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 =64;
end
% There are a total of 36 entries in each of the rate and state variable arrays.
% There are a total of 125 entries in the constant variable array.
%

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

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

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

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

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

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

function [LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends()
    LEGEND_STATES = ''; LEGEND_ALGEBRAIC = ''; LEGEND_VOI = ''; LEGEND_CONSTANTS = '';
    LEGEND_VOI = strpad('time in component environment (s)');
    LEGEND_STATES(:,1) = strpad('NAn in component NAn (mM)');
    LEGEND_ALGEBRAIC(:,1) = strpad('Vn_leak_Na in component Vn_leak_Na (mM_per_s)');
    LEGEND_ALGEBRAIC(:,4) = strpad('Vn_pump in component Vn_pump (mM_per_s)');
    LEGEND_ALGEBRAIC(:,40) = strpad('Vn_stim in component Vn_stim (mM_per_s)');
    LEGEND_STATES(:,2) = strpad('GLCn in component GLCn (mM)');
    LEGEND_ALGEBRAIC(:,5) = strpad('V_en_GLC in component V_en_GLC (mM_per_s)');
    LEGEND_ALGEBRAIC(:,6) = strpad('Vn_hk in component Vn_hk (mM_per_s)');
    LEGEND_STATES(:,3) = strpad('G6Pn in component G6Pn (mM)');
    LEGEND_ALGEBRAIC(:,7) = strpad('Vn_pgi in component Vn_pgi (mM_per_s)');
    LEGEND_STATES(:,4) = strpad('F6Pn in component F6Pn (mM)');
    LEGEND_ALGEBRAIC(:,8) = strpad('Vn_pfk in component Vn_pfk (mM_per_s)');
    LEGEND_STATES(:,5) = strpad('GAPn in component GAPn (mM)');
    LEGEND_ALGEBRAIC(:,48) = strpad('Vn_pgk in component Vn_pgk (mM_per_s)');
    LEGEND_STATES(:,6) = strpad('PEPn in component PEPn (mM)');
    LEGEND_ALGEBRAIC(:,50) = strpad('Vn_pk in component Vn_pk (mM_per_s)');
    LEGEND_STATES(:,7) = strpad('PYRn in component PYRn (mM)');
    LEGEND_ALGEBRAIC(:,41) = strpad('Vn_ldh in component Vn_ldh (mM_per_s)');
    LEGEND_ALGEBRAIC(:,51) = strpad('Vn_mito in component Vn_mito (mM_per_s)');
    LEGEND_STATES(:,8) = strpad('LACn in component LACn (mM)');
    LEGEND_ALGEBRAIC(:,9) = strpad('Vne_LAC in component Vne_LAC (mM_per_s)');
    LEGEND_STATES(:,9) = strpad('NADHn in component NADHn (mM)');
    LEGEND_STATES(:,10) = strpad('ATPn in component ATPn (mM)');
    LEGEND_CONSTANTS(:,1) = strpad('nOP in component model_parameters (dimensionless)');
    LEGEND_ALGEBRAIC(:,10) = strpad('Vn_ATPase in component Vn_ATPase (mM_per_s)');
    LEGEND_ALGEBRAIC(:,52) = strpad('Vn_ck in component Vn_ck (mM_per_s)');
    LEGEND_ALGEBRAIC(:,56) = strpad('dAMP_dATPn in component dAMP_dATPn (dimensionless)');
    LEGEND_STATES(:,11) = strpad('PCrn in component PCrn (mM)');
    LEGEND_STATES(:,12) = strpad('O2n in component O2n (mM)');
    LEGEND_CONSTANTS(:,2) = strpad('NAero in component model_parameters (dimensionless)');
    LEGEND_ALGEBRAIC(:,11) = strpad('Vcn_O2 in component Vcn_O2 (mM_per_s)');
    LEGEND_STATES(:,13) = strpad('GLUn in component GLUn (mM)');
    LEGEND_CONSTANTS(:,3) = strpad('Rng in component model_parameters (dimensionless)');
    LEGEND_ALGEBRAIC(:,29) = strpad('Vg_gs in component Vg_gs (mM_per_s)');
    LEGEND_ALGEBRAIC(:,43) = strpad('Vn_stim_GLU in component Vn_stim_GLU (mM_per_s)');
    LEGEND_STATES(:,14) = strpad('NAg in component NAg (mM)');
    LEGEND_ALGEBRAIC(:,12) = strpad('Vg_leak_Na in component Vg_leak_Na (mM_per_s)');
    LEGEND_ALGEBRAIC(:,13) = strpad('Vg_pump in component Vg_pump (mM_per_s)');
    LEGEND_ALGEBRAIC(:,30) = strpad('Veg_GLU in component Veg_GLU (mM_per_s)');
    LEGEND_STATES(:,15) = strpad('GLCg in component GLCg (mM)');
    LEGEND_ALGEBRAIC(:,15) = strpad('Vcg_GLC in component Vcg_GLC (mM_per_s)');
    LEGEND_ALGEBRAIC(:,14) = strpad('Veg_GLC in component Veg_GLC (mM_per_s)');
    LEGEND_ALGEBRAIC(:,16) = strpad('Vg_hk in component Vg_hk (mM_per_s)');
    LEGEND_STATES(:,16) = strpad('G6Pg in component G6Pg (mM)');
    LEGEND_ALGEBRAIC(:,17) = strpad('Vg_pgi in component Vg_pgi (mM_per_s)');
    LEGEND_ALGEBRAIC(:,19) = strpad('Vg_glys in component Vg_glys (mM_per_s)');
    LEGEND_ALGEBRAIC(:,25) = strpad('Vg_glyp in component Vg_glyp (mM_per_s)');
    LEGEND_STATES(:,17) = strpad('F6Pg in component F6Pg (mM)');
    LEGEND_ALGEBRAIC(:,18) = strpad('Vg_pfk in component Vg_pfk (mM_per_s)');
    LEGEND_STATES(:,18) = strpad('GAPg in component GAPg (mM)');
    LEGEND_ALGEBRAIC(:,57) = strpad('Vg_pgk in component Vg_pgk (mM_per_s)');
    LEGEND_STATES(:,19) = strpad('PEPg in component PEPg (mM)');
    LEGEND_ALGEBRAIC(:,59) = strpad('Vg_pk in component Vg_pk (mM_per_s)');
    LEGEND_STATES(:,20) = strpad('PYRg in component PYRg (mM)');
    LEGEND_ALGEBRAIC(:,44) = strpad('Vg_ldh in component Vg_ldh (mM_per_s)');
    LEGEND_ALGEBRAIC(:,60) = strpad('Vg_mito in component Vg_mito (mM_per_s)');
    LEGEND_STATES(:,21) = strpad('LACg in component LACg (mM)');
    LEGEND_ALGEBRAIC(:,20) = strpad('Vge_LAC in component Vge_LAC (mM_per_s)');
    LEGEND_ALGEBRAIC(:,22) = strpad('Vgc_LAC in component Vgc_LAC (mM_per_s)');
    LEGEND_STATES(:,22) = strpad('NADHg in component NADHg (mM)');
    LEGEND_STATES(:,23) = strpad('ATPg in component ATPg (mM)');
    LEGEND_ALGEBRAIC(:,24) = strpad('Vg_ATPase in component Vg_ATPase (mM_per_s)');
    LEGEND_ALGEBRAIC(:,61) = strpad('Vg_ck in component Vg_ck (mM_per_s)');
    LEGEND_ALGEBRAIC(:,64) = strpad('dAMP_dATPg in component dAMP_dATPg (dimensionless)');
    LEGEND_STATES(:,24) = strpad('PCrg in component PCrg (mM)');
    LEGEND_STATES(:,25) = strpad('O2g in component O2g (mM)');
    LEGEND_ALGEBRAIC(:,26) = strpad('Vcg_O2 in component Vcg_O2 (mM_per_s)');
    LEGEND_STATES(:,26) = strpad('GLYg in component GLYg (mM)');
    LEGEND_STATES(:,27) = strpad('GLUg in component GLUg (mM)');
    LEGEND_STATES(:,28) = strpad('GLCe in component GLCe (mM)');
    LEGEND_CONSTANTS(:,4) = strpad('Reg in component model_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,5) = strpad('Ren in component model_parameters (dimensionless)');
    LEGEND_ALGEBRAIC(:,27) = strpad('Vce_GLC in component Vce_GLC (mM_per_s)');
    LEGEND_STATES(:,29) = strpad('LACe in component LACe (mM)');
    LEGEND_ALGEBRAIC(:,28) = strpad('Vec_LAC in component Vec_LAC (mM_per_s)');
    LEGEND_STATES(:,30) = strpad('GLUe in component GLUe (mM)');
    LEGEND_STATES(:,31) = strpad('O2c in component O2c (mM)');
    LEGEND_CONSTANTS(:,6) = strpad('Rcn in component model_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,7) = strpad('Rcg in component model_parameters (dimensionless)');
    LEGEND_ALGEBRAIC(:,34) = strpad('Vc_O2 in component Vc_O2 (mM_per_s)');
    LEGEND_STATES(:,32) = strpad('GLCc in component GLCc (mM)');
    LEGEND_CONSTANTS(:,8) = strpad('Rce in component model_parameters (dimensionless)');
    LEGEND_ALGEBRAIC(:,35) = strpad('Vc_GLC in component Vc_GLC (mM_per_s)');
    LEGEND_STATES(:,33) = strpad('LACc in component LACc (mM)');
    LEGEND_ALGEBRAIC(:,36) = strpad('Vc_LAC in component Vc_LAC (mM_per_s)');
    LEGEND_STATES(:,34) = strpad('CO2c in component CO2c (mM)');
    LEGEND_ALGEBRAIC(:,53) = strpad('Vnc_CO2 in component Vnc_CO2 (mM_per_s)');
    LEGEND_ALGEBRAIC(:,33) = strpad('Vc_CO2 in component Vc_CO2 (mM_per_s)');
    LEGEND_ALGEBRAIC(:,62) = strpad('Vgc_CO2 in component Vgc_CO2 (mM_per_s)');
    LEGEND_STATES(:,35) = strpad('Vv in component Vv (dimensionless)');
    LEGEND_ALGEBRAIC(:,31) = strpad('Fin_t in component Fin_t (per_s)');
    LEGEND_ALGEBRAIC(:,37) = strpad('Fout_t in component Fout_t (per_s)');
    LEGEND_STATES(:,36) = strpad('dHb in component dHb (mM)');
    LEGEND_CONSTANTS(:,9) = strpad('O2a in component model_parameters (mM)');
    LEGEND_CONSTANTS(:,10) = strpad('gn_NA in component Vn_leak_Na (mS_per_cm2)');
    LEGEND_CONSTANTS(:,11) = strpad('Sm_n in component model_parameters (per_cm)');
    LEGEND_CONSTANTS(:,12) = strpad('Vm in component model_parameters (mV)');
    LEGEND_CONSTANTS(:,13) = strpad('Vn in component model_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,14) = strpad('RT in component model_parameters (mV_C_per_mol)');
    LEGEND_CONSTANTS(:,15) = strpad('F in component model_parameters (C_per_mole)');
    LEGEND_CONSTANTS(:,16) = strpad('NAe in component model_parameters (mM)');
    LEGEND_CONSTANTS(:,17) = strpad('kpump in component model_parameters (cm_per_mM_per_s)');
    LEGEND_CONSTANTS(:,18) = strpad('Km_pump in component model_parameters (mM)');
    LEGEND_ALGEBRAIC(:,38) = strpad('v_stim in component v_stim (mM_per_s)');
    LEGEND_CONSTANTS(:,19) = strpad('Km_en_GLC in component V_en_GLC (mM)');
    LEGEND_CONSTANTS(:,20) = strpad('Vm_en_GLC in component V_en_GLC (mM_per_s)');
    LEGEND_CONSTANTS(:,21) = strpad('Vmax_n_hk in component Vn_hk (mM_per_s)');
    LEGEND_CONSTANTS(:,22) = strpad('Km_GLC in component model_parameters (mM)');
    LEGEND_CONSTANTS(:,23) = strpad('G6P_inh_hk in component model_parameters (mM)');
    LEGEND_CONSTANTS(:,24) = strpad('aG6P_inh_hk in component model_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,25) = strpad('Vmaxf_n_pgi in component Vn_pgi (mM_per_s)');
    LEGEND_CONSTANTS(:,26) = strpad('Vmaxr_n_pgi in component Vn_pgi (mM_per_s)');
    LEGEND_CONSTANTS(:,27) = strpad('Km_G6P in component model_parameters (mM)');
    LEGEND_CONSTANTS(:,28) = strpad('Km_F6P_pgi in component model_parameters (mM)');
    LEGEND_CONSTANTS(:,29) = strpad('kn_pfk in component Vn_pfk (per_s)');
    LEGEND_CONSTANTS(:,30) = strpad('Km_F6P_pfk in component model_parameters (mM)');
    LEGEND_CONSTANTS(:,31) = strpad('Ki_ATP in component model_parameters (mM)');
    LEGEND_CONSTANTS(:,32) = strpad('nH in component model_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,33) = strpad('kn_pgk in component Vn_pgk (per_mM_per_s)');
    LEGEND_ALGEBRAIC(:,47) = strpad('ADPn in component ADPn (mM)');
    LEGEND_ALGEBRAIC(:,39) = strpad('NADn in component NADn (mM)');
    LEGEND_CONSTANTS(:,34) = strpad('kn_pk in component Vn_pk (per_mM_per_s)');
    LEGEND_CONSTANTS(:,35) = strpad('kfn_ldh in component Vn_ldh (per_mM_per_s)');
    LEGEND_CONSTANTS(:,36) = strpad('krn_ldh in component Vn_ldh (per_mM_per_s)');
    LEGEND_CONSTANTS(:,37) = strpad('Vmax_n_mito in component Vn_mito (mM_per_s)');
    LEGEND_CONSTANTS(:,38) = strpad('Km_O2 in component model_parameters (mM)');
    LEGEND_CONSTANTS(:,39) = strpad('Km_ADP in component model_parameters (mM)');
    LEGEND_CONSTANTS(:,40) = strpad('Km_PYR in component model_parameters (mM)');
    LEGEND_CONSTANTS(:,41) = strpad('rATP_mito in component model_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,42) = strpad('aATP_mito in component model_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,43) = strpad('Vmax_ne_LAC in component Vne_LAC (mM_per_s)');
    LEGEND_CONSTANTS(:,44) = strpad('Km_ne_LAC in component Vne_LAC (mM)');
    LEGEND_CONSTANTS(:,45) = strpad('Vmax_n_ATPase in component Vn_ATPase (mM_per_s)');
    LEGEND_CONSTANTS(:,46) = strpad('krn_ck in component Vn_ck (per_mM_per_s)');
    LEGEND_CONSTANTS(:,47) = strpad('kfn_ck in component Vn_ck (per_mM_per_s)');
    LEGEND_ALGEBRAIC(:,45) = strpad('CRn in component CRn (mM)');
    LEGEND_CONSTANTS(:,48) = strpad('nh_O2 in component Vcn_O2 (dimensionless)');
    LEGEND_CONSTANTS(:,49) = strpad('PScapn in component Vcn_O2 (per_s)');
    LEGEND_CONSTANTS(:,50) = strpad('Ko2 in component model_parameters (mM)');
    LEGEND_CONSTANTS(:,51) = strpad('HbOP in component model_parameters (mM)');
    LEGEND_CONSTANTS(:,52) = strpad('gg_NA in component Vg_leak_Na (mS_per_cm2)');
    LEGEND_CONSTANTS(:,53) = strpad('Sm_g in component model_parameters (per_cm)');
    LEGEND_CONSTANTS(:,54) = strpad('Vg in component model_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,55) = strpad('Km_eg_GLC in component Veg_GLC (mM)');
    LEGEND_CONSTANTS(:,56) = strpad('Vm_eg_GLC in component Veg_GLC (mM_per_s)');
    LEGEND_CONSTANTS(:,57) = strpad('KO1 in component model_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,58) = strpad('Km_cg_GLC in component Vcg_GLC (mM)');
    LEGEND_CONSTANTS(:,59) = strpad('Vm_cg_GLC in component Vcg_GLC (mM_per_s)');
    LEGEND_CONSTANTS(:,60) = strpad('Vmax_g_hk in component Vg_hk (mM_per_s)');
    LEGEND_CONSTANTS(:,61) = strpad('Vmaxf_g_pgi in component Vg_pgi (mM_per_s)');
    LEGEND_CONSTANTS(:,62) = strpad('Vmaxr_g_pgi in component Vg_pgi (mM_per_s)');
    LEGEND_CONSTANTS(:,63) = strpad('kg_pfk in component Vg_pfk (per_s)');
    LEGEND_CONSTANTS(:,64) = strpad('kg_pgk in component Vg_pgk (per_mM_per_s)');
    LEGEND_ALGEBRAIC(:,55) = strpad('ADPg in component ADPg (mM)');
    LEGEND_ALGEBRAIC(:,42) = strpad('NADg in component NADg (mM)');
    LEGEND_CONSTANTS(:,65) = strpad('kg_pk in component Vg_pk (per_mM_per_s)');
    LEGEND_CONSTANTS(:,66) = strpad('kfg_ldh in component Vg_ldh (per_mM_per_s)');
    LEGEND_CONSTANTS(:,67) = strpad('krg_ldh in component Vg_ldh (per_mM_per_s)');
    LEGEND_CONSTANTS(:,68) = strpad('Vmax_g_mito in component Vg_mito (mM_per_s)');
    LEGEND_CONSTANTS(:,69) = strpad('Vmax_ge_LAC in component Vge_LAC (mM_per_s)');
    LEGEND_CONSTANTS(:,70) = strpad('Km_ge_LAC in component Vge_LAC (mM)');
    LEGEND_CONSTANTS(:,71) = strpad('Vmax_gc_LAC in component Vgc_LAC (mM_per_s)');
    LEGEND_CONSTANTS(:,72) = strpad('Km_gc_LAC in component Vgc_LAC (mM)');
    LEGEND_CONSTANTS(:,73) = strpad('Vmax_g_ATPase in component Vg_ATPase (mM_per_s)');
    LEGEND_CONSTANTS(:,74) = strpad('krg_ck in component Vg_ck (per_mM_per_s)');
    LEGEND_CONSTANTS(:,75) = strpad('kfg_ck in component Vg_ck (per_mM_per_s)');
    LEGEND_ALGEBRAIC(:,46) = strpad('CRg in component CRg (mM)');
    LEGEND_CONSTANTS(:,76) = strpad('PScapg in component Vcg_O2 (per_s)');
    LEGEND_CONSTANTS(:,77) = strpad('nh_O2 in component model_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,78) = strpad('Vc in component model_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,79) = strpad('GLCa in component model_parameters (mM)');
    LEGEND_CONSTANTS(:,80) = strpad('Km_ce_GLC in component Vce_GLC (mM)');
    LEGEND_CONSTANTS(:,81) = strpad('Vm_ce_GLC in component Vce_GLC (mM_per_s)');
    LEGEND_CONSTANTS(:,82) = strpad('LACa in component model_parameters (mM)');
    LEGEND_CONSTANTS(:,83) = strpad('Km_ec_LAC in component Vec_LAC (mM)');
    LEGEND_CONSTANTS(:,84) = strpad('Vm_ec_LAC in component Vec_LAC (mM_per_s)');
    LEGEND_CONSTANTS(:,85) = strpad('R_GLU_NA in component model_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,86) = strpad('Km_GLU in component model_parameters (mM)');
    LEGEND_CONSTANTS(:,87) = strpad('KO2 in component model_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,88) = strpad('Vmax_g_gs in component Vg_gs (mM_per_s)');
    LEGEND_CONSTANTS(:,89) = strpad('Km_ATP in component model_parameters (mM)');
    LEGEND_CONSTANTS(:,90) = strpad('Vmax_eg_GLU in component Veg_GLU (mM_per_s)');
    LEGEND_CONSTANTS(:,91) = strpad('CO2a in component model_parameters (mM)');
    LEGEND_CONSTANTS(:,92) = strpad('Vmax_glys in component Vg_glys (mM_per_s)');
    LEGEND_CONSTANTS(:,93) = strpad('Km_G6P_glys in component Vg_glys (mM)');
    LEGEND_CONSTANTS(:,94) = strpad('GLY_inh in component model_parameters (mM)');
    LEGEND_CONSTANTS(:,95) = strpad('aGLY_inh in component model_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,96) = strpad('Vmax_glyp in component Vg_glyp (mM_per_s)');
    LEGEND_CONSTANTS(:,97) = strpad('Km_GLY in component Vg_glyp (mM)');
    LEGEND_ALGEBRAIC(:,23) = strpad('deltaVt_GLY in component Vg_glyp (dimensionless)');
    LEGEND_ALGEBRAIC(:,21) = strpad('unitstepSB2 in component unitstepSB2 (dimensionless)');
    LEGEND_CONSTANTS(:,98) = strpad('stim in component model_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,99) = strpad('to in component model_parameters (s)');
    LEGEND_CONSTANTS(:,100) = strpad('to_GLY in component model_parameters (s)');
    LEGEND_CONSTANTS(:,101) = strpad('tend_GLY in component model_parameters (s)');
    LEGEND_CONSTANTS(:,102) = strpad('sr_GLY in component model_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,103) = strpad('t1 in component model_parameters (s)');
    LEGEND_CONSTANTS(:,104) = strpad('delta_GLY in component model_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,105) = strpad('KO3 in component model_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,106) = strpad('CBF0 in component Fin_t (per_s)');
    LEGEND_CONSTANTS(:,107) = strpad('tend in component model_parameters (s)');
    LEGEND_CONSTANTS(:,108) = strpad('sr in component model_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,109) = strpad('deltaf in component model_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,110) = strpad('CBF0 in component model_parameters (per_s)');
    LEGEND_CONSTANTS(:,111) = strpad('Vv0 in component model_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,112) = strpad('tv in component model_parameters (s)');
    LEGEND_CONSTANTS(:,113) = strpad('NADH_n_tot in component NADn (mM)');
    LEGEND_CONSTANTS(:,114) = strpad('NADH_g_tot in component NADg (mM)');
    LEGEND_CONSTANTS(:,115) = strpad('PCrn_tot in component CRn (mM)');
    LEGEND_CONSTANTS(:,116) = strpad('PCrg_tot in component CRg (mM)');
    LEGEND_CONSTANTS(:,117) = strpad('ATPtot in component model_parameters (mM)');
    LEGEND_CONSTANTS(:,118) = strpad('qak in component model_parameters (dimensionless)');
    LEGEND_ALGEBRAIC(:,54) = strpad('u_n in component u_n (dimensionless)');
    LEGEND_ALGEBRAIC(:,63) = strpad('u_g in component u_g (dimensionless)');
    LEGEND_ALGEBRAIC(:,49) = strpad('AMPn in component AMPn (mM)');
    LEGEND_ALGEBRAIC(:,58) = strpad('AMPg in component AMPg (mM)');
    LEGEND_ALGEBRAIC(:,2) = strpad('BOLD in component BOLD (dimensionless)');
    LEGEND_CONSTANTS(:,119) = strpad('k1 in component model_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,120) = strpad('k2 in component model_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,121) = strpad('k3 in component model_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,122) = strpad('dHb0 in component model_parameters (mM)');
    LEGEND_ALGEBRAIC(:,32) = strpad('unitpulseSB in component v_stim (dimensionless)');
    LEGEND_CONSTANTS(:,123) = strpad('t_n_stim in component model_parameters (s)');
    LEGEND_CONSTANTS(:,124) = strpad('v1_n in component model_parameters (mM_per_s)');
    LEGEND_CONSTANTS(:,125) = strpad('v2_n in component model_parameters (mM_per_s)');
    LEGEND_ALGEBRAIC(:,3) = strpad('unitstepSB in component unitstepSB (dimensionless)');
    LEGEND_RATES(:,1) = strpad('d/dt NAn in component NAn (mM)');
    LEGEND_RATES(:,2) = strpad('d/dt GLCn in component GLCn (mM)');
    LEGEND_RATES(:,3) = strpad('d/dt G6Pn in component G6Pn (mM)');
    LEGEND_RATES(:,4) = strpad('d/dt F6Pn in component F6Pn (mM)');
    LEGEND_RATES(:,5) = strpad('d/dt GAPn in component GAPn (mM)');
    LEGEND_RATES(:,6) = strpad('d/dt PEPn in component PEPn (mM)');
    LEGEND_RATES(:,7) = strpad('d/dt PYRn in component PYRn (mM)');
    LEGEND_RATES(:,8) = strpad('d/dt LACn in component LACn (mM)');
    LEGEND_RATES(:,9) = strpad('d/dt NADHn in component NADHn (mM)');
    LEGEND_RATES(:,10) = strpad('d/dt ATPn in component ATPn (mM)');
    LEGEND_RATES(:,11) = strpad('d/dt PCrn in component PCrn (mM)');
    LEGEND_RATES(:,12) = strpad('d/dt O2n in component O2n (mM)');
    LEGEND_RATES(:,13) = strpad('d/dt GLUn in component GLUn (mM)');
    LEGEND_RATES(:,14) = strpad('d/dt NAg in component NAg (mM)');
    LEGEND_RATES(:,15) = strpad('d/dt GLCg in component GLCg (mM)');
    LEGEND_RATES(:,16) = strpad('d/dt G6Pg in component G6Pg (mM)');
    LEGEND_RATES(:,17) = strpad('d/dt F6Pg in component F6Pg (mM)');
    LEGEND_RATES(:,18) = strpad('d/dt GAPg in component GAPg (mM)');
    LEGEND_RATES(:,19) = strpad('d/dt PEPg in component PEPg (mM)');
    LEGEND_RATES(:,20) = strpad('d/dt PYRg in component PYRg (mM)');
    LEGEND_RATES(:,21) = strpad('d/dt LACg in component LACg (mM)');
    LEGEND_RATES(:,22) = strpad('d/dt NADHg in component NADHg (mM)');
    LEGEND_RATES(:,23) = strpad('d/dt ATPg in component ATPg (mM)');
    LEGEND_RATES(:,24) = strpad('d/dt PCrg in component PCrg (mM)');
    LEGEND_RATES(:,25) = strpad('d/dt O2g in component O2g (mM)');
    LEGEND_RATES(:,26) = strpad('d/dt GLYg in component GLYg (mM)');
    LEGEND_RATES(:,27) = strpad('d/dt GLUg in component GLUg (mM)');
    LEGEND_RATES(:,28) = strpad('d/dt GLCe in component GLCe (mM)');
    LEGEND_RATES(:,29) = strpad('d/dt LACe in component LACe (mM)');
    LEGEND_RATES(:,30) = strpad('d/dt GLUe in component GLUe (mM)');
    LEGEND_RATES(:,31) = strpad('d/dt O2c in component O2c (mM)');
    LEGEND_RATES(:,32) = strpad('d/dt GLCc in component GLCc (mM)');
    LEGEND_RATES(:,33) = strpad('d/dt LACc in component LACc (mM)');
    LEGEND_RATES(:,34) = strpad('d/dt CO2c in component CO2c (mM)');
    LEGEND_RATES(:,35) = strpad('d/dt Vv in component Vv (dimensionless)');
    LEGEND_RATES(:,36) = strpad('d/dt dHb in component dHb (mM)');
    LEGEND_STATES  = LEGEND_STATES';
    LEGEND_ALGEBRAIC = LEGEND_ALGEBRAIC';
    LEGEND_RATES = LEGEND_RATES';
    LEGEND_CONSTANTS = LEGEND_CONSTANTS';
end

function [STATES, CONSTANTS] = initConsts()
    VOI = 0; CONSTANTS = []; STATES = []; ALGEBRAIC = [];
    STATES(:,1) = 15.533;
    STATES(:,2) = 0.2633;
    STATES(:,3) = 0.7275;
    STATES(:,4) = 0.1091;
    STATES(:,5) = 0.0418;
    STATES(:,6) = 0.0037;
    STATES(:,7) = 0.0388;
    STATES(:,8) = 0.3856;
    STATES(:,9) = 0.0319;
    STATES(:,10) = 2.2592;
    CONSTANTS(:,1) = 15.0;
    STATES(:,11) = 4.2529;
    STATES(:,12) = 0.0975;
    CONSTANTS(:,2) = 3.0;
    STATES(:,13) = 3.0;
    CONSTANTS(:,3) = 1.8;
    STATES(:,14) = 13.36;
    STATES(:,15) = 0.1656;
    STATES(:,16) = 0.7326;
    STATES(:,17) = 0.1116;
    STATES(:,18) = 0.0698;
    STATES(:,19) = 0.0254;
    STATES(:,20) = 0.1711;
    STATES(:,21) = 0.4651;
    STATES(:,22) = 0.0445;
    STATES(:,23) = 2.24;
    STATES(:,24) = 4.6817;
    STATES(:,25) = 0.1589;
    STATES(:,26) = 2.5;
    STATES(:,27) = 0.0;
    STATES(:,28) = 0.3339;
    CONSTANTS(:,4) = 0.8;
    CONSTANTS(:,5) = 0.4444444444444444;
    STATES(:,29) = 0.3986;
    STATES(:,30) = 0.0;
    STATES(:,31) = 7.4201;
    CONSTANTS(:,6) = 0.01222;
    CONSTANTS(:,7) = 0.022;
    STATES(:,32) = 4.6401;
    CONSTANTS(:,8) = 0.0275;
    STATES(:,33) = 0.3251;
    STATES(:,34) = 2.12;
    STATES(:,35) = 0.0237;
    STATES(:,36) = 0.0218;
    CONSTANTS(:,9) = 8.34;
    CONSTANTS(:,10) = 0.0039;
    CONSTANTS(:,11) = 40500;
    CONSTANTS(:,12) = -70;
    CONSTANTS(:,13) = 0.45;
    CONSTANTS(:,14) = 2577340;
    CONSTANTS(:,15) = 96500;
    CONSTANTS(:,16) = 150.0;
    CONSTANTS(:,17) = 3.17e-7;
    CONSTANTS(:,18) = 0.4243;
    CONSTANTS(:,19) = 5.32;
    CONSTANTS(:,20) = 0.50417;
    CONSTANTS(:,21) = 0.0513;
    CONSTANTS(:,22) = 0.105;
    CONSTANTS(:,23) = 0.6;
    CONSTANTS(:,24) = 20.0;
    CONSTANTS(:,25) = 0.5;
    CONSTANTS(:,26) = 0.45;
    CONSTANTS(:,27) = 0.5;
    CONSTANTS(:,28) = 0.06;
    CONSTANTS(:,29) = 0.55783;
    CONSTANTS(:,30) = 0.18;
    CONSTANTS(:,31) = 0.7595;
    CONSTANTS(:,32) = 4.0;
    CONSTANTS(:,33) = 0.4287;
    CONSTANTS(:,34) = 28.6;
    CONSTANTS(:,35) = 5.30;
    CONSTANTS(:,36) = 0.1046;
    CONSTANTS(:,37) = 0.05557;
    CONSTANTS(:,38) = 0.0029658;
    CONSTANTS(:,39) = 0.00107;
    CONSTANTS(:,40) = 0.0632;
    CONSTANTS(:,41) = 20.0;
    CONSTANTS(:,42) = 5.0;
    CONSTANTS(:,43) = 0.1978;
    CONSTANTS(:,44) = 0.09314;
    CONSTANTS(:,45) = 0.04889;
    CONSTANTS(:,46) = 0.015;
    CONSTANTS(:,47) = 0.0524681;
    CONSTANTS(:,48) = 2.7;
    CONSTANTS(:,49) = 0.2202;
    CONSTANTS(:,50) = 0.089733;
    CONSTANTS(:,51) = 8.6;
    CONSTANTS(:,52) = 0.00325;
    CONSTANTS(:,53) = 10500;
    CONSTANTS(:,54) = 0.25;
    CONSTANTS(:,55) = 3.53;
    CONSTANTS(:,56) = 0.038089;
    CONSTANTS(:,57) = 1.0;
    CONSTANTS(:,58) = 9.92;
    CONSTANTS(:,59) = 0.0098394;
    CONSTANTS(:,60) = 0.050461;
    CONSTANTS(:,61) = 0.5;
    CONSTANTS(:,62) = 0.45;
    CONSTANTS(:,63) = 0.403;
    CONSTANTS(:,64) = 0.2514;
    CONSTANTS(:,65) = 2.73;
    CONSTANTS(:,66) = 6.2613;
    CONSTANTS(:,67) = 0.54682;
    CONSTANTS(:,68) = 0.008454;
    CONSTANTS(:,69) = 0.086124;
    CONSTANTS(:,70) = 0.22163;
    CONSTANTS(:,71) = 0.00021856;
    CONSTANTS(:,72) = 0.12862;
    CONSTANTS(:,73) = 0.035657;
    CONSTANTS(:,74) = 0.02073;
    CONSTANTS(:,75) = 0.0243;
    CONSTANTS(:,76) = 0.2457;
    CONSTANTS(:,77) = 2.7;
    CONSTANTS(:,78) = 0.0055;
    CONSTANTS(:,79) = 4.8;
    CONSTANTS(:,80) = 8.4568;
    CONSTANTS(:,81) = 0.0489;
    CONSTANTS(:,82) = 0.313;
    CONSTANTS(:,83) = 0.764818;
    CONSTANTS(:,84) = 0.0325;
    CONSTANTS(:,85) = 0.075;
    CONSTANTS(:,86) = 0.05;
    CONSTANTS(:,87) = 1;
    CONSTANTS(:,88) = 0.3;
    CONSTANTS(:,89) = 0.01532;
    CONSTANTS(:,90) = 0.0208;
    CONSTANTS(:,91) = 1.2;
    CONSTANTS(:,92) = 0.0001528;
    CONSTANTS(:,93) = 0.5;
    CONSTANTS(:,94) = 4.2;
    CONSTANTS(:,95) = 20.0;
    CONSTANTS(:,96) = 4.922e-5;
    CONSTANTS(:,97) = 1.0;
    CONSTANTS(:,98) = 1;
    CONSTANTS(:,99) = 200;
    CONSTANTS(:,100) = 83;
    CONSTANTS(:,101) = 440;
    CONSTANTS(:,102) = 4;
    CONSTANTS(:,103) = 2;
    CONSTANTS(:,104) = 62;
    CONSTANTS(:,105) = 1;
    CONSTANTS(:,106) = 0.012;
    CONSTANTS(:,107) = 300;
    CONSTANTS(:,108) = 4.59186;
    CONSTANTS(:,109) = 0.42;
    CONSTANTS(:,110) = 0.012;
    CONSTANTS(:,111) = 0.0236;
    CONSTANTS(:,112) = 35.0;
    CONSTANTS(:,113) = 0.22;
    CONSTANTS(:,114) = 0.22;
    CONSTANTS(:,115) = 5.0;
    CONSTANTS(:,116) = 5.0;
    CONSTANTS(:,117) = 2.379;
    CONSTANTS(:,118) = 0.92;
    CONSTANTS(:,119) = 2.22;
    CONSTANTS(:,120) = 0.46;
    CONSTANTS(:,121) = 0.43;
    CONSTANTS(:,122) = 0.064;
    CONSTANTS(:,123) = 2;
    CONSTANTS(:,124) = 0.041;
    CONSTANTS(:,125) = 2.55;
    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) =  CONSTANTS(:,20).*(STATES(:,28)./(STATES(:,28)+CONSTANTS(:,19)) - STATES(:,2)./(STATES(:,2)+CONSTANTS(:,19)));
    ALGEBRAIC(:,6) =  CONSTANTS(:,21).*STATES(:,10).*(STATES(:,2)./(STATES(:,2)+CONSTANTS(:,22))).*(1.00000 - 1.00000./(1.00000+exp(  - CONSTANTS(:,24).*( 1.00000.*(STATES(:,3) - CONSTANTS(:,23))))));
    RATES(:,2) = ALGEBRAIC(:,5) - ALGEBRAIC(:,6);
    ALGEBRAIC(:,7) =  CONSTANTS(:,25).*(STATES(:,3)./(STATES(:,3)+CONSTANTS(:,27))) -  CONSTANTS(:,26).*(STATES(:,4)./(STATES(:,4)+CONSTANTS(:,28)));
    RATES(:,3) = ALGEBRAIC(:,6) - ALGEBRAIC(:,7);
    ALGEBRAIC(:,8) =  CONSTANTS(:,29).*STATES(:,10).*(STATES(:,4)./(STATES(:,4)+CONSTANTS(:,30))).*power(1.00000+power(STATES(:,10)./CONSTANTS(:,31), CONSTANTS(:,32)), -1.00000);
    RATES(:,4) = ALGEBRAIC(:,7) - ALGEBRAIC(:,8);
    ALGEBRAIC(:,15) =  CONSTANTS(:,59).*(STATES(:,32)./(STATES(:,32)+CONSTANTS(:,58)) - STATES(:,15)./(STATES(:,15)+CONSTANTS(:,58)));
    ALGEBRAIC(:,14) =  CONSTANTS(:,57).*CONSTANTS(:,56).*(STATES(:,28)./(STATES(:,28)+CONSTANTS(:,55)) - STATES(:,15)./(STATES(:,15)+CONSTANTS(:,55)));
    ALGEBRAIC(:,16) =  CONSTANTS(:,60).*STATES(:,23).*(STATES(:,15)./(STATES(:,15)+CONSTANTS(:,22))).*(1.00000 - 1.00000./(1.00000+exp(  - CONSTANTS(:,24).*( 1.00000.*(STATES(:,16) - CONSTANTS(:,23))))));
    RATES(:,15) = (ALGEBRAIC(:,15)+ALGEBRAIC(:,14)) - ALGEBRAIC(:,16);
    ALGEBRAIC(:,17) =  CONSTANTS(:,61).*(STATES(:,16)./(STATES(:,16)+CONSTANTS(:,27))) -  CONSTANTS(:,62).*(STATES(:,17)./(STATES(:,17)+CONSTANTS(:,28)));
    ALGEBRAIC(:,18) =  CONSTANTS(:,63).*STATES(:,23).*(STATES(:,17)./(STATES(:,17)+CONSTANTS(:,30))).*power(1.00000+power(STATES(:,23)./CONSTANTS(:,31), CONSTANTS(:,32)), -1.00000);
    RATES(:,17) = ALGEBRAIC(:,17) - ALGEBRAIC(:,18);
    ALGEBRAIC(:,19) =  CONSTANTS(:,92).*(STATES(:,16)./(STATES(:,16)+CONSTANTS(:,93))).*(1.00000 - 1.00000./(1.00000+exp(  - CONSTANTS(:,95).*( 1.00000.*(STATES(:,26) - CONSTANTS(:,94))))));
    ALGEBRAIC(:,21) = piecewise({VOI - (CONSTANTS(:,101)+CONSTANTS(:,99)+CONSTANTS(:,100))>=0.00000, 1.00000 }, 0.00000);
    ALGEBRAIC(:,23) = 1.00000+ CONSTANTS(:,98).*( CONSTANTS(:,104).*CONSTANTS(:,105).*(1.00000./(1.00000+exp( 1.00000.* - CONSTANTS(:,102).*(VOI - (CONSTANTS(:,99)+CONSTANTS(:,100)))))).*(1.00000 - ALGEBRAIC(:,21)));
    ALGEBRAIC(:,25) =  CONSTANTS(:,96).*(STATES(:,26)./(STATES(:,26)+CONSTANTS(:,97))).*ALGEBRAIC(:,23);
    RATES(:,16) = (ALGEBRAIC(:,16)+ALGEBRAIC(:,25)) - (ALGEBRAIC(:,17)+ALGEBRAIC(:,19));
    RATES(:,26) = ALGEBRAIC(:,19) - ALGEBRAIC(:,25);
    ALGEBRAIC(:,27) =  CONSTANTS(:,81).*(STATES(:,32)./(STATES(:,32)+CONSTANTS(:,80)) - STATES(:,28)./(STATES(:,28)+CONSTANTS(:,80)));
    RATES(:,28) = ALGEBRAIC(:,27) - ( ALGEBRAIC(:,14).*(1.00000./CONSTANTS(:,4))+ ALGEBRAIC(:,5).*(1.00000./CONSTANTS(:,5)));
    ALGEBRAIC(:,9) =  CONSTANTS(:,43).*(STATES(:,8)./(STATES(:,8)+CONSTANTS(:,44)) - STATES(:,29)./(STATES(:,29)+CONSTANTS(:,44)));
    ALGEBRAIC(:,20) =  CONSTANTS(:,69).*(STATES(:,21)./(STATES(:,21)+CONSTANTS(:,70)) - STATES(:,29)./(STATES(:,29)+CONSTANTS(:,70)));
    ALGEBRAIC(:,28) =  CONSTANTS(:,84).*(STATES(:,29)./(STATES(:,29)+CONSTANTS(:,83)) - STATES(:,33)./(STATES(:,33)+CONSTANTS(:,83)));
    RATES(:,29) = ( ALGEBRAIC(:,9).*(1.00000./CONSTANTS(:,5))+ ALGEBRAIC(:,20).*(1.00000./CONSTANTS(:,4))) - ALGEBRAIC(:,28);
    ALGEBRAIC(:,12) =  (CONSTANTS(:,53)./CONSTANTS(:,54)).*(CONSTANTS(:,52)./CONSTANTS(:,15)).*( (CONSTANTS(:,14)./CONSTANTS(:,15)).*log(CONSTANTS(:,16)./STATES(:,14)) - CONSTANTS(:,12));
    ALGEBRAIC(:,13) =  (CONSTANTS(:,53)./CONSTANTS(:,54)).*CONSTANTS(:,17).*STATES(:,23).*STATES(:,14).*power(1.00000+STATES(:,23)./CONSTANTS(:,18), -1.00000);
    ALGEBRAIC(:,30) =  CONSTANTS(:,90).*(STATES(:,30)./(STATES(:,30)+CONSTANTS(:,86)));
    RATES(:,14) = (ALGEBRAIC(:,12)+ 3.00000.*ALGEBRAIC(:,30)) -  3.00000.*ALGEBRAIC(:,13);
    ALGEBRAIC(:,29) =  CONSTANTS(:,88).*( (STATES(:,27)./(STATES(:,27)+CONSTANTS(:,86))).*(STATES(:,23)./(STATES(:,23)+CONSTANTS(:,89))));
    RATES(:,27) = ALGEBRAIC(:,30) - ALGEBRAIC(:,29);
    ALGEBRAIC(:,11) =  (CONSTANTS(:,49)./CONSTANTS(:,13)).*( CONSTANTS(:,50).*power(CONSTANTS(:,51)./STATES(:,31) - 1.00000, -1.00000./CONSTANTS(:,48)) - STATES(:,12));
    ALGEBRAIC(:,26) =  (CONSTANTS(:,76)./CONSTANTS(:,54)).*( CONSTANTS(:,50).*power(CONSTANTS(:,51)./STATES(:,31) - 1.00000, -1.00000./CONSTANTS(:,77)) - STATES(:,25));
    ALGEBRAIC(:,31) = CONSTANTS(:,106)+( CONSTANTS(:,98).*CONSTANTS(:,106).*CONSTANTS(:,109).*(1.00000./(1.00000+exp( ( 1.00000.* - CONSTANTS(:,108)).*(VOI - ((CONSTANTS(:,99)+CONSTANTS(:,103)) - 3.00000))))) -  CONSTANTS(:,98).*CONSTANTS(:,106).*CONSTANTS(:,109).*(1.00000./(1.00000+exp( ( 1.00000.* - CONSTANTS(:,108)).*(VOI - (CONSTANTS(:,99)+CONSTANTS(:,107)+CONSTANTS(:,103)+3.00000))))));
    ALGEBRAIC(:,34) =  2.00000.*(ALGEBRAIC(:,31)./CONSTANTS(:,78)).*(CONSTANTS(:,9) - STATES(:,31));
    RATES(:,31) = ALGEBRAIC(:,34) - ( ALGEBRAIC(:,11).*(1.00000./CONSTANTS(:,6))+ ALGEBRAIC(:,26).*(1.00000./CONSTANTS(:,7)));
    ALGEBRAIC(:,35) =  2.00000.*(ALGEBRAIC(:,31)./CONSTANTS(:,78)).*(CONSTANTS(:,79) - STATES(:,32));
    RATES(:,32) = ALGEBRAIC(:,35) - ( ALGEBRAIC(:,27).*(1.00000./CONSTANTS(:,8))+ ALGEBRAIC(:,15).*(1.00000./CONSTANTS(:,7)));
    ALGEBRAIC(:,22) =  CONSTANTS(:,71).*(STATES(:,21)./(STATES(:,21)+CONSTANTS(:,72)) - STATES(:,33)./(STATES(:,33)+CONSTANTS(:,72)));
    ALGEBRAIC(:,36) =  2.00000.*(ALGEBRAIC(:,31)./CONSTANTS(:,78)).*(CONSTANTS(:,82) - STATES(:,33));
    RATES(:,33) = ALGEBRAIC(:,36)+( ALGEBRAIC(:,28).*(1.00000./CONSTANTS(:,8))+ ALGEBRAIC(:,22).*(1.00000./CONSTANTS(:,7)));
    ALGEBRAIC(:,37) =  CONSTANTS(:,110).*((power(STATES(:,35)./CONSTANTS(:,111), 2.00000)+ CONSTANTS(:,112).*power(STATES(:,35)./CONSTANTS(:,111), -0.500000).*(ALGEBRAIC(:,31)./CONSTANTS(:,111)))./(1.00000+ CONSTANTS(:,110).*CONSTANTS(:,112).*power(STATES(:,35)./CONSTANTS(:,111), -0.500000).*(1.00000./CONSTANTS(:,111))));
    RATES(:,35) = ALGEBRAIC(:,31) - ALGEBRAIC(:,37);
    RATES(:,36) =  ALGEBRAIC(:,31).*(CONSTANTS(:,9) - STATES(:,31)) -  ALGEBRAIC(:,37).*(STATES(:,36)./STATES(:,35));
    ALGEBRAIC(:,1) =  (CONSTANTS(:,11)./CONSTANTS(:,13)).*(CONSTANTS(:,10)./CONSTANTS(:,15)).*( (CONSTANTS(:,14)./CONSTANTS(:,15)).*log(CONSTANTS(:,16)./STATES(:,1)) - CONSTANTS(:,12));
    ALGEBRAIC(:,4) =  (CONSTANTS(:,11)./CONSTANTS(:,13)).*CONSTANTS(:,17).*STATES(:,10).*STATES(:,1).*power(1.00000+STATES(:,10)./CONSTANTS(:,18), -1.00000);
    ALGEBRAIC(:,32) = piecewise({VOI>=CONSTANTS(:,99)&VOI<=CONSTANTS(:,99)+CONSTANTS(:,107), 1.00000 }, 0.00000);
    ALGEBRAIC(:,38) =  CONSTANTS(:,98).*(CONSTANTS(:,124)+ CONSTANTS(:,125).*((VOI - CONSTANTS(:,99))./CONSTANTS(:,123)).*exp( - ( (VOI - CONSTANTS(:,99)).*(ALGEBRAIC(:,32)./CONSTANTS(:,123))))).*ALGEBRAIC(:,32);
    ALGEBRAIC(:,40) = ALGEBRAIC(:,38);
    RATES(:,1) = (ALGEBRAIC(:,1)+ALGEBRAIC(:,40)) -  3.00000.*ALGEBRAIC(:,4);
    ALGEBRAIC(:,39) = CONSTANTS(:,113) - STATES(:,9);
    ALGEBRAIC(:,41) =  CONSTANTS(:,35).*STATES(:,7).*STATES(:,9) -  CONSTANTS(:,36).*STATES(:,8).*ALGEBRAIC(:,39);
    RATES(:,8) = ALGEBRAIC(:,41) - ALGEBRAIC(:,9);
    ALGEBRAIC(:,43) =  ALGEBRAIC(:,40).*CONSTANTS(:,85).*CONSTANTS(:,87).*(STATES(:,13)./(STATES(:,13)+CONSTANTS(:,86)));
    RATES(:,13) =  ALGEBRAIC(:,29).*(1.00000./CONSTANTS(:,3)) - ALGEBRAIC(:,43);
    RATES(:,30) =  ALGEBRAIC(:,43).*(1.00000./CONSTANTS(:,5)) -  ALGEBRAIC(:,30).*(1.00000./CONSTANTS(:,4));
    ALGEBRAIC(:,42) = CONSTANTS(:,114) - STATES(:,22);
    ALGEBRAIC(:,44) =  CONSTANTS(:,66).*STATES(:,20).*STATES(:,22) -  CONSTANTS(:,67).*STATES(:,21).*ALGEBRAIC(:,42);
    RATES(:,21) = ALGEBRAIC(:,44) - (ALGEBRAIC(:,20)+ALGEBRAIC(:,22));
    ALGEBRAIC(:,47) =  (STATES(:,10)./2.00000).*( - CONSTANTS(:,118)+power((power(CONSTANTS(:,118), 2.00000)+ 4.00000.*CONSTANTS(:,118).*(CONSTANTS(:,117)./STATES(:,10) - 1.00000)), 1.0 ./ 2));
    ALGEBRAIC(:,48) =  CONSTANTS(:,33).*STATES(:,5).*ALGEBRAIC(:,47).*(ALGEBRAIC(:,39)./STATES(:,9));
    RATES(:,5) =  2.00000.*ALGEBRAIC(:,8) - ALGEBRAIC(:,48);
    ALGEBRAIC(:,50) =  CONSTANTS(:,34).*STATES(:,6).*ALGEBRAIC(:,47);
    RATES(:,6) = ALGEBRAIC(:,48) - ALGEBRAIC(:,50);
    ALGEBRAIC(:,51) =  CONSTANTS(:,37).*(STATES(:,12)./(STATES(:,12)+CONSTANTS(:,38))).*(ALGEBRAIC(:,47)./(ALGEBRAIC(:,47)+CONSTANTS(:,39))).*(STATES(:,7)./(STATES(:,7)+CONSTANTS(:,40))).*(1.00000 - 1.00000./(1.00000+exp(  - CONSTANTS(:,42).*( 1.00000.*(STATES(:,10)./ALGEBRAIC(:,47) -  1.00000.*CONSTANTS(:,41))))));
    RATES(:,7) = ALGEBRAIC(:,50) - (ALGEBRAIC(:,41)+ALGEBRAIC(:,51));
    RATES(:,9) = ALGEBRAIC(:,48) - (ALGEBRAIC(:,41)+ALGEBRAIC(:,51));
    RATES(:,12) = ALGEBRAIC(:,11) -  CONSTANTS(:,2).*ALGEBRAIC(:,51);
    ALGEBRAIC(:,45) = CONSTANTS(:,115) - STATES(:,11);
    ALGEBRAIC(:,52) =  CONSTANTS(:,47).*STATES(:,11).*ALGEBRAIC(:,47) -  CONSTANTS(:,46).*ALGEBRAIC(:,45).*STATES(:,10);
    RATES(:,11) =  - ALGEBRAIC(:,52);
    ALGEBRAIC(:,10) =  CONSTANTS(:,45).*(STATES(:,10)./(STATES(:,10)+0.00100000));
    ALGEBRAIC(:,54) = power(CONSTANTS(:,118), 2.00000)+ 4.00000.*CONSTANTS(:,118).*(CONSTANTS(:,117)./STATES(:,10) - 1.00000);
    ALGEBRAIC(:,56) = (CONSTANTS(:,118)./2.00000+ CONSTANTS(:,118).*(CONSTANTS(:,117)./( STATES(:,10).*power(ALGEBRAIC(:,54), 1.0 ./ 2)))) - (1.00000+ 0.500000.*power(ALGEBRAIC(:,54), 1.0 ./ 2));
    RATES(:,10) =  ((ALGEBRAIC(:,48)+ALGEBRAIC(:,50)+ CONSTANTS(:,1).*ALGEBRAIC(:,51)+ALGEBRAIC(:,52)) - (ALGEBRAIC(:,6)+ALGEBRAIC(:,8)+ALGEBRAIC(:,10)+ALGEBRAIC(:,4))).*power(1.00000 - ALGEBRAIC(:,56), -1.00000);
    ALGEBRAIC(:,55) =  (STATES(:,23)./2.00000).*( - CONSTANTS(:,118)+power((power(CONSTANTS(:,118), 2.00000)+ 4.00000.*CONSTANTS(:,118).*(CONSTANTS(:,117)./STATES(:,23) - 1.00000)), 1.0 ./ 2));
    ALGEBRAIC(:,57) =  CONSTANTS(:,64).*STATES(:,18).*ALGEBRAIC(:,55).*(ALGEBRAIC(:,42)./STATES(:,22));
    RATES(:,18) =  2.00000.*ALGEBRAIC(:,18) - ALGEBRAIC(:,57);
    ALGEBRAIC(:,59) =  CONSTANTS(:,65).*STATES(:,19).*ALGEBRAIC(:,55);
    RATES(:,19) = ALGEBRAIC(:,57) - ALGEBRAIC(:,59);
    ALGEBRAIC(:,60) =  CONSTANTS(:,68).*(STATES(:,25)./(STATES(:,25)+CONSTANTS(:,38))).*(ALGEBRAIC(:,55)./(ALGEBRAIC(:,55)+CONSTANTS(:,39))).*(STATES(:,20)./(STATES(:,20)+CONSTANTS(:,40))).*(1.00000 - 1.00000./(1.00000+exp( 1.00000.* - CONSTANTS(:,42).*(STATES(:,23)./ALGEBRAIC(:,55) -  1.00000.*CONSTANTS(:,41)))));
    RATES(:,20) = ALGEBRAIC(:,59) - (ALGEBRAIC(:,44)+ALGEBRAIC(:,60));
    RATES(:,22) = ALGEBRAIC(:,57) - (ALGEBRAIC(:,44)+ALGEBRAIC(:,60));
    RATES(:,25) = ALGEBRAIC(:,26) -  CONSTANTS(:,2).*ALGEBRAIC(:,60);
    ALGEBRAIC(:,46) = CONSTANTS(:,116) - STATES(:,24);
    ALGEBRAIC(:,61) =  CONSTANTS(:,75).*STATES(:,24).*ALGEBRAIC(:,55) -  CONSTANTS(:,74).*ALGEBRAIC(:,46).*STATES(:,23);
    RATES(:,24) =  - ALGEBRAIC(:,61);
    ALGEBRAIC(:,53) =  3.00000.*ALGEBRAIC(:,51);
    ALGEBRAIC(:,33) =  2.00000.*(ALGEBRAIC(:,31)./CONSTANTS(:,78)).*(STATES(:,34) - CONSTANTS(:,91));
    ALGEBRAIC(:,62) =  3.00000.*ALGEBRAIC(:,60);
    RATES(:,34) = ( ALGEBRAIC(:,53).*(1.00000./CONSTANTS(:,6))+ ALGEBRAIC(:,62).*(1.00000./CONSTANTS(:,7))) - ALGEBRAIC(:,33);
    ALGEBRAIC(:,24) =  CONSTANTS(:,73).*(STATES(:,23)./(STATES(:,23)+0.00100000));
    ALGEBRAIC(:,63) = power(CONSTANTS(:,118), 2.00000)+ 4.00000.*CONSTANTS(:,118).*(CONSTANTS(:,117)./STATES(:,23) - 1.00000);
    ALGEBRAIC(:,64) = (CONSTANTS(:,118)./2.00000+ CONSTANTS(:,118).*(CONSTANTS(:,117)./( STATES(:,23).*power(ALGEBRAIC(:,63), 1.0 ./ 2)))) - (1.00000+ 0.500000.*power(ALGEBRAIC(:,63), 1.0 ./ 2));
    RATES(:,23) =  ((ALGEBRAIC(:,57)+ALGEBRAIC(:,59)+ CONSTANTS(:,1).*ALGEBRAIC(:,60)+ALGEBRAIC(:,61)) - (ALGEBRAIC(:,16)+ALGEBRAIC(:,18)+ALGEBRAIC(:,24)+ALGEBRAIC(:,13)+ALGEBRAIC(:,29))).*power(1.00000 - ALGEBRAIC(:,64), -1.00000);
   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) =  CONSTANTS(:,20).*(STATES(:,28)./(STATES(:,28)+CONSTANTS(:,19)) - STATES(:,2)./(STATES(:,2)+CONSTANTS(:,19)));
    ALGEBRAIC(:,6) =  CONSTANTS(:,21).*STATES(:,10).*(STATES(:,2)./(STATES(:,2)+CONSTANTS(:,22))).*(1.00000 - 1.00000./(1.00000+exp(  - CONSTANTS(:,24).*( 1.00000.*(STATES(:,3) - CONSTANTS(:,23))))));
    ALGEBRAIC(:,7) =  CONSTANTS(:,25).*(STATES(:,3)./(STATES(:,3)+CONSTANTS(:,27))) -  CONSTANTS(:,26).*(STATES(:,4)./(STATES(:,4)+CONSTANTS(:,28)));
    ALGEBRAIC(:,8) =  CONSTANTS(:,29).*STATES(:,10).*(STATES(:,4)./(STATES(:,4)+CONSTANTS(:,30))).*power(1.00000+power(STATES(:,10)./CONSTANTS(:,31), CONSTANTS(:,32)), -1.00000);
    ALGEBRAIC(:,15) =  CONSTANTS(:,59).*(STATES(:,32)./(STATES(:,32)+CONSTANTS(:,58)) - STATES(:,15)./(STATES(:,15)+CONSTANTS(:,58)));
    ALGEBRAIC(:,14) =  CONSTANTS(:,57).*CONSTANTS(:,56).*(STATES(:,28)./(STATES(:,28)+CONSTANTS(:,55)) - STATES(:,15)./(STATES(:,15)+CONSTANTS(:,55)));
    ALGEBRAIC(:,16) =  CONSTANTS(:,60).*STATES(:,23).*(STATES(:,15)./(STATES(:,15)+CONSTANTS(:,22))).*(1.00000 - 1.00000./(1.00000+exp(  - CONSTANTS(:,24).*( 1.00000.*(STATES(:,16) - CONSTANTS(:,23))))));
    ALGEBRAIC(:,17) =  CONSTANTS(:,61).*(STATES(:,16)./(STATES(:,16)+CONSTANTS(:,27))) -  CONSTANTS(:,62).*(STATES(:,17)./(STATES(:,17)+CONSTANTS(:,28)));
    ALGEBRAIC(:,18) =  CONSTANTS(:,63).*STATES(:,23).*(STATES(:,17)./(STATES(:,17)+CONSTANTS(:,30))).*power(1.00000+power(STATES(:,23)./CONSTANTS(:,31), CONSTANTS(:,32)), -1.00000);
    ALGEBRAIC(:,19) =  CONSTANTS(:,92).*(STATES(:,16)./(STATES(:,16)+CONSTANTS(:,93))).*(1.00000 - 1.00000./(1.00000+exp(  - CONSTANTS(:,95).*( 1.00000.*(STATES(:,26) - CONSTANTS(:,94))))));
    ALGEBRAIC(:,21) = piecewise({VOI - (CONSTANTS(:,101)+CONSTANTS(:,99)+CONSTANTS(:,100))>=0.00000, 1.00000 }, 0.00000);
    ALGEBRAIC(:,23) = 1.00000+ CONSTANTS(:,98).*( CONSTANTS(:,104).*CONSTANTS(:,105).*(1.00000./(1.00000+exp( 1.00000.* - CONSTANTS(:,102).*(VOI - (CONSTANTS(:,99)+CONSTANTS(:,100)))))).*(1.00000 - ALGEBRAIC(:,21)));
    ALGEBRAIC(:,25) =  CONSTANTS(:,96).*(STATES(:,26)./(STATES(:,26)+CONSTANTS(:,97))).*ALGEBRAIC(:,23);
    ALGEBRAIC(:,27) =  CONSTANTS(:,81).*(STATES(:,32)./(STATES(:,32)+CONSTANTS(:,80)) - STATES(:,28)./(STATES(:,28)+CONSTANTS(:,80)));
    ALGEBRAIC(:,9) =  CONSTANTS(:,43).*(STATES(:,8)./(STATES(:,8)+CONSTANTS(:,44)) - STATES(:,29)./(STATES(:,29)+CONSTANTS(:,44)));
    ALGEBRAIC(:,20) =  CONSTANTS(:,69).*(STATES(:,21)./(STATES(:,21)+CONSTANTS(:,70)) - STATES(:,29)./(STATES(:,29)+CONSTANTS(:,70)));
    ALGEBRAIC(:,28) =  CONSTANTS(:,84).*(STATES(:,29)./(STATES(:,29)+CONSTANTS(:,83)) - STATES(:,33)./(STATES(:,33)+CONSTANTS(:,83)));
    ALGEBRAIC(:,12) =  (CONSTANTS(:,53)./CONSTANTS(:,54)).*(CONSTANTS(:,52)./CONSTANTS(:,15)).*( (CONSTANTS(:,14)./CONSTANTS(:,15)).*log(CONSTANTS(:,16)./STATES(:,14)) - CONSTANTS(:,12));
    ALGEBRAIC(:,13) =  (CONSTANTS(:,53)./CONSTANTS(:,54)).*CONSTANTS(:,17).*STATES(:,23).*STATES(:,14).*power(1.00000+STATES(:,23)./CONSTANTS(:,18), -1.00000);
    ALGEBRAIC(:,30) =  CONSTANTS(:,90).*(STATES(:,30)./(STATES(:,30)+CONSTANTS(:,86)));
    ALGEBRAIC(:,29) =  CONSTANTS(:,88).*( (STATES(:,27)./(STATES(:,27)+CONSTANTS(:,86))).*(STATES(:,23)./(STATES(:,23)+CONSTANTS(:,89))));
    ALGEBRAIC(:,11) =  (CONSTANTS(:,49)./CONSTANTS(:,13)).*( CONSTANTS(:,50).*power(CONSTANTS(:,51)./STATES(:,31) - 1.00000, -1.00000./CONSTANTS(:,48)) - STATES(:,12));
    ALGEBRAIC(:,26) =  (CONSTANTS(:,76)./CONSTANTS(:,54)).*( CONSTANTS(:,50).*power(CONSTANTS(:,51)./STATES(:,31) - 1.00000, -1.00000./CONSTANTS(:,77)) - STATES(:,25));
    ALGEBRAIC(:,31) = CONSTANTS(:,106)+( CONSTANTS(:,98).*CONSTANTS(:,106).*CONSTANTS(:,109).*(1.00000./(1.00000+exp( ( 1.00000.* - CONSTANTS(:,108)).*(VOI - ((CONSTANTS(:,99)+CONSTANTS(:,103)) - 3.00000))))) -  CONSTANTS(:,98).*CONSTANTS(:,106).*CONSTANTS(:,109).*(1.00000./(1.00000+exp( ( 1.00000.* - CONSTANTS(:,108)).*(VOI - (CONSTANTS(:,99)+CONSTANTS(:,107)+CONSTANTS(:,103)+3.00000))))));
    ALGEBRAIC(:,34) =  2.00000.*(ALGEBRAIC(:,31)./CONSTANTS(:,78)).*(CONSTANTS(:,9) - STATES(:,31));
    ALGEBRAIC(:,35) =  2.00000.*(ALGEBRAIC(:,31)./CONSTANTS(:,78)).*(CONSTANTS(:,79) - STATES(:,32));
    ALGEBRAIC(:,22) =  CONSTANTS(:,71).*(STATES(:,21)./(STATES(:,21)+CONSTANTS(:,72)) - STATES(:,33)./(STATES(:,33)+CONSTANTS(:,72)));
    ALGEBRAIC(:,36) =  2.00000.*(ALGEBRAIC(:,31)./CONSTANTS(:,78)).*(CONSTANTS(:,82) - STATES(:,33));
    ALGEBRAIC(:,37) =  CONSTANTS(:,110).*((power(STATES(:,35)./CONSTANTS(:,111), 2.00000)+ CONSTANTS(:,112).*power(STATES(:,35)./CONSTANTS(:,111), -0.500000).*(ALGEBRAIC(:,31)./CONSTANTS(:,111)))./(1.00000+ CONSTANTS(:,110).*CONSTANTS(:,112).*power(STATES(:,35)./CONSTANTS(:,111), -0.500000).*(1.00000./CONSTANTS(:,111))));
    ALGEBRAIC(:,1) =  (CONSTANTS(:,11)./CONSTANTS(:,13)).*(CONSTANTS(:,10)./CONSTANTS(:,15)).*( (CONSTANTS(:,14)./CONSTANTS(:,15)).*log(CONSTANTS(:,16)./STATES(:,1)) - CONSTANTS(:,12));
    ALGEBRAIC(:,4) =  (CONSTANTS(:,11)./CONSTANTS(:,13)).*CONSTANTS(:,17).*STATES(:,10).*STATES(:,1).*power(1.00000+STATES(:,10)./CONSTANTS(:,18), -1.00000);
    ALGEBRAIC(:,32) = piecewise({VOI>=CONSTANTS(:,99)&VOI<=CONSTANTS(:,99)+CONSTANTS(:,107), 1.00000 }, 0.00000);
    ALGEBRAIC(:,38) =  CONSTANTS(:,98).*(CONSTANTS(:,124)+ CONSTANTS(:,125).*((VOI - CONSTANTS(:,99))./CONSTANTS(:,123)).*exp( - ( (VOI - CONSTANTS(:,99)).*(ALGEBRAIC(:,32)./CONSTANTS(:,123))))).*ALGEBRAIC(:,32);
    ALGEBRAIC(:,40) = ALGEBRAIC(:,38);
    ALGEBRAIC(:,39) = CONSTANTS(:,113) - STATES(:,9);
    ALGEBRAIC(:,41) =  CONSTANTS(:,35).*STATES(:,7).*STATES(:,9) -  CONSTANTS(:,36).*STATES(:,8).*ALGEBRAIC(:,39);
    ALGEBRAIC(:,43) =  ALGEBRAIC(:,40).*CONSTANTS(:,85).*CONSTANTS(:,87).*(STATES(:,13)./(STATES(:,13)+CONSTANTS(:,86)));
    ALGEBRAIC(:,42) = CONSTANTS(:,114) - STATES(:,22);
    ALGEBRAIC(:,44) =  CONSTANTS(:,66).*STATES(:,20).*STATES(:,22) -  CONSTANTS(:,67).*STATES(:,21).*ALGEBRAIC(:,42);
    ALGEBRAIC(:,47) =  (STATES(:,10)./2.00000).*( - CONSTANTS(:,118)+power((power(CONSTANTS(:,118), 2.00000)+ 4.00000.*CONSTANTS(:,118).*(CONSTANTS(:,117)./STATES(:,10) - 1.00000)), 1.0 ./ 2));
    ALGEBRAIC(:,48) =  CONSTANTS(:,33).*STATES(:,5).*ALGEBRAIC(:,47).*(ALGEBRAIC(:,39)./STATES(:,9));
    ALGEBRAIC(:,50) =  CONSTANTS(:,34).*STATES(:,6).*ALGEBRAIC(:,47);
    ALGEBRAIC(:,51) =  CONSTANTS(:,37).*(STATES(:,12)./(STATES(:,12)+CONSTANTS(:,38))).*(ALGEBRAIC(:,47)./(ALGEBRAIC(:,47)+CONSTANTS(:,39))).*(STATES(:,7)./(STATES(:,7)+CONSTANTS(:,40))).*(1.00000 - 1.00000./(1.00000+exp(  - CONSTANTS(:,42).*( 1.00000.*(STATES(:,10)./ALGEBRAIC(:,47) -  1.00000.*CONSTANTS(:,41))))));
    ALGEBRAIC(:,45) = CONSTANTS(:,115) - STATES(:,11);
    ALGEBRAIC(:,52) =  CONSTANTS(:,47).*STATES(:,11).*ALGEBRAIC(:,47) -  CONSTANTS(:,46).*ALGEBRAIC(:,45).*STATES(:,10);
    ALGEBRAIC(:,10) =  CONSTANTS(:,45).*(STATES(:,10)./(STATES(:,10)+0.00100000));
    ALGEBRAIC(:,54) = power(CONSTANTS(:,118), 2.00000)+ 4.00000.*CONSTANTS(:,118).*(CONSTANTS(:,117)./STATES(:,10) - 1.00000);
    ALGEBRAIC(:,56) = (CONSTANTS(:,118)./2.00000+ CONSTANTS(:,118).*(CONSTANTS(:,117)./( STATES(:,10).*power(ALGEBRAIC(:,54), 1.0 ./ 2)))) - (1.00000+ 0.500000.*power(ALGEBRAIC(:,54), 1.0 ./ 2));
    ALGEBRAIC(:,55) =  (STATES(:,23)./2.00000).*( - CONSTANTS(:,118)+power((power(CONSTANTS(:,118), 2.00000)+ 4.00000.*CONSTANTS(:,118).*(CONSTANTS(:,117)./STATES(:,23) - 1.00000)), 1.0 ./ 2));
    ALGEBRAIC(:,57) =  CONSTANTS(:,64).*STATES(:,18).*ALGEBRAIC(:,55).*(ALGEBRAIC(:,42)./STATES(:,22));
    ALGEBRAIC(:,59) =  CONSTANTS(:,65).*STATES(:,19).*ALGEBRAIC(:,55);
    ALGEBRAIC(:,60) =  CONSTANTS(:,68).*(STATES(:,25)./(STATES(:,25)+CONSTANTS(:,38))).*(ALGEBRAIC(:,55)./(ALGEBRAIC(:,55)+CONSTANTS(:,39))).*(STATES(:,20)./(STATES(:,20)+CONSTANTS(:,40))).*(1.00000 - 1.00000./(1.00000+exp( 1.00000.* - CONSTANTS(:,42).*(STATES(:,23)./ALGEBRAIC(:,55) -  1.00000.*CONSTANTS(:,41)))));
    ALGEBRAIC(:,46) = CONSTANTS(:,116) - STATES(:,24);
    ALGEBRAIC(:,61) =  CONSTANTS(:,75).*STATES(:,24).*ALGEBRAIC(:,55) -  CONSTANTS(:,74).*ALGEBRAIC(:,46).*STATES(:,23);
    ALGEBRAIC(:,53) =  3.00000.*ALGEBRAIC(:,51);
    ALGEBRAIC(:,33) =  2.00000.*(ALGEBRAIC(:,31)./CONSTANTS(:,78)).*(STATES(:,34) - CONSTANTS(:,91));
    ALGEBRAIC(:,62) =  3.00000.*ALGEBRAIC(:,60);
    ALGEBRAIC(:,24) =  CONSTANTS(:,73).*(STATES(:,23)./(STATES(:,23)+0.00100000));
    ALGEBRAIC(:,63) = power(CONSTANTS(:,118), 2.00000)+ 4.00000.*CONSTANTS(:,118).*(CONSTANTS(:,117)./STATES(:,23) - 1.00000);
    ALGEBRAIC(:,64) = (CONSTANTS(:,118)./2.00000+ CONSTANTS(:,118).*(CONSTANTS(:,117)./( STATES(:,23).*power(ALGEBRAIC(:,63), 1.0 ./ 2)))) - (1.00000+ 0.500000.*power(ALGEBRAIC(:,63), 1.0 ./ 2));
    ALGEBRAIC(:,2) =  CONSTANTS(:,111).*( (CONSTANTS(:,119)+CONSTANTS(:,120)).*(1.00000 - STATES(:,36)./CONSTANTS(:,122)) -  (CONSTANTS(:,120)+CONSTANTS(:,121)).*(1.00000 - STATES(:,35)./CONSTANTS(:,111)));
    ALGEBRAIC(:,3) = piecewise({VOI - (CONSTANTS(:,107)+CONSTANTS(:,99))>=0.00000, 1.00000 }, 0.00000);
    ALGEBRAIC(:,49) = CONSTANTS(:,117) - (STATES(:,10)+ALGEBRAIC(:,47));
    ALGEBRAIC(:,58) = CONSTANTS(:,117) - (STATES(:,23)+ALGEBRAIC(:,55));
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