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 =72;
end
% There are a total of 26 entries in each of the rate and state variable arrays.
% There are a total of 48 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(:,30) = strpad('i_Na in component fast_sodium_current (picoA)');
LEGEND_ALGEBRAIC(:,48) = strpad('i_K1 in component time_independent_potassium_current (picoA)');
LEGEND_ALGEBRAIC(:,49) = strpad('i_to in component transient_outward_K_current (picoA)');
LEGEND_ALGEBRAIC(:,50) = strpad('i_Kur in component ultrarapid_delayed_rectifier_K_current (picoA)');
LEGEND_ALGEBRAIC(:,51) = strpad('i_Kr in component rapid_delayed_rectifier_K_current (picoA)');
LEGEND_ALGEBRAIC(:,52) = strpad('i_Ks in component slow_delayed_rectifier_K_current (picoA)');
LEGEND_ALGEBRAIC(:,54) = strpad('i_Ca_L in component L_type_Ca_channel (picoA)');
LEGEND_ALGEBRAIC(:,61) = strpad('i_CaP in component sarcolemmal_calcium_pump_current (picoA)');
LEGEND_ALGEBRAIC(:,56) = strpad('i_NaK in component sodium_potassium_pump (picoA)');
LEGEND_ALGEBRAIC(:,60) = strpad('i_NaCa in component Na_Ca_exchanger_current (picoA)');
LEGEND_ALGEBRAIC(:,57) = strpad('i_B_Na in component background_currents (picoA)');
LEGEND_ALGEBRAIC(:,58) = strpad('i_B_Ca in component background_currents (picoA)');
LEGEND_ALGEBRAIC(:,59) = strpad('i_B_Cl in component background_currents (picoA)');
LEGEND_ALGEBRAIC(:,53) = strpad('i_K_Ach in component i_K_Ach (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(:,16) = 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(:,17) = strpad('beta_m in component fast_sodium_current_m_gate (per_millisecond)');
LEGEND_ALGEBRAIC(:,31) = strpad('m_inf in component fast_sodium_current_m_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,40) = 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(:,18) = strpad('beta_h in component fast_sodium_current_h_gate (per_millisecond)');
LEGEND_ALGEBRAIC(:,32) = strpad('h_inf in component fast_sodium_current_h_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,41) = 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(:,19) = strpad('beta_j in component fast_sodium_current_j_gate (per_millisecond)');
LEGEND_ALGEBRAIC(:,33) = strpad('j_inf in component fast_sodium_current_j_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,42) = strpad('tau_j in component fast_sodium_current_j_gate (millisecond)');
LEGEND_ALGEBRAIC(:,39) = 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('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('tau_oa in component transient_outward_K_current_oa_gate (millisecond)');
LEGEND_ALGEBRAIC(:,20) = 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(:,21) = strpad('beta_oi in component transient_outward_K_current_oi_gate (per_millisecond)');
LEGEND_ALGEBRAIC(:,34) = strpad('tau_oi in component transient_outward_K_current_oi_gate (millisecond)');
LEGEND_ALGEBRAIC(:,43) = strpad('oi_infinity in component transient_outward_K_current_oi_gate (dimensionless)');
LEGEND_CONSTANTS(:,15) = 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(:,22) = strpad('beta_ua in component ultrarapid_delayed_rectifier_K_current_ua_gate (per_millisecond)');
LEGEND_ALGEBRAIC(:,35) = strpad('tau_ua in component ultrarapid_delayed_rectifier_K_current_ua_gate (millisecond)');
LEGEND_ALGEBRAIC(:,44) = 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(:,23) = strpad('beta_ui in component ultrarapid_delayed_rectifier_K_current_ui_gate (per_millisecond)');
LEGEND_ALGEBRAIC(:,36) = strpad('tau_ui in component ultrarapid_delayed_rectifier_K_current_ui_gate (millisecond)');
LEGEND_ALGEBRAIC(:,45) = 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(:,24) = strpad('beta_xr in component rapid_delayed_rectifier_K_current_xr_gate (per_millisecond)');
LEGEND_ALGEBRAIC(:,37) = strpad('tau_xr in component rapid_delayed_rectifier_K_current_xr_gate (millisecond)');
LEGEND_ALGEBRAIC(:,46) = 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(:,25) = strpad('beta_xs in component slow_delayed_rectifier_K_current_xs_gate (per_millisecond)');
LEGEND_ALGEBRAIC(:,38) = strpad('tau_xs in component slow_delayed_rectifier_K_current_xs_gate (millisecond)');
LEGEND_ALGEBRAIC(:,47) = strpad('xs_infinity in component slow_delayed_rectifier_K_current_xs_gate (dimensionless)');
LEGEND_CONSTANTS(:,18) = strpad('g_K_Ach in component i_K_Ach (nanoS_per_picoF)');
LEGEND_STATES(:,13) = strpad('xa in component i_K_Ach_xa_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,11) = strpad('tau_xa in component i_K_Ach_xa_gate (millisecond)');
LEGEND_ALGEBRAIC(:,26) = strpad('xa_infinity in component i_K_Ach_xa_gate (dimensionless)');
LEGEND_CONSTANTS(:,19) = strpad('g_Ca_L in component L_type_Ca_channel (nanoS_per_picoF)');
LEGEND_STATES(:,14) = strpad('Ca_i in component intracellular_ion_concentrations (millimolar)');
LEGEND_STATES(:,15) = strpad('d in component L_type_Ca_channel_d_gate (dimensionless)');
LEGEND_STATES(:,16) = strpad('f in component L_type_Ca_channel_f_gate (dimensionless)');
LEGEND_STATES(:,17) = strpad('f_Ca in component L_type_Ca_channel_f_Ca_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,12) = strpad('d_infinity in component L_type_Ca_channel_d_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,27) = strpad('tau_d in component L_type_Ca_channel_d_gate (millisecond)');
LEGEND_ALGEBRAIC(:,13) = strpad('f_infinity in component L_type_Ca_channel_f_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,28) = strpad('tau_f in component L_type_Ca_channel_f_gate (millisecond)');
LEGEND_ALGEBRAIC(:,14) = strpad('f_Ca_infinity in component L_type_Ca_channel_f_Ca_gate (dimensionless)');
LEGEND_CONSTANTS(:,44) = strpad('tau_f_Ca in component L_type_Ca_channel_f_Ca_gate (millisecond)');
LEGEND_CONSTANTS(:,20) = strpad('Km_Na_i in component sodium_potassium_pump (millimolar)');
LEGEND_CONSTANTS(:,21) = strpad('Km_K_o in component sodium_potassium_pump (millimolar)');
LEGEND_CONSTANTS(:,22) = strpad('i_NaK_max in component sodium_potassium_pump (picoA_per_picoF)');
LEGEND_ALGEBRAIC(:,55) = strpad('f_NaK in component sodium_potassium_pump (dimensionless)');
LEGEND_CONSTANTS(:,45) = strpad('sigma in component sodium_potassium_pump (dimensionless)');
LEGEND_CONSTANTS(:,23) = strpad('g_B_Na in component background_currents (nanoS_per_picoF)');
LEGEND_CONSTANTS(:,24) = strpad('g_B_Ca in component background_currents (nanoS_per_picoF)');
LEGEND_CONSTANTS(:,25) = strpad('g_B_Cl in component background_currents (nanoS_per_picoF)');
LEGEND_CONSTANTS(:,26) = strpad('Ca_o in component standard_ionic_concentrations (millimolar)');
LEGEND_STATES(:,18) = strpad('Cl_i in component intracellular_ion_concentrations (millimolar)');
LEGEND_CONSTANTS(:,27) = strpad('Cl_o in component standard_ionic_concentrations (millimolar)');
LEGEND_CONSTANTS(:,28) = strpad('I_NaCa_max in component Na_Ca_exchanger_current (picoA_per_picoF)');
LEGEND_CONSTANTS(:,29) = strpad('K_mNa in component Na_Ca_exchanger_current (millimolar)');
LEGEND_CONSTANTS(:,30) = strpad('K_mCa in component Na_Ca_exchanger_current (millimolar)');
LEGEND_CONSTANTS(:,31) = strpad('K_sat in component Na_Ca_exchanger_current (dimensionless)');
LEGEND_CONSTANTS(:,32) = strpad('gamma in component Na_Ca_exchanger_current (dimensionless)');
LEGEND_CONSTANTS(:,33) = strpad('i_CaP_max in component sarcolemmal_calcium_pump_current (picoA_per_picoF)');
LEGEND_ALGEBRAIC(:,62) = strpad('i_rel in component Ca_release_current_from_JSR (millimolar_per_millisecond)');
LEGEND_ALGEBRAIC(:,63) = strpad('Fn in component Ca_release_current_from_JSR (dimensionless)');
LEGEND_CONSTANTS(:,34) = strpad('K_rel in component Ca_release_current_from_JSR (per_millisecond)');
LEGEND_CONSTANTS(:,47) = strpad('V_rel in component intracellular_ion_concentrations (micrometre_3)');
LEGEND_STATES(:,19) = strpad('Ca_rel in component intracellular_ion_concentrations (millimolar)');
LEGEND_STATES(:,20) = strpad('u in component Ca_release_current_from_JSR_u_gate (dimensionless)');
LEGEND_STATES(:,21) = strpad('v in component Ca_release_current_from_JSR_v_gate (dimensionless)');
LEGEND_STATES(:,22) = strpad('w in component Ca_release_current_from_JSR_w_gate (dimensionless)');
LEGEND_CONSTANTS(:,46) = strpad('tau_u in component Ca_release_current_from_JSR_u_gate (millisecond)');
LEGEND_ALGEBRAIC(:,65) = strpad('u_infinity in component Ca_release_current_from_JSR_u_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,66) = strpad('tau_v in component Ca_release_current_from_JSR_v_gate (millisecond)');
LEGEND_ALGEBRAIC(:,69) = strpad('v_infinity in component Ca_release_current_from_JSR_v_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,15) = strpad('tau_w in component Ca_release_current_from_JSR_w_gate (millisecond)');
LEGEND_ALGEBRAIC(:,29) = strpad('w_infinity in component Ca_release_current_from_JSR_w_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,64) = strpad('i_tr in component transfer_current_from_NSR_to_JSR (millimolar_per_millisecond)');
LEGEND_CONSTANTS(:,35) = strpad('tau_tr in component transfer_current_from_NSR_to_JSR (millisecond)');
LEGEND_STATES(:,23) = strpad('Ca_up in component intracellular_ion_concentrations (millimolar)');
LEGEND_CONSTANTS(:,36) = strpad('I_up_max in component Ca_uptake_current_by_the_NSR (millimolar_per_millisecond)');
LEGEND_ALGEBRAIC(:,67) = strpad('i_up in component Ca_uptake_current_by_the_NSR (millimolar_per_millisecond)');
LEGEND_CONSTANTS(:,37) = strpad('K_up in component Ca_uptake_current_by_the_NSR (millimolar)');
LEGEND_ALGEBRAIC(:,70) = strpad('i_up_leak in component Ca_leak_current_by_the_NSR (millimolar_per_millisecond)');
LEGEND_CONSTANTS(:,38) = strpad('Ca_up_max in component Ca_leak_current_by_the_NSR (millimolar)');
LEGEND_CONSTANTS(:,39) = strpad('CMDN_max in component Ca_buffers (millimolar)');
LEGEND_CONSTANTS(:,40) = strpad('TRPN_max in component Ca_buffers (millimolar)');
LEGEND_CONSTANTS(:,41) = strpad('CSQN_max in component Ca_buffers (millimolar)');
LEGEND_STATES(:,24) = strpad('Ca_CMDN in component Ca_buffers (millimolar)');
LEGEND_STATES(:,25) = strpad('Ca_TRPN in component Ca_buffers (millimolar)');
LEGEND_STATES(:,26) = strpad('Ca_CSQN in component Ca_buffers (millimolar)');
LEGEND_ALGEBRAIC(:,71) = strpad('var_CMDN in component Ca_buffers (millimolar)');
LEGEND_ALGEBRAIC(:,72) = strpad('var_TRPN in component Ca_buffers (millimolar)');
LEGEND_ALGEBRAIC(:,68) = strpad('var_CSQN in component Ca_buffers (millimolar)');
LEGEND_CONSTANTS(:,42) = strpad('V_cell in component intracellular_ion_concentrations (micrometre_3)');
LEGEND_CONSTANTS(:,43) = strpad('V_i in component intracellular_ion_concentrations (micrometre_3)');
LEGEND_CONSTANTS(:,48) = strpad('V_up in component intracellular_ion_concentrations (micrometre_3)');
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(:,13) = strpad('d/dt xa in component i_K_Ach_xa_gate (dimensionless)');
LEGEND_RATES(:,15) = strpad('d/dt d in component L_type_Ca_channel_d_gate (dimensionless)');
LEGEND_RATES(:,16) = strpad('d/dt f in component L_type_Ca_channel_f_gate (dimensionless)');
LEGEND_RATES(:,17) = strpad('d/dt f_Ca in component L_type_Ca_channel_f_Ca_gate (dimensionless)');
LEGEND_RATES(:,20) = strpad('d/dt u in component Ca_release_current_from_JSR_u_gate (dimensionless)');
LEGEND_RATES(:,21) = strpad('d/dt v in component Ca_release_current_from_JSR_v_gate (dimensionless)');
LEGEND_RATES(:,22) = strpad('d/dt w in component Ca_release_current_from_JSR_w_gate (dimensionless)');
LEGEND_RATES(:,24) = strpad('d/dt Ca_CMDN in component Ca_buffers (millimolar)');
LEGEND_RATES(:,25) = strpad('d/dt Ca_TRPN in component Ca_buffers (millimolar)');
LEGEND_RATES(:,26) = strpad('d/dt Ca_CSQN in component Ca_buffers (millimolar)');
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(:,18) = strpad('d/dt Cl_i in component intracellular_ion_concentrations (millimolar)');
LEGEND_RATES(:,14) = strpad('d/dt Ca_i in component intracellular_ion_concentrations (millimolar)');
LEGEND_RATES(:,23) = strpad('d/dt Ca_up in component intracellular_ion_concentrations (millimolar)');
LEGEND_RATES(:,19) = 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) = -85.53;
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) = 11.75;
CONSTANTS(:,11) = 140;
STATES(:,3) = 1.972e-3;
STATES(:,4) = 9.791e-1;
STATES(:,5) = 9.869e-1;
CONSTANTS(:,12) = 0.1;
CONSTANTS(:,13) = 5.4;
STATES(:,6) = 138.4;
CONSTANTS(:,14) = 0.096;
STATES(:,7) = 7.164e-2;
STATES(:,8) = 9.992e-1;
CONSTANTS(:,15) = 0.0115;
STATES(:,9) = 0.05869;
STATES(:,10) = 9.987e-1;
CONSTANTS(:,16) = 0.0145;
STATES(:,11) = 7.433e-7;
CONSTANTS(:,17) = 0.052;
STATES(:,12) = 0.01791;
CONSTANTS(:,18) = 0.0045;
STATES(:,13) = 1e-5;
CONSTANTS(:,19) = 0.34;
STATES(:,14) = 1.024e-4;
STATES(:,15) = 4.757e-6;
STATES(:,16) = 0.9999;
STATES(:,17) = 0.7484;
CONSTANTS(:,20) = 10;
CONSTANTS(:,21) = 1.5;
CONSTANTS(:,22) = 0.6;
CONSTANTS(:,23) = 1e-5;
CONSTANTS(:,24) = 1e-5;
CONSTANTS(:,25) = 8e-4;
CONSTANTS(:,26) = 1.8;
STATES(:,18) = 29.26;
CONSTANTS(:,27) = 132;
CONSTANTS(:,28) = 1600;
CONSTANTS(:,29) = 87.5;
CONSTANTS(:,30) = 1.38;
CONSTANTS(:,31) = 0.1;
CONSTANTS(:,32) = 0.35;
CONSTANTS(:,33) = 0.275;
CONSTANTS(:,34) = 8;
STATES(:,19) = 1.502;
STATES(:,20) = 0;
STATES(:,21) = 1;
STATES(:,22) = 0.9993;
CONSTANTS(:,35) = 180;
STATES(:,23) = 1.502;
CONSTANTS(:,36) = 0.0035;
CONSTANTS(:,37) = 6e-4;
CONSTANTS(:,38) = 27;
CONSTANTS(:,39) = 0.045;
CONSTANTS(:,40) = 0.35;
CONSTANTS(:,41) = 10;
STATES(:,24) = 1.856e-3;
STATES(:,25) = 7.022e-3;
STATES(:,26) = 6.432;
CONSTANTS(:,42) = 20100;
CONSTANTS(:,43) = CONSTANTS(:,42).*0.680000;
CONSTANTS(:,44) = 2.00000;
CONSTANTS(:,45) = (1.00000./7.00000).*(exp(CONSTANTS(:,11)./67.3000) - 1.00000);
CONSTANTS(:,46) = 11.2000;
CONSTANTS(:,47) = 0.00480000.*CONSTANTS(:,42);
CONSTANTS(:,48) = 0.0552000.*CONSTANTS(:,42);
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(:,14) = 0.290000+ 0.800000.*power(1.00000+(STATES(:,14) - 0.000120000)./6.00000e-05, - 1.00000);
RATES(:,17) = (ALGEBRAIC(:,14) - STATES(:,17))./CONSTANTS(:,44);
ALGEBRAIC(:,5) = 0.400000./exp((STATES(:,1) - 15.0000)./20.0000);
ALGEBRAIC(:,20) = power(1.00000+exp((STATES(:,1) - 12.0000)./ - 11.5000), - 1.00000./3.00000);
RATES(:,7) = (ALGEBRAIC(:,20) - STATES(:,7))./ALGEBRAIC(:,5);
ALGEBRAIC(:,11) = 360.000+ 130.000.*(1.00000 - exp( - (STATES(:,1)+130.000)./50.0000));
ALGEBRAIC(:,26) = 1.00000./(1.00000+exp(( - 93.0000 - STATES(:,1))./ - 15.2000));
RATES(:,13) = (ALGEBRAIC(:,26) - STATES(:,13))./ALGEBRAIC(:,11);
ALGEBRAIC(:,12) = power(1.00000+exp(( - STATES(:,1) - 2.00000)./5.00000), - 1.00000);
ALGEBRAIC(:,27) = piecewise({abs(STATES(:,1)+10.0000)<1.00000e-10, 0.763000 }, (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(:,15) = (ALGEBRAIC(:,12) - STATES(:,15))./ALGEBRAIC(:,27);
ALGEBRAIC(:,13) = 1.00000./(1.00000+exp((STATES(:,1)+34.0000)./6.30000));
ALGEBRAIC(:,28) = 400.000./(1.00000+ 4.50000.*exp( - power( (STATES(:,1) - 9.00000).*0.0265000, 2.00000)));
RATES(:,16) = (ALGEBRAIC(:,13) - STATES(:,16))./ALGEBRAIC(:,28);
ALGEBRAIC(:,15) = 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(:,29) = 1.00000 - power(1.00000+exp( - (STATES(:,1) - 40.0000)./17.0000), - 1.00000);
RATES(:,22) = (ALGEBRAIC(:,29) - STATES(:,22))./ALGEBRAIC(:,15);
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(:,17) = 0.0800000.*exp( - STATES(:,1)./11.0000);
ALGEBRAIC(:,31) = ALGEBRAIC(:,2)./(ALGEBRAIC(:,2)+ALGEBRAIC(:,17));
ALGEBRAIC(:,40) = 1.00000./(ALGEBRAIC(:,2)+ALGEBRAIC(:,17));
RATES(:,3) = (ALGEBRAIC(:,31) - STATES(:,3))./ALGEBRAIC(:,40);
ALGEBRAIC(:,3) = piecewise({STATES(:,1)< - 40.0000, 0.135000.*exp((STATES(:,1)+80.0000)./ - 6.80000) }, 0.00000);
ALGEBRAIC(:,18) = 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(:,32) = ALGEBRAIC(:,3)./(ALGEBRAIC(:,3)+ALGEBRAIC(:,18));
ALGEBRAIC(:,41) = 1.00000./(ALGEBRAIC(:,3)+ALGEBRAIC(:,18));
RATES(:,4) = (ALGEBRAIC(:,32) - STATES(:,4))./ALGEBRAIC(:,41);
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(:,19) = 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(:,33) = ALGEBRAIC(:,4)./(ALGEBRAIC(:,4)+ALGEBRAIC(:,19));
ALGEBRAIC(:,42) = 1.00000./(ALGEBRAIC(:,4)+ALGEBRAIC(:,19));
RATES(:,5) = (ALGEBRAIC(:,33) - STATES(:,5))./ALGEBRAIC(:,42);
ALGEBRAIC(:,6) = 1.00000./(1.20000+exp((STATES(:,1)+95.2000)./5.85000));
ALGEBRAIC(:,21) = 1.00000./(9.54000+exp((STATES(:,1) - 48.0000)./ - 20.0000));
ALGEBRAIC(:,34) = power(ALGEBRAIC(:,6)+ALGEBRAIC(:,21), - 1.00000);
ALGEBRAIC(:,43) = power(1.00000+exp((STATES(:,1)+31.0000)./6.45000), - 1.00000);
RATES(:,8) = (ALGEBRAIC(:,43) - STATES(:,8))./ALGEBRAIC(:,34);
ALGEBRAIC(:,7) = 1.47000./(exp((STATES(:,1)+33.2000)./ - 30.6300)+exp((STATES(:,1) - 27.6000)./ - 30.6500));
ALGEBRAIC(:,22) = 0.420000./(exp((STATES(:,1)+26.6400)./2.49000)+exp((STATES(:,1)+44.4100)./20.3600));
ALGEBRAIC(:,35) = power(ALGEBRAIC(:,7)+ALGEBRAIC(:,22), - 1.00000);
ALGEBRAIC(:,44) = power(1.00000+exp((STATES(:,1)+2.81000)./ - 9.49000), - 1.00000./3.00000);
RATES(:,9) = (ALGEBRAIC(:,44) - STATES(:,9))./ALGEBRAIC(:,35);
ALGEBRAIC(:,8) = 1.00000./(21.0000+exp((STATES(:,1) - 185.000)./ - 28.0000));
ALGEBRAIC(:,23) = 1.00000.*exp((STATES(:,1) - 158.000)./16.0000);
ALGEBRAIC(:,36) = power(ALGEBRAIC(:,8)+ALGEBRAIC(:,23), - 1.00000);
ALGEBRAIC(:,45) = power(1.00000+exp((STATES(:,1) - 99.4500)./27.4800), - 1.00000);
RATES(:,10) = (ALGEBRAIC(:,45) - STATES(:,10))./ALGEBRAIC(:,36);
ALGEBRAIC(:,9) = ( 0.0400000.*(STATES(:,1) - 248.000))./(1.00000 - exp((STATES(:,1) - 248.000)./ - 28.0000));
ALGEBRAIC(:,24) = ( 0.0280000.*(STATES(:,1)+163.000))./(exp((STATES(:,1)+163.000)./21.0000) - 1.00000);
ALGEBRAIC(:,37) = power(ALGEBRAIC(:,9)+ALGEBRAIC(:,24), - 1.00000);
ALGEBRAIC(:,46) = power(1.00000+exp((STATES(:,1)+7.65400)./ - 5.37700), - 1.00000);
RATES(:,11) = (ALGEBRAIC(:,46) - STATES(:,11))./ALGEBRAIC(:,37);
ALGEBRAIC(:,10) = piecewise({abs(STATES(:,1)+28.5000)<1.00000e-10, 0.00115000 }, ( 1.00000e-05.*(STATES(:,1)+28.5000))./(1.00000 - exp((STATES(:,1)+28.5000)./ - 115.000)));
ALGEBRAIC(:,25) = piecewise({abs(STATES(:,1)+28.5000)<1.00000e-10, 0.000759000 }, ( 0.000230000.*(STATES(:,1)+28.5000))./(exp((STATES(:,1)+28.5000)./3.30000) - 1.00000));
ALGEBRAIC(:,38) = power(ALGEBRAIC(:,10)+ALGEBRAIC(:,25), - 1.00000);
ALGEBRAIC(:,47) = power(1.00000+exp((STATES(:,1) - 13.0000)./ - 12.0000), - 0.500000);
RATES(:,12) = (ALGEBRAIC(:,47) - STATES(:,12))./ALGEBRAIC(:,38);
ALGEBRAIC(:,39) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,13)./STATES(:,6));
ALGEBRAIC(:,48) = ( CONSTANTS(:,4).*CONSTANTS(:,12).*(STATES(:,1) - ALGEBRAIC(:,39)))./(1.00000+exp( 0.0720000.*(STATES(:,1) - ALGEBRAIC(:,39))));
ALGEBRAIC(:,49) = CONSTANTS(:,4).*CONSTANTS(:,14).*power(STATES(:,7), 3.00000).*STATES(:,8).*(STATES(:,1) - ALGEBRAIC(:,39));
ALGEBRAIC(:,50) = CONSTANTS(:,4).*CONSTANTS(:,15).*(1.00000+3.00000./(1.00000+exp((STATES(:,1) - 14.0000)./ - 6.00000))).*power(STATES(:,9), 3.00000).*STATES(:,10).*(STATES(:,1) - ALGEBRAIC(:,39));
ALGEBRAIC(:,51) = CONSTANTS(:,4).*CONSTANTS(:,16).*STATES(:,11).*(STATES(:,1) - ALGEBRAIC(:,39)).*(0.600000+1.00000./(0.500000+ 0.500000.*exp((STATES(:,1)+8.00000)./24.4000)));
ALGEBRAIC(:,52) = CONSTANTS(:,4).*CONSTANTS(:,17).*power(STATES(:,12), 2.00000).*(STATES(:,1) - ALGEBRAIC(:,39));
ALGEBRAIC(:,55) = power(1.00000+ 0.124500.*exp(( - 0.100000.*CONSTANTS(:,3).*STATES(:,1))./( CONSTANTS(:,1).*CONSTANTS(:,2)))+ 0.0365000.*CONSTANTS(:,45).*exp(( - CONSTANTS(:,3).*STATES(:,1))./( CONSTANTS(:,1).*CONSTANTS(:,2))), - 1.00000);
ALGEBRAIC(:,56) = ( (( CONSTANTS(:,4).*CONSTANTS(:,22).*ALGEBRAIC(:,55))./(1.00000+power(CONSTANTS(:,20)./STATES(:,2), 1.50000))).*CONSTANTS(:,13))./(CONSTANTS(:,13)+CONSTANTS(:,21));
ALGEBRAIC(:,53) = ( CONSTANTS(:,4).*CONSTANTS(:,18).*STATES(:,13).*(STATES(:,1) - ALGEBRAIC(:,39)))./(0.100000+exp( 0.0780000.*((STATES(:,1) - ALGEBRAIC(:,39)) - 65.0000)));
RATES(:,6) = ( 2.00000.*ALGEBRAIC(:,56) - (ALGEBRAIC(:,48)+ALGEBRAIC(:,49)+ALGEBRAIC(:,50)+ALGEBRAIC(:,51)+ALGEBRAIC(:,52)+ALGEBRAIC(:,53)))./( CONSTANTS(:,43).*CONSTANTS(:,3));
ALGEBRAIC(:,59) = CONSTANTS(:,4).*CONSTANTS(:,25).*(STATES(:,1) - (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(STATES(:,18)./CONSTANTS(:,27)));
RATES(:,18) = ALGEBRAIC(:,59)./( CONSTANTS(:,43).*CONSTANTS(:,3));
ALGEBRAIC(:,16) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,11)./STATES(:,2));
ALGEBRAIC(:,30) = CONSTANTS(:,4).*CONSTANTS(:,10).*power(STATES(:,3), 3.00000).*STATES(:,4).*STATES(:,5).*(STATES(:,1) - ALGEBRAIC(:,16));
ALGEBRAIC(:,60) = ( CONSTANTS(:,4).*CONSTANTS(:,28).*( exp(( CONSTANTS(:,32).*CONSTANTS(:,3).*STATES(:,1))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(STATES(:,2), 3.00000).*CONSTANTS(:,26) - exp(( (CONSTANTS(:,32) - 1.00000).*CONSTANTS(:,3).*STATES(:,1))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(CONSTANTS(:,11), 3.00000).*STATES(:,14)))./( (power(CONSTANTS(:,29), 3.00000)+power(CONSTANTS(:,11), 3.00000)).*(CONSTANTS(:,30)+CONSTANTS(:,26)).*(1.00000+ CONSTANTS(:,31).*exp(( (CONSTANTS(:,32) - 1.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))));
ALGEBRAIC(:,57) = CONSTANTS(:,4).*CONSTANTS(:,23).*(STATES(:,1) - ALGEBRAIC(:,16));
RATES(:,2) = ( - 3.00000.*ALGEBRAIC(:,56) - ( 3.00000.*ALGEBRAIC(:,60)+ALGEBRAIC(:,57)+ALGEBRAIC(:,30)))./( CONSTANTS(:,43).*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(:,54) = CONSTANTS(:,4).*CONSTANTS(:,19).*STATES(:,15).*STATES(:,16).*STATES(:,17).*(STATES(:,1) - 60.0000);
ALGEBRAIC(:,61) = ( CONSTANTS(:,4).*CONSTANTS(:,33).*STATES(:,14))./(0.000500000+STATES(:,14));
ALGEBRAIC(:,58) = CONSTANTS(:,4).*CONSTANTS(:,24).*(STATES(:,1) - (( CONSTANTS(:,1).*CONSTANTS(:,2))./( 2.00000.*CONSTANTS(:,3))).*log(CONSTANTS(:,26)./STATES(:,14)));
RATES(:,1) = - (ALGEBRAIC(:,30)+ALGEBRAIC(:,48)+ALGEBRAIC(:,49)+ALGEBRAIC(:,50)+ALGEBRAIC(:,51)+ALGEBRAIC(:,52)+ALGEBRAIC(:,57)+ALGEBRAIC(:,58)+ALGEBRAIC(:,56)+ALGEBRAIC(:,61)+ALGEBRAIC(:,60)+ALGEBRAIC(:,54)+ALGEBRAIC(:,1)+ALGEBRAIC(:,59)+ALGEBRAIC(:,53))./CONSTANTS(:,4);
ALGEBRAIC(:,62) = CONSTANTS(:,34).*power(STATES(:,20), 2.00000).*STATES(:,21).*STATES(:,22).*(STATES(:,19) - STATES(:,14));
ALGEBRAIC(:,63) = 1000.00.*( 1.00000e-15.*CONSTANTS(:,47).*ALGEBRAIC(:,62) - (1.00000e-15./( 2.00000.*CONSTANTS(:,3))).*( 0.500000.*ALGEBRAIC(:,54) - 0.200000.*ALGEBRAIC(:,60)));
ALGEBRAIC(:,65) = power(1.00000+exp( - (ALGEBRAIC(:,63) - 3.41750e-13)./1.36700e-15), - 1.00000);
RATES(:,20) = (ALGEBRAIC(:,65) - STATES(:,20))./CONSTANTS(:,46);
ALGEBRAIC(:,68) = 0.480000.*STATES(:,19).*(1.00000 - STATES(:,26)./CONSTANTS(:,41)) - ( 0.400000.*STATES(:,26))./CONSTANTS(:,41);
RATES(:,26) = ALGEBRAIC(:,68).*CONSTANTS(:,41);
ALGEBRAIC(:,64) = (STATES(:,23) - STATES(:,19))./CONSTANTS(:,35);
RATES(:,19) = (ALGEBRAIC(:,64) - ALGEBRAIC(:,62)) - 31.0000.*ALGEBRAIC(:,68);
ALGEBRAIC(:,66) = 1.91000+ 2.09000.*power(1.00000+exp( - (ALGEBRAIC(:,63) - 3.41750e-13)./1.36700e-15), - 1.00000);
ALGEBRAIC(:,69) = 1.00000 - power(1.00000+exp( - (ALGEBRAIC(:,63) - 6.83500e-14)./1.36700e-15), - 1.00000);
RATES(:,21) = (ALGEBRAIC(:,69) - STATES(:,21))./ALGEBRAIC(:,66);
ALGEBRAIC(:,67) = CONSTANTS(:,36)./(1.00000+CONSTANTS(:,37)./STATES(:,14));
ALGEBRAIC(:,70) = ( CONSTANTS(:,36).*STATES(:,23))./CONSTANTS(:,38);
RATES(:,23) = ALGEBRAIC(:,67) - (ALGEBRAIC(:,70)+( ALGEBRAIC(:,64).*CONSTANTS(:,47))./CONSTANTS(:,48));
ALGEBRAIC(:,71) = 200.000.*STATES(:,14).*(1.00000 - STATES(:,24)./CONSTANTS(:,39)) - ( 0.476000.*STATES(:,24))./CONSTANTS(:,39);
RATES(:,24) = ALGEBRAIC(:,71).*CONSTANTS(:,39);
ALGEBRAIC(:,72) = 78.4000.*STATES(:,14).*(1.00000 - STATES(:,25)./CONSTANTS(:,40)) - ( 0.392000.*STATES(:,25))./CONSTANTS(:,40);
RATES(:,25) = ALGEBRAIC(:,72).*CONSTANTS(:,40);
RATES(:,14) = ((( 2.00000.*ALGEBRAIC(:,60) - (ALGEBRAIC(:,61)+ALGEBRAIC(:,54)+ALGEBRAIC(:,58)))./( 2.00000.*CONSTANTS(:,43).*CONSTANTS(:,3))+( CONSTANTS(:,48).*(ALGEBRAIC(:,70) - ALGEBRAIC(:,67))+ ALGEBRAIC(:,62).*CONSTANTS(:,47))./CONSTANTS(:,43)) - CONSTANTS(:,40).*ALGEBRAIC(:,72)) - CONSTANTS(:,39).*ALGEBRAIC(:,71);
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(:,14) = 0.290000+ 0.800000.*power(1.00000+(STATES(:,14) - 0.000120000)./6.00000e-05, - 1.00000);
ALGEBRAIC(:,5) = 0.400000./exp((STATES(:,1) - 15.0000)./20.0000);
ALGEBRAIC(:,20) = power(1.00000+exp((STATES(:,1) - 12.0000)./ - 11.5000), - 1.00000./3.00000);
ALGEBRAIC(:,11) = 360.000+ 130.000.*(1.00000 - exp( - (STATES(:,1)+130.000)./50.0000));
ALGEBRAIC(:,26) = 1.00000./(1.00000+exp(( - 93.0000 - STATES(:,1))./ - 15.2000));
ALGEBRAIC(:,12) = power(1.00000+exp(( - STATES(:,1) - 2.00000)./5.00000), - 1.00000);
ALGEBRAIC(:,27) = piecewise({abs(STATES(:,1)+10.0000)<1.00000e-10, 0.763000 }, (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(:,13) = 1.00000./(1.00000+exp((STATES(:,1)+34.0000)./6.30000));
ALGEBRAIC(:,28) = 400.000./(1.00000+ 4.50000.*exp( - power( (STATES(:,1) - 9.00000).*0.0265000, 2.00000)));
ALGEBRAIC(:,15) = 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(:,29) = 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(:,17) = 0.0800000.*exp( - STATES(:,1)./11.0000);
ALGEBRAIC(:,31) = ALGEBRAIC(:,2)./(ALGEBRAIC(:,2)+ALGEBRAIC(:,17));
ALGEBRAIC(:,40) = 1.00000./(ALGEBRAIC(:,2)+ALGEBRAIC(:,17));
ALGEBRAIC(:,3) = piecewise({STATES(:,1)< - 40.0000, 0.135000.*exp((STATES(:,1)+80.0000)./ - 6.80000) }, 0.00000);
ALGEBRAIC(:,18) = 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(:,32) = ALGEBRAIC(:,3)./(ALGEBRAIC(:,3)+ALGEBRAIC(:,18));
ALGEBRAIC(:,41) = 1.00000./(ALGEBRAIC(:,3)+ALGEBRAIC(:,18));
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(:,19) = 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(:,33) = ALGEBRAIC(:,4)./(ALGEBRAIC(:,4)+ALGEBRAIC(:,19));
ALGEBRAIC(:,42) = 1.00000./(ALGEBRAIC(:,4)+ALGEBRAIC(:,19));
ALGEBRAIC(:,6) = 1.00000./(1.20000+exp((STATES(:,1)+95.2000)./5.85000));
ALGEBRAIC(:,21) = 1.00000./(9.54000+exp((STATES(:,1) - 48.0000)./ - 20.0000));
ALGEBRAIC(:,34) = power(ALGEBRAIC(:,6)+ALGEBRAIC(:,21), - 1.00000);
ALGEBRAIC(:,43) = power(1.00000+exp((STATES(:,1)+31.0000)./6.45000), - 1.00000);
ALGEBRAIC(:,7) = 1.47000./(exp((STATES(:,1)+33.2000)./ - 30.6300)+exp((STATES(:,1) - 27.6000)./ - 30.6500));
ALGEBRAIC(:,22) = 0.420000./(exp((STATES(:,1)+26.6400)./2.49000)+exp((STATES(:,1)+44.4100)./20.3600));
ALGEBRAIC(:,35) = power(ALGEBRAIC(:,7)+ALGEBRAIC(:,22), - 1.00000);
ALGEBRAIC(:,44) = power(1.00000+exp((STATES(:,1)+2.81000)./ - 9.49000), - 1.00000./3.00000);
ALGEBRAIC(:,8) = 1.00000./(21.0000+exp((STATES(:,1) - 185.000)./ - 28.0000));
ALGEBRAIC(:,23) = 1.00000.*exp((STATES(:,1) - 158.000)./16.0000);
ALGEBRAIC(:,36) = power(ALGEBRAIC(:,8)+ALGEBRAIC(:,23), - 1.00000);
ALGEBRAIC(:,45) = power(1.00000+exp((STATES(:,1) - 99.4500)./27.4800), - 1.00000);
ALGEBRAIC(:,9) = ( 0.0400000.*(STATES(:,1) - 248.000))./(1.00000 - exp((STATES(:,1) - 248.000)./ - 28.0000));
ALGEBRAIC(:,24) = ( 0.0280000.*(STATES(:,1)+163.000))./(exp((STATES(:,1)+163.000)./21.0000) - 1.00000);
ALGEBRAIC(:,37) = power(ALGEBRAIC(:,9)+ALGEBRAIC(:,24), - 1.00000);
ALGEBRAIC(:,46) = power(1.00000+exp((STATES(:,1)+7.65400)./ - 5.37700), - 1.00000);
ALGEBRAIC(:,10) = piecewise({abs(STATES(:,1)+28.5000)<1.00000e-10, 0.00115000 }, ( 1.00000e-05.*(STATES(:,1)+28.5000))./(1.00000 - exp((STATES(:,1)+28.5000)./ - 115.000)));
ALGEBRAIC(:,25) = piecewise({abs(STATES(:,1)+28.5000)<1.00000e-10, 0.000759000 }, ( 0.000230000.*(STATES(:,1)+28.5000))./(exp((STATES(:,1)+28.5000)./3.30000) - 1.00000));
ALGEBRAIC(:,38) = power(ALGEBRAIC(:,10)+ALGEBRAIC(:,25), - 1.00000);
ALGEBRAIC(:,47) = power(1.00000+exp((STATES(:,1) - 13.0000)./ - 12.0000), - 0.500000);
ALGEBRAIC(:,39) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,13)./STATES(:,6));
ALGEBRAIC(:,48) = ( CONSTANTS(:,4).*CONSTANTS(:,12).*(STATES(:,1) - ALGEBRAIC(:,39)))./(1.00000+exp( 0.0720000.*(STATES(:,1) - ALGEBRAIC(:,39))));
ALGEBRAIC(:,49) = CONSTANTS(:,4).*CONSTANTS(:,14).*power(STATES(:,7), 3.00000).*STATES(:,8).*(STATES(:,1) - ALGEBRAIC(:,39));
ALGEBRAIC(:,50) = CONSTANTS(:,4).*CONSTANTS(:,15).*(1.00000+3.00000./(1.00000+exp((STATES(:,1) - 14.0000)./ - 6.00000))).*power(STATES(:,9), 3.00000).*STATES(:,10).*(STATES(:,1) - ALGEBRAIC(:,39));
ALGEBRAIC(:,51) = CONSTANTS(:,4).*CONSTANTS(:,16).*STATES(:,11).*(STATES(:,1) - ALGEBRAIC(:,39)).*(0.600000+1.00000./(0.500000+ 0.500000.*exp((STATES(:,1)+8.00000)./24.4000)));
ALGEBRAIC(:,52) = CONSTANTS(:,4).*CONSTANTS(:,17).*power(STATES(:,12), 2.00000).*(STATES(:,1) - ALGEBRAIC(:,39));
ALGEBRAIC(:,55) = power(1.00000+ 0.124500.*exp(( - 0.100000.*CONSTANTS(:,3).*STATES(:,1))./( CONSTANTS(:,1).*CONSTANTS(:,2)))+ 0.0365000.*CONSTANTS(:,45).*exp(( - CONSTANTS(:,3).*STATES(:,1))./( CONSTANTS(:,1).*CONSTANTS(:,2))), - 1.00000);
ALGEBRAIC(:,56) = ( (( CONSTANTS(:,4).*CONSTANTS(:,22).*ALGEBRAIC(:,55))./(1.00000+power(CONSTANTS(:,20)./STATES(:,2), 1.50000))).*CONSTANTS(:,13))./(CONSTANTS(:,13)+CONSTANTS(:,21));
ALGEBRAIC(:,53) = ( CONSTANTS(:,4).*CONSTANTS(:,18).*STATES(:,13).*(STATES(:,1) - ALGEBRAIC(:,39)))./(0.100000+exp( 0.0780000.*((STATES(:,1) - ALGEBRAIC(:,39)) - 65.0000)));
ALGEBRAIC(:,59) = CONSTANTS(:,4).*CONSTANTS(:,25).*(STATES(:,1) - (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(STATES(:,18)./CONSTANTS(:,27)));
ALGEBRAIC(:,16) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,11)./STATES(:,2));
ALGEBRAIC(:,30) = CONSTANTS(:,4).*CONSTANTS(:,10).*power(STATES(:,3), 3.00000).*STATES(:,4).*STATES(:,5).*(STATES(:,1) - ALGEBRAIC(:,16));
ALGEBRAIC(:,60) = ( CONSTANTS(:,4).*CONSTANTS(:,28).*( exp(( CONSTANTS(:,32).*CONSTANTS(:,3).*STATES(:,1))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(STATES(:,2), 3.00000).*CONSTANTS(:,26) - exp(( (CONSTANTS(:,32) - 1.00000).*CONSTANTS(:,3).*STATES(:,1))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(CONSTANTS(:,11), 3.00000).*STATES(:,14)))./( (power(CONSTANTS(:,29), 3.00000)+power(CONSTANTS(:,11), 3.00000)).*(CONSTANTS(:,30)+CONSTANTS(:,26)).*(1.00000+ CONSTANTS(:,31).*exp(( (CONSTANTS(:,32) - 1.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))));
ALGEBRAIC(:,57) = CONSTANTS(:,4).*CONSTANTS(:,23).*(STATES(:,1) - ALGEBRAIC(:,16));
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(:,54) = CONSTANTS(:,4).*CONSTANTS(:,19).*STATES(:,15).*STATES(:,16).*STATES(:,17).*(STATES(:,1) - 60.0000);
ALGEBRAIC(:,61) = ( CONSTANTS(:,4).*CONSTANTS(:,33).*STATES(:,14))./(0.000500000+STATES(:,14));
ALGEBRAIC(:,58) = CONSTANTS(:,4).*CONSTANTS(:,24).*(STATES(:,1) - (( CONSTANTS(:,1).*CONSTANTS(:,2))./( 2.00000.*CONSTANTS(:,3))).*log(CONSTANTS(:,26)./STATES(:,14)));
ALGEBRAIC(:,62) = CONSTANTS(:,34).*power(STATES(:,20), 2.00000).*STATES(:,21).*STATES(:,22).*(STATES(:,19) - STATES(:,14));
ALGEBRAIC(:,63) = 1000.00.*( 1.00000e-15.*CONSTANTS(:,47).*ALGEBRAIC(:,62) - (1.00000e-15./( 2.00000.*CONSTANTS(:,3))).*( 0.500000.*ALGEBRAIC(:,54) - 0.200000.*ALGEBRAIC(:,60)));
ALGEBRAIC(:,65) = power(1.00000+exp( - (ALGEBRAIC(:,63) - 3.41750e-13)./1.36700e-15), - 1.00000);
ALGEBRAIC(:,68) = 0.480000.*STATES(:,19).*(1.00000 - STATES(:,26)./CONSTANTS(:,41)) - ( 0.400000.*STATES(:,26))./CONSTANTS(:,41);
ALGEBRAIC(:,64) = (STATES(:,23) - STATES(:,19))./CONSTANTS(:,35);
ALGEBRAIC(:,66) = 1.91000+ 2.09000.*power(1.00000+exp( - (ALGEBRAIC(:,63) - 3.41750e-13)./1.36700e-15), - 1.00000);
ALGEBRAIC(:,69) = 1.00000 - power(1.00000+exp( - (ALGEBRAIC(:,63) - 6.83500e-14)./1.36700e-15), - 1.00000);
ALGEBRAIC(:,67) = CONSTANTS(:,36)./(1.00000+CONSTANTS(:,37)./STATES(:,14));
ALGEBRAIC(:,70) = ( CONSTANTS(:,36).*STATES(:,23))./CONSTANTS(:,38);
ALGEBRAIC(:,71) = 200.000.*STATES(:,14).*(1.00000 - STATES(:,24)./CONSTANTS(:,39)) - ( 0.476000.*STATES(:,24))./CONSTANTS(:,39);
ALGEBRAIC(:,72) = 78.4000.*STATES(:,14).*(1.00000 - STATES(:,25)./CONSTANTS(:,40)) - ( 0.392000.*STATES(:,25))./CONSTANTS(:,40);
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