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 =70;
end
% There are a total of 30 entries in each of the rate and state variable arrays.
% There are a total of 51 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 (millijoule_per_mole_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 (nanoF)');
LEGEND_ALGEBRAIC(:,1) = strpad('Q_tot in component membrane (millivolt)');
LEGEND_ALGEBRAIC(:,38) = strpad('i_Na in component sodium_current (picoA)');
LEGEND_ALGEBRAIC(:,42) = strpad('i_Ca_L in component L_type_Ca_channel (picoA)');
LEGEND_ALGEBRAIC(:,45) = strpad('i_t in component Ca_independent_transient_outward_K_current (picoA)');
LEGEND_ALGEBRAIC(:,46) = strpad('i_Kur in component ultra_rapid_K_current (picoA)');
LEGEND_ALGEBRAIC(:,47) = strpad('i_K1 in component inward_rectifier (picoA)');
LEGEND_ALGEBRAIC(:,50) = strpad('i_Kr in component delayed_rectifier_K_currents (picoA)');
LEGEND_ALGEBRAIC(:,48) = strpad('i_Ks in component delayed_rectifier_K_currents (picoA)');
LEGEND_ALGEBRAIC(:,51) = strpad('i_B_Na in component background_currents (picoA)');
LEGEND_ALGEBRAIC(:,53) = strpad('i_B_Ca in component background_currents (picoA)');
LEGEND_ALGEBRAIC(:,55) = strpad('i_NaK in component sodium_potassium_pump (picoA)');
LEGEND_ALGEBRAIC(:,56) = strpad('i_CaP in component sarcolemmal_calcium_pump_current (picoA)');
LEGEND_ALGEBRAIC(:,57) = strpad('i_NaCa in component Na_Ca_ion_exchanger_current (picoA)');
LEGEND_ALGEBRAIC(:,58) = strpad('i_KACh in component ACh_dependent_K_current (picoA)');
LEGEND_ALGEBRAIC(:,60) = strpad('I in component membrane (pA_per_nF)');
LEGEND_ALGEBRAIC(:,25) = strpad('i_Stim in component membrane (pA_per_nF)');
LEGEND_CONSTANTS(:,5) = strpad('stim_offset in component membrane (second)');
LEGEND_CONSTANTS(:,6) = strpad('stim_period in component membrane (second)');
LEGEND_CONSTANTS(:,7) = strpad('stim_duration in component membrane (second)');
LEGEND_CONSTANTS(:,8) = strpad('stim_amplitude in component membrane (pA_per_nF)');
LEGEND_ALGEBRAIC(:,2) = strpad('past in component membrane (second)');
LEGEND_ALGEBRAIC(:,36) = strpad('E_Na in component sodium_current (millivolt)');
LEGEND_CONSTANTS(:,9) = strpad('P_Na in component sodium_current (nanolitre_per_second)');
LEGEND_STATES(:,2) = strpad('Na_c in component cleft_space_ion_concentrations (millimolar)');
LEGEND_STATES(:,3) = strpad('Na_i in component intracellular_ion_concentrations (millimolar)');
LEGEND_STATES(:,4) = strpad('m in component sodium_current_m_gate (dimensionless)');
LEGEND_STATES(:,5) = strpad('h1 in component sodium_current_h1_gate (dimensionless)');
LEGEND_STATES(:,6) = strpad('h2 in component sodium_current_h2_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,15) = strpad('m_infinity in component sodium_current_m_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,3) = strpad('m_factor in component sodium_current_m_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,27) = strpad('tau_m in component sodium_current_m_gate (second)');
LEGEND_ALGEBRAIC(:,4) = strpad('h_infinity in component sodium_current_h1_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,16) = strpad('h_factor in component sodium_current_h1_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,28) = strpad('tau_h1 in component sodium_current_h1_gate (second)');
LEGEND_ALGEBRAIC(:,29) = strpad('tau_h2 in component sodium_current_h2_gate (second)');
LEGEND_CONSTANTS(:,10) = strpad('g_Ca_L in component L_type_Ca_channel (nanoS)');
LEGEND_CONSTANTS(:,11) = strpad('E_Ca_app in component L_type_Ca_channel (millivolt)');
LEGEND_ALGEBRAIC(:,40) = strpad('f_Ca in component L_type_Ca_channel (dimensionless)');
LEGEND_CONSTANTS(:,12) = strpad('k_Ca in component L_type_Ca_channel (millimolar)');
LEGEND_STATES(:,7) = strpad('Ca_d in component intracellular_ion_concentrations (millimolar)');
LEGEND_STATES(:,8) = strpad('d_L in component L_type_Ca_channel_d_L_gate (dimensionless)');
LEGEND_STATES(:,9) = strpad('f_L1 in component L_type_Ca_channel_f_L1_gate (dimensionless)');
LEGEND_STATES(:,10) = strpad('f_L2 in component L_type_Ca_channel_f_L2_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,5) = strpad('d_L_infinity in component L_type_Ca_channel_d_L_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,17) = strpad('d_L_factor in component L_type_Ca_channel_d_L_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,30) = strpad('tau_d_L in component L_type_Ca_channel_d_L_gate (second)');
LEGEND_ALGEBRAIC(:,6) = strpad('f_L_infinity in component L_type_Ca_channel_f_L1_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,18) = strpad('f_L_factor in component L_type_Ca_channel_f_L1_gate (millivolt)');
LEGEND_ALGEBRAIC(:,31) = strpad('tau_f_L1 in component L_type_Ca_channel_f_L1_gate (second)');
LEGEND_ALGEBRAIC(:,32) = strpad('tau_f_L2 in component L_type_Ca_channel_f_L2_gate (second)');
LEGEND_ALGEBRAIC(:,44) = strpad('E_K in component Ca_independent_transient_outward_K_current (millivolt)');
LEGEND_CONSTANTS(:,13) = strpad('g_t in component Ca_independent_transient_outward_K_current (nanoS)');
LEGEND_STATES(:,11) = strpad('K_c in component cleft_space_ion_concentrations (millimolar)');
LEGEND_STATES(:,12) = strpad('K_i in component intracellular_ion_concentrations (millimolar)');
LEGEND_STATES(:,13) = strpad('r in component Ca_independent_transient_outward_K_current_r_gate (dimensionless)');
LEGEND_STATES(:,14) = strpad('s in component Ca_independent_transient_outward_K_current_s_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,19) = strpad('tau_r in component Ca_independent_transient_outward_K_current_r_gate (second)');
LEGEND_ALGEBRAIC(:,7) = strpad('r_infinity in component Ca_independent_transient_outward_K_current_r_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,33) = strpad('tau_s in component Ca_independent_transient_outward_K_current_s_gate (second)');
LEGEND_ALGEBRAIC(:,8) = strpad('s_infinity in component Ca_independent_transient_outward_K_current_s_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,20) = strpad('s_factor in component Ca_independent_transient_outward_K_current_s_gate (dimensionless)');
LEGEND_CONSTANTS(:,14) = strpad('g_kur in component ultra_rapid_K_current (nanoS)');
LEGEND_STATES(:,15) = strpad('a_ur in component ultra_rapid_K_current_aur_gate (dimensionless)');
LEGEND_STATES(:,16) = strpad('i_ur in component ultra_rapid_K_current_iur_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,9) = strpad('a_ur_infinity in component ultra_rapid_K_current_aur_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,21) = strpad('tau_a_ur in component ultra_rapid_K_current_aur_gate (second)');
LEGEND_ALGEBRAIC(:,10) = strpad('i_ur_infinity in component ultra_rapid_K_current_iur_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,22) = strpad('tau_i_ur in component ultra_rapid_K_current_iur_gate (second)');
LEGEND_CONSTANTS(:,15) = strpad('g_K1 in component inward_rectifier (nanoS)');
LEGEND_CONSTANTS(:,16) = strpad('g_Ks in component delayed_rectifier_K_currents (nanoS)');
LEGEND_CONSTANTS(:,17) = strpad('g_Kr in component delayed_rectifier_K_currents (nanoS)');
LEGEND_STATES(:,17) = strpad('n in component delayed_rectifier_K_currents_n_gate (dimensionless)');
LEGEND_STATES(:,18) = strpad('pa in component delayed_rectifier_K_currents_pa_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,49) = strpad('pip in component delayed_rectifier_K_currents_pi_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,34) = strpad('tau_n in component delayed_rectifier_K_currents_n_gate (second)');
LEGEND_ALGEBRAIC(:,11) = strpad('n_infinity in component delayed_rectifier_K_currents_n_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,23) = strpad('n_factor in component delayed_rectifier_K_currents_n_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,35) = strpad('tau_pa in component delayed_rectifier_K_currents_pa_gate (second)');
LEGEND_ALGEBRAIC(:,24) = strpad('pa_factor in component delayed_rectifier_K_currents_pa_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,12) = strpad('p_a_infinity in component delayed_rectifier_K_currents_pa_gate (dimensionless)');
LEGEND_CONSTANTS(:,18) = strpad('g_B_Na in component background_currents (nanoS)');
LEGEND_CONSTANTS(:,19) = strpad('g_B_Ca in component background_currents (nanoS)');
LEGEND_ALGEBRAIC(:,52) = strpad('E_Ca in component background_currents (millivolt)');
LEGEND_STATES(:,19) = strpad('Ca_c in component cleft_space_ion_concentrations (millimolar)');
LEGEND_STATES(:,20) = strpad('Ca_i in component intracellular_ion_concentrations (millimolar)');
LEGEND_CONSTANTS(:,20) = strpad('K_NaK_K in component sodium_potassium_pump (millimolar)');
LEGEND_CONSTANTS(:,21) = strpad('i_NaK_max in component sodium_potassium_pump (picoA)');
LEGEND_CONSTANTS(:,22) = strpad('pow_K_NaK_Na_15 in component sodium_potassium_pump (millimolar15)');
LEGEND_ALGEBRAIC(:,54) = strpad('pow_Na_i_15 in component sodium_potassium_pump (millimolar15)');
LEGEND_CONSTANTS(:,23) = strpad('i_CaP_max in component sarcolemmal_calcium_pump_current (picoA)');
LEGEND_CONSTANTS(:,24) = strpad('k_CaP in component sarcolemmal_calcium_pump_current (millimolar)');
LEGEND_CONSTANTS(:,25) = strpad('K_NaCa in component Na_Ca_ion_exchanger_current (picoA_per_millimolar_4)');
LEGEND_CONSTANTS(:,26) = strpad('d_NaCa in component Na_Ca_ion_exchanger_current (per_millimolar_4)');
LEGEND_CONSTANTS(:,27) = strpad('gamma_Na in component Na_Ca_ion_exchanger_current (dimensionless)');
LEGEND_CONSTANTS(:,28) = strpad('ACh in component ACh_dependent_K_current (millimolar)');
LEGEND_CONSTANTS(:,29) = strpad('phi_Na_en in component intracellular_ion_concentrations (picoA)');
LEGEND_CONSTANTS(:,30) = strpad('Vol_i in component intracellular_ion_concentrations (nanolitre)');
LEGEND_CONSTANTS(:,31) = strpad('Vol_d in component intracellular_ion_concentrations (nanolitre)');
LEGEND_ALGEBRAIC(:,59) = strpad('i_di in component intracellular_ion_concentrations (picoA)');
LEGEND_CONSTANTS(:,32) = strpad('tau_di in component intracellular_ion_concentrations (second)');
LEGEND_ALGEBRAIC(:,68) = strpad('i_up in component Ca_handling_by_the_SR (picoA)');
LEGEND_ALGEBRAIC(:,67) = strpad('i_rel in component Ca_handling_by_the_SR (picoA)');
LEGEND_ALGEBRAIC(:,64) = strpad('J_O in component intracellular_Ca_buffering (per_second)');
LEGEND_STATES(:,21) = strpad('O_C in component intracellular_Ca_buffering (dimensionless)');
LEGEND_STATES(:,22) = strpad('O_TC in component intracellular_Ca_buffering (dimensionless)');
LEGEND_STATES(:,23) = strpad('O_TMgC in component intracellular_Ca_buffering (dimensionless)');
LEGEND_STATES(:,24) = strpad('O_TMgMg in component intracellular_Ca_buffering (dimensionless)');
LEGEND_STATES(:,25) = strpad('O in component intracellular_Ca_buffering (dimensionless)');
LEGEND_ALGEBRAIC(:,61) = strpad('J_O_C in component intracellular_Ca_buffering (per_second)');
LEGEND_ALGEBRAIC(:,62) = strpad('J_O_TC in component intracellular_Ca_buffering (per_second)');
LEGEND_ALGEBRAIC(:,63) = strpad('J_O_TMgC in component intracellular_Ca_buffering (per_second)');
LEGEND_ALGEBRAIC(:,13) = strpad('J_O_TMgMg in component intracellular_Ca_buffering (per_second)');
LEGEND_CONSTANTS(:,33) = strpad('Mg_i in component intracellular_Ca_buffering (millimolar)');
LEGEND_CONSTANTS(:,34) = strpad('Vol_c in component cleft_space_ion_concentrations (nanolitre)');
LEGEND_CONSTANTS(:,35) = strpad('tau_Na in component cleft_space_ion_concentrations (second)');
LEGEND_CONSTANTS(:,36) = strpad('tau_K in component cleft_space_ion_concentrations (second)');
LEGEND_CONSTANTS(:,37) = strpad('tau_Ca in component cleft_space_ion_concentrations (second)');
LEGEND_CONSTANTS(:,38) = strpad('Na_b in component cleft_space_ion_concentrations (millimolar)');
LEGEND_CONSTANTS(:,39) = strpad('Ca_b in component cleft_space_ion_concentrations (millimolar)');
LEGEND_CONSTANTS(:,40) = strpad('K_b in component cleft_space_ion_concentrations (millimolar)');
LEGEND_ALGEBRAIC(:,69) = strpad('i_tr in component Ca_handling_by_the_SR (picoA)');
LEGEND_CONSTANTS(:,41) = strpad('I_up_max in component Ca_handling_by_the_SR (picoA)');
LEGEND_CONSTANTS(:,42) = strpad('k_cyca in component Ca_handling_by_the_SR (millimolar)');
LEGEND_CONSTANTS(:,43) = strpad('k_srca in component Ca_handling_by_the_SR (millimolar)');
LEGEND_CONSTANTS(:,44) = strpad('k_xcs in component Ca_handling_by_the_SR (dimensionless)');
LEGEND_CONSTANTS(:,45) = strpad('alpha_rel in component Ca_handling_by_the_SR (picoA_per_millimolar)');
LEGEND_STATES(:,26) = strpad('Ca_rel in component Ca_handling_by_the_SR (millimolar)');
LEGEND_STATES(:,27) = strpad('Ca_up in component Ca_handling_by_the_SR (millimolar)');
LEGEND_CONSTANTS(:,46) = strpad('Vol_up in component Ca_handling_by_the_SR (nanolitre)');
LEGEND_CONSTANTS(:,47) = strpad('Vol_rel in component Ca_handling_by_the_SR (nanolitre)');
LEGEND_ALGEBRAIC(:,41) = strpad('r_act in component Ca_handling_by_the_SR (per_second)');
LEGEND_ALGEBRAIC(:,43) = strpad('r_inact in component Ca_handling_by_the_SR (per_second)');
LEGEND_CONSTANTS(:,48) = strpad('r_recov in component Ca_handling_by_the_SR (per_second)');
LEGEND_ALGEBRAIC(:,14) = strpad('r_Ca_d_term in component Ca_handling_by_the_SR (dimensionless)');
LEGEND_ALGEBRAIC(:,26) = strpad('r_Ca_i_term in component Ca_handling_by_the_SR (dimensionless)');
LEGEND_ALGEBRAIC(:,37) = strpad('r_Ca_d_factor in component Ca_handling_by_the_SR (dimensionless)');
LEGEND_ALGEBRAIC(:,39) = strpad('r_Ca_i_factor in component Ca_handling_by_the_SR (dimensionless)');
LEGEND_ALGEBRAIC(:,65) = strpad('i_rel_f2 in component Ca_handling_by_the_SR (dimensionless)');
LEGEND_ALGEBRAIC(:,66) = strpad('i_rel_factor in component Ca_handling_by_the_SR (dimensionless)');
LEGEND_STATES(:,28) = strpad('O_Calse in component Ca_handling_by_the_SR (dimensionless)');
LEGEND_ALGEBRAIC(:,70) = strpad('J_O_Calse in component Ca_handling_by_the_SR (per_second)');
LEGEND_STATES(:,29) = strpad('F1 in component Ca_handling_by_the_SR (dimensionless)');
LEGEND_STATES(:,30) = strpad('F2 in component Ca_handling_by_the_SR (dimensionless)');
LEGEND_CONSTANTS(:,49) = strpad('tau_tr in component Ca_handling_by_the_SR (second)');
LEGEND_CONSTANTS(:,50) = strpad('k_rel_i in component Ca_handling_by_the_SR (millimolar)');
LEGEND_CONSTANTS(:,51) = strpad('k_rel_d in component Ca_handling_by_the_SR (millimolar)');
LEGEND_RATES(:,1) = strpad('d/dt V in component membrane (millivolt)');
LEGEND_RATES(:,4) = strpad('d/dt m in component sodium_current_m_gate (dimensionless)');
LEGEND_RATES(:,5) = strpad('d/dt h1 in component sodium_current_h1_gate (dimensionless)');
LEGEND_RATES(:,6) = strpad('d/dt h2 in component sodium_current_h2_gate (dimensionless)');
LEGEND_RATES(:,8) = strpad('d/dt d_L in component L_type_Ca_channel_d_L_gate (dimensionless)');
LEGEND_RATES(:,9) = strpad('d/dt f_L1 in component L_type_Ca_channel_f_L1_gate (dimensionless)');
LEGEND_RATES(:,10) = strpad('d/dt f_L2 in component L_type_Ca_channel_f_L2_gate (dimensionless)');
LEGEND_RATES(:,13) = strpad('d/dt r in component Ca_independent_transient_outward_K_current_r_gate (dimensionless)');
LEGEND_RATES(:,14) = strpad('d/dt s in component Ca_independent_transient_outward_K_current_s_gate (dimensionless)');
LEGEND_RATES(:,15) = strpad('d/dt a_ur in component ultra_rapid_K_current_aur_gate (dimensionless)');
LEGEND_RATES(:,16) = strpad('d/dt i_ur in component ultra_rapid_K_current_iur_gate (dimensionless)');
LEGEND_RATES(:,17) = strpad('d/dt n in component delayed_rectifier_K_currents_n_gate (dimensionless)');
LEGEND_RATES(:,18) = strpad('d/dt pa in component delayed_rectifier_K_currents_pa_gate (dimensionless)');
LEGEND_RATES(:,12) = strpad('d/dt K_i in component intracellular_ion_concentrations (millimolar)');
LEGEND_RATES(:,3) = strpad('d/dt Na_i in component intracellular_ion_concentrations (millimolar)');
LEGEND_RATES(:,20) = strpad('d/dt Ca_i in component intracellular_ion_concentrations (millimolar)');
LEGEND_RATES(:,7) = strpad('d/dt Ca_d in component intracellular_ion_concentrations (millimolar)');
LEGEND_RATES(:,21) = strpad('d/dt O_C in component intracellular_Ca_buffering (dimensionless)');
LEGEND_RATES(:,22) = strpad('d/dt O_TC in component intracellular_Ca_buffering (dimensionless)');
LEGEND_RATES(:,23) = strpad('d/dt O_TMgC in component intracellular_Ca_buffering (dimensionless)');
LEGEND_RATES(:,24) = strpad('d/dt O_TMgMg in component intracellular_Ca_buffering (dimensionless)');
LEGEND_RATES(:,25) = strpad('d/dt O in component intracellular_Ca_buffering (dimensionless)');
LEGEND_RATES(:,19) = strpad('d/dt Ca_c in component cleft_space_ion_concentrations (millimolar)');
LEGEND_RATES(:,11) = strpad('d/dt K_c in component cleft_space_ion_concentrations (millimolar)');
LEGEND_RATES(:,2) = strpad('d/dt Na_c in component cleft_space_ion_concentrations (millimolar)');
LEGEND_RATES(:,29) = strpad('d/dt F1 in component Ca_handling_by_the_SR (dimensionless)');
LEGEND_RATES(:,30) = strpad('d/dt F2 in component Ca_handling_by_the_SR (dimensionless)');
LEGEND_RATES(:,28) = strpad('d/dt O_Calse in component Ca_handling_by_the_SR (dimensionless)');
LEGEND_RATES(:,27) = strpad('d/dt Ca_up in component Ca_handling_by_the_SR (millimolar)');
LEGEND_RATES(:,26) = strpad('d/dt Ca_rel in component Ca_handling_by_the_SR (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) = -74.031982;
CONSTANTS(:,1) = 8314;
CONSTANTS(:,2) = 306.15;
CONSTANTS(:,3) = 96487;
CONSTANTS(:,4) = 50;
CONSTANTS(:,5) = 0;
CONSTANTS(:,6) = 1;
CONSTANTS(:,7) = 0.006;
CONSTANTS(:,8) = -15;
CONSTANTS(:,9) = 0.0018;
STATES(:,2) = 130.022096;
STATES(:,3) = 8.516766;
STATES(:,4) = 0.003289;
STATES(:,5) = 0.877202;
STATES(:,6) = 0.873881;
CONSTANTS(:,10) = 6.75;
CONSTANTS(:,11) = 60;
CONSTANTS(:,12) = 0.025;
STATES(:,7) = 7.1e-5;
STATES(:,8) = 0.000014;
STATES(:,9) = 0.998597;
STATES(:,10) = 0.998586;
CONSTANTS(:,13) = 8.25;
STATES(:,11) = 5.560224;
STATES(:,12) = 129.485991;
STATES(:,13) = 0.001089;
STATES(:,14) = 0.948597;
CONSTANTS(:,14) = 2.25;
STATES(:,15) = 0.000367;
STATES(:,16) = 0.96729;
CONSTANTS(:,15) = 3.1;
CONSTANTS(:,16) = 1;
CONSTANTS(:,17) = 0.5;
STATES(:,17) = 0.004374;
STATES(:,18) = 0.000053;
CONSTANTS(:,18) = 0.060599;
CONSTANTS(:,19) = 0.078681;
STATES(:,19) = 1.815768;
STATES(:,20) = 6.5e-5;
CONSTANTS(:,20) = 1;
CONSTANTS(:,21) = 68.55;
CONSTANTS(:,22) = 36.4829;
CONSTANTS(:,23) = 4;
CONSTANTS(:,24) = 0.0002;
CONSTANTS(:,25) = 0.0374842;
CONSTANTS(:,26) = 0.0003;
CONSTANTS(:,27) = 0.45;
CONSTANTS(:,28) = 1e-24;
CONSTANTS(:,29) = 0;
CONSTANTS(:,30) = 0.005884;
CONSTANTS(:,31) = 0.00011768;
CONSTANTS(:,32) = 0.01;
STATES(:,21) = 0.026766;
STATES(:,22) = 0.012922;
STATES(:,23) = 0.190369;
STATES(:,24) = 0.714463;
STATES(:,25) = 1.38222;
CONSTANTS(:,33) = 2.5;
CONSTANTS(:,34) = 0.000800224;
CONSTANTS(:,35) = 14.3;
CONSTANTS(:,36) = 10;
CONSTANTS(:,37) = 24.7;
CONSTANTS(:,38) = 130;
CONSTANTS(:,39) = 1.8;
CONSTANTS(:,40) = 5.4;
CONSTANTS(:,41) = 2800;
CONSTANTS(:,42) = 0.0003;
CONSTANTS(:,43) = 0.5;
CONSTANTS(:,44) = 0.4;
CONSTANTS(:,45) = 200000;
STATES(:,26) = 0.632613;
STATES(:,27) = 0.649195;
CONSTANTS(:,46) = 0.0003969;
CONSTANTS(:,47) = 0.0000441;
CONSTANTS(:,48) = 0.815;
STATES(:,28) = 0.431547;
STATES(:,29) = 0.470055;
STATES(:,30) = 0.002814;
CONSTANTS(:,49) = 0.01;
CONSTANTS(:,50) = 0.0003;
CONSTANTS(:,51) = 0.003;
if (isempty(STATES)), warning('Initial values for states not set');, end
end
function [RATES, ALGEBRAIC] = computeRates(VOI, STATES, CONSTANTS)
global algebraicVariableCount;
statesSize = size(STATES);
statesColumnCount = statesSize(2);
if ( statesColumnCount == 1)
STATES = STATES';
ALGEBRAIC = zeros(1, algebraicVariableCount);
utilOnes = 1;
else
statesRowCount = statesSize(1);
ALGEBRAIC = zeros(statesRowCount, algebraicVariableCount);
RATES = zeros(statesRowCount, statesColumnCount);
utilOnes = ones(statesRowCount, 1);
end
ALGEBRAIC(:,13) = 2000.00.*CONSTANTS(:,33).*((1.00000 - STATES(:,23)) - STATES(:,24)) - 666.000.*STATES(:,24);
RATES(:,24) = ALGEBRAIC(:,13);
ALGEBRAIC(:,19) = 0.00350000.*exp((( - STATES(:,1).*STATES(:,1))./30.0000)./30.0000)+0.00150000;
ALGEBRAIC(:,7) = 1.00000./(1.00000+exp((STATES(:,1) - 1.00000)./ - 11.0000));
RATES(:,13) = (ALGEBRAIC(:,7) - STATES(:,13))./ALGEBRAIC(:,19);
ALGEBRAIC(:,9) = 1.00000./(1.00000+exp( - (STATES(:,1)+6.00000)./8.60000));
ALGEBRAIC(:,21) = 0.00900000./(1.00000+exp((STATES(:,1)+5.00000)./12.0000))+0.000500000;
RATES(:,15) = (ALGEBRAIC(:,9) - STATES(:,15))./ALGEBRAIC(:,21);
ALGEBRAIC(:,10) = 1.00000./(1.00000+exp((STATES(:,1)+7.50000)./10.0000));
ALGEBRAIC(:,22) = 0.590000./(1.00000+exp((STATES(:,1)+60.0000)./10.0000))+3.05000;
RATES(:,16) = (ALGEBRAIC(:,10) - STATES(:,16))./ALGEBRAIC(:,22);
ALGEBRAIC(:,15) = 1.00000./(1.00000+exp((STATES(:,1)+27.1200)./ - 8.21000));
ALGEBRAIC(:,3) = (STATES(:,1)+25.5700)./28.8000;
ALGEBRAIC(:,27) = 4.20000e-05.*exp( - ALGEBRAIC(:,3).*ALGEBRAIC(:,3))+2.40000e-05;
RATES(:,4) = (ALGEBRAIC(:,15) - STATES(:,4))./ALGEBRAIC(:,27);
ALGEBRAIC(:,4) = 1.00000./(1.00000+exp((STATES(:,1)+63.6000)./5.30000));
ALGEBRAIC(:,16) = 1.00000./(1.00000+exp((STATES(:,1)+35.1000)./3.20000));
ALGEBRAIC(:,28) = 0.0300000.*ALGEBRAIC(:,16)+0.000300000;
RATES(:,5) = (ALGEBRAIC(:,4) - STATES(:,5))./ALGEBRAIC(:,28);
ALGEBRAIC(:,29) = 0.120000.*ALGEBRAIC(:,16)+0.00300000;
RATES(:,6) = (ALGEBRAIC(:,4) - STATES(:,6))./ALGEBRAIC(:,29);
ALGEBRAIC(:,5) = 1.00000./(1.00000+exp((STATES(:,1)+9.00000)./ - 5.80000));
ALGEBRAIC(:,17) = (STATES(:,1)+35.0000)./30.0000;
ALGEBRAIC(:,30) = 0.00270000.*exp( - ALGEBRAIC(:,17).*ALGEBRAIC(:,17))+0.00200000;
RATES(:,8) = (ALGEBRAIC(:,5) - STATES(:,8))./ALGEBRAIC(:,30);
ALGEBRAIC(:,6) = 1.00000./(1.00000+exp((STATES(:,1)+27.4000)./7.10000));
ALGEBRAIC(:,18) = STATES(:,1)+40.0000;
ALGEBRAIC(:,31) = 0.161000.*exp((( - ALGEBRAIC(:,18).*ALGEBRAIC(:,18))./14.4000)./14.4000)+0.0100000;
RATES(:,9) = (ALGEBRAIC(:,6) - STATES(:,9))./ALGEBRAIC(:,31);
ALGEBRAIC(:,32) = 1.33230.*exp((( - ALGEBRAIC(:,18).*ALGEBRAIC(:,18))./14.2000)./14.2000)+0.0626000;
RATES(:,10) = (ALGEBRAIC(:,6) - STATES(:,10))./ALGEBRAIC(:,32);
ALGEBRAIC(:,20) = (STATES(:,1)+52.4500)./15.8827;
ALGEBRAIC(:,33) = 0.0256350.*exp( - ALGEBRAIC(:,20).*ALGEBRAIC(:,20))+0.0141400;
ALGEBRAIC(:,8) = 1.00000./(1.00000+exp((STATES(:,1)+40.5000)./11.5000));
RATES(:,14) = (ALGEBRAIC(:,8) - STATES(:,14))./ALGEBRAIC(:,33);
ALGEBRAIC(:,23) = (STATES(:,1) - 20.0000)./20.0000;
ALGEBRAIC(:,34) = 0.700000+ 0.400000.*exp( - ALGEBRAIC(:,23).*ALGEBRAIC(:,23));
ALGEBRAIC(:,11) = 1.00000./(1.00000+exp((STATES(:,1) - 19.9000)./ - 12.7000));
RATES(:,17) = (ALGEBRAIC(:,11) - STATES(:,17))./ALGEBRAIC(:,34);
ALGEBRAIC(:,24) = (STATES(:,1)+20.1376)./22.1996;
ALGEBRAIC(:,35) = 0.0311800+ 0.217180.*exp( - ALGEBRAIC(:,24).*ALGEBRAIC(:,24));
ALGEBRAIC(:,12) = 1.00000./(1.00000+exp((STATES(:,1)+15.0000)./ - 6.00000));
RATES(:,18) = (ALGEBRAIC(:,12) - STATES(:,18))./ALGEBRAIC(:,35);
ALGEBRAIC(:,14) = STATES(:,7)./(STATES(:,7)+CONSTANTS(:,51));
ALGEBRAIC(:,37) = ALGEBRAIC(:,14).*ALGEBRAIC(:,14).*ALGEBRAIC(:,14).*ALGEBRAIC(:,14);
ALGEBRAIC(:,26) = STATES(:,20)./(STATES(:,20)+CONSTANTS(:,50));
ALGEBRAIC(:,39) = ALGEBRAIC(:,26).*ALGEBRAIC(:,26).*ALGEBRAIC(:,26).*ALGEBRAIC(:,26);
ALGEBRAIC(:,41) = 203.800.*(ALGEBRAIC(:,39)+ALGEBRAIC(:,37));
RATES(:,29) = CONSTANTS(:,48).*((1.00000 - STATES(:,29)) - STATES(:,30)) - ALGEBRAIC(:,41).*STATES(:,29);
ALGEBRAIC(:,43) = 33.9600+ 339.600.*ALGEBRAIC(:,39);
RATES(:,30) = ALGEBRAIC(:,41).*STATES(:,29) - ALGEBRAIC(:,43).*STATES(:,30);
ALGEBRAIC(:,44) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(STATES(:,11)./STATES(:,12));
ALGEBRAIC(:,45) = CONSTANTS(:,13).*STATES(:,13).*STATES(:,14).*(STATES(:,1) - ALGEBRAIC(:,44));
ALGEBRAIC(:,46) = CONSTANTS(:,14).*STATES(:,15).*STATES(:,16).*(STATES(:,1) - ALGEBRAIC(:,44));
ALGEBRAIC(:,47) = ( CONSTANTS(:,15).*power(STATES(:,11)./1.00000, 0.445700).*(STATES(:,1) - ALGEBRAIC(:,44)))./(1.00000+exp(( 1.50000.*((STATES(:,1) - ALGEBRAIC(:,44))+3.60000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,49) = 1.00000./(1.00000+exp((STATES(:,1)+55.0000)./24.0000));
ALGEBRAIC(:,50) = CONSTANTS(:,17).*STATES(:,18).*ALGEBRAIC(:,49).*(STATES(:,1) - ALGEBRAIC(:,44));
ALGEBRAIC(:,48) = CONSTANTS(:,16).*STATES(:,17).*(STATES(:,1) - ALGEBRAIC(:,44));
ALGEBRAIC(:,54) = power(STATES(:,3), 1.50000);
ALGEBRAIC(:,55) = ( (( (( CONSTANTS(:,21).*STATES(:,11))./(STATES(:,11)+CONSTANTS(:,20))).*ALGEBRAIC(:,54))./(ALGEBRAIC(:,54)+CONSTANTS(:,22))).*(STATES(:,1)+150.000))./(STATES(:,1)+200.000);
ALGEBRAIC(:,2) = floor(VOI./CONSTANTS(:,6)).*CONSTANTS(:,6);
ALGEBRAIC(:,25) = piecewise({VOI - ALGEBRAIC(:,2)>=CONSTANTS(:,5)&VOI - ALGEBRAIC(:,2)<=CONSTANTS(:,5)+CONSTANTS(:,7), CONSTANTS(:,8) }, 0.00000);
RATES(:,12) = - (((ALGEBRAIC(:,45)+ALGEBRAIC(:,46)+ALGEBRAIC(:,47)+ALGEBRAIC(:,48)+ALGEBRAIC(:,50)) - 2.00000.*ALGEBRAIC(:,55))+ ALGEBRAIC(:,25).*CONSTANTS(:,4))./( CONSTANTS(:,30).*CONSTANTS(:,3));
RATES(:,11) = (CONSTANTS(:,40) - STATES(:,11))./CONSTANTS(:,36)+((ALGEBRAIC(:,45)+ALGEBRAIC(:,46)+ALGEBRAIC(:,47)+ALGEBRAIC(:,48)+ALGEBRAIC(:,50)) - 2.00000.*ALGEBRAIC(:,55))./( CONSTANTS(:,34).*CONSTANTS(:,3));
ALGEBRAIC(:,36) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(STATES(:,2)./STATES(:,3));
ALGEBRAIC(:,38) = ( (( CONSTANTS(:,9).*STATES(:,4).*STATES(:,4).*STATES(:,4).*( 0.900000.*STATES(:,5)+ 0.100000.*STATES(:,6)).*STATES(:,2).*STATES(:,1).*CONSTANTS(:,3).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*(exp(( (STATES(:,1) - ALGEBRAIC(:,36)).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000))./(exp(( STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000);
ALGEBRAIC(:,51) = CONSTANTS(:,18).*(STATES(:,1) - ALGEBRAIC(:,36));
ALGEBRAIC(:,57) = ( CONSTANTS(:,25).*( STATES(:,3).*STATES(:,3).*STATES(:,3).*STATES(:,19).*exp(( CONSTANTS(:,3).*STATES(:,1).*CONSTANTS(:,27))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - STATES(:,2).*STATES(:,2).*STATES(:,2).*STATES(:,20).*exp(( (CONSTANTS(:,27) - 1.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))))./(1.00000+ CONSTANTS(:,26).*( STATES(:,2).*STATES(:,2).*STATES(:,2).*STATES(:,20)+ STATES(:,3).*STATES(:,3).*STATES(:,3).*STATES(:,19)));
RATES(:,3) = - (ALGEBRAIC(:,38)+ALGEBRAIC(:,51)+ 3.00000.*ALGEBRAIC(:,57)+ 3.00000.*ALGEBRAIC(:,55)+CONSTANTS(:,29))./( CONSTANTS(:,30).*CONSTANTS(:,3));
ALGEBRAIC(:,40) = STATES(:,7)./(STATES(:,7)+CONSTANTS(:,12));
ALGEBRAIC(:,42) = CONSTANTS(:,10).*STATES(:,8).*( ALGEBRAIC(:,40).*STATES(:,9)+ (1.00000 - ALGEBRAIC(:,40)).*STATES(:,10)).*(STATES(:,1) - CONSTANTS(:,11));
ALGEBRAIC(:,52) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./( 2.00000.*CONSTANTS(:,3))).*log(STATES(:,19)./STATES(:,20));
ALGEBRAIC(:,53) = CONSTANTS(:,19).*(STATES(:,1) - ALGEBRAIC(:,52));
ALGEBRAIC(:,56) = ( CONSTANTS(:,23).*STATES(:,20))./(STATES(:,20)+CONSTANTS(:,24));
RATES(:,19) = (CONSTANTS(:,39) - STATES(:,19))./CONSTANTS(:,37)+((ALGEBRAIC(:,42)+ALGEBRAIC(:,53)+ALGEBRAIC(:,56)) - 2.00000.*ALGEBRAIC(:,57))./( 2.00000.*CONSTANTS(:,34).*CONSTANTS(:,3));
RATES(:,2) = (CONSTANTS(:,38) - STATES(:,2))./CONSTANTS(:,35)+(ALGEBRAIC(:,38)+ALGEBRAIC(:,51)+ 3.00000.*ALGEBRAIC(:,57)+ 3.00000.*ALGEBRAIC(:,55)+CONSTANTS(:,29))./( CONSTANTS(:,34).*CONSTANTS(:,3));
ALGEBRAIC(:,59) = ( (STATES(:,7) - STATES(:,20)).*2.00000.*CONSTANTS(:,31).*CONSTANTS(:,3))./CONSTANTS(:,32);
RATES(:,7) = - (ALGEBRAIC(:,42)+ALGEBRAIC(:,59))./( 2.00000.*CONSTANTS(:,31).*CONSTANTS(:,3));
ALGEBRAIC(:,58) = (10.0000./(1.00000+( 9.13652.*power(1.00000, 0.477811))./power(CONSTANTS(:,28), 0.477811))).*(0.0517000+0.451600./(1.00000+exp((STATES(:,1)+59.5300)./17.1800))).*(STATES(:,1) - ALGEBRAIC(:,44)).*CONSTANTS(:,4);
ALGEBRAIC(:,60) = (ALGEBRAIC(:,38)+ALGEBRAIC(:,42)+ALGEBRAIC(:,45)+ALGEBRAIC(:,46)+ALGEBRAIC(:,47)+ALGEBRAIC(:,50)+ALGEBRAIC(:,48)+ALGEBRAIC(:,51)+ALGEBRAIC(:,53)+ALGEBRAIC(:,55)+ALGEBRAIC(:,56)+ALGEBRAIC(:,57)+ALGEBRAIC(:,58))./CONSTANTS(:,4)+ALGEBRAIC(:,25);
RATES(:,1) = - ALGEBRAIC(:,60).*1000.00;
ALGEBRAIC(:,61) = 200000..*STATES(:,20).*(1.00000 - STATES(:,21)) - 476.000.*STATES(:,21);
RATES(:,21) = ALGEBRAIC(:,61);
ALGEBRAIC(:,62) = 78400.0.*STATES(:,20).*(1.00000 - STATES(:,22)) - 392.000.*STATES(:,22);
RATES(:,22) = ALGEBRAIC(:,62);
ALGEBRAIC(:,63) = 200000..*STATES(:,20).*((1.00000 - STATES(:,23)) - STATES(:,24)) - 6.60000.*STATES(:,23);
RATES(:,23) = ALGEBRAIC(:,63);
ALGEBRAIC(:,64) = 0.0800000.*ALGEBRAIC(:,62)+ 0.160000.*ALGEBRAIC(:,63)+ 0.0450000.*ALGEBRAIC(:,61);
RATES(:,25) = ALGEBRAIC(:,64);
ALGEBRAIC(:,68) = ( CONSTANTS(:,41).*(STATES(:,20)./CONSTANTS(:,42) - ( CONSTANTS(:,44).*CONSTANTS(:,44).*STATES(:,27))./CONSTANTS(:,43)))./((STATES(:,20)+CONSTANTS(:,42))./CONSTANTS(:,42)+( CONSTANTS(:,44).*(STATES(:,27)+CONSTANTS(:,43)))./CONSTANTS(:,43));
ALGEBRAIC(:,65) = STATES(:,30)./(STATES(:,30)+0.250000);
ALGEBRAIC(:,66) = ALGEBRAIC(:,65).*ALGEBRAIC(:,65);
ALGEBRAIC(:,67) = CONSTANTS(:,45).*ALGEBRAIC(:,66).*(STATES(:,26) - STATES(:,20));
RATES(:,20) = - ((ALGEBRAIC(:,53)+ALGEBRAIC(:,56)+ALGEBRAIC(:,68)) - (ALGEBRAIC(:,59)+ALGEBRAIC(:,67)+ 2.00000.*ALGEBRAIC(:,57)))./( 2.00000.*CONSTANTS(:,30).*CONSTANTS(:,3)) - 1.00000.*ALGEBRAIC(:,64);
ALGEBRAIC(:,69) = ( (STATES(:,27) - STATES(:,26)).*2.00000.*CONSTANTS(:,47).*CONSTANTS(:,3))./CONSTANTS(:,49);
RATES(:,27) = (ALGEBRAIC(:,68) - ALGEBRAIC(:,69))./( 2.00000.*CONSTANTS(:,46).*CONSTANTS(:,3));
ALGEBRAIC(:,70) = 480.000.*STATES(:,26).*(1.00000 - STATES(:,28)) - 400.000.*STATES(:,28);
RATES(:,28) = ALGEBRAIC(:,70);
RATES(:,26) = (ALGEBRAIC(:,69) - ALGEBRAIC(:,67))./( 2.00000.*CONSTANTS(:,47).*CONSTANTS(:,3)) - 31.0000.*ALGEBRAIC(:,70);
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(:,13) = 2000.00.*CONSTANTS(:,33).*((1.00000 - STATES(:,23)) - STATES(:,24)) - 666.000.*STATES(:,24);
ALGEBRAIC(:,19) = 0.00350000.*exp((( - STATES(:,1).*STATES(:,1))./30.0000)./30.0000)+0.00150000;
ALGEBRAIC(:,7) = 1.00000./(1.00000+exp((STATES(:,1) - 1.00000)./ - 11.0000));
ALGEBRAIC(:,9) = 1.00000./(1.00000+exp( - (STATES(:,1)+6.00000)./8.60000));
ALGEBRAIC(:,21) = 0.00900000./(1.00000+exp((STATES(:,1)+5.00000)./12.0000))+0.000500000;
ALGEBRAIC(:,10) = 1.00000./(1.00000+exp((STATES(:,1)+7.50000)./10.0000));
ALGEBRAIC(:,22) = 0.590000./(1.00000+exp((STATES(:,1)+60.0000)./10.0000))+3.05000;
ALGEBRAIC(:,15) = 1.00000./(1.00000+exp((STATES(:,1)+27.1200)./ - 8.21000));
ALGEBRAIC(:,3) = (STATES(:,1)+25.5700)./28.8000;
ALGEBRAIC(:,27) = 4.20000e-05.*exp( - ALGEBRAIC(:,3).*ALGEBRAIC(:,3))+2.40000e-05;
ALGEBRAIC(:,4) = 1.00000./(1.00000+exp((STATES(:,1)+63.6000)./5.30000));
ALGEBRAIC(:,16) = 1.00000./(1.00000+exp((STATES(:,1)+35.1000)./3.20000));
ALGEBRAIC(:,28) = 0.0300000.*ALGEBRAIC(:,16)+0.000300000;
ALGEBRAIC(:,29) = 0.120000.*ALGEBRAIC(:,16)+0.00300000;
ALGEBRAIC(:,5) = 1.00000./(1.00000+exp((STATES(:,1)+9.00000)./ - 5.80000));
ALGEBRAIC(:,17) = (STATES(:,1)+35.0000)./30.0000;
ALGEBRAIC(:,30) = 0.00270000.*exp( - ALGEBRAIC(:,17).*ALGEBRAIC(:,17))+0.00200000;
ALGEBRAIC(:,6) = 1.00000./(1.00000+exp((STATES(:,1)+27.4000)./7.10000));
ALGEBRAIC(:,18) = STATES(:,1)+40.0000;
ALGEBRAIC(:,31) = 0.161000.*exp((( - ALGEBRAIC(:,18).*ALGEBRAIC(:,18))./14.4000)./14.4000)+0.0100000;
ALGEBRAIC(:,32) = 1.33230.*exp((( - ALGEBRAIC(:,18).*ALGEBRAIC(:,18))./14.2000)./14.2000)+0.0626000;
ALGEBRAIC(:,20) = (STATES(:,1)+52.4500)./15.8827;
ALGEBRAIC(:,33) = 0.0256350.*exp( - ALGEBRAIC(:,20).*ALGEBRAIC(:,20))+0.0141400;
ALGEBRAIC(:,8) = 1.00000./(1.00000+exp((STATES(:,1)+40.5000)./11.5000));
ALGEBRAIC(:,23) = (STATES(:,1) - 20.0000)./20.0000;
ALGEBRAIC(:,34) = 0.700000+ 0.400000.*exp( - ALGEBRAIC(:,23).*ALGEBRAIC(:,23));
ALGEBRAIC(:,11) = 1.00000./(1.00000+exp((STATES(:,1) - 19.9000)./ - 12.7000));
ALGEBRAIC(:,24) = (STATES(:,1)+20.1376)./22.1996;
ALGEBRAIC(:,35) = 0.0311800+ 0.217180.*exp( - ALGEBRAIC(:,24).*ALGEBRAIC(:,24));
ALGEBRAIC(:,12) = 1.00000./(1.00000+exp((STATES(:,1)+15.0000)./ - 6.00000));
ALGEBRAIC(:,14) = STATES(:,7)./(STATES(:,7)+CONSTANTS(:,51));
ALGEBRAIC(:,37) = ALGEBRAIC(:,14).*ALGEBRAIC(:,14).*ALGEBRAIC(:,14).*ALGEBRAIC(:,14);
ALGEBRAIC(:,26) = STATES(:,20)./(STATES(:,20)+CONSTANTS(:,50));
ALGEBRAIC(:,39) = ALGEBRAIC(:,26).*ALGEBRAIC(:,26).*ALGEBRAIC(:,26).*ALGEBRAIC(:,26);
ALGEBRAIC(:,41) = 203.800.*(ALGEBRAIC(:,39)+ALGEBRAIC(:,37));
ALGEBRAIC(:,43) = 33.9600+ 339.600.*ALGEBRAIC(:,39);
ALGEBRAIC(:,44) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(STATES(:,11)./STATES(:,12));
ALGEBRAIC(:,45) = CONSTANTS(:,13).*STATES(:,13).*STATES(:,14).*(STATES(:,1) - ALGEBRAIC(:,44));
ALGEBRAIC(:,46) = CONSTANTS(:,14).*STATES(:,15).*STATES(:,16).*(STATES(:,1) - ALGEBRAIC(:,44));
ALGEBRAIC(:,47) = ( CONSTANTS(:,15).*power(STATES(:,11)./1.00000, 0.445700).*(STATES(:,1) - ALGEBRAIC(:,44)))./(1.00000+exp(( 1.50000.*((STATES(:,1) - ALGEBRAIC(:,44))+3.60000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,49) = 1.00000./(1.00000+exp((STATES(:,1)+55.0000)./24.0000));
ALGEBRAIC(:,50) = CONSTANTS(:,17).*STATES(:,18).*ALGEBRAIC(:,49).*(STATES(:,1) - ALGEBRAIC(:,44));
ALGEBRAIC(:,48) = CONSTANTS(:,16).*STATES(:,17).*(STATES(:,1) - ALGEBRAIC(:,44));
ALGEBRAIC(:,54) = power(STATES(:,3), 1.50000);
ALGEBRAIC(:,55) = ( (( (( CONSTANTS(:,21).*STATES(:,11))./(STATES(:,11)+CONSTANTS(:,20))).*ALGEBRAIC(:,54))./(ALGEBRAIC(:,54)+CONSTANTS(:,22))).*(STATES(:,1)+150.000))./(STATES(:,1)+200.000);
ALGEBRAIC(:,2) = floor(VOI./CONSTANTS(:,6)).*CONSTANTS(:,6);
ALGEBRAIC(:,25) = piecewise({VOI - ALGEBRAIC(:,2)>=CONSTANTS(:,5)&VOI - ALGEBRAIC(:,2)<=CONSTANTS(:,5)+CONSTANTS(:,7), CONSTANTS(:,8) }, 0.00000);
ALGEBRAIC(:,36) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(STATES(:,2)./STATES(:,3));
ALGEBRAIC(:,38) = ( (( CONSTANTS(:,9).*STATES(:,4).*STATES(:,4).*STATES(:,4).*( 0.900000.*STATES(:,5)+ 0.100000.*STATES(:,6)).*STATES(:,2).*STATES(:,1).*CONSTANTS(:,3).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*(exp(( (STATES(:,1) - ALGEBRAIC(:,36)).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000))./(exp(( STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000);
ALGEBRAIC(:,51) = CONSTANTS(:,18).*(STATES(:,1) - ALGEBRAIC(:,36));
ALGEBRAIC(:,57) = ( CONSTANTS(:,25).*( STATES(:,3).*STATES(:,3).*STATES(:,3).*STATES(:,19).*exp(( CONSTANTS(:,3).*STATES(:,1).*CONSTANTS(:,27))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - STATES(:,2).*STATES(:,2).*STATES(:,2).*STATES(:,20).*exp(( (CONSTANTS(:,27) - 1.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))))./(1.00000+ CONSTANTS(:,26).*( STATES(:,2).*STATES(:,2).*STATES(:,2).*STATES(:,20)+ STATES(:,3).*STATES(:,3).*STATES(:,3).*STATES(:,19)));
ALGEBRAIC(:,40) = STATES(:,7)./(STATES(:,7)+CONSTANTS(:,12));
ALGEBRAIC(:,42) = CONSTANTS(:,10).*STATES(:,8).*( ALGEBRAIC(:,40).*STATES(:,9)+ (1.00000 - ALGEBRAIC(:,40)).*STATES(:,10)).*(STATES(:,1) - CONSTANTS(:,11));
ALGEBRAIC(:,52) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./( 2.00000.*CONSTANTS(:,3))).*log(STATES(:,19)./STATES(:,20));
ALGEBRAIC(:,53) = CONSTANTS(:,19).*(STATES(:,1) - ALGEBRAIC(:,52));
ALGEBRAIC(:,56) = ( CONSTANTS(:,23).*STATES(:,20))./(STATES(:,20)+CONSTANTS(:,24));
ALGEBRAIC(:,59) = ( (STATES(:,7) - STATES(:,20)).*2.00000.*CONSTANTS(:,31).*CONSTANTS(:,3))./CONSTANTS(:,32);
ALGEBRAIC(:,58) = (10.0000./(1.00000+( 9.13652.*power(1.00000, 0.477811))./power(CONSTANTS(:,28), 0.477811))).*(0.0517000+0.451600./(1.00000+exp((STATES(:,1)+59.5300)./17.1800))).*(STATES(:,1) - ALGEBRAIC(:,44)).*CONSTANTS(:,4);
ALGEBRAIC(:,60) = (ALGEBRAIC(:,38)+ALGEBRAIC(:,42)+ALGEBRAIC(:,45)+ALGEBRAIC(:,46)+ALGEBRAIC(:,47)+ALGEBRAIC(:,50)+ALGEBRAIC(:,48)+ALGEBRAIC(:,51)+ALGEBRAIC(:,53)+ALGEBRAIC(:,55)+ALGEBRAIC(:,56)+ALGEBRAIC(:,57)+ALGEBRAIC(:,58))./CONSTANTS(:,4)+ALGEBRAIC(:,25);
ALGEBRAIC(:,61) = 200000..*STATES(:,20).*(1.00000 - STATES(:,21)) - 476.000.*STATES(:,21);
ALGEBRAIC(:,62) = 78400.0.*STATES(:,20).*(1.00000 - STATES(:,22)) - 392.000.*STATES(:,22);
ALGEBRAIC(:,63) = 200000..*STATES(:,20).*((1.00000 - STATES(:,23)) - STATES(:,24)) - 6.60000.*STATES(:,23);
ALGEBRAIC(:,64) = 0.0800000.*ALGEBRAIC(:,62)+ 0.160000.*ALGEBRAIC(:,63)+ 0.0450000.*ALGEBRAIC(:,61);
ALGEBRAIC(:,68) = ( CONSTANTS(:,41).*(STATES(:,20)./CONSTANTS(:,42) - ( CONSTANTS(:,44).*CONSTANTS(:,44).*STATES(:,27))./CONSTANTS(:,43)))./((STATES(:,20)+CONSTANTS(:,42))./CONSTANTS(:,42)+( CONSTANTS(:,44).*(STATES(:,27)+CONSTANTS(:,43)))./CONSTANTS(:,43));
ALGEBRAIC(:,65) = STATES(:,30)./(STATES(:,30)+0.250000);
ALGEBRAIC(:,66) = ALGEBRAIC(:,65).*ALGEBRAIC(:,65);
ALGEBRAIC(:,67) = CONSTANTS(:,45).*ALGEBRAIC(:,66).*(STATES(:,26) - STATES(:,20));
ALGEBRAIC(:,69) = ( (STATES(:,27) - STATES(:,26)).*2.00000.*CONSTANTS(:,47).*CONSTANTS(:,3))./CONSTANTS(:,49);
ALGEBRAIC(:,70) = 480.000.*STATES(:,26).*(1.00000 - STATES(:,28)) - 400.000.*STATES(:,28);
ALGEBRAIC(:,1) = 0.0500000.*STATES(:,1);
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