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 =60;
end
% There are a total of 20 entries in each of the rate and state variable arrays.
% There are a total of 69 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 (second)');
    LEGEND_STATES(:,1) = strpad('V in component membrane (millivolt)');
    LEGEND_CONSTANTS(:,1) = strpad('R in component membrane (joule_per_kilomole_kelvin)');
    LEGEND_CONSTANTS(:,2) = strpad('T in component membrane (kelvin)');
    LEGEND_CONSTANTS(:,3) = strpad('F in component membrane (coulomb_per_mole)');
    LEGEND_CONSTANTS(:,4) = strpad('Cm in component membrane (microF)');
    LEGEND_ALGEBRAIC(:,29) = strpad('i_K1 in component time_independent_potassium_current (nanoA)');
    LEGEND_ALGEBRAIC(:,52) = strpad('i_to in component transient_outward_current (nanoA)');
    LEGEND_ALGEBRAIC(:,31) = strpad('i_Kr in component rapid_delayed_rectifier_potassium_current (nanoA)');
    LEGEND_ALGEBRAIC(:,33) = strpad('i_Ks in component slow_delayed_rectifier_potassium_current (nanoA)');
    LEGEND_ALGEBRAIC(:,43) = strpad('i_Ca_L_K_cyt in component L_type_Ca_channel (nanoA)');
    LEGEND_ALGEBRAIC(:,48) = strpad('i_Ca_L_K_ds in component L_type_Ca_channel (nanoA)');
    LEGEND_ALGEBRAIC(:,53) = strpad('i_NaK in component sodium_potassium_pump (nanoA)');
    LEGEND_ALGEBRAIC(:,34) = strpad('i_Na in component fast_sodium_current (nanoA)');
    LEGEND_ALGEBRAIC(:,36) = strpad('i_b_Na in component sodium_background_current (nanoA)');
    LEGEND_ALGEBRAIC(:,35) = strpad('i_p_Na in component persistent_sodium_current (nanoA)');
    LEGEND_ALGEBRAIC(:,44) = strpad('i_Ca_L_Na_cyt in component L_type_Ca_channel (nanoA)');
    LEGEND_ALGEBRAIC(:,49) = strpad('i_Ca_L_Na_ds in component L_type_Ca_channel (nanoA)');
    LEGEND_ALGEBRAIC(:,54) = strpad('i_NaCa_cyt in component sodium_calcium_exchanger (nanoA)');
    LEGEND_ALGEBRAIC(:,55) = strpad('i_NaCa_ds in component sodium_calcium_exchanger (nanoA)');
    LEGEND_ALGEBRAIC(:,42) = strpad('i_Ca_L_Ca_cyt in component L_type_Ca_channel (nanoA)');
    LEGEND_ALGEBRAIC(:,47) = strpad('i_Ca_L_Ca_ds in component L_type_Ca_channel (nanoA)');
    LEGEND_ALGEBRAIC(:,51) = strpad('i_b_Ca in component calcium_background_current (nanoA)');
    LEGEND_ALGEBRAIC(:,7) = strpad('i_Stim in component membrane (nanoA)');
    LEGEND_CONSTANTS(:,5) = strpad('stim_start in component membrane (second)');
    LEGEND_CONSTANTS(:,6) = strpad('stim_end in component membrane (second)');
    LEGEND_CONSTANTS(:,7) = strpad('stim_period in component membrane (second)');
    LEGEND_CONSTANTS(:,8) = strpad('stim_duration in component membrane (second)');
    LEGEND_CONSTANTS(:,9) = strpad('stim_amplitude in component membrane (nanoA)');
    LEGEND_ALGEBRAIC(:,16) = strpad('E_Na in component reversal_potentials (millivolt)');
    LEGEND_ALGEBRAIC(:,21) = strpad('E_K in component reversal_potentials (millivolt)');
    LEGEND_ALGEBRAIC(:,23) = strpad('E_Ks in component reversal_potentials (millivolt)');
    LEGEND_ALGEBRAIC(:,25) = strpad('E_Ca in component reversal_potentials (millivolt)');
    LEGEND_ALGEBRAIC(:,27) = strpad('E_mh in component reversal_potentials (millivolt)');
    LEGEND_CONSTANTS(:,10) = strpad('P_kna in component reversal_potentials (dimensionless)');
    LEGEND_CONSTANTS(:,11) = strpad('K_o in component extracellular_potassium_concentration (millimolar)');
    LEGEND_CONSTANTS(:,12) = strpad('Na_o in component extracellular_sodium_concentration (millimolar)');
    LEGEND_STATES(:,2) = strpad('K_i in component intracellular_potassium_concentration (millimolar)');
    LEGEND_STATES(:,3) = strpad('Na_i in component intracellular_sodium_concentration (millimolar)');
    LEGEND_CONSTANTS(:,13) = strpad('Ca_o in component extracellular_calcium_concentration (millimolar)');
    LEGEND_STATES(:,4) = strpad('Ca_i in component intracellular_calcium_concentration (millimolar)');
    LEGEND_CONSTANTS(:,14) = strpad('K_mk1 in component time_independent_potassium_current (millimolar)');
    LEGEND_CONSTANTS(:,15) = strpad('g_K1 in component time_independent_potassium_current (microS)');
    LEGEND_CONSTANTS(:,16) = strpad('g_Kr1 in component rapid_delayed_rectifier_potassium_current (microS)');
    LEGEND_CONSTANTS(:,17) = strpad('g_Kr2 in component rapid_delayed_rectifier_potassium_current (microS)');
    LEGEND_STATES(:,5) = strpad('xr1 in component rapid_delayed_rectifier_potassium_current_xr1_gate (dimensionless)');
    LEGEND_STATES(:,6) = strpad('xr2 in component rapid_delayed_rectifier_potassium_current_xr2_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,1) = strpad('alpha_xr1 in component rapid_delayed_rectifier_potassium_current_xr1_gate (per_second)');
    LEGEND_ALGEBRAIC(:,10) = strpad('beta_xr1 in component rapid_delayed_rectifier_potassium_current_xr1_gate (per_second)');
    LEGEND_ALGEBRAIC(:,2) = strpad('alpha_xr2 in component rapid_delayed_rectifier_potassium_current_xr2_gate (per_second)');
    LEGEND_ALGEBRAIC(:,11) = strpad('beta_xr2 in component rapid_delayed_rectifier_potassium_current_xr2_gate (per_second)');
    LEGEND_CONSTANTS(:,18) = strpad('g_Ks in component slow_delayed_rectifier_potassium_current (microS)');
    LEGEND_STATES(:,7) = strpad('xs in component slow_delayed_rectifier_potassium_current_xs_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,3) = strpad('alpha_xs in component slow_delayed_rectifier_potassium_current_xs_gate (per_second)');
    LEGEND_ALGEBRAIC(:,12) = strpad('beta_xs in component slow_delayed_rectifier_potassium_current_xs_gate (per_second)');
    LEGEND_CONSTANTS(:,19) = strpad('g_Na in component fast_sodium_current (microS)');
    LEGEND_STATES(:,8) = strpad('m in component fast_sodium_current_m_gate (dimensionless)');
    LEGEND_STATES(:,9) = strpad('h in component fast_sodium_current_h_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,13) = strpad('alpha_m in component fast_sodium_current_m_gate (per_second)');
    LEGEND_ALGEBRAIC(:,19) = strpad('beta_m in component fast_sodium_current_m_gate (per_second)');
    LEGEND_CONSTANTS(:,20) = strpad('delta_m in component fast_sodium_current_m_gate (millivolt)');
    LEGEND_ALGEBRAIC(:,4) = strpad('E0_m in component fast_sodium_current_m_gate (millivolt)');
    LEGEND_ALGEBRAIC(:,5) = strpad('alpha_h in component fast_sodium_current_h_gate (per_second)');
    LEGEND_ALGEBRAIC(:,14) = strpad('beta_h in component fast_sodium_current_h_gate (per_second)');
    LEGEND_CONSTANTS(:,21) = strpad('shift_h in component fast_sodium_current_h_gate (millivolt)');
    LEGEND_CONSTANTS(:,22) = strpad('g_pna in component persistent_sodium_current (microS)');
    LEGEND_CONSTANTS(:,23) = strpad('g_bna in component sodium_background_current (microS)');
    LEGEND_ALGEBRAIC(:,50) = strpad('i_Ca_L in component L_type_Ca_channel (nanoA)');
    LEGEND_CONSTANTS(:,24) = strpad('P_Ca_L in component L_type_Ca_channel (nanoA_per_millimolar)');
    LEGEND_CONSTANTS(:,25) = strpad('P_CaK in component L_type_Ca_channel (dimensionless)');
    LEGEND_CONSTANTS(:,26) = strpad('P_CaNa in component L_type_Ca_channel (dimensionless)');
    LEGEND_STATES(:,10) = strpad('Ca_ds in component intracellular_calcium_concentration (millimolar)');
    LEGEND_STATES(:,11) = strpad('d in component L_type_Ca_channel_d_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,41) = strpad('CaChoncyt in component L_type_Ca_channel_f_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,46) = strpad('CaChonds in component L_type_Ca_channel_f_gate (dimensionless)');
    LEGEND_CONSTANTS(:,27) = strpad('KCaChoff in component L_type_Ca_channel (millimolar)');
    LEGEND_CONSTANTS(:,28) = strpad('Kmdsinact in component L_type_Ca_channel (millimolar)');
    LEGEND_CONSTANTS(:,29) = strpad('FrICa in component L_type_Ca_channel (dimensionless)');
    LEGEND_ALGEBRAIC(:,15) = strpad('alpha_d in component L_type_Ca_channel_d_gate (per_second)');
    LEGEND_ALGEBRAIC(:,20) = strpad('beta_d in component L_type_Ca_channel_d_gate (per_second)');
    LEGEND_ALGEBRAIC(:,6) = strpad('E0_d in component L_type_Ca_channel_d_gate (millivolt)');
    LEGEND_CONSTANTS(:,30) = strpad('speed_d in component L_type_Ca_channel_d_gate (dimensionless)');
    LEGEND_STATES(:,12) = strpad('f in component L_type_Ca_channel_f_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,40) = strpad('CaChoffcyt in component L_type_Ca_channel_f_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,45) = strpad('CaChoffds in component L_type_Ca_channel_f_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,38) = strpad('alpha_f in component L_type_Ca_channel_f_gate (per_second)');
    LEGEND_ALGEBRAIC(:,39) = strpad('beta_f in component L_type_Ca_channel_f_gate (per_second)');
    LEGEND_CONSTANTS(:,31) = strpad('speed_f in component L_type_Ca_channel_f_gate (dimensionless)');
    LEGEND_CONSTANTS(:,32) = strpad('delta_f in component L_type_Ca_channel_f_gate (millivolt)');
    LEGEND_ALGEBRAIC(:,37) = strpad('E0_f in component L_type_Ca_channel_f_gate (millivolt)');
    LEGEND_CONSTANTS(:,33) = strpad('g_bca in component calcium_background_current (microS)');
    LEGEND_CONSTANTS(:,34) = strpad('g_to in component transient_outward_current (microS)');
    LEGEND_CONSTANTS(:,35) = strpad('g_tos in component transient_outward_current (dimensionless)');
    LEGEND_STATES(:,13) = strpad('s in component transient_outward_current_s_gate (dimensionless)');
    LEGEND_STATES(:,14) = strpad('r in component transient_outward_current_r_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,8) = strpad('alpha_s in component transient_outward_current_s_gate (per_second)');
    LEGEND_ALGEBRAIC(:,17) = strpad('beta_s in component transient_outward_current_s_gate (per_second)');
    LEGEND_CONSTANTS(:,36) = strpad('i_NaK_max in component sodium_potassium_pump (nanoA)');
    LEGEND_CONSTANTS(:,37) = strpad('K_mK in component sodium_potassium_pump (millimolar)');
    LEGEND_CONSTANTS(:,38) = strpad('K_mNa in component sodium_potassium_pump (millimolar)');
    LEGEND_ALGEBRAIC(:,56) = strpad('i_NaCa in component sodium_calcium_exchanger (nanoA)');
    LEGEND_CONSTANTS(:,39) = strpad('k_NaCa in component sodium_calcium_exchanger (nanoA)');
    LEGEND_CONSTANTS(:,40) = strpad('n_NaCa in component sodium_calcium_exchanger (dimensionless)');
    LEGEND_CONSTANTS(:,41) = strpad('d_NaCa in component sodium_calcium_exchanger (dimensionless)');
    LEGEND_CONSTANTS(:,42) = strpad('gamma in component sodium_calcium_exchanger (dimensionless)');
    LEGEND_CONSTANTS(:,43) = strpad('FRiNaCa in component sodium_calcium_exchanger (dimensionless)');
    LEGEND_ALGEBRAIC(:,58) = strpad('i_up in component sarcoplasmic_reticulum_calcium_pump (millimolar_per_second)');
    LEGEND_CONSTANTS(:,67) = strpad('K_1 in component sarcoplasmic_reticulum_calcium_pump (dimensionless)');
    LEGEND_ALGEBRAIC(:,57) = strpad('K_2 in component sarcoplasmic_reticulum_calcium_pump (millimolar)');
    LEGEND_CONSTANTS(:,44) = strpad('K_cyca in component sarcoplasmic_reticulum_calcium_pump (millimolar)');
    LEGEND_CONSTANTS(:,45) = strpad('K_xcs in component sarcoplasmic_reticulum_calcium_pump (dimensionless)');
    LEGEND_CONSTANTS(:,46) = strpad('K_srca in component sarcoplasmic_reticulum_calcium_pump (millimolar)');
    LEGEND_CONSTANTS(:,47) = strpad('alpha_up in component sarcoplasmic_reticulum_calcium_pump (millimolar_per_second)');
    LEGEND_CONSTANTS(:,48) = strpad('beta_up in component sarcoplasmic_reticulum_calcium_pump (millimolar_per_second)');
    LEGEND_STATES(:,15) = strpad('Ca_up in component intracellular_calcium_concentration (millimolar)');
    LEGEND_ALGEBRAIC(:,59) = strpad('i_trans in component calcium_translocation (millimolar_per_second)');
    LEGEND_STATES(:,16) = strpad('Ca_rel in component intracellular_calcium_concentration (millimolar)');
    LEGEND_ALGEBRAIC(:,60) = strpad('i_rel in component calcium_release (millimolar_per_second)');
    LEGEND_ALGEBRAIC(:,9) = strpad('VoltDep in component calcium_release (dimensionless)');
    LEGEND_ALGEBRAIC(:,24) = strpad('RegBindSite in component calcium_release (dimensionless)');
    LEGEND_ALGEBRAIC(:,18) = strpad('CaiReg in component calcium_release (dimensionless)');
    LEGEND_ALGEBRAIC(:,22) = strpad('CadsReg in component calcium_release (dimensionless)');
    LEGEND_ALGEBRAIC(:,26) = strpad('ActRate in component calcium_release (per_second)');
    LEGEND_ALGEBRAIC(:,28) = strpad('InactRate in component calcium_release (per_second)');
    LEGEND_CONSTANTS(:,49) = strpad('K_leak_rate in component calcium_release (per_second)');
    LEGEND_CONSTANTS(:,50) = strpad('K_m_rel in component calcium_release (per_second)');
    LEGEND_CONSTANTS(:,51) = strpad('K_m_Ca_cyt in component calcium_release (millimolar)');
    LEGEND_CONSTANTS(:,52) = strpad('K_m_Ca_ds in component calcium_release (millimolar)');
    LEGEND_ALGEBRAIC(:,32) = strpad('PrecFrac in component calcium_release (dimensionless)');
    LEGEND_STATES(:,17) = strpad('ActFrac in component calcium_release (dimensionless)');
    LEGEND_STATES(:,18) = strpad('ProdFrac in component calcium_release (dimensionless)');
    LEGEND_ALGEBRAIC(:,30) = strpad('SpeedRel in component calcium_release (dimensionless)');
    LEGEND_CONSTANTS(:,69) = strpad('V_i in component intracellular_calcium_concentration (micrometre3)');
    LEGEND_STATES(:,19) = strpad('Ca_Calmod in component intracellular_calcium_concentration (millimolar)');
    LEGEND_STATES(:,20) = strpad('Ca_Trop in component intracellular_calcium_concentration (millimolar)');
    LEGEND_CONSTANTS(:,53) = strpad('Calmod in component intracellular_calcium_concentration (millimolar)');
    LEGEND_CONSTANTS(:,54) = strpad('Trop in component intracellular_calcium_concentration (millimolar)');
    LEGEND_CONSTANTS(:,55) = strpad('alpha_Calmod in component intracellular_calcium_concentration (per_millimolar_second)');
    LEGEND_CONSTANTS(:,56) = strpad('beta_Calmod in component intracellular_calcium_concentration (per_second)');
    LEGEND_CONSTANTS(:,57) = strpad('alpha_Trop in component intracellular_calcium_concentration (per_millimolar_second)');
    LEGEND_CONSTANTS(:,58) = strpad('beta_Trop in component intracellular_calcium_concentration (per_second)');
    LEGEND_CONSTANTS(:,59) = strpad('radius in component intracellular_calcium_concentration (micrometre)');
    LEGEND_CONSTANTS(:,60) = strpad('length in component intracellular_calcium_concentration (micrometre)');
    LEGEND_CONSTANTS(:,66) = strpad('V_Cell in component intracellular_calcium_concentration (micrometre3)');
    LEGEND_CONSTANTS(:,68) = strpad('V_i_ratio in component intracellular_calcium_concentration (dimensionless)');
    LEGEND_CONSTANTS(:,61) = strpad('V_ds_ratio in component intracellular_calcium_concentration (dimensionless)');
    LEGEND_CONSTANTS(:,62) = strpad('V_rel_ratio in component intracellular_calcium_concentration (dimensionless)');
    LEGEND_CONSTANTS(:,63) = strpad('V_e_ratio in component intracellular_calcium_concentration (dimensionless)');
    LEGEND_CONSTANTS(:,64) = strpad('V_up_ratio in component intracellular_calcium_concentration (dimensionless)');
    LEGEND_CONSTANTS(:,65) = strpad('Kdecay in component intracellular_calcium_concentration (per_second)');
    LEGEND_RATES(:,1) = strpad('d/dt V in component membrane (millivolt)');
    LEGEND_RATES(:,5) = strpad('d/dt xr1 in component rapid_delayed_rectifier_potassium_current_xr1_gate (dimensionless)');
    LEGEND_RATES(:,6) = strpad('d/dt xr2 in component rapid_delayed_rectifier_potassium_current_xr2_gate (dimensionless)');
    LEGEND_RATES(:,7) = strpad('d/dt xs in component slow_delayed_rectifier_potassium_current_xs_gate (dimensionless)');
    LEGEND_RATES(:,8) = strpad('d/dt m in component fast_sodium_current_m_gate (dimensionless)');
    LEGEND_RATES(:,9) = strpad('d/dt h in component fast_sodium_current_h_gate (dimensionless)');
    LEGEND_RATES(:,11) = strpad('d/dt d in component L_type_Ca_channel_d_gate (dimensionless)');
    LEGEND_RATES(:,12) = strpad('d/dt f in component L_type_Ca_channel_f_gate (dimensionless)');
    LEGEND_RATES(:,13) = strpad('d/dt s in component transient_outward_current_s_gate (dimensionless)');
    LEGEND_RATES(:,14) = strpad('d/dt r in component transient_outward_current_r_gate (dimensionless)');
    LEGEND_RATES(:,17) = strpad('d/dt ActFrac in component calcium_release (dimensionless)');
    LEGEND_RATES(:,18) = strpad('d/dt ProdFrac in component calcium_release (dimensionless)');
    LEGEND_RATES(:,3) = strpad('d/dt Na_i in component intracellular_sodium_concentration (millimolar)');
    LEGEND_RATES(:,2) = strpad('d/dt K_i in component intracellular_potassium_concentration (millimolar)');
    LEGEND_RATES(:,4) = strpad('d/dt Ca_i in component intracellular_calcium_concentration (millimolar)');
    LEGEND_RATES(:,19) = strpad('d/dt Ca_Calmod in component intracellular_calcium_concentration (millimolar)');
    LEGEND_RATES(:,20) = strpad('d/dt Ca_Trop in component intracellular_calcium_concentration (millimolar)');
    LEGEND_RATES(:,10) = strpad('d/dt Ca_ds in component intracellular_calcium_concentration (millimolar)');
    LEGEND_RATES(:,15) = strpad('d/dt Ca_up in component intracellular_calcium_concentration (millimolar)');
    LEGEND_RATES(:,16) = strpad('d/dt Ca_rel in component intracellular_calcium_concentration (millimolar)');
    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) = -93.0550060340878;
    CONSTANTS(:,1) = 8314.472;
    CONSTANTS(:,2) = 310;
    CONSTANTS(:,3) = 96485.3415;
    CONSTANTS(:,4) = 9.5e-5;
    CONSTANTS(:,5) = 0.1;
    CONSTANTS(:,6) = 600;
    CONSTANTS(:,7) = 1;
    CONSTANTS(:,8) = 0.002;
    CONSTANTS(:,9) = -6;
    CONSTANTS(:,10) = 0.03;
    CONSTANTS(:,11) = 4;
    CONSTANTS(:,12) = 140;
    STATES(:,2) = 138.49601832864;
    STATES(:,3) = 5.68929064089788;
    CONSTANTS(:,13) = 2;
    STATES(:,4) = 5.60867201979414e-6;
    CONSTANTS(:,14) = 10;
    CONSTANTS(:,15) = 0.5;
    CONSTANTS(:,16) = 0.0028;
    CONSTANTS(:,17) = 0.0017;
    STATES(:,5) = 9.88715446781661e-6;
    STATES(:,6) = 2.15138346929839e-7;
    CONSTANTS(:,18) = 0.0016;
    STATES(:,7) = 6.72192033116639e-7;
    CONSTANTS(:,19) = 0.5;
    STATES(:,8) = 0.00157541794600382;
    STATES(:,9) = 0.99465397024286;
    CONSTANTS(:,20) = 1e-5;
    CONSTANTS(:,21) = 0;
    CONSTANTS(:,22) = 0.0027;
    CONSTANTS(:,23) = 0.0006;
    CONSTANTS(:,24) = 1;
    CONSTANTS(:,25) = 0.002;
    CONSTANTS(:,26) = 0.01;
    STATES(:,10) = 2.15623822848619e-7;
    STATES(:,11) = 2.27643784381792e-8;
    CONSTANTS(:,27) = 0.01;
    CONSTANTS(:,28) = 0.001;
    CONSTANTS(:,29) = 0.7;
    CONSTANTS(:,30) = 3;
    STATES(:,12) = 4.03082807230434e-9;
    CONSTANTS(:,31) = 0.3;
    CONSTANTS(:,32) = 0.0001;
    CONSTANTS(:,33) = 0.00025;
    CONSTANTS(:,34) = 0.005;
    CONSTANTS(:,35) = 0;
    STATES(:,13) = 0.999870016703514;
    STATES(:,14) = 1.8398417043009e-8;
    CONSTANTS(:,36) = 0.7;
    CONSTANTS(:,37) = 1;
    CONSTANTS(:,38) = 40;
    CONSTANTS(:,39) = 0.0005;
    CONSTANTS(:,40) = 3;
    CONSTANTS(:,41) = 0;
    CONSTANTS(:,42) = 0.2;
    CONSTANTS(:,43) = 0.001;
    CONSTANTS(:,44) = 0.0003;
    CONSTANTS(:,45) = 0.4;
    CONSTANTS(:,46) = 0.5;
    CONSTANTS(:,47) = 0.4;
    CONSTANTS(:,48) = 0.03;
    STATES(:,15) = 0.187470810108547;
    STATES(:,16) = 0.185609773872992;
    CONSTANTS(:,49) = 0.05;
    CONSTANTS(:,50) = 250;
    CONSTANTS(:,51) = 0.0005;
    CONSTANTS(:,52) = 0.01;
    STATES(:,17) = 0.000183030061767109;
    STATES(:,18) = 0.0109931117325847;
    STATES(:,19) = 0.000221858224298955;
    STATES(:,20) = 0.00013982468565579;
    CONSTANTS(:,53) = 0.02;
    CONSTANTS(:,54) = 0.05;
    CONSTANTS(:,55) = 100000;
    CONSTANTS(:,56) = 50;
    CONSTANTS(:,57) = 100000;
    CONSTANTS(:,58) = 200;
    CONSTANTS(:,59) = 12;
    CONSTANTS(:,60) = 74;
    CONSTANTS(:,61) = 0.1;
    CONSTANTS(:,62) = 0.1;
    CONSTANTS(:,63) = 0.4;
    CONSTANTS(:,64) = 0.01;
    CONSTANTS(:,65) = 10;
    CONSTANTS(:,66) = ( 3.14159.*power(CONSTANTS(:,59)./1000.00, 2.00000).*CONSTANTS(:,60))./1000.00;
    CONSTANTS(:,67) = ( CONSTANTS(:,44).*CONSTANTS(:,45))./CONSTANTS(:,46);
    CONSTANTS(:,68) = ((1.00000 - CONSTANTS(:,63)) - CONSTANTS(:,64)) - CONSTANTS(:,62);
    CONSTANTS(:,69) =  CONSTANTS(:,66).*CONSTANTS(:,68);
    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(:,14) =  333.000.*(1.00000./(1.00000+exp( - (STATES(:,1)+4.00000)./5.00000)) - STATES(:,14));
    ALGEBRAIC(:,1) = 50.0000./(1.00000+exp( - (STATES(:,1) - 5.00000)./9.00000));
    ALGEBRAIC(:,10) =  0.0500000.*exp( - (STATES(:,1) - 20.0000)./15.0000);
    RATES(:,5) =  ALGEBRAIC(:,1).*(1.00000 - STATES(:,5)) -  ALGEBRAIC(:,10).*STATES(:,5);
    ALGEBRAIC(:,2) = 50.0000./(1.00000+exp( - (STATES(:,1) - 5.00000)./9.00000));
    ALGEBRAIC(:,11) =  0.400000.*exp( - power((STATES(:,1)+30.0000)./30.0000, 3.00000));
    RATES(:,6) =  ALGEBRAIC(:,2).*(1.00000 - STATES(:,6)) -  ALGEBRAIC(:,11).*STATES(:,6);
    ALGEBRAIC(:,3) = 14.0000./(1.00000+exp( - (STATES(:,1) - 40.0000)./9.00000));
    ALGEBRAIC(:,12) =  1.00000.*exp( - STATES(:,1)./45.0000);
    RATES(:,7) =  ALGEBRAIC(:,3).*(1.00000 - STATES(:,7)) -  ALGEBRAIC(:,12).*STATES(:,7);
    ALGEBRAIC(:,5) =  20.0000.*exp(  - 0.125000.*((STATES(:,1)+75.0000) - CONSTANTS(:,21)));
    ALGEBRAIC(:,14) = 2000.00./(1.00000+ 320.000.*exp(  - 0.100000.*((STATES(:,1)+75.0000) - CONSTANTS(:,21))));
    RATES(:,9) =  ALGEBRAIC(:,5).*(1.00000 - STATES(:,9)) -  ALGEBRAIC(:,14).*STATES(:,9);
    ALGEBRAIC(:,8) =  0.0330000.*exp( - STATES(:,1)./17.0000);
    ALGEBRAIC(:,17) = 33.0000./(1.00000+exp(  - 0.125000.*(STATES(:,1)+10.0000)));
    RATES(:,13) =  ALGEBRAIC(:,8).*(1.00000 - STATES(:,13)) -  ALGEBRAIC(:,17).*STATES(:,13);
    ALGEBRAIC(:,4) = STATES(:,1)+41.0000;
    ALGEBRAIC(:,13) = piecewise({abs(ALGEBRAIC(:,4))<CONSTANTS(:,20), 2000.00 }, ( 200.000.*ALGEBRAIC(:,4))./(1.00000 - exp(  - 0.100000.*ALGEBRAIC(:,4))));
    ALGEBRAIC(:,19) =  8000.00.*exp(  - 0.0560000.*(STATES(:,1)+66.0000));
    RATES(:,8) =  ALGEBRAIC(:,13).*(1.00000 - STATES(:,8)) -  ALGEBRAIC(:,19).*STATES(:,8);
    ALGEBRAIC(:,6) = (STATES(:,1)+24.0000) - 5.00000;
    ALGEBRAIC(:,15) = piecewise({abs(ALGEBRAIC(:,6))<0.000100000, 120.000 }, ( 30.0000.*ALGEBRAIC(:,6))./(1.00000 - exp( - ALGEBRAIC(:,6)./4.00000)));
    ALGEBRAIC(:,20) = piecewise({abs(ALGEBRAIC(:,6))<0.000100000, 120.000 }, ( 12.0000.*ALGEBRAIC(:,6))./(exp(ALGEBRAIC(:,6)./10.0000) - 1.00000));
    RATES(:,11) =  CONSTANTS(:,30).*( ALGEBRAIC(:,15).*(1.00000 - STATES(:,11)) -  ALGEBRAIC(:,20).*STATES(:,11));
    ALGEBRAIC(:,18) = STATES(:,4)./(STATES(:,4)+CONSTANTS(:,51));
    ALGEBRAIC(:,22) = STATES(:,10)./(STATES(:,10)+CONSTANTS(:,52));
    ALGEBRAIC(:,24) = ALGEBRAIC(:,18)+ (1.00000 - ALGEBRAIC(:,18)).*ALGEBRAIC(:,22);
    ALGEBRAIC(:,28) = 60.0000+ 500.000.*power(ALGEBRAIC(:,24), 2.00000);
    ALGEBRAIC(:,30) = piecewise({STATES(:,1)< - 50.0000, 5.00000 }, 1.00000);
    RATES(:,18) =  STATES(:,17).*ALGEBRAIC(:,30).*ALGEBRAIC(:,28) -  ALGEBRAIC(:,30).*1.00000.*STATES(:,18);
    ALGEBRAIC(:,9) = exp( 0.0800000.*(STATES(:,1) - 40.0000));
    ALGEBRAIC(:,26) =  0.00000.*ALGEBRAIC(:,9)+ 90.0000.*power(ALGEBRAIC(:,24), 2.00000);
    ALGEBRAIC(:,32) = (1.00000 - STATES(:,17)) - STATES(:,18);
    RATES(:,17) =  ALGEBRAIC(:,32).*ALGEBRAIC(:,30).*ALGEBRAIC(:,26) -  STATES(:,17).*ALGEBRAIC(:,30).*ALGEBRAIC(:,28);
    ALGEBRAIC(:,40) = STATES(:,4)./(CONSTANTS(:,27)+STATES(:,4));
    ALGEBRAIC(:,37) = STATES(:,1)+34.0000;
    ALGEBRAIC(:,38) = piecewise({abs(ALGEBRAIC(:,37))<CONSTANTS(:,32), 25.0000 }, ( 6.25000.*ALGEBRAIC(:,37))./(exp(ALGEBRAIC(:,37)./4.00000) - 1.00000));
    ALGEBRAIC(:,39) = 12.0000./(1.00000+exp((  - 1.00000.*(STATES(:,1)+34.0000))./4.00000));
    RATES(:,12) =  ( 120.000.*(1.00000 - STATES(:,12)).*ALGEBRAIC(:,40)+ (1.00000 - STATES(:,12)).*(1.00000 - ALGEBRAIC(:,40))).*CONSTANTS(:,31).*ALGEBRAIC(:,39) -  ALGEBRAIC(:,38).*STATES(:,12);
    ALGEBRAIC(:,45) = STATES(:,10)./(CONSTANTS(:,28)+STATES(:,10));
    ALGEBRAIC(:,46) =  (1.00000 - STATES(:,12)).*(1.00000 - ALGEBRAIC(:,45));
    ALGEBRAIC(:,47) =  ((( CONSTANTS(:,29).*4.00000.*CONSTANTS(:,24).*STATES(:,11).*ALGEBRAIC(:,46).*(STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))./(1.00000 - exp((  - (STATES(:,1) - 50.0000).*CONSTANTS(:,3).*2.00000)./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*( STATES(:,4).*exp(( 100.000.*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) -  CONSTANTS(:,13).*exp((  - (STATES(:,1) - 50.0000).*CONSTANTS(:,3).*2.00000)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    RATES(:,10) = (  - 1.00000.*ALGEBRAIC(:,47))./( 2.00000.*1.00000.*CONSTANTS(:,61).*CONSTANTS(:,69).*CONSTANTS(:,3)) -  STATES(:,10).*CONSTANTS(:,65);
    ALGEBRAIC(:,21) =  (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,11)./STATES(:,2));
    ALGEBRAIC(:,29) = ( (( CONSTANTS(:,15).*CONSTANTS(:,11))./(CONSTANTS(:,11)+CONSTANTS(:,14))).*(STATES(:,1) - ALGEBRAIC(:,21)))./(1.00000+exp(( ((STATES(:,1) - ALGEBRAIC(:,21)) - 10.0000).*CONSTANTS(:,3).*1.25000)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,52) =  CONSTANTS(:,34).*(CONSTANTS(:,35)+ STATES(:,13).*(1.00000 - CONSTANTS(:,35))).*STATES(:,14).*(STATES(:,1) - ALGEBRAIC(:,21));
    ALGEBRAIC(:,31) =  (( ( CONSTANTS(:,16).*STATES(:,5)+ CONSTANTS(:,17).*STATES(:,6)).*1.00000)./(1.00000+exp((STATES(:,1)+9.00000)./22.4000))).*(STATES(:,1) - ALGEBRAIC(:,21));
    ALGEBRAIC(:,23) =  (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log((CONSTANTS(:,11)+ CONSTANTS(:,10).*CONSTANTS(:,12))./(STATES(:,2)+ CONSTANTS(:,10).*STATES(:,3)));
    ALGEBRAIC(:,33) =  CONSTANTS(:,18).*power(STATES(:,7), 2.00000).*(STATES(:,1) - ALGEBRAIC(:,23));
    ALGEBRAIC(:,41) =  (1.00000 - STATES(:,12)).*(1.00000 - ALGEBRAIC(:,40));
    ALGEBRAIC(:,43) =  ((( (1.00000 - CONSTANTS(:,29)).*CONSTANTS(:,25).*CONSTANTS(:,24).*STATES(:,11).*ALGEBRAIC(:,41).*(STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))./(1.00000 - exp((  - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*( STATES(:,2).*exp(( 50.0000.*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) -  CONSTANTS(:,11).*exp((  - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,48) =  ((( CONSTANTS(:,29).*CONSTANTS(:,25).*CONSTANTS(:,24).*STATES(:,11).*ALGEBRAIC(:,46).*(STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))./(1.00000 - exp((  - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*( STATES(:,2).*exp(( 50.0000.*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) -  CONSTANTS(:,11).*exp((  - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,53) = ( (( CONSTANTS(:,36).*CONSTANTS(:,11))./(CONSTANTS(:,37)+CONSTANTS(:,11))).*STATES(:,3))./(CONSTANTS(:,38)+STATES(:,3));
    RATES(:,2) =  ( - 1.00000./( 1.00000.*CONSTANTS(:,69).*CONSTANTS(:,3))).*((ALGEBRAIC(:,29)+ALGEBRAIC(:,31)+ALGEBRAIC(:,33)+ALGEBRAIC(:,43)+ALGEBRAIC(:,48)+ALGEBRAIC(:,52)) -  2.00000.*ALGEBRAIC(:,53));
    ALGEBRAIC(:,27) =  (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log((CONSTANTS(:,12)+ 0.120000.*CONSTANTS(:,11))./(STATES(:,3)+ 0.120000.*STATES(:,2)));
    ALGEBRAIC(:,34) =  CONSTANTS(:,19).*power(STATES(:,8), 3.00000).*STATES(:,9).*(STATES(:,1) - ALGEBRAIC(:,27));
    ALGEBRAIC(:,16) =  (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,12)./STATES(:,3));
    ALGEBRAIC(:,36) =  CONSTANTS(:,23).*(STATES(:,1) - ALGEBRAIC(:,16));
    ALGEBRAIC(:,35) =  (( CONSTANTS(:,22).*1.00000)./(1.00000+exp( - (STATES(:,1)+52.0000)./8.00000))).*(STATES(:,1) - ALGEBRAIC(:,16));
    ALGEBRAIC(:,44) =  ((( (1.00000 - CONSTANTS(:,29)).*CONSTANTS(:,26).*CONSTANTS(:,24).*STATES(:,11).*ALGEBRAIC(:,41).*(STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))./(1.00000 - exp((  - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*( STATES(:,3).*exp(( 50.0000.*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) -  CONSTANTS(:,12).*exp((  - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,49) =  ((( CONSTANTS(:,29).*CONSTANTS(:,26).*CONSTANTS(:,24).*STATES(:,11).*ALGEBRAIC(:,46).*(STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))./(1.00000 - exp((  - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*( STATES(:,3).*exp(( 50.0000.*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) -  CONSTANTS(:,12).*exp((  - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,54) = ( (1.00000 - CONSTANTS(:,43)).*CONSTANTS(:,39).*( exp(( CONSTANTS(:,42).*(CONSTANTS(:,40) - 2.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(STATES(:,3), CONSTANTS(:,40)).*CONSTANTS(:,13) -  exp(( (CONSTANTS(:,42) - 1.00000).*(CONSTANTS(:,40) - 2.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(CONSTANTS(:,12), CONSTANTS(:,40)).*STATES(:,4)))./( (1.00000+ CONSTANTS(:,41).*( STATES(:,4).*power(CONSTANTS(:,12), CONSTANTS(:,40))+ CONSTANTS(:,13).*power(STATES(:,3), CONSTANTS(:,40)))).*(1.00000+STATES(:,4)./0.00690000));
    RATES(:,3) =  ( - 1.00000./( 1.00000.*CONSTANTS(:,69).*CONSTANTS(:,3))).*(ALGEBRAIC(:,34)+ALGEBRAIC(:,35)+ALGEBRAIC(:,36)+ 3.00000.*ALGEBRAIC(:,53)+ 3.00000.*ALGEBRAIC(:,54)+ALGEBRAIC(:,44)+ALGEBRAIC(:,49));
    ALGEBRAIC(:,55) = ( CONSTANTS(:,43).*CONSTANTS(:,39).*( exp(( CONSTANTS(:,42).*(CONSTANTS(:,40) - 2.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(STATES(:,3), CONSTANTS(:,40)).*CONSTANTS(:,13) -  exp(( (CONSTANTS(:,42) - 1.00000).*(CONSTANTS(:,40) - 2.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(CONSTANTS(:,12), CONSTANTS(:,40)).*STATES(:,10)))./( (1.00000+ CONSTANTS(:,41).*( STATES(:,10).*power(CONSTANTS(:,12), CONSTANTS(:,40))+ CONSTANTS(:,13).*power(STATES(:,3), CONSTANTS(:,40)))).*(1.00000+STATES(:,10)./0.00690000));
    ALGEBRAIC(:,42) =  ((( (1.00000 - CONSTANTS(:,29)).*4.00000.*CONSTANTS(:,24).*STATES(:,11).*ALGEBRAIC(:,41).*(STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))./(1.00000 - exp((  - (STATES(:,1) - 50.0000).*CONSTANTS(:,3).*2.00000)./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*( STATES(:,4).*exp(( 100.000.*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) -  CONSTANTS(:,13).*exp((  - (STATES(:,1) - 50.0000).*CONSTANTS(:,3).*2.00000)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,25) =  (( 0.500000.*CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,13)./STATES(:,4));
    ALGEBRAIC(:,51) =  CONSTANTS(:,33).*(STATES(:,1) - ALGEBRAIC(:,25));
    ALGEBRAIC(:,7) = piecewise({VOI>=CONSTANTS(:,5)&VOI<=CONSTANTS(:,6)&(VOI - CONSTANTS(:,5)) -  floor((VOI - CONSTANTS(:,5))./CONSTANTS(:,7)).*CONSTANTS(:,7)<=CONSTANTS(:,8), CONSTANTS(:,9) }, 0.00000);
    RATES(:,1) =  ( - 1.00000./CONSTANTS(:,4)).*(ALGEBRAIC(:,7)+ALGEBRAIC(:,29)+ALGEBRAIC(:,52)+ALGEBRAIC(:,31)+ALGEBRAIC(:,33)+ALGEBRAIC(:,53)+ALGEBRAIC(:,34)+ALGEBRAIC(:,36)+ALGEBRAIC(:,35)+ALGEBRAIC(:,44)+ALGEBRAIC(:,49)+ALGEBRAIC(:,54)+ALGEBRAIC(:,55)+ALGEBRAIC(:,42)+ALGEBRAIC(:,47)+ALGEBRAIC(:,43)+ALGEBRAIC(:,48)+ALGEBRAIC(:,51));
    ALGEBRAIC(:,57) = STATES(:,4)+ STATES(:,15).*CONSTANTS(:,67)+ CONSTANTS(:,44).*CONSTANTS(:,45)+CONSTANTS(:,44);
    ALGEBRAIC(:,58) =  (STATES(:,4)./ALGEBRAIC(:,57)).*CONSTANTS(:,47) -  (( STATES(:,15).*CONSTANTS(:,67))./ALGEBRAIC(:,57)).*CONSTANTS(:,48);
    ALGEBRAIC(:,59) =  50.0000.*(STATES(:,15) - STATES(:,16));
    RATES(:,15) =  (CONSTANTS(:,68)./CONSTANTS(:,64)).*ALGEBRAIC(:,58) - ALGEBRAIC(:,59);
    RATES(:,19) =  CONSTANTS(:,55).*STATES(:,4).*(CONSTANTS(:,53) - STATES(:,19)) -  CONSTANTS(:,56).*STATES(:,19);
    ALGEBRAIC(:,60) =  ( power(STATES(:,17)./(STATES(:,17)+0.250000), 2.00000).*CONSTANTS(:,50)+CONSTANTS(:,49)).*STATES(:,16);
    RATES(:,16) =  (CONSTANTS(:,64)./CONSTANTS(:,62)).*ALGEBRAIC(:,59) - ALGEBRAIC(:,60);
    RATES(:,20) =  CONSTANTS(:,57).*STATES(:,4).*(CONSTANTS(:,54) - STATES(:,20)) -  CONSTANTS(:,58).*STATES(:,20);
    RATES(:,4) = ((( ( - 1.00000./( 2.00000.*1.00000.*CONSTANTS(:,69).*CONSTANTS(:,3))).*(((ALGEBRAIC(:,42)+ALGEBRAIC(:,51)) -  2.00000.*ALGEBRAIC(:,54)) -  2.00000.*ALGEBRAIC(:,55))+ STATES(:,10).*CONSTANTS(:,61).*CONSTANTS(:,65)+( ALGEBRAIC(:,60).*CONSTANTS(:,62))./CONSTANTS(:,68)) - RATES(:,19)) - RATES(:,20)) - ALGEBRAIC(:,58);
   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(:,1) = 50.0000./(1.00000+exp( - (STATES(:,1) - 5.00000)./9.00000));
    ALGEBRAIC(:,10) =  0.0500000.*exp( - (STATES(:,1) - 20.0000)./15.0000);
    ALGEBRAIC(:,2) = 50.0000./(1.00000+exp( - (STATES(:,1) - 5.00000)./9.00000));
    ALGEBRAIC(:,11) =  0.400000.*exp( - power((STATES(:,1)+30.0000)./30.0000, 3.00000));
    ALGEBRAIC(:,3) = 14.0000./(1.00000+exp( - (STATES(:,1) - 40.0000)./9.00000));
    ALGEBRAIC(:,12) =  1.00000.*exp( - STATES(:,1)./45.0000);
    ALGEBRAIC(:,5) =  20.0000.*exp(  - 0.125000.*((STATES(:,1)+75.0000) - CONSTANTS(:,21)));
    ALGEBRAIC(:,14) = 2000.00./(1.00000+ 320.000.*exp(  - 0.100000.*((STATES(:,1)+75.0000) - CONSTANTS(:,21))));
    ALGEBRAIC(:,8) =  0.0330000.*exp( - STATES(:,1)./17.0000);
    ALGEBRAIC(:,17) = 33.0000./(1.00000+exp(  - 0.125000.*(STATES(:,1)+10.0000)));
    ALGEBRAIC(:,4) = STATES(:,1)+41.0000;
    ALGEBRAIC(:,13) = piecewise({abs(ALGEBRAIC(:,4))<CONSTANTS(:,20), 2000.00 }, ( 200.000.*ALGEBRAIC(:,4))./(1.00000 - exp(  - 0.100000.*ALGEBRAIC(:,4))));
    ALGEBRAIC(:,19) =  8000.00.*exp(  - 0.0560000.*(STATES(:,1)+66.0000));
    ALGEBRAIC(:,6) = (STATES(:,1)+24.0000) - 5.00000;
    ALGEBRAIC(:,15) = piecewise({abs(ALGEBRAIC(:,6))<0.000100000, 120.000 }, ( 30.0000.*ALGEBRAIC(:,6))./(1.00000 - exp( - ALGEBRAIC(:,6)./4.00000)));
    ALGEBRAIC(:,20) = piecewise({abs(ALGEBRAIC(:,6))<0.000100000, 120.000 }, ( 12.0000.*ALGEBRAIC(:,6))./(exp(ALGEBRAIC(:,6)./10.0000) - 1.00000));
    ALGEBRAIC(:,18) = STATES(:,4)./(STATES(:,4)+CONSTANTS(:,51));
    ALGEBRAIC(:,22) = STATES(:,10)./(STATES(:,10)+CONSTANTS(:,52));
    ALGEBRAIC(:,24) = ALGEBRAIC(:,18)+ (1.00000 - ALGEBRAIC(:,18)).*ALGEBRAIC(:,22);
    ALGEBRAIC(:,28) = 60.0000+ 500.000.*power(ALGEBRAIC(:,24), 2.00000);
    ALGEBRAIC(:,30) = piecewise({STATES(:,1)< - 50.0000, 5.00000 }, 1.00000);
    ALGEBRAIC(:,9) = exp( 0.0800000.*(STATES(:,1) - 40.0000));
    ALGEBRAIC(:,26) =  0.00000.*ALGEBRAIC(:,9)+ 90.0000.*power(ALGEBRAIC(:,24), 2.00000);
    ALGEBRAIC(:,32) = (1.00000 - STATES(:,17)) - STATES(:,18);
    ALGEBRAIC(:,40) = STATES(:,4)./(CONSTANTS(:,27)+STATES(:,4));
    ALGEBRAIC(:,37) = STATES(:,1)+34.0000;
    ALGEBRAIC(:,38) = piecewise({abs(ALGEBRAIC(:,37))<CONSTANTS(:,32), 25.0000 }, ( 6.25000.*ALGEBRAIC(:,37))./(exp(ALGEBRAIC(:,37)./4.00000) - 1.00000));
    ALGEBRAIC(:,39) = 12.0000./(1.00000+exp((  - 1.00000.*(STATES(:,1)+34.0000))./4.00000));
    ALGEBRAIC(:,45) = STATES(:,10)./(CONSTANTS(:,28)+STATES(:,10));
    ALGEBRAIC(:,46) =  (1.00000 - STATES(:,12)).*(1.00000 - ALGEBRAIC(:,45));
    ALGEBRAIC(:,47) =  ((( CONSTANTS(:,29).*4.00000.*CONSTANTS(:,24).*STATES(:,11).*ALGEBRAIC(:,46).*(STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))./(1.00000 - exp((  - (STATES(:,1) - 50.0000).*CONSTANTS(:,3).*2.00000)./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*( STATES(:,4).*exp(( 100.000.*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) -  CONSTANTS(:,13).*exp((  - (STATES(:,1) - 50.0000).*CONSTANTS(:,3).*2.00000)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,21) =  (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,11)./STATES(:,2));
    ALGEBRAIC(:,29) = ( (( CONSTANTS(:,15).*CONSTANTS(:,11))./(CONSTANTS(:,11)+CONSTANTS(:,14))).*(STATES(:,1) - ALGEBRAIC(:,21)))./(1.00000+exp(( ((STATES(:,1) - ALGEBRAIC(:,21)) - 10.0000).*CONSTANTS(:,3).*1.25000)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,52) =  CONSTANTS(:,34).*(CONSTANTS(:,35)+ STATES(:,13).*(1.00000 - CONSTANTS(:,35))).*STATES(:,14).*(STATES(:,1) - ALGEBRAIC(:,21));
    ALGEBRAIC(:,31) =  (( ( CONSTANTS(:,16).*STATES(:,5)+ CONSTANTS(:,17).*STATES(:,6)).*1.00000)./(1.00000+exp((STATES(:,1)+9.00000)./22.4000))).*(STATES(:,1) - ALGEBRAIC(:,21));
    ALGEBRAIC(:,23) =  (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log((CONSTANTS(:,11)+ CONSTANTS(:,10).*CONSTANTS(:,12))./(STATES(:,2)+ CONSTANTS(:,10).*STATES(:,3)));
    ALGEBRAIC(:,33) =  CONSTANTS(:,18).*power(STATES(:,7), 2.00000).*(STATES(:,1) - ALGEBRAIC(:,23));
    ALGEBRAIC(:,41) =  (1.00000 - STATES(:,12)).*(1.00000 - ALGEBRAIC(:,40));
    ALGEBRAIC(:,43) =  ((( (1.00000 - CONSTANTS(:,29)).*CONSTANTS(:,25).*CONSTANTS(:,24).*STATES(:,11).*ALGEBRAIC(:,41).*(STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))./(1.00000 - exp((  - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*( STATES(:,2).*exp(( 50.0000.*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) -  CONSTANTS(:,11).*exp((  - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,48) =  ((( CONSTANTS(:,29).*CONSTANTS(:,25).*CONSTANTS(:,24).*STATES(:,11).*ALGEBRAIC(:,46).*(STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))./(1.00000 - exp((  - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*( STATES(:,2).*exp(( 50.0000.*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) -  CONSTANTS(:,11).*exp((  - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,53) = ( (( CONSTANTS(:,36).*CONSTANTS(:,11))./(CONSTANTS(:,37)+CONSTANTS(:,11))).*STATES(:,3))./(CONSTANTS(:,38)+STATES(:,3));
    ALGEBRAIC(:,27) =  (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log((CONSTANTS(:,12)+ 0.120000.*CONSTANTS(:,11))./(STATES(:,3)+ 0.120000.*STATES(:,2)));
    ALGEBRAIC(:,34) =  CONSTANTS(:,19).*power(STATES(:,8), 3.00000).*STATES(:,9).*(STATES(:,1) - ALGEBRAIC(:,27));
    ALGEBRAIC(:,16) =  (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,12)./STATES(:,3));
    ALGEBRAIC(:,36) =  CONSTANTS(:,23).*(STATES(:,1) - ALGEBRAIC(:,16));
    ALGEBRAIC(:,35) =  (( CONSTANTS(:,22).*1.00000)./(1.00000+exp( - (STATES(:,1)+52.0000)./8.00000))).*(STATES(:,1) - ALGEBRAIC(:,16));
    ALGEBRAIC(:,44) =  ((( (1.00000 - CONSTANTS(:,29)).*CONSTANTS(:,26).*CONSTANTS(:,24).*STATES(:,11).*ALGEBRAIC(:,41).*(STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))./(1.00000 - exp((  - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*( STATES(:,3).*exp(( 50.0000.*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) -  CONSTANTS(:,12).*exp((  - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,49) =  ((( CONSTANTS(:,29).*CONSTANTS(:,26).*CONSTANTS(:,24).*STATES(:,11).*ALGEBRAIC(:,46).*(STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))./(1.00000 - exp((  - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*( STATES(:,3).*exp(( 50.0000.*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) -  CONSTANTS(:,12).*exp((  - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,54) = ( (1.00000 - CONSTANTS(:,43)).*CONSTANTS(:,39).*( exp(( CONSTANTS(:,42).*(CONSTANTS(:,40) - 2.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(STATES(:,3), CONSTANTS(:,40)).*CONSTANTS(:,13) -  exp(( (CONSTANTS(:,42) - 1.00000).*(CONSTANTS(:,40) - 2.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(CONSTANTS(:,12), CONSTANTS(:,40)).*STATES(:,4)))./( (1.00000+ CONSTANTS(:,41).*( STATES(:,4).*power(CONSTANTS(:,12), CONSTANTS(:,40))+ CONSTANTS(:,13).*power(STATES(:,3), CONSTANTS(:,40)))).*(1.00000+STATES(:,4)./0.00690000));
    ALGEBRAIC(:,55) = ( CONSTANTS(:,43).*CONSTANTS(:,39).*( exp(( CONSTANTS(:,42).*(CONSTANTS(:,40) - 2.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(STATES(:,3), CONSTANTS(:,40)).*CONSTANTS(:,13) -  exp(( (CONSTANTS(:,42) - 1.00000).*(CONSTANTS(:,40) - 2.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(CONSTANTS(:,12), CONSTANTS(:,40)).*STATES(:,10)))./( (1.00000+ CONSTANTS(:,41).*( STATES(:,10).*power(CONSTANTS(:,12), CONSTANTS(:,40))+ CONSTANTS(:,13).*power(STATES(:,3), CONSTANTS(:,40)))).*(1.00000+STATES(:,10)./0.00690000));
    ALGEBRAIC(:,42) =  ((( (1.00000 - CONSTANTS(:,29)).*4.00000.*CONSTANTS(:,24).*STATES(:,11).*ALGEBRAIC(:,41).*(STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))./(1.00000 - exp((  - (STATES(:,1) - 50.0000).*CONSTANTS(:,3).*2.00000)./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*( STATES(:,4).*exp(( 100.000.*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) -  CONSTANTS(:,13).*exp((  - (STATES(:,1) - 50.0000).*CONSTANTS(:,3).*2.00000)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,25) =  (( 0.500000.*CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,13)./STATES(:,4));
    ALGEBRAIC(:,51) =  CONSTANTS(:,33).*(STATES(:,1) - ALGEBRAIC(:,25));
    ALGEBRAIC(:,7) = piecewise({VOI>=CONSTANTS(:,5)&VOI<=CONSTANTS(:,6)&(VOI - CONSTANTS(:,5)) -  floor((VOI - CONSTANTS(:,5))./CONSTANTS(:,7)).*CONSTANTS(:,7)<=CONSTANTS(:,8), CONSTANTS(:,9) }, 0.00000);
    ALGEBRAIC(:,57) = STATES(:,4)+ STATES(:,15).*CONSTANTS(:,67)+ CONSTANTS(:,44).*CONSTANTS(:,45)+CONSTANTS(:,44);
    ALGEBRAIC(:,58) =  (STATES(:,4)./ALGEBRAIC(:,57)).*CONSTANTS(:,47) -  (( STATES(:,15).*CONSTANTS(:,67))./ALGEBRAIC(:,57)).*CONSTANTS(:,48);
    ALGEBRAIC(:,59) =  50.0000.*(STATES(:,15) - STATES(:,16));
    ALGEBRAIC(:,60) =  ( power(STATES(:,17)./(STATES(:,17)+0.250000), 2.00000).*CONSTANTS(:,50)+CONSTANTS(:,49)).*STATES(:,16);
    ALGEBRAIC(:,50) = ALGEBRAIC(:,42)+ALGEBRAIC(:,43)+ALGEBRAIC(:,44)+ALGEBRAIC(:,47)+ALGEBRAIC(:,48)+ALGEBRAIC(:,49);
    ALGEBRAIC(:,56) = ALGEBRAIC(:,54)+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