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 =81;
end
% There are a total of 36 entries in each of the rate and state variable arrays.
% There are a total of 77 entries in the constant variable array.
%

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

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

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

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

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

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

function [LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends()
    LEGEND_STATES = ''; LEGEND_ALGEBRAIC = ''; LEGEND_VOI = ''; LEGEND_CONSTANTS = '';
    LEGEND_VOI = strpad('time in component environment (millisecond)');
    LEGEND_STATES(:,1) = strpad('V in component membrane (millivolt)');
    LEGEND_CONSTANTS(:,1) = strpad('Cm in component membrane (microF_per_cm2)');
    LEGEND_CONSTANTS(:,2) = strpad('Vmyo in component membrane (microlitre)');
    LEGEND_CONSTANTS(:,3) = strpad('VJSR in component membrane (microlitre)');
    LEGEND_CONSTANTS(:,4) = strpad('VNSR in component membrane (microlitre)');
    LEGEND_CONSTANTS(:,5) = strpad('Vss in component membrane (microlitre)');
    LEGEND_CONSTANTS(:,6) = strpad('Acap in component membrane (cm2)');
    LEGEND_CONSTANTS(:,7) = strpad('Ko in component membrane (micromolar)');
    LEGEND_CONSTANTS(:,8) = strpad('Nao in component membrane (micromolar)');
    LEGEND_CONSTANTS(:,9) = strpad('Cao in component membrane (micromolar)');
    LEGEND_CONSTANTS(:,10) = strpad('R in component membrane (joule_per_mole_kelvin)');
    LEGEND_CONSTANTS(:,11) = strpad('T in component membrane (kelvin)');
    LEGEND_CONSTANTS(:,12) = strpad('F in component membrane (coulomb_per_millimole)');
    LEGEND_ALGEBRAIC(:,59) = strpad('i_CaL in component L_type_calcium_current (picoA_per_picoF)');
    LEGEND_ALGEBRAIC(:,60) = strpad('i_pCa in component calcium_pump_current (picoA_per_picoF)');
    LEGEND_ALGEBRAIC(:,61) = strpad('i_NaCa in component sodium_calcium_exchange_current (picoA_per_picoF)');
    LEGEND_ALGEBRAIC(:,65) = strpad('i_Cab in component calcium_background_current (picoA_per_picoF)');
    LEGEND_ALGEBRAIC(:,68) = strpad('i_Na in component fast_sodium_current (picoA_per_picoF)');
    LEGEND_ALGEBRAIC(:,69) = strpad('i_Nab in component sodium_background_current (picoA_per_picoF)');
    LEGEND_ALGEBRAIC(:,79) = strpad('i_NaK in component sodium_potassium_pump_current (picoA_per_picoF)');
    LEGEND_ALGEBRAIC(:,71) = strpad('i_Kto_f in component fast_transient_outward_K_I (picoA_per_picoF)');
    LEGEND_ALGEBRAIC(:,72) = strpad('i_Kto_s in component slow_transient_outward_K_I (picoA_per_picoF)');
    LEGEND_ALGEBRAIC(:,73) = strpad('i_K1 in component time_independent_K_I (picoA_per_picoF)');
    LEGEND_ALGEBRAIC(:,74) = strpad('i_Ks in component slow_delayed_rectifier_K_I (picoA_per_picoF)');
    LEGEND_ALGEBRAIC(:,75) = strpad('i_Kur in component ultra_rapidly_activating_delayed_rectifier_K_I (picoA_per_picoF)');
    LEGEND_ALGEBRAIC(:,76) = strpad('i_Kss in component non_inactivating_steady_state_K_I (picoA_per_picoF)');
    LEGEND_ALGEBRAIC(:,81) = strpad('i_ClCa in component calcium_activated_chloride_current (picoA_per_picoF)');
    LEGEND_ALGEBRAIC(:,77) = strpad('i_Kr in component rapid_delayed_rectifier_K_I (picoA_per_picoF)');
    LEGEND_CONSTANTS(:,13) = strpad('stim_offset in component membrane (millisecond)');
    LEGEND_CONSTANTS(:,14) = strpad('stim_period in component membrane (millisecond)');
    LEGEND_CONSTANTS(:,15) = strpad('stim_duration in component membrane (millisecond)');
    LEGEND_CONSTANTS(:,16) = strpad('stim_amplitude in component membrane (picoA_per_picoF)');
    LEGEND_ALGEBRAIC(:,13) = strpad('i_Stim in component membrane (picoA_per_picoF)');
    LEGEND_ALGEBRAIC(:,1) = strpad('past in component membrane (millisecond)');
    LEGEND_STATES(:,2) = strpad('Cai in component calcium_concentration (micromolar)');
    LEGEND_STATES(:,3) = strpad('Cass in component calcium_concentration (micromolar)');
    LEGEND_STATES(:,4) = strpad('CaJSR in component calcium_concentration (micromolar)');
    LEGEND_STATES(:,5) = strpad('CaNSR in component calcium_concentration (micromolar)');
    LEGEND_ALGEBRAIC(:,27) = strpad('Bi in component calcium_concentration (dimensionless)');
    LEGEND_ALGEBRAIC(:,32) = strpad('Bss in component calcium_concentration (dimensionless)');
    LEGEND_ALGEBRAIC(:,36) = strpad('BJSR in component calcium_concentration (dimensionless)');
    LEGEND_CONSTANTS(:,17) = strpad('Bmax in component calcium_concentration (micromolar)');
    LEGEND_CONSTANTS(:,18) = strpad('CSQN_tot in component calcium_concentration (micromolar)');
    LEGEND_CONSTANTS(:,19) = strpad('Kd in component calcium_concentration (micromolar)');
    LEGEND_CONSTANTS(:,20) = strpad('Km_CSQN in component calcium_concentration (micromolar)');
    LEGEND_ALGEBRAIC(:,45) = strpad('J_leak in component calcium_fluxes (micromolar_per_millisecond)');
    LEGEND_ALGEBRAIC(:,39) = strpad('J_rel in component calcium_fluxes (micromolar_per_millisecond)');
    LEGEND_ALGEBRAIC(:,53) = strpad('J_serca in component calcium_fluxes (micromolar_per_millisecond)');
    LEGEND_ALGEBRAIC(:,41) = strpad('J_tr in component calcium_fluxes (micromolar_per_millisecond)');
    LEGEND_ALGEBRAIC(:,43) = strpad('J_xfer in component calcium_fluxes (micromolar_per_millisecond)');
    LEGEND_STATES(:,6) = strpad('P_RyR in component calcium_fluxes (dimensionless)');
    LEGEND_CONSTANTS(:,21) = strpad('v1 in component calcium_fluxes (per_millisecond)');
    LEGEND_CONSTANTS(:,22) = strpad('tau_tr in component calcium_fluxes (millisecond)');
    LEGEND_CONSTANTS(:,23) = strpad('v2 in component calcium_fluxes (per_millisecond)');
    LEGEND_CONSTANTS(:,24) = strpad('tau_xfer in component calcium_fluxes (millisecond)');
    LEGEND_ALGEBRAIC(:,47) = strpad('CaMKb in component calcium_fluxes (dimensionless)');
    LEGEND_STATES(:,7) = strpad('CaMKt in component calcium_fluxes (dimensionless)');
    LEGEND_ALGEBRAIC(:,49) = strpad('CaMKa in component calcium_fluxes (dimensionless)');
    LEGEND_CONSTANTS(:,25) = strpad('on_rate in component calcium_fluxes (per_millisecond)');
    LEGEND_CONSTANTS(:,26) = strpad('off_rate in component calcium_fluxes (per_millisecond)');
    LEGEND_ALGEBRAIC(:,51) = strpad('vmup in component calcium_fluxes (micromolar_per_millisecond)');
    LEGEND_CONSTANTS(:,27) = strpad('Km_up in component calcium_fluxes (micromolar)');
    LEGEND_CONSTANTS(:,28) = strpad('i_CaL_max in component L_type_calcium_current (picoA_per_picoF)');
    LEGEND_STATES(:,8) = strpad('P_O1 in component ryanodine_receptors (dimensionless)');
    LEGEND_STATES(:,9) = strpad('P_O2 in component ryanodine_receptors (dimensionless)');
    LEGEND_CONSTANTS(:,29) = strpad('vmup_init in component calcium_fluxes (micromolar_per_millisecond)');
    LEGEND_CONSTANTS(:,30) = strpad('P_ryr_const1 in component calcium_fluxes (per_millisecond)');
    LEGEND_CONSTANTS(:,31) = strpad('P_ryr_const2 in component calcium_fluxes (per_millisecond)');
    LEGEND_ALGEBRAIC(:,2) = strpad('P_C1 in component ryanodine_receptors (dimensionless)');
    LEGEND_STATES(:,10) = strpad('P_C2 in component ryanodine_receptors (dimensionless)');
    LEGEND_CONSTANTS(:,32) = strpad('k_plus_a in component ryanodine_receptors (micromolar4_per_millisecond)');
    LEGEND_CONSTANTS(:,33) = strpad('k_minus_a in component ryanodine_receptors (per_millisecond)');
    LEGEND_CONSTANTS(:,34) = strpad('k_plus_b in component ryanodine_receptors (micromolar3_per_millisecond)');
    LEGEND_CONSTANTS(:,35) = strpad('k_minus_b in component ryanodine_receptors (per_millisecond)');
    LEGEND_CONSTANTS(:,36) = strpad('k_plus_c in component ryanodine_receptors (per_millisecond)');
    LEGEND_CONSTANTS(:,37) = strpad('k_minus_c in component ryanodine_receptors (per_millisecond)');
    LEGEND_CONSTANTS(:,38) = strpad('m in component ryanodine_receptors (dimensionless)');
    LEGEND_CONSTANTS(:,39) = strpad('n in component ryanodine_receptors (dimensionless)');
    LEGEND_CONSTANTS(:,40) = strpad('P_CaL in component L_type_calcium_current (per_millisecond)');
    LEGEND_STATES(:,11) = strpad('O in component L_type_calcium_current (dimensionless)');
    LEGEND_ALGEBRAIC(:,37) = strpad('C in component L_type_calcium_current (dimensionless)');
    LEGEND_STATES(:,12) = strpad('I in component L_type_calcium_current (dimensionless)');
    LEGEND_STATES(:,13) = strpad('y_gate in component L_type_calcium_current (dimensionless)');
    LEGEND_ALGEBRAIC(:,3) = strpad('y_gate_inf in component L_type_calcium_current (dimensionless)');
    LEGEND_ALGEBRAIC(:,14) = strpad('y_gate_tau in component L_type_calcium_current (millisecond)');
    LEGEND_ALGEBRAIC(:,15) = strpad('alpha_p in component L_type_calcium_current (per_millisecond)');
    LEGEND_CONSTANTS(:,75) = strpad('alpha_m in component L_type_calcium_current (per_millisecond)');
    LEGEND_ALGEBRAIC(:,28) = strpad('epsilon_p in component L_type_calcium_current (per_micromolar_millisecond)');
    LEGEND_ALGEBRAIC(:,33) = strpad('epsilon_m in component L_type_calcium_current (per_millisecond)');
    LEGEND_CONSTANTS(:,41) = strpad('V_L in component L_type_calcium_current (millivolt)');
    LEGEND_CONSTANTS(:,42) = strpad('delta_V_L in component L_type_calcium_current (millivolt)');
    LEGEND_CONSTANTS(:,43) = strpad('t_L in component L_type_calcium_current (millisecond)');
    LEGEND_CONSTANTS(:,44) = strpad('phi_L in component L_type_calcium_current (dimensionless)');
    LEGEND_CONSTANTS(:,45) = strpad('a in component L_type_calcium_current (dimensionless)');
    LEGEND_CONSTANTS(:,46) = strpad('b in component L_type_calcium_current (dimensionless)');
    LEGEND_CONSTANTS(:,47) = strpad('tau_L in component L_type_calcium_current (millisecond)');
    LEGEND_CONSTANTS(:,48) = strpad('K_L in component L_type_calcium_current (micromolar)');
    LEGEND_ALGEBRAIC(:,4) = strpad('expVL in component L_type_calcium_current (dimensionless)');
    LEGEND_ALGEBRAIC(:,55) = strpad('FVRT in component L_type_calcium_current (dimensionless)');
    LEGEND_ALGEBRAIC(:,57) = strpad('FVRT_Ca in component L_type_calcium_current (dimensionless)');
    LEGEND_CONSTANTS(:,49) = strpad('const5 in component L_type_calcium_current (millivolt)');
    LEGEND_CONSTANTS(:,50) = strpad('i_pCa_max in component calcium_pump_current (picoA_per_picoF)');
    LEGEND_CONSTANTS(:,51) = strpad('Km_pCa in component calcium_pump_current (micromolar)');
    LEGEND_ALGEBRAIC(:,62) = strpad('J_pCa in component calcium_pump_current (micromolar_per_millisecond)');
    LEGEND_ALGEBRAIC(:,64) = strpad('J_ncx in component sodium_calcium_exchange_current (micromolar_per_millisecond)');
    LEGEND_CONSTANTS(:,52) = strpad('k_NaCa in component sodium_calcium_exchange_current (picoA_per_picoF)');
    LEGEND_CONSTANTS(:,53) = strpad('K_mNa in component sodium_calcium_exchange_current (micromolar)');
    LEGEND_CONSTANTS(:,54) = strpad('K_mCa in component sodium_calcium_exchange_current (micromolar)');
    LEGEND_CONSTANTS(:,55) = strpad('k_sat in component sodium_calcium_exchange_current (dimensionless)');
    LEGEND_CONSTANTS(:,56) = strpad('eta in component sodium_calcium_exchange_current (dimensionless)');
    LEGEND_STATES(:,14) = strpad('Nai in component sodium_concentration (micromolar)');
    LEGEND_CONSTANTS(:,57) = strpad('g_Cab in component calcium_background_current (milliS_per_microF)');
    LEGEND_ALGEBRAIC(:,63) = strpad('E_CaN in component calcium_background_current (millivolt)');
    LEGEND_ALGEBRAIC(:,67) = strpad('J_Cab in component calcium_background_current (micromolar_per_millisecond)');
    LEGEND_ALGEBRAIC(:,66) = strpad('E_Na in component fast_sodium_current (millivolt)');
    LEGEND_CONSTANTS(:,58) = strpad('g_Na in component fast_sodium_current (milliS_per_microF)');
    LEGEND_STATES(:,15) = strpad('O_Na in component fast_sodium_current (dimensionless)');
    LEGEND_STATES(:,16) = strpad('C_Na1 in component fast_sodium_current (dimensionless)');
    LEGEND_STATES(:,17) = strpad('C_Na2 in component fast_sodium_current (dimensionless)');
    LEGEND_ALGEBRAIC(:,5) = strpad('C_Na3 in component fast_sodium_current (dimensionless)');
    LEGEND_STATES(:,18) = strpad('I1_Na in component fast_sodium_current (dimensionless)');
    LEGEND_STATES(:,19) = strpad('I2_Na in component fast_sodium_current (dimensionless)');
    LEGEND_STATES(:,20) = strpad('IF_Na in component fast_sodium_current (dimensionless)');
    LEGEND_STATES(:,21) = strpad('IC_Na2 in component fast_sodium_current (dimensionless)');
    LEGEND_STATES(:,22) = strpad('IC_Na3 in component fast_sodium_current (dimensionless)');
    LEGEND_ALGEBRAIC(:,16) = strpad('alpha_Na11 in component fast_sodium_current (per_millisecond)');
    LEGEND_ALGEBRAIC(:,38) = strpad('beta_Na11 in component fast_sodium_current (per_millisecond)');
    LEGEND_ALGEBRAIC(:,29) = strpad('alpha_Na12 in component fast_sodium_current (per_millisecond)');
    LEGEND_ALGEBRAIC(:,40) = strpad('beta_Na12 in component fast_sodium_current (per_millisecond)');
    LEGEND_ALGEBRAIC(:,34) = strpad('alpha_Na13 in component fast_sodium_current (per_millisecond)');
    LEGEND_ALGEBRAIC(:,42) = strpad('beta_Na13 in component fast_sodium_current (per_millisecond)');
    LEGEND_ALGEBRAIC(:,44) = strpad('alpha_Na3 in component fast_sodium_current (per_millisecond)');
    LEGEND_ALGEBRAIC(:,46) = strpad('beta_Na3 in component fast_sodium_current (per_millisecond)');
    LEGEND_ALGEBRAIC(:,48) = strpad('alpha_Na2 in component fast_sodium_current (per_millisecond)');
    LEGEND_ALGEBRAIC(:,50) = strpad('beta_Na2 in component fast_sodium_current (per_millisecond)');
    LEGEND_ALGEBRAIC(:,52) = strpad('alpha_Na4 in component fast_sodium_current (per_millisecond)');
    LEGEND_ALGEBRAIC(:,54) = strpad('beta_Na4 in component fast_sodium_current (per_millisecond)');
    LEGEND_ALGEBRAIC(:,56) = strpad('alpha_Na5 in component fast_sodium_current (per_millisecond)');
    LEGEND_ALGEBRAIC(:,58) = strpad('beta_Na5 in component fast_sodium_current (per_millisecond)');
    LEGEND_STATES(:,23) = strpad('Ki in component potassium_concentration (micromolar)');
    LEGEND_CONSTANTS(:,59) = strpad('g_Nab in component sodium_background_current (milliS_per_microF)');
    LEGEND_ALGEBRAIC(:,70) = strpad('E_K in component fast_transient_outward_K_I (millivolt)');
    LEGEND_CONSTANTS(:,60) = strpad('g_Kto_f in component fast_transient_outward_K_I (milliS_per_microF)');
    LEGEND_STATES(:,24) = strpad('ato_f in component fast_transient_outward_K_I (dimensionless)');
    LEGEND_STATES(:,25) = strpad('ito_f in component fast_transient_outward_K_I (dimensionless)');
    LEGEND_ALGEBRAIC(:,6) = strpad('alpha_a in component fast_transient_outward_K_I (per_millisecond)');
    LEGEND_ALGEBRAIC(:,17) = strpad('beta_a in component fast_transient_outward_K_I (per_millisecond)');
    LEGEND_ALGEBRAIC(:,7) = strpad('alpha_i in component fast_transient_outward_K_I (per_millisecond)');
    LEGEND_ALGEBRAIC(:,18) = strpad('beta_i in component fast_transient_outward_K_I (per_millisecond)');
    LEGEND_ALGEBRAIC(:,8) = strpad('ass in component slow_transient_outward_K_I (dimensionless)');
    LEGEND_ALGEBRAIC(:,9) = strpad('iss in component slow_transient_outward_K_I (dimensionless)');
    LEGEND_CONSTANTS(:,61) = strpad('g_Kto_s in component slow_transient_outward_K_I (milliS_per_microF)');
    LEGEND_STATES(:,26) = strpad('ato_s in component slow_transient_outward_K_I (dimensionless)');
    LEGEND_STATES(:,27) = strpad('ito_s in component slow_transient_outward_K_I (dimensionless)');
    LEGEND_ALGEBRAIC(:,19) = strpad('tau_ta_s in component slow_transient_outward_K_I (millisecond)');
    LEGEND_ALGEBRAIC(:,20) = strpad('tau_ti_s in component slow_transient_outward_K_I (millisecond)');
    LEGEND_CONSTANTS(:,62) = strpad('g_K1 in component time_independent_K_I (milliS_per_microF)');
    LEGEND_CONSTANTS(:,63) = strpad('g_Ks in component slow_delayed_rectifier_K_I (milliS_per_microF)');
    LEGEND_STATES(:,28) = strpad('nKs in component slow_delayed_rectifier_K_I (dimensionless)');
    LEGEND_ALGEBRAIC(:,10) = strpad('alpha_n in component slow_delayed_rectifier_K_I (per_millisecond)');
    LEGEND_ALGEBRAIC(:,21) = strpad('beta_n in component slow_delayed_rectifier_K_I (per_millisecond)');
    LEGEND_CONSTANTS(:,64) = strpad('g_Kur in component ultra_rapidly_activating_delayed_rectifier_K_I (milliS_per_microF)');
    LEGEND_STATES(:,29) = strpad('aur in component ultra_rapidly_activating_delayed_rectifier_K_I (dimensionless)');
    LEGEND_STATES(:,30) = strpad('iur in component ultra_rapidly_activating_delayed_rectifier_K_I (dimensionless)');
    LEGEND_ALGEBRAIC(:,22) = strpad('tau_aur in component ultra_rapidly_activating_delayed_rectifier_K_I (millisecond)');
    LEGEND_ALGEBRAIC(:,23) = strpad('tau_iur in component ultra_rapidly_activating_delayed_rectifier_K_I (millisecond)');
    LEGEND_CONSTANTS(:,65) = strpad('g_Kss in component non_inactivating_steady_state_K_I (milliS_per_microF)');
    LEGEND_STATES(:,31) = strpad('aKss in component non_inactivating_steady_state_K_I (dimensionless)');
    LEGEND_STATES(:,32) = strpad('iKss in component non_inactivating_steady_state_K_I (dimensionless)');
    LEGEND_ALGEBRAIC(:,24) = strpad('tau_Kss in component non_inactivating_steady_state_K_I (millisecond)');
    LEGEND_CONSTANTS(:,66) = strpad('g_Kr in component rapid_delayed_rectifier_K_I (milliS_per_microF)');
    LEGEND_STATES(:,33) = strpad('O_K in component rapid_delayed_rectifier_K_I (dimensionless)');
    LEGEND_STATES(:,34) = strpad('C_K1 in component rapid_delayed_rectifier_K_I (dimensionless)');
    LEGEND_STATES(:,35) = strpad('C_K2 in component rapid_delayed_rectifier_K_I (dimensionless)');
    LEGEND_ALGEBRAIC(:,11) = strpad('C_K0 in component rapid_delayed_rectifier_K_I (dimensionless)');
    LEGEND_STATES(:,36) = strpad('I_K in component rapid_delayed_rectifier_K_I (dimensionless)');
    LEGEND_ALGEBRAIC(:,25) = strpad('alpha_a0 in component rapid_delayed_rectifier_K_I (per_millisecond)');
    LEGEND_ALGEBRAIC(:,30) = strpad('beta_a0 in component rapid_delayed_rectifier_K_I (per_millisecond)');
    LEGEND_CONSTANTS(:,67) = strpad('kb in component rapid_delayed_rectifier_K_I (per_millisecond)');
    LEGEND_CONSTANTS(:,68) = strpad('kf in component rapid_delayed_rectifier_K_I (per_millisecond)');
    LEGEND_ALGEBRAIC(:,12) = strpad('alpha_a1 in component rapid_delayed_rectifier_K_I (per_millisecond)');
    LEGEND_ALGEBRAIC(:,26) = strpad('beta_a1 in component rapid_delayed_rectifier_K_I (per_millisecond)');
    LEGEND_ALGEBRAIC(:,31) = strpad('alpha_i in component rapid_delayed_rectifier_K_I (per_millisecond)');
    LEGEND_ALGEBRAIC(:,35) = strpad('beta_i in component rapid_delayed_rectifier_K_I (per_millisecond)');
    LEGEND_CONSTANTS(:,69) = strpad('i_NaK_max in component sodium_potassium_pump_current (picoA_per_picoF)');
    LEGEND_CONSTANTS(:,70) = strpad('Km_Nai in component sodium_potassium_pump_current (micromolar)');
    LEGEND_CONSTANTS(:,71) = strpad('Km_Ko in component sodium_potassium_pump_current (micromolar)');
    LEGEND_ALGEBRAIC(:,78) = strpad('f_NaK in component sodium_potassium_pump_current (dimensionless)');
    LEGEND_CONSTANTS(:,76) = strpad('sigma in component sodium_potassium_pump_current (dimensionless)');
    LEGEND_CONSTANTS(:,72) = strpad('g_ClCa in component calcium_activated_chloride_current (milliS_per_microF)');
    LEGEND_ALGEBRAIC(:,80) = strpad('O_ClCa in component calcium_activated_chloride_current (dimensionless)');
    LEGEND_CONSTANTS(:,73) = strpad('E_Cl in component calcium_activated_chloride_current (millivolt)');
    LEGEND_CONSTANTS(:,74) = strpad('Km_Cl in component calcium_activated_chloride_current (micromolar)');
    LEGEND_RATES(:,1) = strpad('d/dt V in component membrane (millivolt)');
    LEGEND_RATES(:,2) = strpad('d/dt Cai in component calcium_concentration (micromolar)');
    LEGEND_RATES(:,3) = strpad('d/dt Cass in component calcium_concentration (micromolar)');
    LEGEND_RATES(:,4) = strpad('d/dt CaJSR in component calcium_concentration (micromolar)');
    LEGEND_RATES(:,5) = strpad('d/dt CaNSR in component calcium_concentration (micromolar)');
    LEGEND_RATES(:,7) = strpad('d/dt CaMKt in component calcium_fluxes (dimensionless)');
    LEGEND_RATES(:,6) = strpad('d/dt P_RyR in component calcium_fluxes (dimensionless)');
    LEGEND_RATES(:,8) = strpad('d/dt P_O1 in component ryanodine_receptors (dimensionless)');
    LEGEND_RATES(:,9) = strpad('d/dt P_O2 in component ryanodine_receptors (dimensionless)');
    LEGEND_RATES(:,10) = strpad('d/dt P_C2 in component ryanodine_receptors (dimensionless)');
    LEGEND_RATES(:,11) = strpad('d/dt O in component L_type_calcium_current (dimensionless)');
    LEGEND_RATES(:,12) = strpad('d/dt I in component L_type_calcium_current (dimensionless)');
    LEGEND_RATES(:,13) = strpad('d/dt y_gate in component L_type_calcium_current (dimensionless)');
    LEGEND_RATES(:,14) = strpad('d/dt Nai in component sodium_concentration (micromolar)');
    LEGEND_RATES(:,17) = strpad('d/dt C_Na2 in component fast_sodium_current (dimensionless)');
    LEGEND_RATES(:,16) = strpad('d/dt C_Na1 in component fast_sodium_current (dimensionless)');
    LEGEND_RATES(:,15) = strpad('d/dt O_Na in component fast_sodium_current (dimensionless)');
    LEGEND_RATES(:,20) = strpad('d/dt IF_Na in component fast_sodium_current (dimensionless)');
    LEGEND_RATES(:,18) = strpad('d/dt I1_Na in component fast_sodium_current (dimensionless)');
    LEGEND_RATES(:,19) = strpad('d/dt I2_Na in component fast_sodium_current (dimensionless)');
    LEGEND_RATES(:,21) = strpad('d/dt IC_Na2 in component fast_sodium_current (dimensionless)');
    LEGEND_RATES(:,22) = strpad('d/dt IC_Na3 in component fast_sodium_current (dimensionless)');
    LEGEND_RATES(:,23) = strpad('d/dt Ki in component potassium_concentration (micromolar)');
    LEGEND_RATES(:,24) = strpad('d/dt ato_f in component fast_transient_outward_K_I (dimensionless)');
    LEGEND_RATES(:,25) = strpad('d/dt ito_f in component fast_transient_outward_K_I (dimensionless)');
    LEGEND_RATES(:,26) = strpad('d/dt ato_s in component slow_transient_outward_K_I (dimensionless)');
    LEGEND_RATES(:,27) = strpad('d/dt ito_s in component slow_transient_outward_K_I (dimensionless)');
    LEGEND_RATES(:,28) = strpad('d/dt nKs in component slow_delayed_rectifier_K_I (dimensionless)');
    LEGEND_RATES(:,29) = strpad('d/dt aur in component ultra_rapidly_activating_delayed_rectifier_K_I (dimensionless)');
    LEGEND_RATES(:,30) = strpad('d/dt iur in component ultra_rapidly_activating_delayed_rectifier_K_I (dimensionless)');
    LEGEND_RATES(:,31) = strpad('d/dt aKss in component non_inactivating_steady_state_K_I (dimensionless)');
    LEGEND_RATES(:,32) = strpad('d/dt iKss in component non_inactivating_steady_state_K_I (dimensionless)');
    LEGEND_RATES(:,35) = strpad('d/dt C_K2 in component rapid_delayed_rectifier_K_I (dimensionless)');
    LEGEND_RATES(:,34) = strpad('d/dt C_K1 in component rapid_delayed_rectifier_K_I (dimensionless)');
    LEGEND_RATES(:,33) = strpad('d/dt O_K in component rapid_delayed_rectifier_K_I (dimensionless)');
    LEGEND_RATES(:,36) = strpad('d/dt I_K in component rapid_delayed_rectifier_K_I (dimensionless)');
    LEGEND_STATES  = LEGEND_STATES';
    LEGEND_ALGEBRAIC = LEGEND_ALGEBRAIC';
    LEGEND_RATES = LEGEND_RATES';
    LEGEND_CONSTANTS = LEGEND_CONSTANTS';
end

function [STATES, CONSTANTS] = initConsts()
    VOI = 0; CONSTANTS = []; STATES = []; ALGEBRAIC = [];
    STATES(:,1) = -85.64004;
    CONSTANTS(:,1) = 1;
    CONSTANTS(:,2) = 2.2e-5;
    CONSTANTS(:,3) = 1.022e-7;
    CONSTANTS(:,4) = 1.786e-6;
    CONSTANTS(:,5) = 1.264e-9;
    CONSTANTS(:,6) = 0.00013866;
    CONSTANTS(:,7) = 5400;
    CONSTANTS(:,8) = 134000;
    CONSTANTS(:,9) = 1400;
    CONSTANTS(:,10) = 8.314;
    CONSTANTS(:,11) = 308;
    CONSTANTS(:,12) = 96.5;
    CONSTANTS(:,13) = 100;
    CONSTANTS(:,14) = 333.3333333;
    CONSTANTS(:,15) = 3;
    CONSTANTS(:,16) = -15;
    STATES(:,2) = 0.1040595;
    STATES(:,3) = 0.1043777;
    STATES(:,4) = 730.0589;
    STATES(:,5) = 841.106;
    CONSTANTS(:,17) = 109;
    CONSTANTS(:,18) = 15000;
    CONSTANTS(:,19) = 0.6;
    CONSTANTS(:,20) = 800;
    STATES(:,6) = 2.290355e-9;
    CONSTANTS(:,21) = 4.5;
    CONSTANTS(:,22) = 20;
    CONSTANTS(:,23) = 1e-5;
    CONSTANTS(:,24) = 8;
    STATES(:,7) = 0.08989079;
    CONSTANTS(:,25) = 0.05;
    CONSTANTS(:,26) = 0.00068;
    CONSTANTS(:,27) = 0.412;
    CONSTANTS(:,28) = 4;
    STATES(:,8) = 0.003825599;
    STATES(:,9) = 1.835831e-8;
    CONSTANTS(:,29) = 0.3158;
    CONSTANTS(:,30) = -0.09;
    CONSTANTS(:,31) = -0.225;
    STATES(:,10) = 0.3797679;
    CONSTANTS(:,32) = 0.006075;
    CONSTANTS(:,33) = 0.07125;
    CONSTANTS(:,34) = 0.00405;
    CONSTANTS(:,35) = 0.965;
    CONSTANTS(:,36) = 0.009;
    CONSTANTS(:,37) = 0.0008;
    CONSTANTS(:,38) = 3;
    CONSTANTS(:,39) = 4;
    CONSTANTS(:,40) = 19.1078;
    STATES(:,11) = 4.373318e-6;
    STATES(:,12) = 0.009171979;
    STATES(:,13) = 0.8876797;
    CONSTANTS(:,41) = -2;
    CONSTANTS(:,42) = 7.0671;
    CONSTANTS(:,43) = 1.1683;
    CONSTANTS(:,44) = 1.6411;
    CONSTANTS(:,45) = 0.07;
    CONSTANTS(:,46) = 14;
    CONSTANTS(:,47) = 972.9715;
    CONSTANTS(:,48) = 0.0964;
    CONSTANTS(:,49) = 6.6755;
    CONSTANTS(:,50) = 0.9;
    CONSTANTS(:,51) = 0.4;
    CONSTANTS(:,52) = 772.8991;
    CONSTANTS(:,53) = 86500;
    CONSTANTS(:,54) = 1380;
    CONSTANTS(:,55) = 0.1;
    CONSTANTS(:,56) = 0.35;
    STATES(:,14) = 16522.45;
    CONSTANTS(:,57) = 0.00088;
    CONSTANTS(:,58) = 13;
    STATES(:,15) = 2.639399e-7;
    STATES(:,16) = 0.0001581035;
    STATES(:,17) = 0.01702105;
    STATES(:,18) = 0.00001799179;
    STATES(:,19) = 0.000005460299;
    STATES(:,20) = 0.0000556206;
    STATES(:,21) = 0.005985434;
    STATES(:,22) = 0.2543133;
    STATES(:,23) = 141474;
    CONSTANTS(:,59) = 0.0026;
    CONSTANTS(:,60) = 0.4067;
    STATES(:,24) = 0.001937245;
    STATES(:,25) = 0.9999985;
    CONSTANTS(:,61) = 0;
    STATES(:,26) = 0.02000568;
    STATES(:,27) = 0.9308568;
    CONSTANTS(:,62) = 0.2938;
    CONSTANTS(:,63) = 0.00575;
    STATES(:,28) = 0.002206261;
    CONSTANTS(:,64) = 0.16;
    STATES(:,29) = 0.02000568;
    STATES(:,30) = 0.9822006;
    CONSTANTS(:,65) = 0.05;
    STATES(:,31) = 0.8883113;
    STATES(:,32) = 1;
    CONSTANTS(:,66) = 0.078;
    STATES(:,33) = 0.0004858865;
    STATES(:,34) = 0.0007799137;
    STATES(:,35) = 0.0005301217;
    STATES(:,36) = 0.00007519518;
    CONSTANTS(:,67) = 0.036778;
    CONSTANTS(:,68) = 0.023761;
    CONSTANTS(:,69) = 1.66;
    CONSTANTS(:,70) = 21000;
    CONSTANTS(:,71) = 1500;
    CONSTANTS(:,72) = 10;
    CONSTANTS(:,73) = -40;
    CONSTANTS(:,74) = 10;
    CONSTANTS(:,75) = CONSTANTS(:,44)./CONSTANTS(:,43);
    CONSTANTS(:,76) =  (1.00000./7.00000).*(exp(CONSTANTS(:,8)./67300.0) - 1.00000);
    CONSTANTS(:,76) = 0.00000;
    if (isempty(STATES)), warning('Initial values for states not set');, end
end

function [RATES, ALGEBRAIC] = computeRates(VOI, STATES, CONSTANTS)
    global algebraicVariableCount;
    statesSize = size(STATES);
    statesColumnCount = statesSize(2);
    if ( statesColumnCount == 1)
        STATES = STATES';
        ALGEBRAIC = zeros(1, algebraicVariableCount);
        utilOnes = 1;
    else
        statesRowCount = statesSize(1);
        ALGEBRAIC = zeros(statesRowCount, algebraicVariableCount);
        RATES = zeros(statesRowCount, statesColumnCount);
        utilOnes = ones(statesRowCount, 1);
    end
    RATES(:,32) = CONSTANTS(:,76);
    RATES(:,9) =  CONSTANTS(:,34).*power(STATES(:,3), CONSTANTS(:,38)).*STATES(:,8) -  CONSTANTS(:,35).*STATES(:,9);
    RATES(:,10) =  CONSTANTS(:,36).*STATES(:,8) -  CONSTANTS(:,37).*STATES(:,10);
    ALGEBRAIC(:,2) = 1.00000 - (STATES(:,10)+STATES(:,8)+STATES(:,9));
    RATES(:,8) = ( CONSTANTS(:,32).*power(STATES(:,3), CONSTANTS(:,39)).*ALGEBRAIC(:,2)+ CONSTANTS(:,35).*STATES(:,9)+ CONSTANTS(:,37).*STATES(:,10)) - ( CONSTANTS(:,33).*STATES(:,8)+ CONSTANTS(:,34).*power(STATES(:,3), CONSTANTS(:,38)).*STATES(:,8)+ CONSTANTS(:,36).*STATES(:,8));
    ALGEBRAIC(:,3) = 1.00000./(1.00000+exp((STATES(:,1)+16.6577)./CONSTANTS(:,49)))+0.100000./(1.00000+exp(( - STATES(:,1)+40.0000)./6.00000));
    ALGEBRAIC(:,14) = 20.0000+600.000./(1.00000+exp((STATES(:,1)+30.0000)./9.60000));
    RATES(:,13) = (ALGEBRAIC(:,3) - STATES(:,13))./ALGEBRAIC(:,14);
    ALGEBRAIC(:,6) =  0.180640.*exp( 0.0357700.*(STATES(:,1)+30.0000));
    ALGEBRAIC(:,17) =  0.395600.*exp(  - 0.0623700.*(STATES(:,1)+30.0000));
    RATES(:,24) =  ALGEBRAIC(:,6).*(1.00000 - STATES(:,24)) -  ALGEBRAIC(:,17).*STATES(:,24);
    ALGEBRAIC(:,7) = ( 0.000152000.*exp( - (STATES(:,1)+13.5000)./7.00000))./( 0.00670830.*exp( - (STATES(:,1)+33.5000)./7.00000)+1.00000);
    ALGEBRAIC(:,18) = ( 0.000950000.*exp((STATES(:,1)+33.5000)./7.00000))./( 0.0513350.*exp((STATES(:,1)+33.5000)./7.00000)+1.00000);
    RATES(:,25) =  ALGEBRAIC(:,7).*(1.00000 - STATES(:,25)) -  ALGEBRAIC(:,18).*STATES(:,25);
    ALGEBRAIC(:,8) = 1.00000./(1.00000+exp( - (STATES(:,1)+22.5000)./7.70000));
    ALGEBRAIC(:,19) =  0.493000.*exp(  - 0.0629000.*STATES(:,1))+2.05800;
    RATES(:,26) = (ALGEBRAIC(:,8) - STATES(:,26))./ALGEBRAIC(:,19);
    ALGEBRAIC(:,9) = 1.00000./(1.00000+exp((STATES(:,1)+45.2000)./5.70000));
    ALGEBRAIC(:,20) = 270.000+1050.00./(1.00000+exp((STATES(:,1)+45.2000)./5.70000));
    RATES(:,27) = (ALGEBRAIC(:,9) - STATES(:,27))./ALGEBRAIC(:,20);
    ALGEBRAIC(:,10) = ( 4.81333e-06.*(STATES(:,1)+26.5000))./(1.00000 - exp(  - 0.128000.*(STATES(:,1)+26.5000)));
    ALGEBRAIC(:,21) =  9.53333e-05.*exp(  - 0.0380000.*(STATES(:,1)+26.5000));
    RATES(:,28) =  ALGEBRAIC(:,10).*(1.00000 - STATES(:,28)) -  ALGEBRAIC(:,21).*STATES(:,28);
    ALGEBRAIC(:,22) =  0.493000.*exp(  - 0.0629000.*STATES(:,1))+2.05800;
    RATES(:,29) = (ALGEBRAIC(:,8) - STATES(:,29))./ALGEBRAIC(:,22);
    ALGEBRAIC(:,23) = 1200.00 - 170.000./(1.00000+exp((STATES(:,1)+45.2000)./5.70000));
    RATES(:,30) = (ALGEBRAIC(:,9) - STATES(:,30))./ALGEBRAIC(:,23);
    ALGEBRAIC(:,24) =  39.3000.*exp(  - 0.0862000.*STATES(:,1))+13.1700;
    RATES(:,31) = (ALGEBRAIC(:,8) - STATES(:,31))./ALGEBRAIC(:,24);
    ALGEBRAIC(:,12) =  0.0137330.*exp( 0.0381980.*STATES(:,1));
    ALGEBRAIC(:,26) =  6.89000e-05.*exp(  - 0.0417800.*STATES(:,1));
    RATES(:,35) = ( CONSTANTS(:,68).*STATES(:,34)+ ALGEBRAIC(:,26).*STATES(:,33)) - ( CONSTANTS(:,67).*STATES(:,35)+ ALGEBRAIC(:,12).*STATES(:,35));
    ALGEBRAIC(:,11) = 1.00000 - (STATES(:,34)+STATES(:,35)+STATES(:,33)+STATES(:,36));
    ALGEBRAIC(:,25) =  0.0223480.*exp( 0.0117600.*STATES(:,1));
    ALGEBRAIC(:,30) =  0.0470020.*exp(  - 0.0631000.*STATES(:,1));
    RATES(:,34) = ( ALGEBRAIC(:,25).*ALGEBRAIC(:,11)+ CONSTANTS(:,67).*STATES(:,35)) - ( ALGEBRAIC(:,30).*STATES(:,34)+ CONSTANTS(:,68).*STATES(:,34));
    ALGEBRAIC(:,31) =  0.0908210.*exp( 0.0233910.*(STATES(:,1)+5.00000));
    ALGEBRAIC(:,35) =  0.00649700.*exp(  - 0.0326800.*(STATES(:,1)+5.00000));
    RATES(:,33) = ( ALGEBRAIC(:,12).*STATES(:,35)+ ALGEBRAIC(:,35).*STATES(:,36)) - ( ALGEBRAIC(:,26).*STATES(:,33)+ ALGEBRAIC(:,31).*STATES(:,33));
    RATES(:,36) =  ALGEBRAIC(:,31).*STATES(:,33) -  ALGEBRAIC(:,35).*STATES(:,36);
    ALGEBRAIC(:,37) = (1.00000 - STATES(:,11)) - STATES(:,12);
    ALGEBRAIC(:,4) = exp((STATES(:,1) - CONSTANTS(:,41))./CONSTANTS(:,42));
    ALGEBRAIC(:,15) = ALGEBRAIC(:,4)./( CONSTANTS(:,43).*(ALGEBRAIC(:,4)+1.00000));
    RATES(:,11) =  ALGEBRAIC(:,15).*ALGEBRAIC(:,37) -  CONSTANTS(:,75).*STATES(:,11);
    ALGEBRAIC(:,28) = (ALGEBRAIC(:,4)+CONSTANTS(:,45))./( CONSTANTS(:,47).*CONSTANTS(:,48).*(ALGEBRAIC(:,4)+1.00000));
    ALGEBRAIC(:,33) = ( CONSTANTS(:,46).*(ALGEBRAIC(:,4)+CONSTANTS(:,45)))./( CONSTANTS(:,47).*( CONSTANTS(:,46).*ALGEBRAIC(:,4)+CONSTANTS(:,45)));
    RATES(:,12) =  ALGEBRAIC(:,28).*STATES(:,3).*ALGEBRAIC(:,37) -  ALGEBRAIC(:,33).*STATES(:,12);
    ALGEBRAIC(:,36) = power(1.00000+( CONSTANTS(:,18).*CONSTANTS(:,20))./power(CONSTANTS(:,20)+STATES(:,4), 2.00000),  - 1.00000);
    ALGEBRAIC(:,39) =  CONSTANTS(:,21).*(STATES(:,8)+STATES(:,9)).*(STATES(:,4) - STATES(:,3)).*STATES(:,6);
    ALGEBRAIC(:,41) = (STATES(:,5) - STATES(:,4))./CONSTANTS(:,22);
    RATES(:,4) =  ALGEBRAIC(:,36).*(ALGEBRAIC(:,41) - ALGEBRAIC(:,39));
    ALGEBRAIC(:,5) = 1.00000 - (STATES(:,15)+STATES(:,16)+STATES(:,17)+STATES(:,20)+STATES(:,18)+STATES(:,19)+STATES(:,21)+STATES(:,22));
    ALGEBRAIC(:,16) = 3.80200./( 0.102700.*exp( - (STATES(:,1)+2.50000)./17.0000)+ 0.200000.*exp( - (STATES(:,1)+2.50000)./150.000));
    ALGEBRAIC(:,38) =  0.191700.*exp( - (STATES(:,1)+2.50000)./20.3000);
    ALGEBRAIC(:,29) = 3.80200./( 0.102700.*exp( - (STATES(:,1)+2.50000)./15.0000)+ 0.230000.*exp( - (STATES(:,1)+2.50000)./150.000));
    ALGEBRAIC(:,40) =  0.200000.*exp( - (STATES(:,1) - 2.50000)./20.3000);
    ALGEBRAIC(:,44) =  7.00000e-07.*exp( - (STATES(:,1)+7.00000)./7.70000);
    ALGEBRAIC(:,46) = 0.00840000+ 2.00000e-05.*(STATES(:,1)+7.00000);
    RATES(:,17) = ( ALGEBRAIC(:,16).*ALGEBRAIC(:,5)+ ALGEBRAIC(:,40).*STATES(:,16)+ ALGEBRAIC(:,44).*STATES(:,21)) - ( ALGEBRAIC(:,38).*STATES(:,17)+ ALGEBRAIC(:,29).*STATES(:,17)+ ALGEBRAIC(:,46).*STATES(:,17));
    ALGEBRAIC(:,34) = 3.80200./( 0.102700.*exp( - (STATES(:,1)+2.50000)./12.0000)+ 0.250000.*exp( - (STATES(:,1)+2.50000)./150.000));
    ALGEBRAIC(:,42) =  0.220000.*exp( - (STATES(:,1) - 7.50000)./20.3000);
    RATES(:,16) = ( ALGEBRAIC(:,29).*STATES(:,17)+ ALGEBRAIC(:,42).*STATES(:,15)+ ALGEBRAIC(:,44).*STATES(:,20)) - ( ALGEBRAIC(:,40).*STATES(:,16)+ ALGEBRAIC(:,34).*STATES(:,16)+ ALGEBRAIC(:,46).*STATES(:,16));
    RATES(:,21) = ( ALGEBRAIC(:,16).*STATES(:,22)+ ALGEBRAIC(:,40).*STATES(:,20)+ ALGEBRAIC(:,46).*STATES(:,21)) - ( ALGEBRAIC(:,38).*STATES(:,21)+ ALGEBRAIC(:,29).*STATES(:,21)+ ALGEBRAIC(:,44).*STATES(:,21));
    RATES(:,22) = ( ALGEBRAIC(:,38).*STATES(:,21)+ ALGEBRAIC(:,46).*ALGEBRAIC(:,5)) - ( ALGEBRAIC(:,16).*STATES(:,22)+ ALGEBRAIC(:,44).*STATES(:,22));
    ALGEBRAIC(:,47) = ( 0.0500000.*(1.00000 - STATES(:,7)).*1.00000)./(1.00000+0.700000./STATES(:,3));
    RATES(:,7) =  CONSTANTS(:,25).*ALGEBRAIC(:,47).*(ALGEBRAIC(:,47)+STATES(:,7)) -  CONSTANTS(:,26).*STATES(:,7);
    ALGEBRAIC(:,48) = 1.00000./( 0.188495.*exp( - (STATES(:,1)+7.00000)./16.6000)+0.393956);
    ALGEBRAIC(:,50) = ( ALGEBRAIC(:,34).*ALGEBRAIC(:,48).*ALGEBRAIC(:,44))./( ALGEBRAIC(:,42).*ALGEBRAIC(:,46));
    RATES(:,15) = ( ALGEBRAIC(:,34).*STATES(:,16)+ ALGEBRAIC(:,50).*STATES(:,20)) - ( ALGEBRAIC(:,42).*STATES(:,15)+ ALGEBRAIC(:,48).*STATES(:,15));
    ALGEBRAIC(:,45) =  CONSTANTS(:,23).*(STATES(:,5) - STATES(:,2));
    ALGEBRAIC(:,49) = ALGEBRAIC(:,47)+STATES(:,7);
    ALGEBRAIC(:,51) =  (( 3.15120.*power(ALGEBRAIC(:,49), 2.20620))./(power(0.158800, 2.20620)+power(ALGEBRAIC(:,49), 2.20620))+1.00000).*CONSTANTS(:,29);
    ALGEBRAIC(:,53) = ( ALGEBRAIC(:,51).*power(STATES(:,2), 2.00000))./(power(CONSTANTS(:,27), 2.00000)+power(STATES(:,2), 2.00000));
    RATES(:,5) = ( (ALGEBRAIC(:,53) - ALGEBRAIC(:,45)).*CONSTANTS(:,2))./CONSTANTS(:,4) - ( ALGEBRAIC(:,41).*CONSTANTS(:,3))./CONSTANTS(:,4);
    ALGEBRAIC(:,52) = ALGEBRAIC(:,48)./1000.00;
    ALGEBRAIC(:,54) = ALGEBRAIC(:,44);
    RATES(:,20) = ( ALGEBRAIC(:,48).*STATES(:,15)+ ALGEBRAIC(:,46).*STATES(:,16)+ ALGEBRAIC(:,54).*STATES(:,18)+ ALGEBRAIC(:,29).*STATES(:,21)) - ( ALGEBRAIC(:,50).*STATES(:,20)+ ALGEBRAIC(:,44).*STATES(:,20)+ ALGEBRAIC(:,52).*STATES(:,20)+ ALGEBRAIC(:,40).*STATES(:,20));
    ALGEBRAIC(:,56) = ALGEBRAIC(:,48)./95000.0;
    ALGEBRAIC(:,58) = ALGEBRAIC(:,44)./50.0000;
    RATES(:,18) = ( ALGEBRAIC(:,52).*STATES(:,20)+ ALGEBRAIC(:,58).*STATES(:,19)) - ( ALGEBRAIC(:,54).*STATES(:,18)+ ALGEBRAIC(:,56).*STATES(:,18));
    RATES(:,19) =  ALGEBRAIC(:,56).*STATES(:,18) -  ALGEBRAIC(:,58).*STATES(:,19);
    ALGEBRAIC(:,55) = ( CONSTANTS(:,12).*STATES(:,1))./( CONSTANTS(:,10).*CONSTANTS(:,11));
    ALGEBRAIC(:,57) =  2.00000.*ALGEBRAIC(:,55);
    ALGEBRAIC(:,59) = piecewise({abs(ALGEBRAIC(:,57))>1.00000e-05,  (( ((  - CONSTANTS(:,40).*2.00000.*CONSTANTS(:,5).*CONSTANTS(:,12))./( CONSTANTS(:,6).*CONSTANTS(:,1))).*STATES(:,11).*STATES(:,13).*ALGEBRAIC(:,57))./(1.00000 - exp( - ALGEBRAIC(:,57)))).*( CONSTANTS(:,9).*exp( - ALGEBRAIC(:,57)) - STATES(:,3)) },  (( ((  - CONSTANTS(:,40).*2.00000.*CONSTANTS(:,5).*CONSTANTS(:,12))./( CONSTANTS(:,6).*CONSTANTS(:,1))).*STATES(:,11).*STATES(:,13).*1.00000e-05)./(1.00000 - exp( - 1.00000e-05))).*( CONSTANTS(:,9).*exp( - 1.00000e-05) - STATES(:,3)));
    ALGEBRAIC(:,32) = power(1.00000+( CONSTANTS(:,17).*CONSTANTS(:,19))./power(CONSTANTS(:,19)+STATES(:,3), 2.00000),  - 1.00000);
    ALGEBRAIC(:,43) = (STATES(:,3) - STATES(:,2))./CONSTANTS(:,24);
    RATES(:,3) =  ALGEBRAIC(:,32).*(( ALGEBRAIC(:,39).*CONSTANTS(:,3))./CONSTANTS(:,5) - (( ALGEBRAIC(:,43).*CONSTANTS(:,2))./CONSTANTS(:,5)+( ALGEBRAIC(:,59).*CONSTANTS(:,6).*CONSTANTS(:,1))./( 2.00000.*CONSTANTS(:,5).*CONSTANTS(:,12))));
    RATES(:,6) =  CONSTANTS(:,30).*STATES(:,6)+ (( CONSTANTS(:,31).*ALGEBRAIC(:,59))./CONSTANTS(:,28)).*exp( - power(STATES(:,1) - 5.00000, 2.00000)./648.000);
    ALGEBRAIC(:,60) = ( CONSTANTS(:,50).*power(STATES(:,2), 2.00000))./(power(CONSTANTS(:,51), 2.00000)+power(STATES(:,2), 2.00000));
    ALGEBRAIC(:,61) =  (( (( (( CONSTANTS(:,52).*1.00000)./(power(CONSTANTS(:,53), 3.00000)+power(CONSTANTS(:,8), 3.00000))).*1.00000)./(CONSTANTS(:,54)+CONSTANTS(:,9))).*1.00000)./(1.00000+ CONSTANTS(:,55).*exp(( (CONSTANTS(:,56) - 1.00000).*STATES(:,1).*CONSTANTS(:,12))./( CONSTANTS(:,10).*CONSTANTS(:,11))))).*( exp(( CONSTANTS(:,56).*STATES(:,1).*CONSTANTS(:,12))./( CONSTANTS(:,10).*CONSTANTS(:,11))).*power(STATES(:,14), 3.00000).*CONSTANTS(:,9) -  exp(( (CONSTANTS(:,56) - 1.00000).*STATES(:,1).*CONSTANTS(:,12))./( CONSTANTS(:,10).*CONSTANTS(:,11))).*power(CONSTANTS(:,8), 3.00000).*STATES(:,2));
    ALGEBRAIC(:,63) =  (( CONSTANTS(:,10).*CONSTANTS(:,11))./( 2.00000.*CONSTANTS(:,12))).*log(CONSTANTS(:,9)./STATES(:,2));
    ALGEBRAIC(:,65) =  CONSTANTS(:,57).*(STATES(:,1) - ALGEBRAIC(:,63));
    ALGEBRAIC(:,27) = power(1.00000+( CONSTANTS(:,17).*CONSTANTS(:,19))./power(CONSTANTS(:,19)+STATES(:,2), 2.00000),  - 1.00000);
    RATES(:,2) =  ALGEBRAIC(:,27).*(((ALGEBRAIC(:,45)+ALGEBRAIC(:,43)) - ( ((ALGEBRAIC(:,65)+ALGEBRAIC(:,60)) -  2.00000.*ALGEBRAIC(:,61)).*CONSTANTS(:,6).*CONSTANTS(:,1))./( 2.00000.*CONSTANTS(:,2).*CONSTANTS(:,12))) - ALGEBRAIC(:,53));
    ALGEBRAIC(:,66) =  (( CONSTANTS(:,10).*CONSTANTS(:,11))./CONSTANTS(:,12)).*log(( 0.900000.*CONSTANTS(:,8)+ 0.100000.*CONSTANTS(:,7))./( 0.900000.*STATES(:,14)+ 0.100000.*STATES(:,23)));
    ALGEBRAIC(:,68) =  CONSTANTS(:,58).*STATES(:,15).*(STATES(:,1) - ALGEBRAIC(:,66));
    ALGEBRAIC(:,69) =  CONSTANTS(:,59).*(STATES(:,1) - ALGEBRAIC(:,66));
    ALGEBRAIC(:,78) = 1.00000./(1.00000+ 0.124500.*exp((  - 0.100000.*STATES(:,1).*CONSTANTS(:,12))./( CONSTANTS(:,10).*CONSTANTS(:,11)))+ 0.0365000.*CONSTANTS(:,76).*exp((  - STATES(:,1).*CONSTANTS(:,12))./( CONSTANTS(:,10).*CONSTANTS(:,11))));
    ALGEBRAIC(:,79) = ( (( CONSTANTS(:,69).*ALGEBRAIC(:,78).*1.00000)./(1.00000+power(CONSTANTS(:,70)./STATES(:,14), 1.50000))).*CONSTANTS(:,7))./(CONSTANTS(:,7)+CONSTANTS(:,71));
    RATES(:,14) = (  - (ALGEBRAIC(:,68)+ALGEBRAIC(:,69)+ 3.00000.*ALGEBRAIC(:,79)+ 3.00000.*ALGEBRAIC(:,61)).*CONSTANTS(:,6).*CONSTANTS(:,1))./( CONSTANTS(:,2).*CONSTANTS(:,12));
    ALGEBRAIC(:,70) =  (( CONSTANTS(:,10).*CONSTANTS(:,11))./CONSTANTS(:,12)).*log(CONSTANTS(:,7)./STATES(:,23));
    ALGEBRAIC(:,71) =  CONSTANTS(:,60).*power(STATES(:,24), 3.00000).*STATES(:,25).*(STATES(:,1) - ALGEBRAIC(:,70));
    ALGEBRAIC(:,72) =  CONSTANTS(:,61).*STATES(:,26).*STATES(:,27).*(STATES(:,1) - ALGEBRAIC(:,70));
    ALGEBRAIC(:,73) = ( (( CONSTANTS(:,62).*CONSTANTS(:,7))./(CONSTANTS(:,7)+210.000)).*(STATES(:,1) - ALGEBRAIC(:,70)))./(1.00000+exp( 0.0896000.*(STATES(:,1) - ALGEBRAIC(:,70))));
    ALGEBRAIC(:,74) =  CONSTANTS(:,63).*power(STATES(:,28), 2.00000).*(STATES(:,1) - ALGEBRAIC(:,70));
    ALGEBRAIC(:,75) =  CONSTANTS(:,64).*STATES(:,29).*STATES(:,30).*(STATES(:,1) - ALGEBRAIC(:,70));
    ALGEBRAIC(:,76) =  CONSTANTS(:,65).*STATES(:,31).*STATES(:,32).*(STATES(:,1) - ALGEBRAIC(:,70));
    ALGEBRAIC(:,77) =  CONSTANTS(:,66).*STATES(:,33).*(STATES(:,1) -  (( CONSTANTS(:,10).*CONSTANTS(:,11))./CONSTANTS(:,12)).*log(( 0.980000.*CONSTANTS(:,7)+ 0.0200000.*CONSTANTS(:,8))./( 0.980000.*STATES(:,23)+ 0.0200000.*STATES(:,14))));
    ALGEBRAIC(:,1) =  floor(VOI./CONSTANTS(:,14)).*CONSTANTS(:,14);
    ALGEBRAIC(:,13) = piecewise({VOI - ALGEBRAIC(:,1)>=CONSTANTS(:,13)&VOI - ALGEBRAIC(:,1)<=CONSTANTS(:,13)+CONSTANTS(:,15), CONSTANTS(:,16) }, 0.00000);
    RATES(:,23) = (  - ((ALGEBRAIC(:,13)+ALGEBRAIC(:,71)+ALGEBRAIC(:,72)+ALGEBRAIC(:,73)+ALGEBRAIC(:,74)+ALGEBRAIC(:,76)+ALGEBRAIC(:,75)+ALGEBRAIC(:,77)) -  2.00000.*ALGEBRAIC(:,79)).*CONSTANTS(:,6).*CONSTANTS(:,1))./( CONSTANTS(:,2).*CONSTANTS(:,12));
    ALGEBRAIC(:,80) = 0.200000./(1.00000+exp( - (STATES(:,1) - 46.7000)./7.80000));
    ALGEBRAIC(:,81) =  (( CONSTANTS(:,72).*ALGEBRAIC(:,80).*STATES(:,2))./(STATES(:,2)+CONSTANTS(:,74))).*(STATES(:,1) - CONSTANTS(:,73));
    RATES(:,1) =  - (ALGEBRAIC(:,59)+ALGEBRAIC(:,60)+ALGEBRAIC(:,61)+ALGEBRAIC(:,65)+ALGEBRAIC(:,68)+ALGEBRAIC(:,69)+ALGEBRAIC(:,79)+ALGEBRAIC(:,71)+ALGEBRAIC(:,72)+ALGEBRAIC(:,73)+ALGEBRAIC(:,74)+ALGEBRAIC(:,75)+ALGEBRAIC(:,76)+ALGEBRAIC(:,77)+ALGEBRAIC(:,81)+ALGEBRAIC(:,13));
   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(:,2) = 1.00000 - (STATES(:,10)+STATES(:,8)+STATES(:,9));
    ALGEBRAIC(:,3) = 1.00000./(1.00000+exp((STATES(:,1)+16.6577)./CONSTANTS(:,49)))+0.100000./(1.00000+exp(( - STATES(:,1)+40.0000)./6.00000));
    ALGEBRAIC(:,14) = 20.0000+600.000./(1.00000+exp((STATES(:,1)+30.0000)./9.60000));
    ALGEBRAIC(:,6) =  0.180640.*exp( 0.0357700.*(STATES(:,1)+30.0000));
    ALGEBRAIC(:,17) =  0.395600.*exp(  - 0.0623700.*(STATES(:,1)+30.0000));
    ALGEBRAIC(:,7) = ( 0.000152000.*exp( - (STATES(:,1)+13.5000)./7.00000))./( 0.00670830.*exp( - (STATES(:,1)+33.5000)./7.00000)+1.00000);
    ALGEBRAIC(:,18) = ( 0.000950000.*exp((STATES(:,1)+33.5000)./7.00000))./( 0.0513350.*exp((STATES(:,1)+33.5000)./7.00000)+1.00000);
    ALGEBRAIC(:,8) = 1.00000./(1.00000+exp( - (STATES(:,1)+22.5000)./7.70000));
    ALGEBRAIC(:,19) =  0.493000.*exp(  - 0.0629000.*STATES(:,1))+2.05800;
    ALGEBRAIC(:,9) = 1.00000./(1.00000+exp((STATES(:,1)+45.2000)./5.70000));
    ALGEBRAIC(:,20) = 270.000+1050.00./(1.00000+exp((STATES(:,1)+45.2000)./5.70000));
    ALGEBRAIC(:,10) = ( 4.81333e-06.*(STATES(:,1)+26.5000))./(1.00000 - exp(  - 0.128000.*(STATES(:,1)+26.5000)));
    ALGEBRAIC(:,21) =  9.53333e-05.*exp(  - 0.0380000.*(STATES(:,1)+26.5000));
    ALGEBRAIC(:,22) =  0.493000.*exp(  - 0.0629000.*STATES(:,1))+2.05800;
    ALGEBRAIC(:,23) = 1200.00 - 170.000./(1.00000+exp((STATES(:,1)+45.2000)./5.70000));
    ALGEBRAIC(:,24) =  39.3000.*exp(  - 0.0862000.*STATES(:,1))+13.1700;
    ALGEBRAIC(:,12) =  0.0137330.*exp( 0.0381980.*STATES(:,1));
    ALGEBRAIC(:,26) =  6.89000e-05.*exp(  - 0.0417800.*STATES(:,1));
    ALGEBRAIC(:,11) = 1.00000 - (STATES(:,34)+STATES(:,35)+STATES(:,33)+STATES(:,36));
    ALGEBRAIC(:,25) =  0.0223480.*exp( 0.0117600.*STATES(:,1));
    ALGEBRAIC(:,30) =  0.0470020.*exp(  - 0.0631000.*STATES(:,1));
    ALGEBRAIC(:,31) =  0.0908210.*exp( 0.0233910.*(STATES(:,1)+5.00000));
    ALGEBRAIC(:,35) =  0.00649700.*exp(  - 0.0326800.*(STATES(:,1)+5.00000));
    ALGEBRAIC(:,37) = (1.00000 - STATES(:,11)) - STATES(:,12);
    ALGEBRAIC(:,4) = exp((STATES(:,1) - CONSTANTS(:,41))./CONSTANTS(:,42));
    ALGEBRAIC(:,15) = ALGEBRAIC(:,4)./( CONSTANTS(:,43).*(ALGEBRAIC(:,4)+1.00000));
    ALGEBRAIC(:,28) = (ALGEBRAIC(:,4)+CONSTANTS(:,45))./( CONSTANTS(:,47).*CONSTANTS(:,48).*(ALGEBRAIC(:,4)+1.00000));
    ALGEBRAIC(:,33) = ( CONSTANTS(:,46).*(ALGEBRAIC(:,4)+CONSTANTS(:,45)))./( CONSTANTS(:,47).*( CONSTANTS(:,46).*ALGEBRAIC(:,4)+CONSTANTS(:,45)));
    ALGEBRAIC(:,36) = power(1.00000+( CONSTANTS(:,18).*CONSTANTS(:,20))./power(CONSTANTS(:,20)+STATES(:,4), 2.00000),  - 1.00000);
    ALGEBRAIC(:,39) =  CONSTANTS(:,21).*(STATES(:,8)+STATES(:,9)).*(STATES(:,4) - STATES(:,3)).*STATES(:,6);
    ALGEBRAIC(:,41) = (STATES(:,5) - STATES(:,4))./CONSTANTS(:,22);
    ALGEBRAIC(:,5) = 1.00000 - (STATES(:,15)+STATES(:,16)+STATES(:,17)+STATES(:,20)+STATES(:,18)+STATES(:,19)+STATES(:,21)+STATES(:,22));
    ALGEBRAIC(:,16) = 3.80200./( 0.102700.*exp( - (STATES(:,1)+2.50000)./17.0000)+ 0.200000.*exp( - (STATES(:,1)+2.50000)./150.000));
    ALGEBRAIC(:,38) =  0.191700.*exp( - (STATES(:,1)+2.50000)./20.3000);
    ALGEBRAIC(:,29) = 3.80200./( 0.102700.*exp( - (STATES(:,1)+2.50000)./15.0000)+ 0.230000.*exp( - (STATES(:,1)+2.50000)./150.000));
    ALGEBRAIC(:,40) =  0.200000.*exp( - (STATES(:,1) - 2.50000)./20.3000);
    ALGEBRAIC(:,44) =  7.00000e-07.*exp( - (STATES(:,1)+7.00000)./7.70000);
    ALGEBRAIC(:,46) = 0.00840000+ 2.00000e-05.*(STATES(:,1)+7.00000);
    ALGEBRAIC(:,34) = 3.80200./( 0.102700.*exp( - (STATES(:,1)+2.50000)./12.0000)+ 0.250000.*exp( - (STATES(:,1)+2.50000)./150.000));
    ALGEBRAIC(:,42) =  0.220000.*exp( - (STATES(:,1) - 7.50000)./20.3000);
    ALGEBRAIC(:,47) = ( 0.0500000.*(1.00000 - STATES(:,7)).*1.00000)./(1.00000+0.700000./STATES(:,3));
    ALGEBRAIC(:,48) = 1.00000./( 0.188495.*exp( - (STATES(:,1)+7.00000)./16.6000)+0.393956);
    ALGEBRAIC(:,50) = ( ALGEBRAIC(:,34).*ALGEBRAIC(:,48).*ALGEBRAIC(:,44))./( ALGEBRAIC(:,42).*ALGEBRAIC(:,46));
    ALGEBRAIC(:,45) =  CONSTANTS(:,23).*(STATES(:,5) - STATES(:,2));
    ALGEBRAIC(:,49) = ALGEBRAIC(:,47)+STATES(:,7);
    ALGEBRAIC(:,51) =  (( 3.15120.*power(ALGEBRAIC(:,49), 2.20620))./(power(0.158800, 2.20620)+power(ALGEBRAIC(:,49), 2.20620))+1.00000).*CONSTANTS(:,29);
    ALGEBRAIC(:,53) = ( ALGEBRAIC(:,51).*power(STATES(:,2), 2.00000))./(power(CONSTANTS(:,27), 2.00000)+power(STATES(:,2), 2.00000));
    ALGEBRAIC(:,52) = ALGEBRAIC(:,48)./1000.00;
    ALGEBRAIC(:,54) = ALGEBRAIC(:,44);
    ALGEBRAIC(:,56) = ALGEBRAIC(:,48)./95000.0;
    ALGEBRAIC(:,58) = ALGEBRAIC(:,44)./50.0000;
    ALGEBRAIC(:,55) = ( CONSTANTS(:,12).*STATES(:,1))./( CONSTANTS(:,10).*CONSTANTS(:,11));
    ALGEBRAIC(:,57) =  2.00000.*ALGEBRAIC(:,55);
    ALGEBRAIC(:,59) = piecewise({abs(ALGEBRAIC(:,57))>1.00000e-05,  (( ((  - CONSTANTS(:,40).*2.00000.*CONSTANTS(:,5).*CONSTANTS(:,12))./( CONSTANTS(:,6).*CONSTANTS(:,1))).*STATES(:,11).*STATES(:,13).*ALGEBRAIC(:,57))./(1.00000 - exp( - ALGEBRAIC(:,57)))).*( CONSTANTS(:,9).*exp( - ALGEBRAIC(:,57)) - STATES(:,3)) },  (( ((  - CONSTANTS(:,40).*2.00000.*CONSTANTS(:,5).*CONSTANTS(:,12))./( CONSTANTS(:,6).*CONSTANTS(:,1))).*STATES(:,11).*STATES(:,13).*1.00000e-05)./(1.00000 - exp( - 1.00000e-05))).*( CONSTANTS(:,9).*exp( - 1.00000e-05) - STATES(:,3)));
    ALGEBRAIC(:,32) = power(1.00000+( CONSTANTS(:,17).*CONSTANTS(:,19))./power(CONSTANTS(:,19)+STATES(:,3), 2.00000),  - 1.00000);
    ALGEBRAIC(:,43) = (STATES(:,3) - STATES(:,2))./CONSTANTS(:,24);
    ALGEBRAIC(:,60) = ( CONSTANTS(:,50).*power(STATES(:,2), 2.00000))./(power(CONSTANTS(:,51), 2.00000)+power(STATES(:,2), 2.00000));
    ALGEBRAIC(:,61) =  (( (( (( CONSTANTS(:,52).*1.00000)./(power(CONSTANTS(:,53), 3.00000)+power(CONSTANTS(:,8), 3.00000))).*1.00000)./(CONSTANTS(:,54)+CONSTANTS(:,9))).*1.00000)./(1.00000+ CONSTANTS(:,55).*exp(( (CONSTANTS(:,56) - 1.00000).*STATES(:,1).*CONSTANTS(:,12))./( CONSTANTS(:,10).*CONSTANTS(:,11))))).*( exp(( CONSTANTS(:,56).*STATES(:,1).*CONSTANTS(:,12))./( CONSTANTS(:,10).*CONSTANTS(:,11))).*power(STATES(:,14), 3.00000).*CONSTANTS(:,9) -  exp(( (CONSTANTS(:,56) - 1.00000).*STATES(:,1).*CONSTANTS(:,12))./( CONSTANTS(:,10).*CONSTANTS(:,11))).*power(CONSTANTS(:,8), 3.00000).*STATES(:,2));
    ALGEBRAIC(:,63) =  (( CONSTANTS(:,10).*CONSTANTS(:,11))./( 2.00000.*CONSTANTS(:,12))).*log(CONSTANTS(:,9)./STATES(:,2));
    ALGEBRAIC(:,65) =  CONSTANTS(:,57).*(STATES(:,1) - ALGEBRAIC(:,63));
    ALGEBRAIC(:,27) = power(1.00000+( CONSTANTS(:,17).*CONSTANTS(:,19))./power(CONSTANTS(:,19)+STATES(:,2), 2.00000),  - 1.00000);
    ALGEBRAIC(:,66) =  (( CONSTANTS(:,10).*CONSTANTS(:,11))./CONSTANTS(:,12)).*log(( 0.900000.*CONSTANTS(:,8)+ 0.100000.*CONSTANTS(:,7))./( 0.900000.*STATES(:,14)+ 0.100000.*STATES(:,23)));
    ALGEBRAIC(:,68) =  CONSTANTS(:,58).*STATES(:,15).*(STATES(:,1) - ALGEBRAIC(:,66));
    ALGEBRAIC(:,69) =  CONSTANTS(:,59).*(STATES(:,1) - ALGEBRAIC(:,66));
    ALGEBRAIC(:,78) = 1.00000./(1.00000+ 0.124500.*exp((  - 0.100000.*STATES(:,1).*CONSTANTS(:,12))./( CONSTANTS(:,10).*CONSTANTS(:,11)))+ 0.0365000.*CONSTANTS(:,76).*exp((  - STATES(:,1).*CONSTANTS(:,12))./( CONSTANTS(:,10).*CONSTANTS(:,11))));
    ALGEBRAIC(:,79) = ( (( CONSTANTS(:,69).*ALGEBRAIC(:,78).*1.00000)./(1.00000+power(CONSTANTS(:,70)./STATES(:,14), 1.50000))).*CONSTANTS(:,7))./(CONSTANTS(:,7)+CONSTANTS(:,71));
    ALGEBRAIC(:,70) =  (( CONSTANTS(:,10).*CONSTANTS(:,11))./CONSTANTS(:,12)).*log(CONSTANTS(:,7)./STATES(:,23));
    ALGEBRAIC(:,71) =  CONSTANTS(:,60).*power(STATES(:,24), 3.00000).*STATES(:,25).*(STATES(:,1) - ALGEBRAIC(:,70));
    ALGEBRAIC(:,72) =  CONSTANTS(:,61).*STATES(:,26).*STATES(:,27).*(STATES(:,1) - ALGEBRAIC(:,70));
    ALGEBRAIC(:,73) = ( (( CONSTANTS(:,62).*CONSTANTS(:,7))./(CONSTANTS(:,7)+210.000)).*(STATES(:,1) - ALGEBRAIC(:,70)))./(1.00000+exp( 0.0896000.*(STATES(:,1) - ALGEBRAIC(:,70))));
    ALGEBRAIC(:,74) =  CONSTANTS(:,63).*power(STATES(:,28), 2.00000).*(STATES(:,1) - ALGEBRAIC(:,70));
    ALGEBRAIC(:,75) =  CONSTANTS(:,64).*STATES(:,29).*STATES(:,30).*(STATES(:,1) - ALGEBRAIC(:,70));
    ALGEBRAIC(:,76) =  CONSTANTS(:,65).*STATES(:,31).*STATES(:,32).*(STATES(:,1) - ALGEBRAIC(:,70));
    ALGEBRAIC(:,77) =  CONSTANTS(:,66).*STATES(:,33).*(STATES(:,1) -  (( CONSTANTS(:,10).*CONSTANTS(:,11))./CONSTANTS(:,12)).*log(( 0.980000.*CONSTANTS(:,7)+ 0.0200000.*CONSTANTS(:,8))./( 0.980000.*STATES(:,23)+ 0.0200000.*STATES(:,14))));
    ALGEBRAIC(:,1) =  floor(VOI./CONSTANTS(:,14)).*CONSTANTS(:,14);
    ALGEBRAIC(:,13) = piecewise({VOI - ALGEBRAIC(:,1)>=CONSTANTS(:,13)&VOI - ALGEBRAIC(:,1)<=CONSTANTS(:,13)+CONSTANTS(:,15), CONSTANTS(:,16) }, 0.00000);
    ALGEBRAIC(:,80) = 0.200000./(1.00000+exp( - (STATES(:,1) - 46.7000)./7.80000));
    ALGEBRAIC(:,81) =  (( CONSTANTS(:,72).*ALGEBRAIC(:,80).*STATES(:,2))./(STATES(:,2)+CONSTANTS(:,74))).*(STATES(:,1) - CONSTANTS(:,73));
    ALGEBRAIC(:,62) = (  - ALGEBRAIC(:,60).*CONSTANTS(:,6).*CONSTANTS(:,1))./( 2.00000.*CONSTANTS(:,2).*CONSTANTS(:,12));
    ALGEBRAIC(:,64) = ( ALGEBRAIC(:,61).*CONSTANTS(:,6).*CONSTANTS(:,1))./( CONSTANTS(:,2).*CONSTANTS(:,12));
    ALGEBRAIC(:,67) = (  - ALGEBRAIC(:,65).*CONSTANTS(:,6).*CONSTANTS(:,1))./( 2.00000.*CONSTANTS(:,2).*CONSTANTS(:,12));
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