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 =54;
end
% There are a total of 21 entries in each of the rate and state variable arrays.
% There are a total of 72 entries in the constant variable array.
%
function [VOI, STATES, ALGEBRAIC, CONSTANTS] = solveModel()
% Create ALGEBRAIC of correct size
global algebraicVariableCount; algebraicVariableCount = getAlgebraicVariableCount();
% Initialise constants and state variables
[INIT_STATES, CONSTANTS] = initConsts;
% Set timespan to solve over
tspan = [0, 10];
% Set numerical accuracy options for ODE solver
options = odeset('RelTol', 1e-06, 'AbsTol', 1e-06, 'MaxStep', 1);
% Solve model with ODE solver
[VOI, STATES] = ode15s(@(VOI, STATES)computeRates(VOI, STATES, CONSTANTS), tspan, INIT_STATES, options);
% Compute algebraic variables
[RATES, ALGEBRAIC] = computeRates(VOI, STATES, CONSTANTS);
ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, VOI);
% Plot state variables against variable of integration
[LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends();
figure();
plot(VOI, STATES);
xlabel(LEGEND_VOI);
l = legend(LEGEND_STATES);
set(l,'Interpreter','none');
end
function [LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends()
LEGEND_STATES = ''; LEGEND_ALGEBRAIC = ''; LEGEND_VOI = ''; LEGEND_CONSTANTS = '';
LEGEND_VOI = strpad('time in component environment (second)');
LEGEND_STATES(:,1) = strpad('V in component membrane (millivolt)');
LEGEND_CONSTANTS(:,1) = strpad('R in component membrane (joule_per_kilomole_kelvin)');
LEGEND_CONSTANTS(:,2) = strpad('T in component membrane (kelvin)');
LEGEND_CONSTANTS(:,3) = strpad('F in component membrane (coulomb_per_mole)');
LEGEND_CONSTANTS(:,4) = strpad('Cm in component membrane (microF)');
LEGEND_ALGEBRAIC(:,30) = strpad('i_K1 in component time_independent_potassium_current (nanoA)');
LEGEND_ALGEBRAIC(:,46) = strpad('i_to in component transient_outward_current (nanoA)');
LEGEND_ALGEBRAIC(:,32) = strpad('i_Kr in component rapid_delayed_rectifier_potassium_current (nanoA)');
LEGEND_ALGEBRAIC(:,34) = strpad('i_Ks in component slow_delayed_rectifier_potassium_current (nanoA)');
LEGEND_ALGEBRAIC(:,39) = strpad('i_Ca_L_K_cyt in component L_type_Ca_channel (nanoA)');
LEGEND_ALGEBRAIC(:,42) = strpad('i_Ca_L_K_ds in component L_type_Ca_channel (nanoA)');
LEGEND_ALGEBRAIC(:,47) = strpad('i_NaK in component sodium_potassium_pump (nanoA)');
LEGEND_ALGEBRAIC(:,35) = strpad('i_Na in component fast_sodium_current (nanoA)');
LEGEND_ALGEBRAIC(:,37) = strpad('i_b_Na in component sodium_background_current (nanoA)');
LEGEND_ALGEBRAIC(:,36) = strpad('i_p_Na in component persistent_sodium_current (nanoA)');
LEGEND_ALGEBRAIC(:,40) = strpad('i_Ca_L_Na_cyt in component L_type_Ca_channel (nanoA)');
LEGEND_ALGEBRAIC(:,43) = strpad('i_Ca_L_Na_ds in component L_type_Ca_channel (nanoA)');
LEGEND_ALGEBRAIC(:,48) = strpad('i_NaCa_cyt in component sodium_calcium_exchanger (nanoA)');
LEGEND_ALGEBRAIC(:,49) = strpad('i_NaCa_ds in component sodium_calcium_exchanger (nanoA)');
LEGEND_ALGEBRAIC(:,38) = strpad('i_Ca_L_Ca_cyt in component L_type_Ca_channel (nanoA)');
LEGEND_ALGEBRAIC(:,41) = strpad('i_Ca_L_Ca_ds in component L_type_Ca_channel (nanoA)');
LEGEND_ALGEBRAIC(:,45) = strpad('i_b_Ca in component calcium_background_current (nanoA)');
LEGEND_ALGEBRAIC(:,8) = strpad('i_Stim in component membrane (nanoA)');
LEGEND_CONSTANTS(:,5) = strpad('stim_start in component membrane (second)');
LEGEND_CONSTANTS(:,6) = strpad('stim_end in component membrane (second)');
LEGEND_CONSTANTS(:,7) = strpad('stim_period in component membrane (second)');
LEGEND_CONSTANTS(:,8) = strpad('stim_duration in component membrane (second)');
LEGEND_CONSTANTS(:,9) = strpad('stim_amplitude in component membrane (nanoA)');
LEGEND_ALGEBRAIC(:,17) = strpad('E_Na in component reversal_potentials (millivolt)');
LEGEND_ALGEBRAIC(:,22) = strpad('E_K in component reversal_potentials (millivolt)');
LEGEND_ALGEBRAIC(:,24) = strpad('E_Ks in component reversal_potentials (millivolt)');
LEGEND_ALGEBRAIC(:,26) = strpad('E_Ca in component reversal_potentials (millivolt)');
LEGEND_ALGEBRAIC(:,28) = strpad('E_mh in component reversal_potentials (millivolt)');
LEGEND_CONSTANTS(:,10) = strpad('P_kna in component reversal_potentials (dimensionless)');
LEGEND_CONSTANTS(:,11) = strpad('K_o in component extracellular_potassium_concentration (millimolar)');
LEGEND_CONSTANTS(:,12) = strpad('Na_o in component extracellular_sodium_concentration (millimolar)');
LEGEND_STATES(:,2) = strpad('K_i in component intracellular_potassium_concentration (millimolar)');
LEGEND_STATES(:,3) = strpad('Na_i in component intracellular_sodium_concentration (millimolar)');
LEGEND_CONSTANTS(:,13) = strpad('Ca_o in component extracellular_calcium_concentration (millimolar)');
LEGEND_STATES(:,4) = strpad('Ca_i in component intracellular_calcium_concentration (millimolar)');
LEGEND_CONSTANTS(:,14) = strpad('K_mk1 in component time_independent_potassium_current (millimolar)');
LEGEND_CONSTANTS(:,15) = strpad('g_K1 in component time_independent_potassium_current (microS)');
LEGEND_CONSTANTS(:,66) = strpad('g_Kr in component rapid_delayed_rectifier_potassium_current (microS)');
LEGEND_STATES(:,5) = strpad('xr in component rapid_delayed_rectifier_potassium_current_xr_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,1) = strpad('xr_inf in component rapid_delayed_rectifier_potassium_current_xr_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,10) = strpad('tau_xr in component rapid_delayed_rectifier_potassium_current_xr_gate (second)');
LEGEND_CONSTANTS(:,67) = strpad('g_Ks in component slow_delayed_rectifier_potassium_current (microS)');
LEGEND_STATES(:,6) = strpad('xs in component slow_delayed_rectifier_potassium_current_xs_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,2) = strpad('xs_inf in component slow_delayed_rectifier_potassium_current_xs_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,11) = strpad('tau_xs in component slow_delayed_rectifier_potassium_current_xs_gate (second)');
LEGEND_CONSTANTS(:,68) = strpad('g_Na in component fast_sodium_current (microS)');
LEGEND_CONSTANTS(:,16) = strpad('nachanneldensity in component fast_sodium_current (per_microF)');
LEGEND_CONSTANTS(:,17) = strpad('gnachannel in component fast_sodium_current (microS)');
LEGEND_STATES(:,7) = strpad('m in component fast_sodium_current_m_gate (dimensionless)');
LEGEND_STATES(:,8) = strpad('h in component fast_sodium_current_h_gate (dimensionless)');
LEGEND_CONSTANTS(:,18) = strpad('proton in component fast_sodium_current_h_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,12) = strpad('alpha_m in component fast_sodium_current_m_gate (per_second)');
LEGEND_ALGEBRAIC(:,19) = strpad('beta_m in component fast_sodium_current_m_gate (per_second)');
LEGEND_CONSTANTS(:,19) = strpad('delta_m in component fast_sodium_current_m_gate (millivolt)');
LEGEND_ALGEBRAIC(:,3) = strpad('E0_m in component fast_sodium_current_m_gate (millivolt)');
LEGEND_ALGEBRAIC(:,4) = strpad('alpha_h in component fast_sodium_current_h_gate (per_second)');
LEGEND_ALGEBRAIC(:,13) = strpad('beta_h in component fast_sodium_current_h_gate (per_second)');
LEGEND_CONSTANTS(:,69) = strpad('shifth in component fast_sodium_current_h_gate (millivolt)');
LEGEND_CONSTANTS(:,20) = strpad('g_pna in component persistent_sodium_current (microS)');
LEGEND_CONSTANTS(:,21) = strpad('g_bna in component sodium_background_current (microS)');
LEGEND_ALGEBRAIC(:,44) = strpad('i_Ca_L in component L_type_Ca_channel (nanoA)');
LEGEND_CONSTANTS(:,22) = strpad('P_Ca_L in component L_type_Ca_channel (nanoA_per_millimolar)');
LEGEND_CONSTANTS(:,23) = strpad('P_CaK in component L_type_Ca_channel (dimensionless)');
LEGEND_CONSTANTS(:,24) = strpad('P_CaNa in component L_type_Ca_channel (dimensionless)');
LEGEND_STATES(:,9) = strpad('Ca_ds in component intracellular_calcium_concentration (millimolar)');
LEGEND_STATES(:,10) = strpad('d in component L_type_Ca_channel_d_gate (dimensionless)');
LEGEND_STATES(:,11) = strpad('f in component L_type_Ca_channel_f_gate (dimensionless)');
LEGEND_STATES(:,12) = strpad('f2 in component L_type_Ca_channel_f2_gate (dimensionless)');
LEGEND_STATES(:,13) = strpad('f2ds in component L_type_Ca_channel_f2ds_gate (dimensionless)');
LEGEND_CONSTANTS(:,25) = strpad('Km_f2 in component L_type_Ca_channel (millimolar)');
LEGEND_CONSTANTS(:,26) = strpad('Km_f2ds in component L_type_Ca_channel (millimolar)');
LEGEND_CONSTANTS(:,27) = strpad('R_decay in component L_type_Ca_channel (per_second)');
LEGEND_CONSTANTS(:,28) = strpad('FrICa in component L_type_Ca_channel (dimensionless)');
LEGEND_ALGEBRAIC(:,14) = strpad('alpha_d in component L_type_Ca_channel_d_gate (per_second)');
LEGEND_ALGEBRAIC(:,20) = strpad('beta_d in component L_type_Ca_channel_d_gate (per_second)');
LEGEND_ALGEBRAIC(:,5) = strpad('E0_d in component L_type_Ca_channel_d_gate (millivolt)');
LEGEND_CONSTANTS(:,29) = strpad('speed_d in component L_type_Ca_channel_d_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,15) = strpad('alpha_f in component L_type_Ca_channel_f_gate (per_second)');
LEGEND_ALGEBRAIC(:,21) = strpad('beta_f in component L_type_Ca_channel_f_gate (per_second)');
LEGEND_CONSTANTS(:,30) = strpad('speed_f in component L_type_Ca_channel_f_gate (dimensionless)');
LEGEND_CONSTANTS(:,31) = strpad('delta_f in component L_type_Ca_channel_f_gate (millivolt)');
LEGEND_ALGEBRAIC(:,6) = strpad('E0_f in component L_type_Ca_channel_f_gate (millivolt)');
LEGEND_CONSTANTS(:,32) = strpad('g_bca in component calcium_background_current (microS)');
LEGEND_CONSTANTS(:,33) = strpad('g_to in component transient_outward_current (microS)');
LEGEND_CONSTANTS(:,34) = strpad('g_tos in component transient_outward_current (dimensionless)');
LEGEND_STATES(:,14) = strpad('s in component transient_outward_current_s_gate (dimensionless)');
LEGEND_STATES(:,15) = strpad('r in component transient_outward_current_r_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,7) = strpad('alpha_s in component transient_outward_current_s_gate (per_second)');
LEGEND_ALGEBRAIC(:,16) = strpad('beta_s in component transient_outward_current_s_gate (per_second)');
LEGEND_CONSTANTS(:,35) = strpad('i_NaK_max in component sodium_potassium_pump (nanoA)');
LEGEND_CONSTANTS(:,36) = strpad('K_mK in component sodium_potassium_pump (millimolar)');
LEGEND_CONSTANTS(:,37) = strpad('K_mNa in component sodium_potassium_pump (millimolar)');
LEGEND_ALGEBRAIC(:,51) = strpad('i_NaCa in component sodium_calcium_exchanger (nanoA)');
LEGEND_CONSTANTS(:,38) = strpad('k_NaCa in component sodium_calcium_exchanger (nanoA)');
LEGEND_CONSTANTS(:,39) = strpad('n_NaCa in component sodium_calcium_exchanger (dimensionless)');
LEGEND_CONSTANTS(:,40) = strpad('d_NaCa in component sodium_calcium_exchanger (dimensionless)');
LEGEND_CONSTANTS(:,41) = strpad('gamma in component sodium_calcium_exchanger (dimensionless)');
LEGEND_CONSTANTS(:,42) = strpad('FRiNaCa in component sodium_calcium_exchanger (dimensionless)');
LEGEND_ALGEBRAIC(:,52) = strpad('i_up in component sarcoplasmic_reticulum_calcium_pump (millimolar_per_second)');
LEGEND_CONSTANTS(:,70) = strpad('K_1 in component sarcoplasmic_reticulum_calcium_pump (dimensionless)');
LEGEND_ALGEBRAIC(:,50) = strpad('K_2 in component sarcoplasmic_reticulum_calcium_pump (millimolar)');
LEGEND_CONSTANTS(:,43) = strpad('K_cyca in component sarcoplasmic_reticulum_calcium_pump (millimolar)');
LEGEND_CONSTANTS(:,44) = strpad('K_xcs in component sarcoplasmic_reticulum_calcium_pump (dimensionless)');
LEGEND_CONSTANTS(:,45) = strpad('K_srca in component sarcoplasmic_reticulum_calcium_pump (millimolar)');
LEGEND_CONSTANTS(:,46) = strpad('alpha_up in component sarcoplasmic_reticulum_calcium_pump (millimolar_per_second)');
LEGEND_CONSTANTS(:,47) = strpad('beta_up in component sarcoplasmic_reticulum_calcium_pump (millimolar_per_second)');
LEGEND_STATES(:,16) = strpad('Ca_up in component intracellular_calcium_concentration (millimolar)');
LEGEND_ALGEBRAIC(:,53) = strpad('i_trans in component calcium_translocation (millimolar_per_second)');
LEGEND_STATES(:,17) = strpad('Ca_rel in component intracellular_calcium_concentration (millimolar)');
LEGEND_ALGEBRAIC(:,54) = strpad('i_rel in component calcium_release (millimolar_per_second)');
LEGEND_ALGEBRAIC(:,9) = strpad('VoltDep in component calcium_release (dimensionless)');
LEGEND_ALGEBRAIC(:,25) = strpad('RegBindSite in component calcium_release (dimensionless)');
LEGEND_ALGEBRAIC(:,18) = strpad('CaiReg in component calcium_release (dimensionless)');
LEGEND_ALGEBRAIC(:,23) = strpad('CadsReg in component calcium_release (dimensionless)');
LEGEND_ALGEBRAIC(:,27) = strpad('ActRate in component calcium_release (per_second)');
LEGEND_ALGEBRAIC(:,29) = strpad('InactRate in component calcium_release (per_second)');
LEGEND_CONSTANTS(:,48) = strpad('K_leak_rate in component calcium_release (per_second)');
LEGEND_CONSTANTS(:,49) = strpad('K_m_rel in component calcium_release (per_second)');
LEGEND_CONSTANTS(:,50) = strpad('K_m_Ca_cyt in component calcium_release (millimolar)');
LEGEND_CONSTANTS(:,51) = strpad('K_m_Ca_ds in component calcium_release (millimolar)');
LEGEND_ALGEBRAIC(:,33) = strpad('PrecFrac in component calcium_release (dimensionless)');
LEGEND_STATES(:,18) = strpad('ActFrac in component calcium_release (dimensionless)');
LEGEND_STATES(:,19) = strpad('ProdFrac in component calcium_release (dimensionless)');
LEGEND_ALGEBRAIC(:,31) = strpad('SpeedRel in component calcium_release (dimensionless)');
LEGEND_CONSTANTS(:,72) = strpad('V_i in component intracellular_calcium_concentration (micrometre3)');
LEGEND_STATES(:,20) = strpad('Ca_Calmod in component intracellular_calcium_concentration (millimolar)');
LEGEND_STATES(:,21) = strpad('Ca_Trop in component intracellular_calcium_concentration (millimolar)');
LEGEND_CONSTANTS(:,52) = strpad('Calmod in component intracellular_calcium_concentration (millimolar)');
LEGEND_CONSTANTS(:,53) = strpad('Trop in component intracellular_calcium_concentration (millimolar)');
LEGEND_CONSTANTS(:,54) = strpad('alpha_Calmod in component intracellular_calcium_concentration (per_millimolar_second)');
LEGEND_CONSTANTS(:,55) = strpad('beta_Calmod in component intracellular_calcium_concentration (per_second)');
LEGEND_CONSTANTS(:,56) = strpad('alpha_Trop in component intracellular_calcium_concentration (per_millimolar_second)');
LEGEND_CONSTANTS(:,57) = strpad('beta_Trop in component intracellular_calcium_concentration (per_second)');
LEGEND_CONSTANTS(:,58) = strpad('radius in component intracellular_calcium_concentration (micrometre)');
LEGEND_CONSTANTS(:,59) = strpad('length in component intracellular_calcium_concentration (micrometre)');
LEGEND_CONSTANTS(:,65) = strpad('V_Cell in component intracellular_calcium_concentration (micrometre3)');
LEGEND_CONSTANTS(:,71) = strpad('V_i_ratio in component intracellular_calcium_concentration (dimensionless)');
LEGEND_CONSTANTS(:,60) = strpad('V_ds_ratio in component intracellular_calcium_concentration (dimensionless)');
LEGEND_CONSTANTS(:,61) = strpad('V_rel_ratio in component intracellular_calcium_concentration (dimensionless)');
LEGEND_CONSTANTS(:,62) = strpad('V_e_ratio in component intracellular_calcium_concentration (dimensionless)');
LEGEND_CONSTANTS(:,63) = strpad('V_up_ratio in component intracellular_calcium_concentration (dimensionless)');
LEGEND_CONSTANTS(:,64) = strpad('Kdecay in component intracellular_calcium_concentration (per_second)');
LEGEND_RATES(:,1) = strpad('d/dt V in component membrane (millivolt)');
LEGEND_RATES(:,5) = strpad('d/dt xr in component rapid_delayed_rectifier_potassium_current_xr_gate (dimensionless)');
LEGEND_RATES(:,6) = strpad('d/dt xs in component slow_delayed_rectifier_potassium_current_xs_gate (dimensionless)');
LEGEND_RATES(:,7) = strpad('d/dt m in component fast_sodium_current_m_gate (dimensionless)');
LEGEND_RATES(:,8) = strpad('d/dt h in component fast_sodium_current_h_gate (dimensionless)');
LEGEND_RATES(:,10) = strpad('d/dt d in component L_type_Ca_channel_d_gate (dimensionless)');
LEGEND_RATES(:,11) = strpad('d/dt f in component L_type_Ca_channel_f_gate (dimensionless)');
LEGEND_RATES(:,12) = strpad('d/dt f2 in component L_type_Ca_channel_f2_gate (dimensionless)');
LEGEND_RATES(:,13) = strpad('d/dt f2ds in component L_type_Ca_channel_f2ds_gate (dimensionless)');
LEGEND_RATES(:,14) = strpad('d/dt s in component transient_outward_current_s_gate (dimensionless)');
LEGEND_RATES(:,15) = strpad('d/dt r in component transient_outward_current_r_gate (dimensionless)');
LEGEND_RATES(:,18) = strpad('d/dt ActFrac in component calcium_release (dimensionless)');
LEGEND_RATES(:,19) = strpad('d/dt ProdFrac in component calcium_release (dimensionless)');
LEGEND_RATES(:,3) = strpad('d/dt Na_i in component intracellular_sodium_concentration (millimolar)');
LEGEND_RATES(:,2) = strpad('d/dt K_i in component intracellular_potassium_concentration (millimolar)');
LEGEND_RATES(:,4) = strpad('d/dt Ca_i in component intracellular_calcium_concentration (millimolar)');
LEGEND_RATES(:,20) = strpad('d/dt Ca_Calmod in component intracellular_calcium_concentration (millimolar)');
LEGEND_RATES(:,21) = strpad('d/dt Ca_Trop in component intracellular_calcium_concentration (millimolar)');
LEGEND_RATES(:,9) = strpad('d/dt Ca_ds in component intracellular_calcium_concentration (millimolar)');
LEGEND_RATES(:,16) = strpad('d/dt Ca_up in component intracellular_calcium_concentration (millimolar)');
LEGEND_RATES(:,17) = strpad('d/dt Ca_rel in component intracellular_calcium_concentration (millimolar)');
LEGEND_STATES = LEGEND_STATES';
LEGEND_ALGEBRAIC = LEGEND_ALGEBRAIC';
LEGEND_RATES = LEGEND_RATES';
LEGEND_CONSTANTS = LEGEND_CONSTANTS';
end
function [STATES, CONSTANTS] = initConsts()
VOI = 0; CONSTANTS = []; STATES = []; ALGEBRAIC = [];
STATES(:,1) = -89.1374183;
CONSTANTS(:,1) = 8314.472;
CONSTANTS(:,2) = 310;
CONSTANTS(:,3) = 96485.3415;
CONSTANTS(:,4) = 0.000121;
CONSTANTS(:,5) = 0.1;
CONSTANTS(:,6) = 9;
CONSTANTS(:,7) = 1;
CONSTANTS(:,8) = 0.003;
CONSTANTS(:,9) = -2;
CONSTANTS(:,10) = 0.03;
CONSTANTS(:,11) = 4;
CONSTANTS(:,12) = 140;
STATES(:,2) = 138.7963753;
STATES(:,3) = 5.6633707;
CONSTANTS(:,13) = 2;
STATES(:,4) = 5.44e-5;
CONSTANTS(:,14) = 10;
CONSTANTS(:,15) = 0.2;
STATES(:,5) = 1.98e-5;
STATES(:,6) = 0.0381477;
CONSTANTS(:,16) = 1075;
CONSTANTS(:,17) = 20;
STATES(:,7) = 0.0026891;
STATES(:,8) = 0.9873107;
CONSTANTS(:,18) = 3.98e-5;
CONSTANTS(:,19) = 1e-5;
CONSTANTS(:,20) = 0.005;
CONSTANTS(:,21) = 0.0006;
CONSTANTS(:,22) = 0.11;
CONSTANTS(:,23) = 0.002;
CONSTANTS(:,24) = 0.01;
STATES(:,9) = 0.0018991;
STATES(:,10) = 1.44e-4;
STATES(:,11) = 0.9999993;
STATES(:,12) = 0.254433;
STATES(:,13) = 0.9292189;
CONSTANTS(:,25) = 100000;
CONSTANTS(:,26) = 0.001;
CONSTANTS(:,27) = 20;
CONSTANTS(:,28) = 1;
CONSTANTS(:,29) = 3;
CONSTANTS(:,30) = 0.3;
CONSTANTS(:,31) = 0.0001;
CONSTANTS(:,32) = 0.00025;
CONSTANTS(:,33) = 0.005;
CONSTANTS(:,34) = 0;
STATES(:,14) = 0.7352365;
STATES(:,15) = 0;
CONSTANTS(:,35) = 0.7;
CONSTANTS(:,36) = 1;
CONSTANTS(:,37) = 40;
CONSTANTS(:,38) = 0.00012;
CONSTANTS(:,39) = 3;
CONSTANTS(:,40) = 0;
CONSTANTS(:,41) = 0.5;
CONSTANTS(:,42) = 0.001;
CONSTANTS(:,43) = 0.0003;
CONSTANTS(:,44) = 0.4;
CONSTANTS(:,45) = 0.5;
CONSTANTS(:,46) = 0.4;
CONSTANTS(:,47) = 0.03;
STATES(:,16) = 0.7625025;
STATES(:,17) = 0.7368094;
CONSTANTS(:,48) = 0.05;
CONSTANTS(:,49) = 250;
CONSTANTS(:,50) = 0.0005;
CONSTANTS(:,51) = 0.01;
STATES(:,18) = 0.0101647;
STATES(:,19) = 0.9584464;
STATES(:,20) = 0.0018544;
STATES(:,21) = 0.0012852;
CONSTANTS(:,52) = 0.02;
CONSTANTS(:,53) = 0.05;
CONSTANTS(:,54) = 100000;
CONSTANTS(:,55) = 50;
CONSTANTS(:,56) = 100000;
CONSTANTS(:,57) = 200;
CONSTANTS(:,58) = 12;
CONSTANTS(:,59) = 74;
CONSTANTS(:,60) = 0.1;
CONSTANTS(:,61) = 0.1;
CONSTANTS(:,62) = 0.4;
CONSTANTS(:,63) = 0.01;
CONSTANTS(:,64) = 10;
CONSTANTS(:,65) = ( 3.14159.*power(CONSTANTS(:,58)./1000.00, 2.00000).*CONSTANTS(:,59))./1000.00;
CONSTANTS(:,66) = CONSTANTS(:,4).*7.70000.*power((CONSTANTS(:,11)./5.40000), 1.0 ./ 2);
CONSTANTS(:,67) = CONSTANTS(:,4).*26.6000;
CONSTANTS(:,68) = ( CONSTANTS(:,16).*CONSTANTS(:,4).*CONSTANTS(:,17).*(1.26000./(1.00000+CONSTANTS(:,18)./( 1000.00.*2.51190e-06))+0.340000))./1.58000;
CONSTANTS(:,69) = 32.7000./(1.00000+(CONSTANTS(:,18)./1000.00)./2.51190e-06) - 32.1800;
CONSTANTS(:,70) = ( CONSTANTS(:,43).*CONSTANTS(:,44))./CONSTANTS(:,45);
CONSTANTS(:,71) = ((1.00000 - CONSTANTS(:,62)) - CONSTANTS(:,63)) - CONSTANTS(:,61);
CONSTANTS(:,72) = CONSTANTS(:,65).*CONSTANTS(:,71);
if (isempty(STATES)), warning('Initial values for states not set');, end
end
function [RATES, ALGEBRAIC] = computeRates(VOI, STATES, CONSTANTS)
global algebraicVariableCount;
statesSize = size(STATES);
statesColumnCount = statesSize(2);
if ( statesColumnCount == 1)
STATES = STATES';
ALGEBRAIC = zeros(1, algebraicVariableCount);
utilOnes = 1;
else
statesRowCount = statesSize(1);
ALGEBRAIC = zeros(statesRowCount, algebraicVariableCount);
RATES = zeros(statesRowCount, statesColumnCount);
utilOnes = ones(statesRowCount, 1);
end
RATES(:,12) = 1.00000 - 1.00000.*(STATES(:,4)./(CONSTANTS(:,25)+STATES(:,4))+STATES(:,12));
RATES(:,13) = CONSTANTS(:,27).*(1.00000 - (STATES(:,9)./(CONSTANTS(:,26)+STATES(:,9))+STATES(:,13)));
RATES(:,15) = 333.000.*(1.00000./(1.00000+exp( - (STATES(:,1)+4.00000)./5.00000)) - STATES(:,15));
ALGEBRAIC(:,1) = 1.00000./(1.00000+exp( - (STATES(:,1)+21.5000)./7.50000));
ALGEBRAIC(:,10) = 0.00100000./(( 0.00138000.*(STATES(:,1)+14.2000))./(1.00000 - exp( - 0.123000.*(STATES(:,1)+14.2000)))+( 0.000610000.*(STATES(:,1)+38.9000))./(exp( 0.145000.*(STATES(:,1)+38.9000)) - 1.00000));
RATES(:,5) = (ALGEBRAIC(:,1) - STATES(:,5))./ALGEBRAIC(:,10);
ALGEBRAIC(:,2) = 1.00000./(1.00000+exp( - (STATES(:,1) - 1.50000)./16.7000));
ALGEBRAIC(:,11) = 0.00100000./(( 7.19000e-05.*(STATES(:,1)+30.0000))./(1.00000 - exp( - 0.148000.*(STATES(:,1)+30.0000)))+( 0.000131000.*(STATES(:,1)+30.0000))./(exp( 0.0687000.*(STATES(:,1)+30.0000)) - 1.00000));
RATES(:,6) = (ALGEBRAIC(:,2) - STATES(:,6))./ALGEBRAIC(:,11);
ALGEBRAIC(:,4) = 20.0000.*exp( - 0.125000.*((STATES(:,1)+75.0000) - CONSTANTS(:,69)));
ALGEBRAIC(:,13) = 2000.00./(1.00000+ 320.000.*exp( - 0.100000.*((STATES(:,1)+75.0000) - CONSTANTS(:,69))));
RATES(:,8) = ALGEBRAIC(:,4).*(1.00000 - STATES(:,8)) - ALGEBRAIC(:,13).*STATES(:,8);
ALGEBRAIC(:,7) = 0.0330000.*exp( - STATES(:,1)./17.0000);
ALGEBRAIC(:,16) = 33.0000./(1.00000+exp( - 0.125000.*(STATES(:,1)+10.0000)));
RATES(:,14) = ALGEBRAIC(:,7).*(1.00000 - STATES(:,14)) - ALGEBRAIC(:,16).*STATES(:,14);
ALGEBRAIC(:,3) = STATES(:,1)+41.0000;
ALGEBRAIC(:,12) = piecewise({abs(ALGEBRAIC(:,3))<CONSTANTS(:,19), 2000.00 }, ( 200.000.*ALGEBRAIC(:,3))./(1.00000 - exp( - 0.100000.*ALGEBRAIC(:,3))));
ALGEBRAIC(:,19) = 8000.00.*exp( - 0.0560000.*(STATES(:,1)+66.0000));
RATES(:,7) = ALGEBRAIC(:,12).*(1.00000 - STATES(:,7)) - ALGEBRAIC(:,19).*STATES(:,7);
ALGEBRAIC(:,5) = (STATES(:,1)+24.0000) - 5.00000;
ALGEBRAIC(:,14) = piecewise({abs(ALGEBRAIC(:,5))<0.000100000, 120.000 }, ( 30.0000.*ALGEBRAIC(:,5))./(1.00000 - exp( - ALGEBRAIC(:,5)./7.20000)));
ALGEBRAIC(:,20) = piecewise({abs(ALGEBRAIC(:,5))<0.000100000, 120.000 }, ( 12.0000.*ALGEBRAIC(:,5))./(exp(ALGEBRAIC(:,5)./( 2.50000.*7.20000)) - 1.00000));
RATES(:,10) = CONSTANTS(:,29).*( ALGEBRAIC(:,14).*(1.00000 - STATES(:,10)) - ALGEBRAIC(:,20).*STATES(:,10));
ALGEBRAIC(:,6) = STATES(:,1)+34.0000;
ALGEBRAIC(:,15) = piecewise({abs(ALGEBRAIC(:,6))<CONSTANTS(:,31), 25.0000 }, ( 6.25000.*ALGEBRAIC(:,6))./(exp(ALGEBRAIC(:,6)./5.10000) - 1.00000));
ALGEBRAIC(:,21) = 12.0000./(1.00000+exp(( - 1.00000.*(STATES(:,1)+34.0000))./5.10000));
RATES(:,11) = CONSTANTS(:,30).*( ALGEBRAIC(:,15).*(1.00000 - STATES(:,11)) - ALGEBRAIC(:,21).*STATES(:,11));
ALGEBRAIC(:,18) = STATES(:,4)./(STATES(:,4)+CONSTANTS(:,50));
ALGEBRAIC(:,23) = STATES(:,9)./(STATES(:,9)+CONSTANTS(:,51));
ALGEBRAIC(:,25) = ALGEBRAIC(:,18)+ (1.00000 - ALGEBRAIC(:,18)).*ALGEBRAIC(:,23);
ALGEBRAIC(:,29) = 60.0000+ 500.000.*power(ALGEBRAIC(:,25), 2.00000);
ALGEBRAIC(:,31) = piecewise({STATES(:,1)< - 50.0000, 5.00000 }, 1.00000);
RATES(:,19) = STATES(:,18).*ALGEBRAIC(:,31).*ALGEBRAIC(:,29) - ALGEBRAIC(:,31).*1.00000.*STATES(:,19);
ALGEBRAIC(:,9) = exp( 0.0800000.*(STATES(:,1) - 40.0000));
ALGEBRAIC(:,27) = 0.00000.*ALGEBRAIC(:,9)+ 500.000.*power(ALGEBRAIC(:,25), 2.00000);
ALGEBRAIC(:,33) = (1.00000 - STATES(:,18)) - STATES(:,19);
RATES(:,18) = ALGEBRAIC(:,33).*ALGEBRAIC(:,31).*ALGEBRAIC(:,27) - STATES(:,18).*ALGEBRAIC(:,31).*ALGEBRAIC(:,29);
ALGEBRAIC(:,41) = ((( CONSTANTS(:,28).*4.00000.*CONSTANTS(:,22).*STATES(:,10).*STATES(:,11).*STATES(:,13).*(STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))./(1.00000 - exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3).*2.00000)./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*( STATES(:,4).*exp(( 100.000.*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,13).*exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3).*2.00000)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
RATES(:,9) = ( - 1.00000.*ALGEBRAIC(:,41))./( 2.00000.*1.00000.*CONSTANTS(:,60).*CONSTANTS(:,72).*CONSTANTS(:,3)) - STATES(:,9).*CONSTANTS(:,64);
ALGEBRAIC(:,22) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,11)./STATES(:,2));
ALGEBRAIC(:,30) = ( (( CONSTANTS(:,15).*CONSTANTS(:,11))./(CONSTANTS(:,11)+CONSTANTS(:,14))).*(STATES(:,1) - ALGEBRAIC(:,22)))./(1.00000+exp(( ((STATES(:,1) - ALGEBRAIC(:,22)) - 10.0000).*CONSTANTS(:,3).*1.50000)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,46) = CONSTANTS(:,33).*(CONSTANTS(:,34)+ STATES(:,14).*(1.00000 - CONSTANTS(:,34))).*STATES(:,15).*(STATES(:,1) - ALGEBRAIC(:,22));
ALGEBRAIC(:,32) = (( CONSTANTS(:,66).*STATES(:,5).*1.00000)./(1.00000+exp((STATES(:,1)+9.00000)./22.4000))).*(STATES(:,1) - ALGEBRAIC(:,22));
ALGEBRAIC(:,24) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log((CONSTANTS(:,11)+ CONSTANTS(:,10).*CONSTANTS(:,12))./(STATES(:,2)+ CONSTANTS(:,10).*STATES(:,3)));
ALGEBRAIC(:,34) = CONSTANTS(:,67).*power(STATES(:,6), 2.00000).*(STATES(:,1) - ALGEBRAIC(:,24));
ALGEBRAIC(:,39) = ((( (1.00000 - CONSTANTS(:,28)).*CONSTANTS(:,23).*CONSTANTS(:,22).*STATES(:,10).*STATES(:,11).*STATES(:,12).*(STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))./(1.00000 - exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*( STATES(:,2).*exp(( 50.0000.*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,11).*exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,42) = ((( CONSTANTS(:,28).*CONSTANTS(:,23).*CONSTANTS(:,22).*STATES(:,10).*STATES(:,11).*STATES(:,13).*(STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))./(1.00000 - exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*( STATES(:,2).*exp(( 50.0000.*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,11).*exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,47) = ( (( CONSTANTS(:,35).*CONSTANTS(:,11))./(CONSTANTS(:,36)+CONSTANTS(:,11))).*STATES(:,3))./(CONSTANTS(:,37)+STATES(:,3));
RATES(:,2) = ( - 1.00000./( 1.00000.*CONSTANTS(:,72).*CONSTANTS(:,3))).*((ALGEBRAIC(:,30)+ALGEBRAIC(:,32)+ALGEBRAIC(:,34)+ALGEBRAIC(:,39)+ALGEBRAIC(:,42)+ALGEBRAIC(:,46)) - 2.00000.*ALGEBRAIC(:,47));
ALGEBRAIC(:,28) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log((CONSTANTS(:,12)+ 0.120000.*CONSTANTS(:,11))./(STATES(:,3)+ 0.120000.*STATES(:,2)));
ALGEBRAIC(:,35) = CONSTANTS(:,68).*power(STATES(:,7), 3.00000).*STATES(:,8).*(STATES(:,1) - ALGEBRAIC(:,28));
ALGEBRAIC(:,17) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,12)./STATES(:,3));
ALGEBRAIC(:,37) = CONSTANTS(:,21).*(STATES(:,1) - ALGEBRAIC(:,17));
ALGEBRAIC(:,36) = (( CONSTANTS(:,4).*1.00000e+06.*CONSTANTS(:,20).*(STATES(:,1) - 51.5397))./(1.00000+exp( - (STATES(:,1)+58.0111)./7.03320)))./1000.00;
ALGEBRAIC(:,40) = ((( (1.00000 - CONSTANTS(:,28)).*CONSTANTS(:,24).*CONSTANTS(:,22).*STATES(:,10).*STATES(:,11).*STATES(:,12).*(STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))./(1.00000 - exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*( STATES(:,3).*exp(( 50.0000.*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,12).*exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,43) = ((( CONSTANTS(:,28).*CONSTANTS(:,24).*CONSTANTS(:,22).*STATES(:,10).*STATES(:,11).*STATES(:,13).*(STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))./(1.00000 - exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*( STATES(:,3).*exp(( 50.0000.*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,12).*exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,48) = ( (1.00000 - CONSTANTS(:,42)).*CONSTANTS(:,38).*( exp(( CONSTANTS(:,41).*(CONSTANTS(:,39) - 2.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(STATES(:,3), CONSTANTS(:,39)).*CONSTANTS(:,13) - exp(( (CONSTANTS(:,41) - 1.00000).*(CONSTANTS(:,39) - 2.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(CONSTANTS(:,12), CONSTANTS(:,39)).*STATES(:,4)))./( (1.00000+ CONSTANTS(:,40).*( STATES(:,4).*power(CONSTANTS(:,12), CONSTANTS(:,39))+ CONSTANTS(:,13).*power(STATES(:,3), CONSTANTS(:,39)))).*(1.00000+STATES(:,4)./0.00690000));
RATES(:,3) = ( - 1.00000./( 1.00000.*CONSTANTS(:,72).*CONSTANTS(:,3))).*(ALGEBRAIC(:,35)+ALGEBRAIC(:,36)+ALGEBRAIC(:,37)+ 3.00000.*ALGEBRAIC(:,47)+ 3.00000.*ALGEBRAIC(:,48)+ALGEBRAIC(:,40)+ALGEBRAIC(:,43));
ALGEBRAIC(:,49) = ( CONSTANTS(:,42).*CONSTANTS(:,38).*( exp(( CONSTANTS(:,41).*(CONSTANTS(:,39) - 2.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(STATES(:,3), CONSTANTS(:,39)).*CONSTANTS(:,13) - exp(( (CONSTANTS(:,41) - 1.00000).*(CONSTANTS(:,39) - 2.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(CONSTANTS(:,12), CONSTANTS(:,39)).*STATES(:,9)))./( (1.00000+ CONSTANTS(:,40).*( STATES(:,9).*power(CONSTANTS(:,12), CONSTANTS(:,39))+ CONSTANTS(:,13).*power(STATES(:,3), CONSTANTS(:,39)))).*(1.00000+STATES(:,9)./0.00690000));
ALGEBRAIC(:,38) = ((( (1.00000 - CONSTANTS(:,28)).*4.00000.*CONSTANTS(:,22).*STATES(:,10).*STATES(:,11).*STATES(:,12).*(STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))./(1.00000 - exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3).*2.00000)./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*( STATES(:,4).*exp(( 100.000.*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,13).*exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3).*2.00000)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,26) = (( 0.500000.*CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,13)./STATES(:,4));
ALGEBRAIC(:,45) = CONSTANTS(:,32).*(STATES(:,1) - ALGEBRAIC(:,26));
ALGEBRAIC(:,8) = piecewise({VOI>=CONSTANTS(:,5)&VOI<=CONSTANTS(:,6)&(VOI - CONSTANTS(:,5)) - floor((VOI - CONSTANTS(:,5))./CONSTANTS(:,7)).*CONSTANTS(:,7)<=CONSTANTS(:,8), CONSTANTS(:,9) }, 0.00000);
RATES(:,1) = ( - 1.00000./CONSTANTS(:,4)).*(ALGEBRAIC(:,8)+ALGEBRAIC(:,30)+ALGEBRAIC(:,46)+ALGEBRAIC(:,32)+ALGEBRAIC(:,34)+ALGEBRAIC(:,47)+ALGEBRAIC(:,35)+ALGEBRAIC(:,37)+ALGEBRAIC(:,36)+ALGEBRAIC(:,40)+ALGEBRAIC(:,43)+ALGEBRAIC(:,48)+ALGEBRAIC(:,49)+ALGEBRAIC(:,38)+ALGEBRAIC(:,41)+ALGEBRAIC(:,39)+ALGEBRAIC(:,42)+ALGEBRAIC(:,45));
ALGEBRAIC(:,50) = STATES(:,4)+ STATES(:,16).*CONSTANTS(:,70)+ CONSTANTS(:,43).*CONSTANTS(:,44)+CONSTANTS(:,43);
ALGEBRAIC(:,52) = (STATES(:,4)./ALGEBRAIC(:,50)).*CONSTANTS(:,46) - (( STATES(:,16).*CONSTANTS(:,70))./ALGEBRAIC(:,50)).*CONSTANTS(:,47);
ALGEBRAIC(:,53) = 50.0000.*(STATES(:,16) - STATES(:,17));
RATES(:,16) = (CONSTANTS(:,71)./CONSTANTS(:,63)).*ALGEBRAIC(:,52) - ALGEBRAIC(:,53);
RATES(:,20) = CONSTANTS(:,54).*STATES(:,4).*(CONSTANTS(:,52) - STATES(:,20)) - CONSTANTS(:,55).*STATES(:,20);
ALGEBRAIC(:,54) = ( power(STATES(:,18)./(STATES(:,18)+0.250000), 2.00000).*CONSTANTS(:,49)+CONSTANTS(:,48)).*STATES(:,17);
RATES(:,17) = (CONSTANTS(:,63)./CONSTANTS(:,61)).*ALGEBRAIC(:,53) - ALGEBRAIC(:,54);
RATES(:,21) = CONSTANTS(:,56).*STATES(:,4).*(CONSTANTS(:,53) - STATES(:,21)) - CONSTANTS(:,57).*STATES(:,21);
RATES(:,4) = ((( ( - 1.00000./( 2.00000.*1.00000.*CONSTANTS(:,72).*CONSTANTS(:,3))).*((ALGEBRAIC(:,38)+ALGEBRAIC(:,45)) - 2.00000.*ALGEBRAIC(:,48))+ STATES(:,9).*CONSTANTS(:,60).*CONSTANTS(:,64)+( ALGEBRAIC(:,54).*CONSTANTS(:,61))./CONSTANTS(:,71)) - RATES(:,20)) - RATES(:,21)) - ALGEBRAIC(:,52);
RATES = RATES';
end
% Calculate algebraic variables
function ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, VOI)
statesSize = size(STATES);
statesColumnCount = statesSize(2);
if ( statesColumnCount == 1)
STATES = STATES';
utilOnes = 1;
else
statesRowCount = statesSize(1);
utilOnes = ones(statesRowCount, 1);
end
ALGEBRAIC(:,1) = 1.00000./(1.00000+exp( - (STATES(:,1)+21.5000)./7.50000));
ALGEBRAIC(:,10) = 0.00100000./(( 0.00138000.*(STATES(:,1)+14.2000))./(1.00000 - exp( - 0.123000.*(STATES(:,1)+14.2000)))+( 0.000610000.*(STATES(:,1)+38.9000))./(exp( 0.145000.*(STATES(:,1)+38.9000)) - 1.00000));
ALGEBRAIC(:,2) = 1.00000./(1.00000+exp( - (STATES(:,1) - 1.50000)./16.7000));
ALGEBRAIC(:,11) = 0.00100000./(( 7.19000e-05.*(STATES(:,1)+30.0000))./(1.00000 - exp( - 0.148000.*(STATES(:,1)+30.0000)))+( 0.000131000.*(STATES(:,1)+30.0000))./(exp( 0.0687000.*(STATES(:,1)+30.0000)) - 1.00000));
ALGEBRAIC(:,4) = 20.0000.*exp( - 0.125000.*((STATES(:,1)+75.0000) - CONSTANTS(:,69)));
ALGEBRAIC(:,13) = 2000.00./(1.00000+ 320.000.*exp( - 0.100000.*((STATES(:,1)+75.0000) - CONSTANTS(:,69))));
ALGEBRAIC(:,7) = 0.0330000.*exp( - STATES(:,1)./17.0000);
ALGEBRAIC(:,16) = 33.0000./(1.00000+exp( - 0.125000.*(STATES(:,1)+10.0000)));
ALGEBRAIC(:,3) = STATES(:,1)+41.0000;
ALGEBRAIC(:,12) = piecewise({abs(ALGEBRAIC(:,3))<CONSTANTS(:,19), 2000.00 }, ( 200.000.*ALGEBRAIC(:,3))./(1.00000 - exp( - 0.100000.*ALGEBRAIC(:,3))));
ALGEBRAIC(:,19) = 8000.00.*exp( - 0.0560000.*(STATES(:,1)+66.0000));
ALGEBRAIC(:,5) = (STATES(:,1)+24.0000) - 5.00000;
ALGEBRAIC(:,14) = piecewise({abs(ALGEBRAIC(:,5))<0.000100000, 120.000 }, ( 30.0000.*ALGEBRAIC(:,5))./(1.00000 - exp( - ALGEBRAIC(:,5)./7.20000)));
ALGEBRAIC(:,20) = piecewise({abs(ALGEBRAIC(:,5))<0.000100000, 120.000 }, ( 12.0000.*ALGEBRAIC(:,5))./(exp(ALGEBRAIC(:,5)./( 2.50000.*7.20000)) - 1.00000));
ALGEBRAIC(:,6) = STATES(:,1)+34.0000;
ALGEBRAIC(:,15) = piecewise({abs(ALGEBRAIC(:,6))<CONSTANTS(:,31), 25.0000 }, ( 6.25000.*ALGEBRAIC(:,6))./(exp(ALGEBRAIC(:,6)./5.10000) - 1.00000));
ALGEBRAIC(:,21) = 12.0000./(1.00000+exp(( - 1.00000.*(STATES(:,1)+34.0000))./5.10000));
ALGEBRAIC(:,18) = STATES(:,4)./(STATES(:,4)+CONSTANTS(:,50));
ALGEBRAIC(:,23) = STATES(:,9)./(STATES(:,9)+CONSTANTS(:,51));
ALGEBRAIC(:,25) = ALGEBRAIC(:,18)+ (1.00000 - ALGEBRAIC(:,18)).*ALGEBRAIC(:,23);
ALGEBRAIC(:,29) = 60.0000+ 500.000.*power(ALGEBRAIC(:,25), 2.00000);
ALGEBRAIC(:,31) = piecewise({STATES(:,1)< - 50.0000, 5.00000 }, 1.00000);
ALGEBRAIC(:,9) = exp( 0.0800000.*(STATES(:,1) - 40.0000));
ALGEBRAIC(:,27) = 0.00000.*ALGEBRAIC(:,9)+ 500.000.*power(ALGEBRAIC(:,25), 2.00000);
ALGEBRAIC(:,33) = (1.00000 - STATES(:,18)) - STATES(:,19);
ALGEBRAIC(:,41) = ((( CONSTANTS(:,28).*4.00000.*CONSTANTS(:,22).*STATES(:,10).*STATES(:,11).*STATES(:,13).*(STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))./(1.00000 - exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3).*2.00000)./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*( STATES(:,4).*exp(( 100.000.*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,13).*exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3).*2.00000)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,22) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,11)./STATES(:,2));
ALGEBRAIC(:,30) = ( (( CONSTANTS(:,15).*CONSTANTS(:,11))./(CONSTANTS(:,11)+CONSTANTS(:,14))).*(STATES(:,1) - ALGEBRAIC(:,22)))./(1.00000+exp(( ((STATES(:,1) - ALGEBRAIC(:,22)) - 10.0000).*CONSTANTS(:,3).*1.50000)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,46) = CONSTANTS(:,33).*(CONSTANTS(:,34)+ STATES(:,14).*(1.00000 - CONSTANTS(:,34))).*STATES(:,15).*(STATES(:,1) - ALGEBRAIC(:,22));
ALGEBRAIC(:,32) = (( CONSTANTS(:,66).*STATES(:,5).*1.00000)./(1.00000+exp((STATES(:,1)+9.00000)./22.4000))).*(STATES(:,1) - ALGEBRAIC(:,22));
ALGEBRAIC(:,24) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log((CONSTANTS(:,11)+ CONSTANTS(:,10).*CONSTANTS(:,12))./(STATES(:,2)+ CONSTANTS(:,10).*STATES(:,3)));
ALGEBRAIC(:,34) = CONSTANTS(:,67).*power(STATES(:,6), 2.00000).*(STATES(:,1) - ALGEBRAIC(:,24));
ALGEBRAIC(:,39) = ((( (1.00000 - CONSTANTS(:,28)).*CONSTANTS(:,23).*CONSTANTS(:,22).*STATES(:,10).*STATES(:,11).*STATES(:,12).*(STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))./(1.00000 - exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*( STATES(:,2).*exp(( 50.0000.*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,11).*exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,42) = ((( CONSTANTS(:,28).*CONSTANTS(:,23).*CONSTANTS(:,22).*STATES(:,10).*STATES(:,11).*STATES(:,13).*(STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))./(1.00000 - exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*( STATES(:,2).*exp(( 50.0000.*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,11).*exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,47) = ( (( CONSTANTS(:,35).*CONSTANTS(:,11))./(CONSTANTS(:,36)+CONSTANTS(:,11))).*STATES(:,3))./(CONSTANTS(:,37)+STATES(:,3));
ALGEBRAIC(:,28) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log((CONSTANTS(:,12)+ 0.120000.*CONSTANTS(:,11))./(STATES(:,3)+ 0.120000.*STATES(:,2)));
ALGEBRAIC(:,35) = CONSTANTS(:,68).*power(STATES(:,7), 3.00000).*STATES(:,8).*(STATES(:,1) - ALGEBRAIC(:,28));
ALGEBRAIC(:,17) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,12)./STATES(:,3));
ALGEBRAIC(:,37) = CONSTANTS(:,21).*(STATES(:,1) - ALGEBRAIC(:,17));
ALGEBRAIC(:,36) = (( CONSTANTS(:,4).*1.00000e+06.*CONSTANTS(:,20).*(STATES(:,1) - 51.5397))./(1.00000+exp( - (STATES(:,1)+58.0111)./7.03320)))./1000.00;
ALGEBRAIC(:,40) = ((( (1.00000 - CONSTANTS(:,28)).*CONSTANTS(:,24).*CONSTANTS(:,22).*STATES(:,10).*STATES(:,11).*STATES(:,12).*(STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))./(1.00000 - exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*( STATES(:,3).*exp(( 50.0000.*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,12).*exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,43) = ((( CONSTANTS(:,28).*CONSTANTS(:,24).*CONSTANTS(:,22).*STATES(:,10).*STATES(:,11).*STATES(:,13).*(STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))./(1.00000 - exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*( STATES(:,3).*exp(( 50.0000.*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,12).*exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,48) = ( (1.00000 - CONSTANTS(:,42)).*CONSTANTS(:,38).*( exp(( CONSTANTS(:,41).*(CONSTANTS(:,39) - 2.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(STATES(:,3), CONSTANTS(:,39)).*CONSTANTS(:,13) - exp(( (CONSTANTS(:,41) - 1.00000).*(CONSTANTS(:,39) - 2.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(CONSTANTS(:,12), CONSTANTS(:,39)).*STATES(:,4)))./( (1.00000+ CONSTANTS(:,40).*( STATES(:,4).*power(CONSTANTS(:,12), CONSTANTS(:,39))+ CONSTANTS(:,13).*power(STATES(:,3), CONSTANTS(:,39)))).*(1.00000+STATES(:,4)./0.00690000));
ALGEBRAIC(:,49) = ( CONSTANTS(:,42).*CONSTANTS(:,38).*( exp(( CONSTANTS(:,41).*(CONSTANTS(:,39) - 2.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(STATES(:,3), CONSTANTS(:,39)).*CONSTANTS(:,13) - exp(( (CONSTANTS(:,41) - 1.00000).*(CONSTANTS(:,39) - 2.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(CONSTANTS(:,12), CONSTANTS(:,39)).*STATES(:,9)))./( (1.00000+ CONSTANTS(:,40).*( STATES(:,9).*power(CONSTANTS(:,12), CONSTANTS(:,39))+ CONSTANTS(:,13).*power(STATES(:,3), CONSTANTS(:,39)))).*(1.00000+STATES(:,9)./0.00690000));
ALGEBRAIC(:,38) = ((( (1.00000 - CONSTANTS(:,28)).*4.00000.*CONSTANTS(:,22).*STATES(:,10).*STATES(:,11).*STATES(:,12).*(STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))./(1.00000 - exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3).*2.00000)./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*( STATES(:,4).*exp(( 100.000.*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,13).*exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3).*2.00000)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,26) = (( 0.500000.*CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,13)./STATES(:,4));
ALGEBRAIC(:,45) = CONSTANTS(:,32).*(STATES(:,1) - ALGEBRAIC(:,26));
ALGEBRAIC(:,8) = 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(:,50) = STATES(:,4)+ STATES(:,16).*CONSTANTS(:,70)+ CONSTANTS(:,43).*CONSTANTS(:,44)+CONSTANTS(:,43);
ALGEBRAIC(:,52) = (STATES(:,4)./ALGEBRAIC(:,50)).*CONSTANTS(:,46) - (( STATES(:,16).*CONSTANTS(:,70))./ALGEBRAIC(:,50)).*CONSTANTS(:,47);
ALGEBRAIC(:,53) = 50.0000.*(STATES(:,16) - STATES(:,17));
ALGEBRAIC(:,54) = ( power(STATES(:,18)./(STATES(:,18)+0.250000), 2.00000).*CONSTANTS(:,49)+CONSTANTS(:,48)).*STATES(:,17);
ALGEBRAIC(:,44) = ALGEBRAIC(:,38)+ALGEBRAIC(:,39)+ALGEBRAIC(:,40)+ALGEBRAIC(:,41)+ALGEBRAIC(:,42)+ALGEBRAIC(:,43);
ALGEBRAIC(:,51) = ALGEBRAIC(:,48)+ALGEBRAIC(:,49);
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