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 =75;
end
% There are a total of 21 entries in each of the rate and state variable arrays.
% There are a total of 49 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('R in component membrane (joule_per_mole_kelvin)');
LEGEND_CONSTANTS(:,2) = strpad('T in component membrane (kelvin)');
LEGEND_CONSTANTS(:,3) = strpad('F in component membrane (coulomb_per_millimole)');
LEGEND_CONSTANTS(:,4) = strpad('Cm in component membrane (picoF)');
LEGEND_ALGEBRAIC(:,1) = strpad('i_st in component membrane (picoA)');
LEGEND_ALGEBRAIC(:,31) = strpad('i_Na in component fast_sodium_current (picoA)');
LEGEND_ALGEBRAIC(:,51) = strpad('i_K1 in component time_independent_potassium_current (picoA)');
LEGEND_ALGEBRAIC(:,52) = strpad('i_to in component transient_outward_K_current (picoA)');
LEGEND_ALGEBRAIC(:,54) = strpad('i_Kur in component ultrarapid_delayed_rectifier_K_current (picoA)');
LEGEND_ALGEBRAIC(:,55) = strpad('i_Kr in component rapid_delayed_rectifier_K_current (picoA)');
LEGEND_ALGEBRAIC(:,56) = strpad('i_Ks in component slow_delayed_rectifier_K_current (picoA)');
LEGEND_ALGEBRAIC(:,57) = strpad('i_Ca_L in component L_type_Ca_channel (picoA)');
LEGEND_ALGEBRAIC(:,65) = strpad('i_CaP in component sarcolemmal_calcium_pump_current (picoA)');
LEGEND_ALGEBRAIC(:,59) = strpad('i_NaK in component sodium_potassium_pump (picoA)');
LEGEND_ALGEBRAIC(:,64) = strpad('i_NaCa in component Na_Ca_exchanger_current (picoA)');
LEGEND_ALGEBRAIC(:,62) = strpad('i_B_Na in component background_currents (picoA)');
LEGEND_ALGEBRAIC(:,63) = strpad('i_B_Ca in component background_currents (picoA)');
LEGEND_CONSTANTS(:,5) = strpad('stim_start in component membrane (millisecond)');
LEGEND_CONSTANTS(:,6) = strpad('stim_end in component membrane (millisecond)');
LEGEND_CONSTANTS(:,7) = strpad('stim_period in component membrane (millisecond)');
LEGEND_CONSTANTS(:,8) = strpad('stim_duration in component membrane (millisecond)');
LEGEND_CONSTANTS(:,9) = strpad('stim_amplitude in component membrane (picoA)');
LEGEND_ALGEBRAIC(:,18) = strpad('E_Na in component fast_sodium_current (millivolt)');
LEGEND_CONSTANTS(:,10) = strpad('g_Na in component fast_sodium_current (nanoS_per_picoF)');
LEGEND_STATES(:,2) = strpad('Na_i in component intracellular_ion_concentrations (millimolar)');
LEGEND_CONSTANTS(:,11) = strpad('Na_o in component standard_ionic_concentrations (millimolar)');
LEGEND_STATES(:,3) = strpad('m in component fast_sodium_current_m_gate (dimensionless)');
LEGEND_STATES(:,4) = strpad('h in component fast_sodium_current_h_gate (dimensionless)');
LEGEND_STATES(:,5) = strpad('j in component fast_sodium_current_j_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,2) = strpad('alpha_m in component fast_sodium_current_m_gate (per_millisecond)');
LEGEND_ALGEBRAIC(:,19) = strpad('beta_m in component fast_sodium_current_m_gate (per_millisecond)');
LEGEND_ALGEBRAIC(:,32) = strpad('m_inf in component fast_sodium_current_m_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,42) = strpad('tau_m in component fast_sodium_current_m_gate (millisecond)');
LEGEND_ALGEBRAIC(:,3) = strpad('alpha_h in component fast_sodium_current_h_gate (per_millisecond)');
LEGEND_ALGEBRAIC(:,20) = strpad('beta_h in component fast_sodium_current_h_gate (per_millisecond)');
LEGEND_ALGEBRAIC(:,33) = strpad('h_inf in component fast_sodium_current_h_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,43) = strpad('tau_h in component fast_sodium_current_h_gate (millisecond)');
LEGEND_ALGEBRAIC(:,4) = strpad('alpha_j in component fast_sodium_current_j_gate (per_millisecond)');
LEGEND_ALGEBRAIC(:,21) = strpad('beta_j in component fast_sodium_current_j_gate (per_millisecond)');
LEGEND_ALGEBRAIC(:,34) = strpad('j_inf in component fast_sodium_current_j_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,44) = strpad('tau_j in component fast_sodium_current_j_gate (millisecond)');
LEGEND_ALGEBRAIC(:,41) = strpad('E_K in component time_independent_potassium_current (millivolt)');
LEGEND_CONSTANTS(:,12) = strpad('g_K1 in component time_independent_potassium_current (nanoS_per_picoF)');
LEGEND_CONSTANTS(:,13) = strpad('K_o in component standard_ionic_concentrations (millimolar)');
LEGEND_STATES(:,6) = strpad('K_i in component intracellular_ion_concentrations (millimolar)');
LEGEND_CONSTANTS(:,14) = strpad('K_Q10 in component transient_outward_K_current (dimensionless)');
LEGEND_CONSTANTS(:,15) = strpad('g_to in component transient_outward_K_current (nanoS_per_picoF)');
LEGEND_STATES(:,7) = strpad('oa in component transient_outward_K_current_oa_gate (dimensionless)');
LEGEND_STATES(:,8) = strpad('oi in component transient_outward_K_current_oi_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,5) = strpad('alpha_oa in component transient_outward_K_current_oa_gate (per_millisecond)');
LEGEND_ALGEBRAIC(:,22) = strpad('beta_oa in component transient_outward_K_current_oa_gate (per_millisecond)');
LEGEND_ALGEBRAIC(:,35) = strpad('tau_oa in component transient_outward_K_current_oa_gate (millisecond)');
LEGEND_ALGEBRAIC(:,45) = strpad('oa_infinity in component transient_outward_K_current_oa_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,6) = strpad('alpha_oi in component transient_outward_K_current_oi_gate (per_millisecond)');
LEGEND_ALGEBRAIC(:,23) = strpad('beta_oi in component transient_outward_K_current_oi_gate (per_millisecond)');
LEGEND_ALGEBRAIC(:,36) = strpad('tau_oi in component transient_outward_K_current_oi_gate (millisecond)');
LEGEND_ALGEBRAIC(:,46) = strpad('oi_infinity in component transient_outward_K_current_oi_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,53) = strpad('g_Kur in component ultrarapid_delayed_rectifier_K_current (nanoS_per_picoF)');
LEGEND_STATES(:,9) = strpad('ua in component ultrarapid_delayed_rectifier_K_current_ua_gate (dimensionless)');
LEGEND_STATES(:,10) = strpad('ui in component ultrarapid_delayed_rectifier_K_current_ui_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,7) = strpad('alpha_ua in component ultrarapid_delayed_rectifier_K_current_ua_gate (per_millisecond)');
LEGEND_ALGEBRAIC(:,24) = strpad('beta_ua in component ultrarapid_delayed_rectifier_K_current_ua_gate (per_millisecond)');
LEGEND_ALGEBRAIC(:,37) = strpad('tau_ua in component ultrarapid_delayed_rectifier_K_current_ua_gate (millisecond)');
LEGEND_ALGEBRAIC(:,47) = strpad('ua_infinity in component ultrarapid_delayed_rectifier_K_current_ua_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,8) = strpad('alpha_ui in component ultrarapid_delayed_rectifier_K_current_ui_gate (per_millisecond)');
LEGEND_ALGEBRAIC(:,25) = strpad('beta_ui in component ultrarapid_delayed_rectifier_K_current_ui_gate (per_millisecond)');
LEGEND_ALGEBRAIC(:,38) = strpad('tau_ui in component ultrarapid_delayed_rectifier_K_current_ui_gate (millisecond)');
LEGEND_ALGEBRAIC(:,48) = strpad('ui_infinity in component ultrarapid_delayed_rectifier_K_current_ui_gate (dimensionless)');
LEGEND_CONSTANTS(:,16) = strpad('g_Kr in component rapid_delayed_rectifier_K_current (nanoS_per_picoF)');
LEGEND_STATES(:,11) = strpad('xr in component rapid_delayed_rectifier_K_current_xr_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,9) = strpad('alpha_xr in component rapid_delayed_rectifier_K_current_xr_gate (per_millisecond)');
LEGEND_ALGEBRAIC(:,26) = strpad('beta_xr in component rapid_delayed_rectifier_K_current_xr_gate (per_millisecond)');
LEGEND_ALGEBRAIC(:,39) = strpad('tau_xr in component rapid_delayed_rectifier_K_current_xr_gate (millisecond)');
LEGEND_ALGEBRAIC(:,49) = strpad('xr_infinity in component rapid_delayed_rectifier_K_current_xr_gate (dimensionless)');
LEGEND_CONSTANTS(:,17) = strpad('g_Ks in component slow_delayed_rectifier_K_current (nanoS_per_picoF)');
LEGEND_STATES(:,12) = strpad('xs in component slow_delayed_rectifier_K_current_xs_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,10) = strpad('alpha_xs in component slow_delayed_rectifier_K_current_xs_gate (per_millisecond)');
LEGEND_ALGEBRAIC(:,27) = strpad('beta_xs in component slow_delayed_rectifier_K_current_xs_gate (per_millisecond)');
LEGEND_ALGEBRAIC(:,40) = strpad('tau_xs in component slow_delayed_rectifier_K_current_xs_gate (millisecond)');
LEGEND_ALGEBRAIC(:,50) = strpad('xs_infinity in component slow_delayed_rectifier_K_current_xs_gate (dimensionless)');
LEGEND_CONSTANTS(:,18) = strpad('g_Ca_L in component L_type_Ca_channel (nanoS_per_picoF)');
LEGEND_STATES(:,13) = strpad('Ca_i in component intracellular_ion_concentrations (millimolar)');
LEGEND_STATES(:,14) = strpad('d in component L_type_Ca_channel_d_gate (dimensionless)');
LEGEND_STATES(:,15) = strpad('f in component L_type_Ca_channel_f_gate (dimensionless)');
LEGEND_STATES(:,16) = strpad('f_Ca in component L_type_Ca_channel_f_Ca_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,11) = strpad('d_infinity in component L_type_Ca_channel_d_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,28) = strpad('tau_d in component L_type_Ca_channel_d_gate (millisecond)');
LEGEND_ALGEBRAIC(:,12) = strpad('f_infinity in component L_type_Ca_channel_f_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,29) = strpad('tau_f in component L_type_Ca_channel_f_gate (millisecond)');
LEGEND_ALGEBRAIC(:,13) = strpad('f_Ca_infinity in component L_type_Ca_channel_f_Ca_gate (dimensionless)');
LEGEND_CONSTANTS(:,45) = strpad('tau_f_Ca in component L_type_Ca_channel_f_Ca_gate (millisecond)');
LEGEND_CONSTANTS(:,19) = strpad('Km_Na_i in component sodium_potassium_pump (millimolar)');
LEGEND_CONSTANTS(:,20) = strpad('Km_K_o in component sodium_potassium_pump (millimolar)');
LEGEND_CONSTANTS(:,21) = strpad('i_NaK_max in component sodium_potassium_pump (picoA_per_picoF)');
LEGEND_ALGEBRAIC(:,58) = strpad('f_NaK in component sodium_potassium_pump (dimensionless)');
LEGEND_CONSTANTS(:,46) = strpad('sigma in component sodium_potassium_pump (dimensionless)');
LEGEND_ALGEBRAIC(:,61) = strpad('i_B_K in component background_currents (picoA)');
LEGEND_CONSTANTS(:,22) = strpad('g_B_Na in component background_currents (nanoS_per_picoF)');
LEGEND_CONSTANTS(:,23) = strpad('g_B_Ca in component background_currents (nanoS_per_picoF)');
LEGEND_CONSTANTS(:,24) = strpad('g_B_K in component background_currents (nanoS_per_picoF)');
LEGEND_ALGEBRAIC(:,60) = strpad('E_Ca in component background_currents (millivolt)');
LEGEND_CONSTANTS(:,25) = strpad('Ca_o in component standard_ionic_concentrations (millimolar)');
LEGEND_CONSTANTS(:,26) = strpad('I_NaCa_max in component Na_Ca_exchanger_current (picoA_per_picoF)');
LEGEND_CONSTANTS(:,27) = strpad('K_mNa in component Na_Ca_exchanger_current (millimolar)');
LEGEND_CONSTANTS(:,28) = strpad('K_mCa in component Na_Ca_exchanger_current (millimolar)');
LEGEND_CONSTANTS(:,29) = strpad('K_sat in component Na_Ca_exchanger_current (dimensionless)');
LEGEND_CONSTANTS(:,30) = strpad('gamma in component Na_Ca_exchanger_current (dimensionless)');
LEGEND_CONSTANTS(:,31) = strpad('i_CaP_max in component sarcolemmal_calcium_pump_current (picoA_per_picoF)');
LEGEND_ALGEBRAIC(:,66) = strpad('i_rel in component Ca_release_current_from_JSR (millimolar_per_millisecond)');
LEGEND_ALGEBRAIC(:,67) = strpad('Fn in component Ca_release_current_from_JSR (dimensionless)');
LEGEND_CONSTANTS(:,32) = strpad('K_rel in component Ca_release_current_from_JSR (per_millisecond)');
LEGEND_CONSTANTS(:,48) = strpad('V_rel in component intracellular_ion_concentrations (micrometre_3)');
LEGEND_STATES(:,17) = strpad('Ca_rel in component intracellular_ion_concentrations (millimolar)');
LEGEND_STATES(:,18) = strpad('u in component Ca_release_current_from_JSR_u_gate (dimensionless)');
LEGEND_STATES(:,19) = strpad('v in component Ca_release_current_from_JSR_v_gate (dimensionless)');
LEGEND_STATES(:,20) = strpad('w in component Ca_release_current_from_JSR_w_gate (dimensionless)');
LEGEND_CONSTANTS(:,47) = strpad('tau_u in component Ca_release_current_from_JSR_u_gate (millisecond)');
LEGEND_ALGEBRAIC(:,69) = strpad('u_infinity in component Ca_release_current_from_JSR_u_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,70) = strpad('tau_v in component Ca_release_current_from_JSR_v_gate (millisecond)');
LEGEND_ALGEBRAIC(:,72) = strpad('v_infinity in component Ca_release_current_from_JSR_v_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,14) = strpad('tau_w in component Ca_release_current_from_JSR_w_gate (millisecond)');
LEGEND_ALGEBRAIC(:,30) = strpad('w_infinity in component Ca_release_current_from_JSR_w_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,68) = strpad('i_tr in component transfer_current_from_NSR_to_JSR (millimolar_per_millisecond)');
LEGEND_CONSTANTS(:,33) = strpad('tau_tr in component transfer_current_from_NSR_to_JSR (millisecond)');
LEGEND_STATES(:,21) = strpad('Ca_up in component intracellular_ion_concentrations (millimolar)');
LEGEND_CONSTANTS(:,34) = strpad('I_up_max in component Ca_uptake_current_by_the_NSR (millimolar_per_millisecond)');
LEGEND_ALGEBRAIC(:,71) = strpad('i_up in component Ca_uptake_current_by_the_NSR (millimolar_per_millisecond)');
LEGEND_CONSTANTS(:,35) = strpad('K_up in component Ca_uptake_current_by_the_NSR (millimolar)');
LEGEND_ALGEBRAIC(:,73) = strpad('i_up_leak in component Ca_leak_current_by_the_NSR (millimolar_per_millisecond)');
LEGEND_CONSTANTS(:,36) = strpad('Ca_up_max in component Ca_leak_current_by_the_NSR (millimolar)');
LEGEND_CONSTANTS(:,37) = strpad('CMDN_max in component Ca_buffers (millimolar)');
LEGEND_CONSTANTS(:,38) = strpad('TRPN_max in component Ca_buffers (millimolar)');
LEGEND_CONSTANTS(:,39) = strpad('CSQN_max in component Ca_buffers (millimolar)');
LEGEND_CONSTANTS(:,40) = strpad('Km_CMDN in component Ca_buffers (millimolar)');
LEGEND_CONSTANTS(:,41) = strpad('Km_TRPN in component Ca_buffers (millimolar)');
LEGEND_CONSTANTS(:,42) = strpad('Km_CSQN in component Ca_buffers (millimolar)');
LEGEND_ALGEBRAIC(:,15) = strpad('Ca_CMDN in component Ca_buffers (millimolar)');
LEGEND_ALGEBRAIC(:,16) = strpad('Ca_TRPN in component Ca_buffers (millimolar)');
LEGEND_ALGEBRAIC(:,17) = strpad('Ca_CSQN in component Ca_buffers (millimolar)');
LEGEND_CONSTANTS(:,43) = strpad('V_cell in component intracellular_ion_concentrations (micrometre_3)');
LEGEND_CONSTANTS(:,44) = strpad('V_i in component intracellular_ion_concentrations (micrometre_3)');
LEGEND_CONSTANTS(:,49) = strpad('V_up in component intracellular_ion_concentrations (micrometre_3)');
LEGEND_ALGEBRAIC(:,74) = strpad('B1 in component intracellular_ion_concentrations (millimolar_per_millisecond)');
LEGEND_ALGEBRAIC(:,75) = strpad('B2 in component intracellular_ion_concentrations (dimensionless)');
LEGEND_RATES(:,1) = strpad('d/dt V in component membrane (millivolt)');
LEGEND_RATES(:,3) = strpad('d/dt m in component fast_sodium_current_m_gate (dimensionless)');
LEGEND_RATES(:,4) = strpad('d/dt h in component fast_sodium_current_h_gate (dimensionless)');
LEGEND_RATES(:,5) = strpad('d/dt j in component fast_sodium_current_j_gate (dimensionless)');
LEGEND_RATES(:,7) = strpad('d/dt oa in component transient_outward_K_current_oa_gate (dimensionless)');
LEGEND_RATES(:,8) = strpad('d/dt oi in component transient_outward_K_current_oi_gate (dimensionless)');
LEGEND_RATES(:,9) = strpad('d/dt ua in component ultrarapid_delayed_rectifier_K_current_ua_gate (dimensionless)');
LEGEND_RATES(:,10) = strpad('d/dt ui in component ultrarapid_delayed_rectifier_K_current_ui_gate (dimensionless)');
LEGEND_RATES(:,11) = strpad('d/dt xr in component rapid_delayed_rectifier_K_current_xr_gate (dimensionless)');
LEGEND_RATES(:,12) = strpad('d/dt xs in component slow_delayed_rectifier_K_current_xs_gate (dimensionless)');
LEGEND_RATES(:,14) = strpad('d/dt d in component L_type_Ca_channel_d_gate (dimensionless)');
LEGEND_RATES(:,15) = strpad('d/dt f in component L_type_Ca_channel_f_gate (dimensionless)');
LEGEND_RATES(:,16) = strpad('d/dt f_Ca in component L_type_Ca_channel_f_Ca_gate (dimensionless)');
LEGEND_RATES(:,18) = strpad('d/dt u in component Ca_release_current_from_JSR_u_gate (dimensionless)');
LEGEND_RATES(:,19) = strpad('d/dt v in component Ca_release_current_from_JSR_v_gate (dimensionless)');
LEGEND_RATES(:,20) = strpad('d/dt w in component Ca_release_current_from_JSR_w_gate (dimensionless)');
LEGEND_RATES(:,2) = strpad('d/dt Na_i in component intracellular_ion_concentrations (millimolar)');
LEGEND_RATES(:,6) = strpad('d/dt K_i in component intracellular_ion_concentrations (millimolar)');
LEGEND_RATES(:,13) = strpad('d/dt Ca_i in component intracellular_ion_concentrations (millimolar)');
LEGEND_RATES(:,21) = strpad('d/dt Ca_up in component intracellular_ion_concentrations (millimolar)');
LEGEND_RATES(:,17) = strpad('d/dt Ca_rel in component intracellular_ion_concentrations (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) = -81.18;
CONSTANTS(:,1) = 8.3143;
CONSTANTS(:,2) = 310;
CONSTANTS(:,3) = 96.4867;
CONSTANTS(:,4) = 100;
CONSTANTS(:,5) = 50;
CONSTANTS(:,6) = 50000;
CONSTANTS(:,7) = 1000;
CONSTANTS(:,8) = 2;
CONSTANTS(:,9) = -2000;
CONSTANTS(:,10) = 7.8;
STATES(:,2) = 1.117e+01;
CONSTANTS(:,11) = 140;
STATES(:,3) = 2.908e-3;
STATES(:,4) = 9.649e-1;
STATES(:,5) = 9.775e-1;
CONSTANTS(:,12) = 0.09;
CONSTANTS(:,13) = 5.4;
STATES(:,6) = 1.39e+02;
CONSTANTS(:,14) = 3;
CONSTANTS(:,15) = 0.1652;
STATES(:,7) = 3.043e-2;
STATES(:,8) = 9.992e-1;
STATES(:,9) = 4.966e-3;
STATES(:,10) = 9.986e-1;
CONSTANTS(:,16) = 0.029411765;
STATES(:,11) = 3.296e-5;
CONSTANTS(:,17) = 0.12941176;
STATES(:,12) = 1.869e-2;
CONSTANTS(:,18) = 0.12375;
STATES(:,13) = 1.013e-4;
STATES(:,14) = 1.367e-4;
STATES(:,15) = 9.996e-1;
STATES(:,16) = 7.755e-1;
CONSTANTS(:,19) = 10;
CONSTANTS(:,20) = 1.5;
CONSTANTS(:,21) = 0.59933874;
CONSTANTS(:,22) = 0.0006744375;
CONSTANTS(:,23) = 0.001131;
CONSTANTS(:,24) = 0;
CONSTANTS(:,25) = 1.8;
CONSTANTS(:,26) = 1600;
CONSTANTS(:,27) = 87.5;
CONSTANTS(:,28) = 1.38;
CONSTANTS(:,29) = 0.1;
CONSTANTS(:,30) = 0.35;
CONSTANTS(:,31) = 0.275;
CONSTANTS(:,32) = 30;
STATES(:,17) = 1.488;
STATES(:,18) = 2.35e-112;
STATES(:,19) = 1;
STATES(:,20) = 0.9992;
CONSTANTS(:,33) = 180;
STATES(:,21) = 1.488;
CONSTANTS(:,34) = 0.005;
CONSTANTS(:,35) = 0.00092;
CONSTANTS(:,36) = 15;
CONSTANTS(:,37) = 0.05;
CONSTANTS(:,38) = 0.07;
CONSTANTS(:,39) = 10;
CONSTANTS(:,40) = 0.00238;
CONSTANTS(:,41) = 0.0005;
CONSTANTS(:,42) = 0.8;
CONSTANTS(:,43) = 20100;
CONSTANTS(:,44) = CONSTANTS(:,43).*0.680000;
CONSTANTS(:,45) = 2.00000;
CONSTANTS(:,46) = (1.00000./7.00000).*(exp(CONSTANTS(:,11)./67.3000) - 1.00000);
CONSTANTS(:,47) = 8.00000;
CONSTANTS(:,48) = 0.00480000.*CONSTANTS(:,43);
CONSTANTS(:,49) = 0.0552000.*CONSTANTS(:,43);
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) = power(1.00000+STATES(:,13)./0.000350000, - 1.00000);
RATES(:,16) = (ALGEBRAIC(:,13) - STATES(:,16))./CONSTANTS(:,45);
ALGEBRAIC(:,11) = power(1.00000+exp((STATES(:,1)+10.0000)./ - 8.00000), - 1.00000);
ALGEBRAIC(:,28) = piecewise({abs(STATES(:,1)+10.0000)<1.00000e-10, 4.57900./(1.00000+exp((STATES(:,1)+10.0000)./ - 6.24000)) }, (1.00000 - exp((STATES(:,1)+10.0000)./ - 6.24000))./( 0.0350000.*(STATES(:,1)+10.0000).*(1.00000+exp((STATES(:,1)+10.0000)./ - 6.24000))));
RATES(:,14) = (ALGEBRAIC(:,11) - STATES(:,14))./ALGEBRAIC(:,28);
ALGEBRAIC(:,12) = exp( - (STATES(:,1)+28.0000)./6.90000)./(1.00000+exp( - (STATES(:,1)+28.0000)./6.90000));
ALGEBRAIC(:,29) = 9.00000.*power( 0.0197000.*exp( - power(0.0337000, 2.00000).*power(STATES(:,1)+10.0000, 2.00000))+0.0200000, - 1.00000);
RATES(:,15) = (ALGEBRAIC(:,12) - STATES(:,15))./ALGEBRAIC(:,29);
ALGEBRAIC(:,14) = piecewise({abs(STATES(:,1) - 7.90000)<1.00000e-10, ( 6.00000.*0.200000)./1.30000 }, ( 6.00000.*(1.00000 - exp( - (STATES(:,1) - 7.90000)./5.00000)))./( (1.00000+ 0.300000.*exp( - (STATES(:,1) - 7.90000)./5.00000)).*1.00000.*(STATES(:,1) - 7.90000)));
ALGEBRAIC(:,30) = 1.00000 - power(1.00000+exp( - (STATES(:,1) - 40.0000)./17.0000), - 1.00000);
RATES(:,20) = (ALGEBRAIC(:,30) - STATES(:,20))./ALGEBRAIC(:,14);
ALGEBRAIC(:,2) = piecewise({STATES(:,1)== - 47.1300, 3.20000 }, ( 0.320000.*(STATES(:,1)+47.1300))./(1.00000 - exp( - 0.100000.*(STATES(:,1)+47.1300))));
ALGEBRAIC(:,19) = 0.0800000.*exp( - STATES(:,1)./11.0000);
ALGEBRAIC(:,32) = ALGEBRAIC(:,2)./(ALGEBRAIC(:,2)+ALGEBRAIC(:,19));
ALGEBRAIC(:,42) = 1.00000./(ALGEBRAIC(:,2)+ALGEBRAIC(:,19));
RATES(:,3) = (ALGEBRAIC(:,32) - STATES(:,3))./ALGEBRAIC(:,42);
ALGEBRAIC(:,3) = piecewise({STATES(:,1)< - 40.0000, 0.135000.*exp((STATES(:,1)+80.0000)./ - 6.80000) }, 0.00000);
ALGEBRAIC(:,20) = piecewise({STATES(:,1)< - 40.0000, 3.56000.*exp( 0.0790000.*STATES(:,1))+ 310000..*exp( 0.350000.*STATES(:,1)) }, 1.00000./( 0.130000.*(1.00000+exp((STATES(:,1)+10.6600)./ - 11.1000))));
ALGEBRAIC(:,33) = ALGEBRAIC(:,3)./(ALGEBRAIC(:,3)+ALGEBRAIC(:,20));
ALGEBRAIC(:,43) = 1.00000./(ALGEBRAIC(:,3)+ALGEBRAIC(:,20));
RATES(:,4) = (ALGEBRAIC(:,33) - STATES(:,4))./ALGEBRAIC(:,43);
ALGEBRAIC(:,4) = piecewise({STATES(:,1)< - 40.0000, ( ( - 127140..*exp( 0.244400.*STATES(:,1)) - 3.47400e-05.*exp( - 0.0439100.*STATES(:,1))).*(STATES(:,1)+37.7800))./(1.00000+exp( 0.311000.*(STATES(:,1)+79.2300))) }, 0.00000);
ALGEBRAIC(:,21) = piecewise({STATES(:,1)< - 40.0000, ( 0.121200.*exp( - 0.0105200.*STATES(:,1)))./(1.00000+exp( - 0.137800.*(STATES(:,1)+40.1400))) }, ( 0.300000.*exp( - 2.53500e-07.*STATES(:,1)))./(1.00000+exp( - 0.100000.*(STATES(:,1)+32.0000))));
ALGEBRAIC(:,34) = ALGEBRAIC(:,4)./(ALGEBRAIC(:,4)+ALGEBRAIC(:,21));
ALGEBRAIC(:,44) = 1.00000./(ALGEBRAIC(:,4)+ALGEBRAIC(:,21));
RATES(:,5) = (ALGEBRAIC(:,34) - STATES(:,5))./ALGEBRAIC(:,44);
ALGEBRAIC(:,5) = 0.650000.*power(exp((STATES(:,1) - - 10.0000)./ - 8.50000)+exp(((STATES(:,1) - - 10.0000) - 40.0000)./ - 59.0000), - 1.00000);
ALGEBRAIC(:,22) = 0.650000.*power(2.50000+exp(((STATES(:,1) - - 10.0000)+72.0000)./17.0000), - 1.00000);
ALGEBRAIC(:,35) = power(ALGEBRAIC(:,5)+ALGEBRAIC(:,22), - 1.00000)./CONSTANTS(:,14);
ALGEBRAIC(:,45) = power(1.00000+exp(((STATES(:,1) - - 10.0000)+10.4700)./ - 17.5400), - 1.00000);
RATES(:,7) = (ALGEBRAIC(:,45) - STATES(:,7))./ALGEBRAIC(:,35);
ALGEBRAIC(:,6) = power(18.5300+ 1.00000.*exp(((STATES(:,1) - - 10.0000)+103.700)./10.9500), - 1.00000);
ALGEBRAIC(:,23) = power(35.5600+ 1.00000.*exp(((STATES(:,1) - - 10.0000) - 8.74000)./ - 7.44000), - 1.00000);
ALGEBRAIC(:,36) = power(ALGEBRAIC(:,6)+ALGEBRAIC(:,23), - 1.00000)./CONSTANTS(:,14);
ALGEBRAIC(:,46) = power(1.00000+exp(((STATES(:,1) - - 10.0000)+33.1000)./5.30000), - 1.00000);
RATES(:,8) = (ALGEBRAIC(:,46) - STATES(:,8))./ALGEBRAIC(:,36);
ALGEBRAIC(:,7) = 0.650000.*power(exp((STATES(:,1) - - 10.0000)./ - 8.50000)+exp(((STATES(:,1) - - 10.0000) - 40.0000)./ - 59.0000), - 1.00000);
ALGEBRAIC(:,24) = 0.650000.*power(2.50000+exp(((STATES(:,1) - - 10.0000)+72.0000)./17.0000), - 1.00000);
ALGEBRAIC(:,37) = power(ALGEBRAIC(:,7)+ALGEBRAIC(:,24), - 1.00000)./CONSTANTS(:,14);
ALGEBRAIC(:,47) = power(1.00000+exp(((STATES(:,1) - - 10.0000)+20.3000)./ - 9.60000), - 1.00000);
RATES(:,9) = (ALGEBRAIC(:,47) - STATES(:,9))./ALGEBRAIC(:,37);
ALGEBRAIC(:,8) = power(21.0000+ 1.00000.*exp(((STATES(:,1) - - 10.0000) - 195.000)./ - 28.0000), - 1.00000);
ALGEBRAIC(:,25) = 1.00000./exp(((STATES(:,1) - - 10.0000) - 168.000)./ - 16.0000);
ALGEBRAIC(:,38) = power(ALGEBRAIC(:,8)+ALGEBRAIC(:,25), - 1.00000)./CONSTANTS(:,14);
ALGEBRAIC(:,48) = power(1.00000+exp(((STATES(:,1) - - 10.0000) - 109.450)./27.4800), - 1.00000);
RATES(:,10) = (ALGEBRAIC(:,48) - STATES(:,10))./ALGEBRAIC(:,38);
ALGEBRAIC(:,9) = piecewise({abs(STATES(:,1)+14.1000)<1.00000e-10, 0.00150000 }, ( 0.000300000.*(STATES(:,1)+14.1000))./(1.00000 - exp((STATES(:,1)+14.1000)./ - 5.00000)));
ALGEBRAIC(:,26) = piecewise({abs(STATES(:,1) - 3.33280)<1.00000e-10, 0.000378361 }, ( 7.38980e-05.*(STATES(:,1) - 3.33280))./(exp((STATES(:,1) - 3.33280)./5.12370) - 1.00000));
ALGEBRAIC(:,39) = power(ALGEBRAIC(:,9)+ALGEBRAIC(:,26), - 1.00000);
ALGEBRAIC(:,49) = power(1.00000+exp((STATES(:,1)+14.1000)./ - 6.50000), - 1.00000);
RATES(:,11) = (ALGEBRAIC(:,49) - STATES(:,11))./ALGEBRAIC(:,39);
ALGEBRAIC(:,10) = piecewise({abs(STATES(:,1) - 19.9000)<1.00000e-10, 0.000680000 }, ( 4.00000e-05.*(STATES(:,1) - 19.9000))./(1.00000 - exp((STATES(:,1) - 19.9000)./ - 17.0000)));
ALGEBRAIC(:,27) = piecewise({abs(STATES(:,1) - 19.9000)<1.00000e-10, 0.000315000 }, ( 3.50000e-05.*(STATES(:,1) - 19.9000))./(exp((STATES(:,1) - 19.9000)./9.00000) - 1.00000));
ALGEBRAIC(:,40) = 0.500000.*power(ALGEBRAIC(:,10)+ALGEBRAIC(:,27), - 1.00000);
ALGEBRAIC(:,50) = power(1.00000+exp((STATES(:,1) - 19.9000)./ - 12.7000), - 0.500000);
RATES(:,12) = (ALGEBRAIC(:,50) - STATES(:,12))./ALGEBRAIC(:,40);
ALGEBRAIC(:,41) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,13)./STATES(:,6));
ALGEBRAIC(:,51) = ( CONSTANTS(:,4).*CONSTANTS(:,12).*(STATES(:,1) - ALGEBRAIC(:,41)))./(1.00000+exp( 0.0700000.*(STATES(:,1)+80.0000)));
ALGEBRAIC(:,52) = CONSTANTS(:,4).*CONSTANTS(:,15).*power(STATES(:,7), 3.00000).*STATES(:,8).*(STATES(:,1) - ALGEBRAIC(:,41));
ALGEBRAIC(:,53) = 0.00500000+0.0500000./(1.00000+exp((STATES(:,1) - 15.0000)./ - 13.0000));
ALGEBRAIC(:,54) = CONSTANTS(:,4).*ALGEBRAIC(:,53).*power(STATES(:,9), 3.00000).*STATES(:,10).*(STATES(:,1) - ALGEBRAIC(:,41));
ALGEBRAIC(:,55) = ( CONSTANTS(:,4).*CONSTANTS(:,16).*STATES(:,11).*(STATES(:,1) - ALGEBRAIC(:,41)))./(1.00000+exp((STATES(:,1)+15.0000)./22.4000));
ALGEBRAIC(:,56) = CONSTANTS(:,4).*CONSTANTS(:,17).*power(STATES(:,12), 2.00000).*(STATES(:,1) - ALGEBRAIC(:,41));
ALGEBRAIC(:,58) = power(1.00000+ 0.124500.*exp(( - 0.100000.*CONSTANTS(:,3).*STATES(:,1))./( CONSTANTS(:,1).*CONSTANTS(:,2)))+ 0.0365000.*CONSTANTS(:,46).*exp(( - CONSTANTS(:,3).*STATES(:,1))./( CONSTANTS(:,1).*CONSTANTS(:,2))), - 1.00000);
ALGEBRAIC(:,59) = ( (( CONSTANTS(:,4).*CONSTANTS(:,21).*ALGEBRAIC(:,58).*1.00000)./(1.00000+power(CONSTANTS(:,19)./STATES(:,2), 1.50000))).*CONSTANTS(:,13))./(CONSTANTS(:,13)+CONSTANTS(:,20));
ALGEBRAIC(:,61) = CONSTANTS(:,4).*CONSTANTS(:,24).*(STATES(:,1) - ALGEBRAIC(:,41));
RATES(:,6) = ( 2.00000.*ALGEBRAIC(:,59) - (ALGEBRAIC(:,51)+ALGEBRAIC(:,52)+ALGEBRAIC(:,54)+ALGEBRAIC(:,55)+ALGEBRAIC(:,56)+ALGEBRAIC(:,61)))./( CONSTANTS(:,44).*CONSTANTS(:,3));
ALGEBRAIC(:,18) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,11)./STATES(:,2));
ALGEBRAIC(:,31) = CONSTANTS(:,4).*CONSTANTS(:,10).*power(STATES(:,3), 3.00000).*STATES(:,4).*STATES(:,5).*(STATES(:,1) - ALGEBRAIC(:,18));
ALGEBRAIC(:,64) = ( CONSTANTS(:,4).*CONSTANTS(:,26).*( exp(( CONSTANTS(:,30).*CONSTANTS(:,3).*STATES(:,1))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(STATES(:,2), 3.00000).*CONSTANTS(:,25) - exp(( (CONSTANTS(:,30) - 1.00000).*CONSTANTS(:,3).*STATES(:,1))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(CONSTANTS(:,11), 3.00000).*STATES(:,13)))./( (power(CONSTANTS(:,27), 3.00000)+power(CONSTANTS(:,11), 3.00000)).*(CONSTANTS(:,28)+CONSTANTS(:,25)).*(1.00000+ CONSTANTS(:,29).*exp(( (CONSTANTS(:,30) - 1.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))));
ALGEBRAIC(:,62) = CONSTANTS(:,4).*CONSTANTS(:,22).*(STATES(:,1) - ALGEBRAIC(:,18));
RATES(:,2) = ( - 3.00000.*ALGEBRAIC(:,59) - ( 3.00000.*ALGEBRAIC(:,64)+ALGEBRAIC(:,62)+ALGEBRAIC(:,31)))./( CONSTANTS(:,44).*CONSTANTS(:,3));
ALGEBRAIC(:,1) = 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) = CONSTANTS(:,4).*CONSTANTS(:,18).*STATES(:,14).*STATES(:,15).*STATES(:,16).*(STATES(:,1) - 65.0000);
ALGEBRAIC(:,65) = ( CONSTANTS(:,4).*CONSTANTS(:,31).*STATES(:,13))./(0.000500000+STATES(:,13));
ALGEBRAIC(:,60) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./( 2.00000.*CONSTANTS(:,3))).*log(CONSTANTS(:,25)./STATES(:,13));
ALGEBRAIC(:,63) = CONSTANTS(:,4).*CONSTANTS(:,23).*(STATES(:,1) - ALGEBRAIC(:,60));
RATES(:,1) = - (ALGEBRAIC(:,31)+ALGEBRAIC(:,51)+ALGEBRAIC(:,52)+ALGEBRAIC(:,54)+ALGEBRAIC(:,55)+ALGEBRAIC(:,56)+ALGEBRAIC(:,62)+ALGEBRAIC(:,63)+ALGEBRAIC(:,59)+ALGEBRAIC(:,65)+ALGEBRAIC(:,64)+ALGEBRAIC(:,57)+ALGEBRAIC(:,1))./CONSTANTS(:,4);
ALGEBRAIC(:,66) = CONSTANTS(:,32).*power(STATES(:,18), 2.00000).*STATES(:,19).*STATES(:,20).*(STATES(:,17) - STATES(:,13));
ALGEBRAIC(:,68) = (STATES(:,21) - STATES(:,17))./CONSTANTS(:,33);
RATES(:,17) = (ALGEBRAIC(:,68) - ALGEBRAIC(:,66)).*power(1.00000+( CONSTANTS(:,39).*CONSTANTS(:,42))./power(STATES(:,17)+CONSTANTS(:,42), 2.00000), - 1.00000);
ALGEBRAIC(:,67) = 1000.00.*( 1.00000e-15.*CONSTANTS(:,48).*ALGEBRAIC(:,66) - (1.00000e-15./( 2.00000.*CONSTANTS(:,3))).*( 0.500000.*ALGEBRAIC(:,57) - 0.200000.*ALGEBRAIC(:,64)));
ALGEBRAIC(:,69) = power(1.00000+exp( - (ALGEBRAIC(:,67) - 3.41750e-13)./1.36700e-15), - 1.00000);
RATES(:,18) = (ALGEBRAIC(:,69) - STATES(:,18))./CONSTANTS(:,47);
ALGEBRAIC(:,70) = 1.91000+ 2.09000.*power(1.00000+exp( - (ALGEBRAIC(:,67) - 3.41750e-13)./1.36700e-15), - 1.00000);
ALGEBRAIC(:,72) = 1.00000 - power(1.00000+exp( - (ALGEBRAIC(:,67) - 6.83500e-14)./1.36700e-15), - 1.00000);
RATES(:,19) = (ALGEBRAIC(:,72) - STATES(:,19))./ALGEBRAIC(:,70);
ALGEBRAIC(:,71) = CONSTANTS(:,34)./(1.00000+CONSTANTS(:,35)./STATES(:,13));
ALGEBRAIC(:,73) = ( CONSTANTS(:,34).*STATES(:,21))./CONSTANTS(:,36);
RATES(:,21) = ALGEBRAIC(:,71) - (ALGEBRAIC(:,73)+( ALGEBRAIC(:,68).*CONSTANTS(:,48))./CONSTANTS(:,49));
ALGEBRAIC(:,74) = ( 2.00000.*ALGEBRAIC(:,64) - (ALGEBRAIC(:,65)+ALGEBRAIC(:,57)+ALGEBRAIC(:,63)))./( 2.00000.*CONSTANTS(:,44).*CONSTANTS(:,3))+( CONSTANTS(:,49).*(ALGEBRAIC(:,73) - ALGEBRAIC(:,71))+ ALGEBRAIC(:,66).*CONSTANTS(:,48))./CONSTANTS(:,44);
ALGEBRAIC(:,75) = 1.00000+( CONSTANTS(:,38).*CONSTANTS(:,41))./power(STATES(:,13)+CONSTANTS(:,41), 2.00000)+( CONSTANTS(:,37).*CONSTANTS(:,40))./power(STATES(:,13)+CONSTANTS(:,40), 2.00000);
RATES(:,13) = ALGEBRAIC(:,74)./ALGEBRAIC(:,75);
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) = power(1.00000+STATES(:,13)./0.000350000, - 1.00000);
ALGEBRAIC(:,11) = power(1.00000+exp((STATES(:,1)+10.0000)./ - 8.00000), - 1.00000);
ALGEBRAIC(:,28) = piecewise({abs(STATES(:,1)+10.0000)<1.00000e-10, 4.57900./(1.00000+exp((STATES(:,1)+10.0000)./ - 6.24000)) }, (1.00000 - exp((STATES(:,1)+10.0000)./ - 6.24000))./( 0.0350000.*(STATES(:,1)+10.0000).*(1.00000+exp((STATES(:,1)+10.0000)./ - 6.24000))));
ALGEBRAIC(:,12) = exp( - (STATES(:,1)+28.0000)./6.90000)./(1.00000+exp( - (STATES(:,1)+28.0000)./6.90000));
ALGEBRAIC(:,29) = 9.00000.*power( 0.0197000.*exp( - power(0.0337000, 2.00000).*power(STATES(:,1)+10.0000, 2.00000))+0.0200000, - 1.00000);
ALGEBRAIC(:,14) = piecewise({abs(STATES(:,1) - 7.90000)<1.00000e-10, ( 6.00000.*0.200000)./1.30000 }, ( 6.00000.*(1.00000 - exp( - (STATES(:,1) - 7.90000)./5.00000)))./( (1.00000+ 0.300000.*exp( - (STATES(:,1) - 7.90000)./5.00000)).*1.00000.*(STATES(:,1) - 7.90000)));
ALGEBRAIC(:,30) = 1.00000 - power(1.00000+exp( - (STATES(:,1) - 40.0000)./17.0000), - 1.00000);
ALGEBRAIC(:,2) = piecewise({STATES(:,1)== - 47.1300, 3.20000 }, ( 0.320000.*(STATES(:,1)+47.1300))./(1.00000 - exp( - 0.100000.*(STATES(:,1)+47.1300))));
ALGEBRAIC(:,19) = 0.0800000.*exp( - STATES(:,1)./11.0000);
ALGEBRAIC(:,32) = ALGEBRAIC(:,2)./(ALGEBRAIC(:,2)+ALGEBRAIC(:,19));
ALGEBRAIC(:,42) = 1.00000./(ALGEBRAIC(:,2)+ALGEBRAIC(:,19));
ALGEBRAIC(:,3) = piecewise({STATES(:,1)< - 40.0000, 0.135000.*exp((STATES(:,1)+80.0000)./ - 6.80000) }, 0.00000);
ALGEBRAIC(:,20) = piecewise({STATES(:,1)< - 40.0000, 3.56000.*exp( 0.0790000.*STATES(:,1))+ 310000..*exp( 0.350000.*STATES(:,1)) }, 1.00000./( 0.130000.*(1.00000+exp((STATES(:,1)+10.6600)./ - 11.1000))));
ALGEBRAIC(:,33) = ALGEBRAIC(:,3)./(ALGEBRAIC(:,3)+ALGEBRAIC(:,20));
ALGEBRAIC(:,43) = 1.00000./(ALGEBRAIC(:,3)+ALGEBRAIC(:,20));
ALGEBRAIC(:,4) = piecewise({STATES(:,1)< - 40.0000, ( ( - 127140..*exp( 0.244400.*STATES(:,1)) - 3.47400e-05.*exp( - 0.0439100.*STATES(:,1))).*(STATES(:,1)+37.7800))./(1.00000+exp( 0.311000.*(STATES(:,1)+79.2300))) }, 0.00000);
ALGEBRAIC(:,21) = piecewise({STATES(:,1)< - 40.0000, ( 0.121200.*exp( - 0.0105200.*STATES(:,1)))./(1.00000+exp( - 0.137800.*(STATES(:,1)+40.1400))) }, ( 0.300000.*exp( - 2.53500e-07.*STATES(:,1)))./(1.00000+exp( - 0.100000.*(STATES(:,1)+32.0000))));
ALGEBRAIC(:,34) = ALGEBRAIC(:,4)./(ALGEBRAIC(:,4)+ALGEBRAIC(:,21));
ALGEBRAIC(:,44) = 1.00000./(ALGEBRAIC(:,4)+ALGEBRAIC(:,21));
ALGEBRAIC(:,5) = 0.650000.*power(exp((STATES(:,1) - - 10.0000)./ - 8.50000)+exp(((STATES(:,1) - - 10.0000) - 40.0000)./ - 59.0000), - 1.00000);
ALGEBRAIC(:,22) = 0.650000.*power(2.50000+exp(((STATES(:,1) - - 10.0000)+72.0000)./17.0000), - 1.00000);
ALGEBRAIC(:,35) = power(ALGEBRAIC(:,5)+ALGEBRAIC(:,22), - 1.00000)./CONSTANTS(:,14);
ALGEBRAIC(:,45) = power(1.00000+exp(((STATES(:,1) - - 10.0000)+10.4700)./ - 17.5400), - 1.00000);
ALGEBRAIC(:,6) = power(18.5300+ 1.00000.*exp(((STATES(:,1) - - 10.0000)+103.700)./10.9500), - 1.00000);
ALGEBRAIC(:,23) = power(35.5600+ 1.00000.*exp(((STATES(:,1) - - 10.0000) - 8.74000)./ - 7.44000), - 1.00000);
ALGEBRAIC(:,36) = power(ALGEBRAIC(:,6)+ALGEBRAIC(:,23), - 1.00000)./CONSTANTS(:,14);
ALGEBRAIC(:,46) = power(1.00000+exp(((STATES(:,1) - - 10.0000)+33.1000)./5.30000), - 1.00000);
ALGEBRAIC(:,7) = 0.650000.*power(exp((STATES(:,1) - - 10.0000)./ - 8.50000)+exp(((STATES(:,1) - - 10.0000) - 40.0000)./ - 59.0000), - 1.00000);
ALGEBRAIC(:,24) = 0.650000.*power(2.50000+exp(((STATES(:,1) - - 10.0000)+72.0000)./17.0000), - 1.00000);
ALGEBRAIC(:,37) = power(ALGEBRAIC(:,7)+ALGEBRAIC(:,24), - 1.00000)./CONSTANTS(:,14);
ALGEBRAIC(:,47) = power(1.00000+exp(((STATES(:,1) - - 10.0000)+20.3000)./ - 9.60000), - 1.00000);
ALGEBRAIC(:,8) = power(21.0000+ 1.00000.*exp(((STATES(:,1) - - 10.0000) - 195.000)./ - 28.0000), - 1.00000);
ALGEBRAIC(:,25) = 1.00000./exp(((STATES(:,1) - - 10.0000) - 168.000)./ - 16.0000);
ALGEBRAIC(:,38) = power(ALGEBRAIC(:,8)+ALGEBRAIC(:,25), - 1.00000)./CONSTANTS(:,14);
ALGEBRAIC(:,48) = power(1.00000+exp(((STATES(:,1) - - 10.0000) - 109.450)./27.4800), - 1.00000);
ALGEBRAIC(:,9) = piecewise({abs(STATES(:,1)+14.1000)<1.00000e-10, 0.00150000 }, ( 0.000300000.*(STATES(:,1)+14.1000))./(1.00000 - exp((STATES(:,1)+14.1000)./ - 5.00000)));
ALGEBRAIC(:,26) = piecewise({abs(STATES(:,1) - 3.33280)<1.00000e-10, 0.000378361 }, ( 7.38980e-05.*(STATES(:,1) - 3.33280))./(exp((STATES(:,1) - 3.33280)./5.12370) - 1.00000));
ALGEBRAIC(:,39) = power(ALGEBRAIC(:,9)+ALGEBRAIC(:,26), - 1.00000);
ALGEBRAIC(:,49) = power(1.00000+exp((STATES(:,1)+14.1000)./ - 6.50000), - 1.00000);
ALGEBRAIC(:,10) = piecewise({abs(STATES(:,1) - 19.9000)<1.00000e-10, 0.000680000 }, ( 4.00000e-05.*(STATES(:,1) - 19.9000))./(1.00000 - exp((STATES(:,1) - 19.9000)./ - 17.0000)));
ALGEBRAIC(:,27) = piecewise({abs(STATES(:,1) - 19.9000)<1.00000e-10, 0.000315000 }, ( 3.50000e-05.*(STATES(:,1) - 19.9000))./(exp((STATES(:,1) - 19.9000)./9.00000) - 1.00000));
ALGEBRAIC(:,40) = 0.500000.*power(ALGEBRAIC(:,10)+ALGEBRAIC(:,27), - 1.00000);
ALGEBRAIC(:,50) = power(1.00000+exp((STATES(:,1) - 19.9000)./ - 12.7000), - 0.500000);
ALGEBRAIC(:,41) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,13)./STATES(:,6));
ALGEBRAIC(:,51) = ( CONSTANTS(:,4).*CONSTANTS(:,12).*(STATES(:,1) - ALGEBRAIC(:,41)))./(1.00000+exp( 0.0700000.*(STATES(:,1)+80.0000)));
ALGEBRAIC(:,52) = CONSTANTS(:,4).*CONSTANTS(:,15).*power(STATES(:,7), 3.00000).*STATES(:,8).*(STATES(:,1) - ALGEBRAIC(:,41));
ALGEBRAIC(:,53) = 0.00500000+0.0500000./(1.00000+exp((STATES(:,1) - 15.0000)./ - 13.0000));
ALGEBRAIC(:,54) = CONSTANTS(:,4).*ALGEBRAIC(:,53).*power(STATES(:,9), 3.00000).*STATES(:,10).*(STATES(:,1) - ALGEBRAIC(:,41));
ALGEBRAIC(:,55) = ( CONSTANTS(:,4).*CONSTANTS(:,16).*STATES(:,11).*(STATES(:,1) - ALGEBRAIC(:,41)))./(1.00000+exp((STATES(:,1)+15.0000)./22.4000));
ALGEBRAIC(:,56) = CONSTANTS(:,4).*CONSTANTS(:,17).*power(STATES(:,12), 2.00000).*(STATES(:,1) - ALGEBRAIC(:,41));
ALGEBRAIC(:,58) = power(1.00000+ 0.124500.*exp(( - 0.100000.*CONSTANTS(:,3).*STATES(:,1))./( CONSTANTS(:,1).*CONSTANTS(:,2)))+ 0.0365000.*CONSTANTS(:,46).*exp(( - CONSTANTS(:,3).*STATES(:,1))./( CONSTANTS(:,1).*CONSTANTS(:,2))), - 1.00000);
ALGEBRAIC(:,59) = ( (( CONSTANTS(:,4).*CONSTANTS(:,21).*ALGEBRAIC(:,58).*1.00000)./(1.00000+power(CONSTANTS(:,19)./STATES(:,2), 1.50000))).*CONSTANTS(:,13))./(CONSTANTS(:,13)+CONSTANTS(:,20));
ALGEBRAIC(:,61) = CONSTANTS(:,4).*CONSTANTS(:,24).*(STATES(:,1) - ALGEBRAIC(:,41));
ALGEBRAIC(:,18) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,11)./STATES(:,2));
ALGEBRAIC(:,31) = CONSTANTS(:,4).*CONSTANTS(:,10).*power(STATES(:,3), 3.00000).*STATES(:,4).*STATES(:,5).*(STATES(:,1) - ALGEBRAIC(:,18));
ALGEBRAIC(:,64) = ( CONSTANTS(:,4).*CONSTANTS(:,26).*( exp(( CONSTANTS(:,30).*CONSTANTS(:,3).*STATES(:,1))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(STATES(:,2), 3.00000).*CONSTANTS(:,25) - exp(( (CONSTANTS(:,30) - 1.00000).*CONSTANTS(:,3).*STATES(:,1))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(CONSTANTS(:,11), 3.00000).*STATES(:,13)))./( (power(CONSTANTS(:,27), 3.00000)+power(CONSTANTS(:,11), 3.00000)).*(CONSTANTS(:,28)+CONSTANTS(:,25)).*(1.00000+ CONSTANTS(:,29).*exp(( (CONSTANTS(:,30) - 1.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))));
ALGEBRAIC(:,62) = CONSTANTS(:,4).*CONSTANTS(:,22).*(STATES(:,1) - ALGEBRAIC(:,18));
ALGEBRAIC(:,1) = 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) = CONSTANTS(:,4).*CONSTANTS(:,18).*STATES(:,14).*STATES(:,15).*STATES(:,16).*(STATES(:,1) - 65.0000);
ALGEBRAIC(:,65) = ( CONSTANTS(:,4).*CONSTANTS(:,31).*STATES(:,13))./(0.000500000+STATES(:,13));
ALGEBRAIC(:,60) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./( 2.00000.*CONSTANTS(:,3))).*log(CONSTANTS(:,25)./STATES(:,13));
ALGEBRAIC(:,63) = CONSTANTS(:,4).*CONSTANTS(:,23).*(STATES(:,1) - ALGEBRAIC(:,60));
ALGEBRAIC(:,66) = CONSTANTS(:,32).*power(STATES(:,18), 2.00000).*STATES(:,19).*STATES(:,20).*(STATES(:,17) - STATES(:,13));
ALGEBRAIC(:,68) = (STATES(:,21) - STATES(:,17))./CONSTANTS(:,33);
ALGEBRAIC(:,67) = 1000.00.*( 1.00000e-15.*CONSTANTS(:,48).*ALGEBRAIC(:,66) - (1.00000e-15./( 2.00000.*CONSTANTS(:,3))).*( 0.500000.*ALGEBRAIC(:,57) - 0.200000.*ALGEBRAIC(:,64)));
ALGEBRAIC(:,69) = power(1.00000+exp( - (ALGEBRAIC(:,67) - 3.41750e-13)./1.36700e-15), - 1.00000);
ALGEBRAIC(:,70) = 1.91000+ 2.09000.*power(1.00000+exp( - (ALGEBRAIC(:,67) - 3.41750e-13)./1.36700e-15), - 1.00000);
ALGEBRAIC(:,72) = 1.00000 - power(1.00000+exp( - (ALGEBRAIC(:,67) - 6.83500e-14)./1.36700e-15), - 1.00000);
ALGEBRAIC(:,71) = CONSTANTS(:,34)./(1.00000+CONSTANTS(:,35)./STATES(:,13));
ALGEBRAIC(:,73) = ( CONSTANTS(:,34).*STATES(:,21))./CONSTANTS(:,36);
ALGEBRAIC(:,74) = ( 2.00000.*ALGEBRAIC(:,64) - (ALGEBRAIC(:,65)+ALGEBRAIC(:,57)+ALGEBRAIC(:,63)))./( 2.00000.*CONSTANTS(:,44).*CONSTANTS(:,3))+( CONSTANTS(:,49).*(ALGEBRAIC(:,73) - ALGEBRAIC(:,71))+ ALGEBRAIC(:,66).*CONSTANTS(:,48))./CONSTANTS(:,44);
ALGEBRAIC(:,75) = 1.00000+( CONSTANTS(:,38).*CONSTANTS(:,41))./power(STATES(:,13)+CONSTANTS(:,41), 2.00000)+( CONSTANTS(:,37).*CONSTANTS(:,40))./power(STATES(:,13)+CONSTANTS(:,40), 2.00000);
ALGEBRAIC(:,15) = ( CONSTANTS(:,37).*STATES(:,13))./(STATES(:,13)+CONSTANTS(:,40));
ALGEBRAIC(:,16) = ( CONSTANTS(:,38).*STATES(:,13))./(STATES(:,13)+CONSTANTS(:,41));
ALGEBRAIC(:,17) = ( CONSTANTS(:,39).*STATES(:,17))./(STATES(:,17)+CONSTANTS(:,42));
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