALGEBRAIC(:,21)+ALGEBRAIC(:,65);
    ALGEBRAIC(:,67) = (ALGEBRAIC(:,19) - ALGEBRAIC(:,66))./CONSTANTS(:,88);
    RATES(:,5) =  (((ALGEBRAIC(:,84) - RATES(:,9)) -  STATES(:,7).*16.6667) - ALGEBRAIC(:,67)).*(1.00000./CONSTANTS(:,96)+( (CONSTANTS(:,62)./1.00000).*exp(STATES(:,23)./CONSTANTS(:,65)))./power(exp(STATES(:,23)./CONSTANTS(:,65)) - 1.00000, 2.00000));
    RATES(:,23) = ((ALGEBRAIC(:,84) - RATES(:,9)) -  STATES(:,7).*16.6667) - ALGEBRAIC(:,67);
    RATES(:,4) = ALGEBRAIC(:,81) - ALGEBRAIC(:,84);
    ALGEBRAIC(:,83) = abs((ALGEBRAIC(:,80) - ALGEBRAIC(:,65))./2.00000);
    ALGEBRAIC(:,20) = STATES(:,27)./CONSTANTS(:,100) - ( CONSTANTS(:,66).*1.00000)./(exp(STATES(:,27)./CONSTANTS(:,65)) - 1.00000);
    ALGEBRAIC(:,86) = ALGEBRAIC(:,20)+ALGEBRAIC(:,83);
    ALGEBRAIC(:,88) = (ALGEBRAIC(:,86) - ALGEBRAIC(:,72))./CONSTANTS(:,92);
    RATES(:,28) = ALGEBRAIC(:,88) - ALGEBRAIC(:,74);
    ALGEBRAIC(:,14) = ALGEBRAIC(:,13);
    ALGEBRAIC(:,16) =  (CONSTANTS(:,14) - CONSTANTS(:,15)).*ALGEBRAIC(:,14)+CONSTANTS(:,15);
    ALGEBRAIC(:,82) =  (1.00000 - ALGEBRAIC(:,14)).*(CONSTANTS(:,3) - CONSTANTS(:,4))+CONSTANTS(:,4);
    ALGEBRAIC(:,85) =  (STATES(:,2) - ALGEBRAIC(:,82)).*ALGEBRAIC(:,16) - ( CONSTANTS(:,62).*1.00000)./(exp(STATES(:,2)./CONSTANTS(:,63)) - 1.00000);
    ALGEBRAIC(:,87) = ALGEBRAIC(:,85)+ALGEBRAIC(:,65);
    ALGEBRAIC(:,89) = piecewise({ALGEBRAIC(:,75)>ALGEBRAIC(:,87), (ALGEBRAIC(:,75) - ALGEBRAIC(:,87))./CONSTANTS(:,9) }, 0.00000);
    RATES(:,1) = (ALGEBRAIC(:,79) - ALGEBRAIC(:,89))+ALGEBRAIC(:,77);
    ALGEBRAIC(:,23) = STATES(:,25)./CONSTANTS(:,98) - ( CONSTANTS(:,66).*1.00000)./(exp(STATES(:,25)./CONSTANTS(:,65)) - 1.00000);
    ALGEBRAIC(:,90) = ALGEBRAIC(:,23)+ALGEBRAIC(:,83);
    ALGEBRAIC(:,92) = (ALGEBRAIC(:,66) - ALGEBRAIC(:,90))./CONSTANTS(:,89);
    RATES(:,24) = ALGEBRAIC(:,67) - ALGEBRAIC(:,92);
    ALGEBRAIC(:,91) = ((((( CONSTANTS(:,68).*STATES(:,16))./CONSTANTS(:,77) - ( CONSTANTS(:,68).*CONSTANTS(:,62).*1.00000)./(exp(STATES(:,16)./CONSTANTS(:,63)) - 1.00000))+ ALGEBRAIC(:,87).*CONSTANTS(:,69)) -  CONSTANTS(:,68).*CONSTANTS(:,69).*STATES(:,21).*16.6667)+ CONSTANTS(:,61).*CONSTANTS(:,68))./(CONSTANTS(:,69)+CONSTANTS(:,68));
    ALGEBRAIC(:,29) = ((STATES(:,16)./CONSTANTS(:,77)+CONSTANTS(:,61)) -  CONSTANTS(:,69).*STATES(:,21).*16.6667) - ( CONSTANTS(:,62).*1.00000)./(exp(STATES(:,16)./CONSTANTS(:,63)) - 1.00000);
    ALGEBRAIC(:,93) = piecewise({ALGEBRAIC(:,87)>ALGEBRAIC(:,91), ALGEBRAIC(:,91) }, ALGEBRAIC(:,29));
    RATES(:,21) =  (((ALGEBRAIC(:,93) - ALGEBRAIC(:,61)) -  STATES(:,21).*CONSTANTS(:,71).*16.6667)./CONSTANTS(:,82)).*0.0600000;
    ALGEBRAIC(:,25) = STATES(:,26)./CONSTANTS(:,99) - ( CONSTANTS(:,66).*1.00000)./(exp(STATES(:,26)./CONSTANTS(:,65)) - 1.00000);
    ALGEBRAIC(:,94) = ALGEBRAIC(:,25)+ALGEBRAIC(:,83);
    ALGEBRAIC(:,97) = (ALGEBRAIC(:,90) - ALGEBRAIC(:,94))./CONSTANTS(:,90);
    RATES(:,25) = ALGEBRAIC(:,92) - ALGEBRAIC(:,97);
    ALGEBRAIC(:,95) = piecewise({ALGEBRAIC(:,87)>ALGEBRAIC(:,93), (ALGEBRAIC(:,87) - ALGEBRAIC(:,93))./CONSTANTS(:,68) }, 0.00000);
    RATES(:,16) = ALGEBRAIC(:,95) -  STATES(:,21).*16.6667;
    RATES(:,2) = ALGEBRAIC(:,89) - ALGEBRAIC(:,95);
    ALGEBRAIC(:,98) = (ALGEBRAIC(:,94) - ALGEBRAIC(:,86))./CONSTANTS(:,91);
    RATES(:,27) = ALGEBRAIC(:,98) - ALGEBRAIC(:,88);
    RATES(:,26) = ALGEBRAIC(:,97) - ALGEBRAIC(:,98);
   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(:,27) = STATES(:,18)./CONSTANTS(:,79) - ( CONSTANTS(:,62).*1.00000)./(exp(STATES(:,18)./CONSTANTS(:,63)) - 1.00000);
    ALGEBRAIC(:,28) = ALGEBRAIC(:,27)+CONSTANTS(:,61);
    ALGEBRAIC(:,30) = STATES(:,19)./CONSTANTS(:,80) - ( CONSTANTS(:,62).*1.00000)./(exp(STATES(:,19)./CONSTANTS(:,63)) - 1.00000);
    ALGEBRAIC(:,31) = ALGEBRAIC(:,30)+CONSTANTS(:,61);
    ALGEBRAIC(:,32) = (ALGEBRAIC(:,28) - ALGEBRAIC(:,31))./CONSTANTS(:,74);
    ALGEBRAIC(:,33) = STATES(:,20)./CONSTANTS(:,81) - ( CONSTANTS(:,62).*1.00000)./(exp(STATES(:,20)./CONSTANTS(:,63)) - 1.00000);
    ALGEBRAIC(:,34) = ALGEBRAIC(:,33)+CONSTANTS(:,61);
    ALGEBRAIC(:,35) = (ALGEBRAIC(:,31) - ALGEBRAIC(:,34))./CONSTANTS(:,75);
    ALGEBRAIC(:,36) = (ALGEBRAIC(:,28) - ALGEBRAIC(:,34))./CONSTANTS(:,73);
    ALGEBRAIC(:,37) =  CONSTANTS(:,42).*arbitrary_log((STATES(:,11) - CONSTANTS(:,44))./CONSTANTS(:,43)+1.00000, 10);
    ALGEBRAIC(:,38) =  CONSTANTS(:,46).*exp( CONSTANTS(:,49).*(STATES(:,11) - CONSTANTS(:,44)))+ CONSTANTS(:,47).*power(STATES(:,11) - CONSTANTS(:,44), 2.00000);
    ALGEBRAIC(:,39) =  CONSTANTS(:,67).*ALGEBRAIC(:,37)+ (1.00000 - CONSTANTS(:,67)).*ALGEBRAIC(:,38);
    ALGEBRAIC(:,40) = STATES(:,12)./CONSTANTS(:,38) - ( CONSTANTS(:,62).*1.00000)./(exp(STATES(:,12)./CONSTANTS(:,63)) - 1.00000);
    ALGEBRAIC(:,41) = (ALGEBRAIC(:,40) - ALGEBRAIC(:,39))./CONSTANTS(:,32);
    ALGEBRAIC(:,45) = CONSTANTS(:,35)+ CONSTANTS(:,48).*exp( 4.00000.*CONSTANTS(:,67))+ CONSTANTS(:,48).*power(CONSTANTS(:,45)./STATES(:,11), 2.00000);
    ALGEBRAIC(:,42) = STATES(:,13)./CONSTANTS(:,39) - ( CONSTANTS(:,62).*1.00000)./(exp(STATES(:,13)./CONSTANTS(:,63)) - 1.00000);
    ALGEBRAIC(:,47) = (ALGEBRAIC(:,39) - ALGEBRAIC(:,42))./ALGEBRAIC(:,45);
    ALGEBRAIC(:,43) =  CONSTANTS(:,50).*arbitrary_log(CONSTANTS(:,51)./STATES(:,14) - 0.990000, 10).* - 1.00000;
    ALGEBRAIC(:,44) = (ALGEBRAIC(:,42) - ALGEBRAIC(:,43))./CONSTANTS(:,33);
    ALGEBRAIC(:,46) = piecewise({STATES(:,15)>CONSTANTS(:,57), (CONSTANTS(:,52)+ CONSTANTS(:,54).*exp(CONSTANTS(:,57)./CONSTANTS(:,59))+( CONSTANTS(:,53).*(STATES(:,15) - CONSTANTS(:,57)))./1.00000) - CONSTANTS(:,62)./(exp(STATES(:,15)./CONSTANTS(:,63)) - 1.00000) }, (CONSTANTS(:,52)+ CONSTANTS(:,54).*exp(STATES(:,15)./CONSTANTS(:,59))) - CONSTANTS(:,62)./(exp(STATES(:,15)./CONSTANTS(:,63)) - 1.00000));
    ALGEBRAIC(:,48) = ALGEBRAIC(:,46)+CONSTANTS(:,61);
    ALGEBRAIC(:,49) = (ALGEBRAIC(:,43) - ALGEBRAIC(:,48))./CONSTANTS(:,34);
    ALGEBRAIC(:,50) =  ((((( CONSTANTS(:,31).*CONSTANTS(:,28).*STATES(:,7) -  CONSTANTS(:,31).*CONSTANTS(:,28).*STATES(:,8).*0.0600000)+ (( STATES(:,10).*CONSTANTS(:,28))./CONSTANTS(:,37)).*0.0600000) -  (( CONSTANTS(:,28).*CONSTANTS(:,62))./(exp(STATES(:,10)./CONSTANTS(:,63)) - 1.00000)).*0.0600000)+ ALGEBRAIC(:,48).*CONSTANTS(:,31).*0.0600000)./(CONSTANTS(:,28)+CONSTANTS(:,31))).*16.6667;
    ALGEBRAIC(:,52) = (ALGEBRAIC(:,50) - ALGEBRAIC(:,48))./CONSTANTS(:,28);
    ALGEBRAIC(:,61) = ( RATES(:,17).*CONSTANTS(:,70)+CONSTANTS(:,61)+STATES(:,17)./CONSTANTS(:,78)) - ( CONSTANTS(:,62).*1.00000)./(exp(STATES(:,17)./CONSTANTS(:,63)) - 1.00000);
    ALGEBRAIC(:,54) = STATES(:,23)+STATES(:,24)+STATES(:,25)+STATES(:,26)+STATES(:,27)+STATES(:,28)+STATES(:,29)+STATES(:,30);
    ALGEBRAIC(:,63) = STATES(:,2)+STATES(:,1)+STATES(:,4)+STATES(:,3)+CONSTANTS(:,87)+CONSTANTS(:,21)+ALGEBRAIC(:,54);
    ALGEBRAIC(:,64) =  CONSTANTS(:,84).*exp((ALGEBRAIC(:,63) - CONSTANTS(:,86))./CONSTANTS(:,85)) - ( CONSTANTS(:,62).*1.00000)./(exp(ALGEBRAIC(:,63)./CONSTANTS(:,64)) - 1.00000);
    ALGEBRAIC(:,65) = ALGEBRAIC(:,64)+CONSTANTS(:,61);
    ALGEBRAIC(:,26) = STATES(:,28)./CONSTANTS(:,101) - ( CONSTANTS(:,66).*1.00000)./(exp(STATES(:,28)./CONSTANTS(:,65)) - 1.00000);
    ALGEBRAIC(:,72) = ALGEBRAIC(:,26)+ALGEBRAIC(:,65);
    ALGEBRAIC(:,24) = STATES(:,29)./CONSTANTS(:,102) - ( CONSTANTS(:,66).*1.00000)./(exp(STATES(:,29)./CONSTANTS(:,65)) - 1.00000);
    ALGEBRAIC(:,69) = ALGEBRAIC(:,24)+ALGEBRAIC(:,65);
    ALGEBRAIC(:,74) = (ALGEBRAIC(:,72) - ALGEBRAIC(:,69))./CONSTANTS(:,93);
    ALGEBRAIC(:,22) = STATES(:,30)./CONSTANTS(:,103) - ( CONSTANTS(:,62).*1.00000)./(exp(STATES(:,30)./CONSTANTS(:,63)) - 1.00000);
    ALGEBRAIC(:,68) = ALGEBRAIC(:,22)+ALGEBRAIC(:,65);
    ALGEBRAIC(:,70) = (ALGEBRAIC(:,69) - ALGEBRAIC(:,68))./CONSTANTS(:,94);
    ALGEBRAIC(:,6) = VOI -  floor(VOI./CONSTANTS(:,107)).*CONSTANTS(:,107);
    ALGEBRAIC(:,10) = ALGEBRAIC(:,6);
    ALGEBRAIC(:,11) = piecewise({ALGEBRAIC(:,10)>=0.00000&ALGEBRAIC(:,10)<=CONSTANTS(:,108), (1.00000 - cos((  pi.*ALGEBRAIC(:,10))./CONSTANTS(:,108)))./2.00000 , ALGEBRAIC(:,10)< 1.50000.*CONSTANTS(:,108)&ALGEBRAIC(:,10)>=CONSTANTS(:,108), (1.00000+cos(( 2.00000.* pi.*(ALGEBRAIC(:,10) - CONSTANTS(:,108)))./CONSTANTS(:,108)))./2.00000 }, 0.00000);
    ALGEBRAIC(:,12) = ALGEBRAIC(:,11);
    ALGEBRAIC(:,15) =  (CONSTANTS(:,16) - CONSTANTS(:,17)).*ALGEBRAIC(:,12)+CONSTANTS(:,17);
    ALGEBRAIC(:,71) =  (1.00000 - ALGEBRAIC(:,12)).*(CONSTANTS(:,7) - CONSTANTS(:,8))+CONSTANTS(:,8);
    ALGEBRAIC(:,73) =  (STATES(:,1) - ALGEBRAIC(:,71)).*ALGEBRAIC(:,15) - ( CONSTANTS(:,62).*1.00000)./(exp(STATES(:,1)./CONSTANTS(:,63)) - 1.00000);
    ALGEBRAIC(:,75) = ALGEBRAIC(:,73)+ALGEBRAIC(:,65);
    ALGEBRAIC(:,77) = (ALGEBRAIC(:,68) - ALGEBRAIC(:,75))./CONSTANTS(:,95);
    ALGEBRAIC(:,17) =  (CONSTANTS(:,18) - CONSTANTS(:,19)).*ALGEBRAIC(:,11)+CONSTANTS(:,19);
    ALGEBRAIC(:,56) =  (1.00000 - ALGEBRAIC(:,11)).*(CONSTANTS(:,5) - CONSTANTS(:,6))+CONSTANTS(:,6);
    ALGEBRAIC(:,58) =  (STATES(:,3) - ALGEBRAIC(:,56)).*ALGEBRAIC(:,17) - ( CONSTANTS(:,62).*1.00000)./(exp(STATES(:,3)./CONSTANTS(:,63)) - 1.00000);
    ALGEBRAIC(:,76) = ALGEBRAIC(:,58)+ALGEBRAIC(:,65);
    ALGEBRAIC(:,78) = (ALGEBRAIC(:,34) - ALGEBRAIC(:,76))./CONSTANTS(:,76);
    ALGEBRAIC(:,53) =  CONSTANTS(:,55).*power(CONSTANTS(:,58)./STATES(:,15), 2.00000)+CONSTANTS(:,56);
    ALGEBRAIC(:,79) = (ALGEBRAIC(:,48) - ALGEBRAIC(:,75))./ALGEBRAIC(:,53);
    ALGEBRAIC(:,8) = ALGEBRAIC(:,6) - CONSTANTS(:,11);
    ALGEBRAIC(:,13) = piecewise({ALGEBRAIC(:,8)>=0.00000&ALGEBRAIC(:,8)<=CONSTANTS(:,106), (1.00000 - cos((  pi.*ALGEBRAIC(:,8))./CONSTANTS(:,106)))./2.00000 , ALGEBRAIC(:,8)< 1.50000.*CONSTANTS(:,106)&ALGEBRAIC(:,8)>=CONSTANTS(:,106), (1.00000+cos(( 2.00000.* pi.*(ALGEBRAIC(:,8) - CONSTANTS(:,106)))./CONSTANTS(:,106)))./2.00000 }, 0.00000);
    ALGEBRAIC(:,18) =  (CONSTANTS(:,12) - CONSTANTS(:,13)).*ALGEBRAIC(:,13)+CONSTANTS(:,13);
    ALGEBRAIC(:,59) =  (1.00000 - ALGEBRAIC(:,13)).*(CONSTANTS(:,1) - CONSTANTS(:,2))+CONSTANTS(:,2);
    ALGEBRAIC(:,60) =  (STATES(:,4) - ALGEBRAIC(:,59)).*ALGEBRAIC(:,18) - ( CONSTANTS(:,62).*1.00000)./(exp(STATES(:,4)./CONSTANTS(:,63)) - 1.00000);
    ALGEBRAIC(:,80) = ALGEBRAIC(:,60)+ALGEBRAIC(:,65);
    ALGEBRAIC(:,81) = piecewise({ALGEBRAIC(:,76)>ALGEBRAIC(:,80), (ALGEBRAIC(:,76) - ALGEBRAIC(:,80))./CONSTANTS(:,10) }, 0.00000);
    ALGEBRAIC(:,84) = piecewise({ALGEBRAIC(:,80)>STATES(:,5), (ALGEBRAIC(:,80) - STATES(:,5))./CONSTANTS(:,26) }, 0.00000);
    ALGEBRAIC(:,19) = STATES(:,5);
    ALGEBRAIC(:,21) = STATES(:,24)./CONSTANTS(:,97) - ( CONSTANTS(:,66).*1.00000)./(exp(STATES(:,24)./CONSTANTS(:,65)) - 1.00000);
    ALGEBRAIC(:,66) = ALGEBRAIC(:,21)+ALGEBRAIC(:,65);
    ALGEBRAIC(:,67) = (ALGEBRAIC(:,19) - ALGEBRAIC(:,66))./CONSTANTS(:,88);
    ALGEBRAIC(:,83) = abs((ALGEBRAIC(:,80) - ALGEBRAIC(:,65))./2.00000);
    ALGEBRAIC(:,20) = STATES(:,27)./CONSTANTS(:,100) - ( CONSTANTS(:,66).*1.00000)./(exp(STATES(:,27)./CONSTANTS(:,65)) - 1.00000);
    ALGEBRAIC(:,86) = ALGEBRAIC(:,20)+ALGEBRAIC(:,83);
    ALGEBRAIC(:,88) = (ALGEBRAIC(:,86) - ALGEBRAIC(:,72))./CONSTANTS(:,92);
    ALGEBRAIC(:,14) = ALGEBRAIC(:,13);
    ALGEBRAIC(:,16) =  (CONSTANTS(:,14) - CONSTANTS(:,15)).*ALGEBRAIC(:,14)+CONSTANTS(:,15);
    ALGEBRAIC(:,82) =  (1.00000 - ALGEBRAIC(:,14)).*(CONSTANTS(:,3) - CONSTANTS(:,4))+CONSTANTS(:,4);
    ALGEBRAIC(:,85) =  (STATES(:,2) - ALGEBRAIC(:,82)).*ALGEBRAIC(:,16) - ( CONSTANTS(:,62).*1.00000)./(exp(STATES(:,2)./CONSTANTS(:,63)) - 1.00000);
    ALGEBRAIC(:,87) = ALGEBRAIC(:,85)+ALGEBRAIC(:,65);
    ALGEBRAIC(:,89) = piecewise({ALGEBRAIC(:,75)>ALGEBRAIC(:,87), (ALGEBRAIC(:,75) - ALGEBRAIC(:,87))./CONSTANTS(:,9) }, 0.00000);
    ALGEBRAIC(:,23) = STATES(:,25)./CONSTANTS(:,98) - ( CONSTANTS(:,66).*1.00000)./(exp(STATES(:,25)./CONSTANTS(:,65)) - 1.00000);
    ALGEBRAIC(:,90) = ALGEBRAIC(:,23)+ALGEBRAIC(:,83);
    ALGEBRAIC(:,92) = (ALGEBRAIC(:,66) - ALGEBRAIC(:,90))./CONSTANTS(:,89);
    ALGEBRAIC(:,91) = ((((( CONSTANTS(:,68).*STATES(:,16))./CONSTANTS(:,77) - ( CONSTANTS(:,68).*CONSTANTS(:,62).*1.00000)./(exp(STATES(:,16)./CONSTANTS(:,63)) - 1.00000))+ ALGEBRAIC(:,87).*CONSTANTS(:,69)) -  CONSTANTS(:,68).*CONSTANTS(:,69).*STATES(:,21).*16.6667)+ CONSTANTS(:,61).*CONSTANTS(:,68))./(CONSTANTS(:,69)+CONSTANTS(:,68));
    ALGEBRAIC(:,29) = ((STATES(:,16)./CONSTANTS(:,77)+CONSTANTS(:,61)) -  CONSTANTS(:,69).*STATES(:,21).*16.6667) - ( CONSTANTS(:,62).*1.00000)./(exp(STATES(:,16)./CONSTANTS(:,63)) - 1.00000);
    ALGEBRAIC(:,93) = piecewise({ALGEBRAIC(:,87)>ALGEBRAIC(:,91), ALGEBRAIC(:,91) }, ALGEBRAIC(:,29));
    ALGEBRAIC(:,25) = STATES(:,26)./CONSTANTS(:,99) - ( CONSTANTS(:,66).*1.00000)./(exp(STATES(:,26)./CONSTANTS(:,65)) - 1.00000);
    ALGEBRAIC(:,94) = ALGEBRAIC(:,25)+ALGEBRAIC(:,83);
    ALGEBRAIC(:,97) = (ALGEBRAIC(:,90) - ALGEBRAIC(:,94))./CONSTANTS(:,90);
    ALGEBRAIC(:,95) = piecewise({ALGEBRAIC(:,87)>ALGEBRAIC(:,93), (ALGEBRAIC(:,87) - ALGEBRAIC(:,93))./CONSTANTS(:,68) }, 0.00000);
    ALGEBRAIC(:,98) = (ALGEBRAIC(:,94) - ALGEBRAIC(:,86))./CONSTANTS(:,91);
    ALGEBRAIC(:,1) = STATES(:,5) - CONSTANTS(:,61);
    ALGEBRAIC(:,2) = STATES(:,9)+STATES(:,10)+STATES(:,11)+STATES(:,12);
    ALGEBRAIC(:,3) = STATES(:,14)+STATES(:,15);
    ALGEBRAIC(:,4) = STATES(:,16)+STATES(:,17)+STATES(:,18);
    ALGEBRAIC(:,5) = STATES(:,20);
    ALGEBRAIC(:,7) = piecewise({VOI>ALGEBRAIC(:,6)&VOI<ALGEBRAIC(:,6)+0.0200000, 5.00000 , VOI>ALGEBRAIC(:,6)+CONSTANTS(:,11)&VOI<ALGEBRAIC(:,6)+CONSTANTS(:,11)+0.0200000, 10.0000 }, 0.00000);
    ALGEBRAIC(:,9) = ALGEBRAIC(:,1);
    ALGEBRAIC(:,51) = ALGEBRAIC(:,50) - CONSTANTS(:,20);
    ALGEBRAIC(:,55) = STATES(:,1)+STATES(:,2)+STATES(:,16)+STATES(:,17)+STATES(:,18)+STATES(:,19)+STATES(:,20)+STATES(:,3)+STATES(:,4)+STATES(:,9)+STATES(:,10)+STATES(:,11)+STATES(:,12)+STATES(:,13)+STATES(:,14)+STATES(:,15)+CONSTANTS(:,87)+ALGEBRAIC(:,54);
    ALGEBRAIC(:,57) = ALGEBRAIC(:,55) - CONSTANTS(:,87);
    ALGEBRAIC(:,62) = ALGEBRAIC(:,61) - CONSTANTS(:,61);
    ALGEBRAIC(:,96) = ALGEBRAIC(:,93) - CONSTANTS(:,61);
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

% Compute a logarithm to any base" +
function x = arbitrary_log(a, base)
    x = log(a) ./ log(base);
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