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 =60;
end
% There are a total of 20 entries in each of the rate and state variable arrays.
% There are a total of 69 entries in the constant variable array.
%
function [VOI, STATES, ALGEBRAIC, CONSTANTS] = solveModel()
% Create ALGEBRAIC of correct size
global algebraicVariableCount; algebraicVariableCount = getAlgebraicVariableCount();
% Initialise constants and state variables
[INIT_STATES, CONSTANTS] = initConsts;
% Set timespan to solve over
tspan = [0, 10];
% Set numerical accuracy options for ODE solver
options = odeset('RelTol', 1e-06, 'AbsTol', 1e-06, 'MaxStep', 1);
% Solve model with ODE solver
[VOI, STATES] = ode15s(@(VOI, STATES)computeRates(VOI, STATES, CONSTANTS), tspan, INIT_STATES, options);
% Compute algebraic variables
[RATES, ALGEBRAIC] = computeRates(VOI, STATES, CONSTANTS);
ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, VOI);
% Plot state variables against variable of integration
[LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends();
figure();
plot(VOI, STATES);
xlabel(LEGEND_VOI);
l = legend(LEGEND_STATES);
set(l,'Interpreter','none');
end
function [LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends()
LEGEND_STATES = ''; LEGEND_ALGEBRAIC = ''; LEGEND_VOI = ''; LEGEND_CONSTANTS = '';
LEGEND_VOI = strpad('time in component environment (second)');
LEGEND_STATES(:,1) = strpad('V in component membrane (millivolt)');
LEGEND_CONSTANTS(:,1) = strpad('R in component membrane (joule_per_kilomole_kelvin)');
LEGEND_CONSTANTS(:,2) = strpad('T in component membrane (kelvin)');
LEGEND_CONSTANTS(:,3) = strpad('F in component membrane (coulomb_per_mole)');
LEGEND_CONSTANTS(:,4) = strpad('Cm in component membrane (microF)');
LEGEND_ALGEBRAIC(:,29) = strpad('i_K1 in component time_independent_potassium_current (nanoA)');
LEGEND_ALGEBRAIC(:,52) = strpad('i_to in component transient_outward_current (nanoA)');
LEGEND_ALGEBRAIC(:,31) = strpad('i_Kr in component rapid_delayed_rectifier_potassium_current (nanoA)');
LEGEND_ALGEBRAIC(:,33) = strpad('i_Ks in component slow_delayed_rectifier_potassium_current (nanoA)');
LEGEND_ALGEBRAIC(:,43) = strpad('i_Ca_L_K_cyt in component L_type_Ca_channel (nanoA)');
LEGEND_ALGEBRAIC(:,48) = strpad('i_Ca_L_K_ds in component L_type_Ca_channel (nanoA)');
LEGEND_ALGEBRAIC(:,53) = strpad('i_NaK in component sodium_potassium_pump (nanoA)');
LEGEND_ALGEBRAIC(:,34) = strpad('i_Na in component fast_sodium_current (nanoA)');
LEGEND_ALGEBRAIC(:,36) = strpad('i_b_Na in component sodium_background_current (nanoA)');
LEGEND_ALGEBRAIC(:,35) = strpad('i_p_Na in component persistent_sodium_current (nanoA)');
LEGEND_ALGEBRAIC(:,44) = strpad('i_Ca_L_Na_cyt in component L_type_Ca_channel (nanoA)');
LEGEND_ALGEBRAIC(:,49) = strpad('i_Ca_L_Na_ds in component L_type_Ca_channel (nanoA)');
LEGEND_ALGEBRAIC(:,54) = strpad('i_NaCa_cyt in component sodium_calcium_exchanger (nanoA)');
LEGEND_ALGEBRAIC(:,55) = strpad('i_NaCa_ds in component sodium_calcium_exchanger (nanoA)');
LEGEND_ALGEBRAIC(:,42) = strpad('i_Ca_L_Ca_cyt in component L_type_Ca_channel (nanoA)');
LEGEND_ALGEBRAIC(:,47) = strpad('i_Ca_L_Ca_ds in component L_type_Ca_channel (nanoA)');
LEGEND_ALGEBRAIC(:,51) = strpad('i_b_Ca in component calcium_background_current (nanoA)');
LEGEND_ALGEBRAIC(:,7) = strpad('i_Stim in component membrane (nanoA)');
LEGEND_CONSTANTS(:,5) = strpad('stim_start in component membrane (second)');
LEGEND_CONSTANTS(:,6) = strpad('stim_end in component membrane (second)');
LEGEND_CONSTANTS(:,7) = strpad('stim_period in component membrane (second)');
LEGEND_CONSTANTS(:,8) = strpad('stim_duration in component membrane (second)');
LEGEND_CONSTANTS(:,9) = strpad('stim_amplitude in component membrane (nanoA)');
LEGEND_ALGEBRAIC(:,16) = strpad('E_Na in component reversal_potentials (millivolt)');
LEGEND_ALGEBRAIC(:,21) = strpad('E_K in component reversal_potentials (millivolt)');
LEGEND_ALGEBRAIC(:,23) = strpad('E_Ks in component reversal_potentials (millivolt)');
LEGEND_ALGEBRAIC(:,25) = strpad('E_Ca in component reversal_potentials (millivolt)');
LEGEND_ALGEBRAIC(:,27) = strpad('E_mh in component reversal_potentials (millivolt)');
LEGEND_CONSTANTS(:,10) = strpad('P_kna in component reversal_potentials (dimensionless)');
LEGEND_CONSTANTS(:,11) = strpad('K_o in component extracellular_potassium_concentration (millimolar)');
LEGEND_CONSTANTS(:,12) = strpad('Na_o in component extracellular_sodium_concentration (millimolar)');
LEGEND_STATES(:,2) = strpad('K_i in component intracellular_potassium_concentration (millimolar)');
LEGEND_STATES(:,3) = strpad('Na_i in component intracellular_sodium_concentration (millimolar)');
LEGEND_CONSTANTS(:,13) = strpad('Ca_o in component extracellular_calcium_concentration (millimolar)');
LEGEND_STATES(:,4) = strpad('Ca_i in component intracellular_calcium_concentration (millimolar)');
LEGEND_CONSTANTS(:,14) = strpad('K_mk1 in component time_independent_potassium_current (millimolar)');
LEGEND_CONSTANTS(:,15) = strpad('g_K1 in component time_independent_potassium_current (microS)');
LEGEND_CONSTANTS(:,16) = strpad('g_Kr1 in component rapid_delayed_rectifier_potassium_current (microS)');
LEGEND_CONSTANTS(:,17) = strpad('g_Kr2 in component rapid_delayed_rectifier_potassium_current (microS)');
LEGEND_STATES(:,5) = strpad('xr1 in component rapid_delayed_rectifier_potassium_current_xr1_gate (dimensionless)');
LEGEND_STATES(:,6) = strpad('xr2 in component rapid_delayed_rectifier_potassium_current_xr2_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,1) = strpad('alpha_xr1 in component rapid_delayed_rectifier_potassium_current_xr1_gate (per_second)');
LEGEND_ALGEBRAIC(:,10) = strpad('beta_xr1 in component rapid_delayed_rectifier_potassium_current_xr1_gate (per_second)');
LEGEND_ALGEBRAIC(:,2) = strpad('alpha_xr2 in component rapid_delayed_rectifier_potassium_current_xr2_gate (per_second)');
LEGEND_ALGEBRAIC(:,11) = strpad('beta_xr2 in component rapid_delayed_rectifier_potassium_current_xr2_gate (per_second)');
LEGEND_CONSTANTS(:,18) = strpad('g_Ks in component slow_delayed_rectifier_potassium_current (microS)');
LEGEND_STATES(:,7) = strpad('xs in component slow_delayed_rectifier_potassium_current_xs_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,3) = strpad('alpha_xs in component slow_delayed_rectifier_potassium_current_xs_gate (per_second)');
LEGEND_ALGEBRAIC(:,12) = strpad('beta_xs in component slow_delayed_rectifier_potassium_current_xs_gate (per_second)');
LEGEND_CONSTANTS(:,19) = strpad('g_Na in component fast_sodium_current (microS)');
LEGEND_STATES(:,8) = strpad('m in component fast_sodium_current_m_gate (dimensionless)');
LEGEND_STATES(:,9) = strpad('h in component fast_sodium_current_h_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,13) = strpad('alpha_m in component fast_sodium_current_m_gate (per_second)');
LEGEND_ALGEBRAIC(:,19) = strpad('beta_m in component fast_sodium_current_m_gate (per_second)');
LEGEND_CONSTANTS(:,20) = strpad('delta_m in component fast_sodium_current_m_gate (millivolt)');
LEGEND_ALGEBRAIC(:,4) = strpad('E0_m in component fast_sodium_current_m_gate (millivolt)');
LEGEND_ALGEBRAIC(:,5) = strpad('alpha_h in component fast_sodium_current_h_gate (per_second)');
LEGEND_ALGEBRAIC(:,14) = strpad('beta_h in component fast_sodium_current_h_gate (per_second)');
LEGEND_CONSTANTS(:,21) = strpad('shift_h in component fast_sodium_current_h_gate (millivolt)');
LEGEND_CONSTANTS(:,22) = strpad('g_pna in component persistent_sodium_current (microS)');
LEGEND_CONSTANTS(:,23) = strpad('g_bna in component sodium_background_current (microS)');
LEGEND_ALGEBRAIC(:,50) = strpad('i_Ca_L in component L_type_Ca_channel (nanoA)');
LEGEND_CONSTANTS(:,24) = strpad('P_Ca_L in component L_type_Ca_channel (nanoA_per_millimolar)');
LEGEND_CONSTANTS(:,25) = strpad('P_CaK in component L_type_Ca_channel (dimensionless)');
LEGEND_CONSTANTS(:,26) = strpad('P_CaNa in component L_type_Ca_channel (dimensionless)');
LEGEND_STATES(:,10) = strpad('Ca_ds in component intracellular_calcium_concentration (millimolar)');
LEGEND_STATES(:,11) = strpad('d in component L_type_Ca_channel_d_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,41) = strpad('CaChoncyt in component L_type_Ca_channel_f_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,46) = strpad('CaChonds in component L_type_Ca_channel_f_gate (dimensionless)');
LEGEND_CONSTANTS(:,27) = strpad('KCaChoff in component L_type_Ca_channel (millimolar)');
LEGEND_CONSTANTS(:,28) = strpad('Kmdsinact in component L_type_Ca_channel (millimolar)');
LEGEND_CONSTANTS(:,29) = strpad('FrICa in component L_type_Ca_channel (dimensionless)');
LEGEND_ALGEBRAIC(:,15) = strpad('alpha_d in component L_type_Ca_channel_d_gate (per_second)');
LEGEND_ALGEBRAIC(:,20) = strpad('beta_d in component L_type_Ca_channel_d_gate (per_second)');
LEGEND_ALGEBRAIC(:,6) = strpad('E0_d in component L_type_Ca_channel_d_gate (millivolt)');
LEGEND_CONSTANTS(:,30) = strpad('speed_d in component L_type_Ca_channel_d_gate (dimensionless)');
LEGEND_STATES(:,12) = strpad('f in component L_type_Ca_channel_f_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,40) = strpad('CaChoffcyt in component L_type_Ca_channel_f_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,45) = strpad('CaChoffds in component L_type_Ca_channel_f_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,38) = strpad('alpha_f in component L_type_Ca_channel_f_gate (per_second)');
LEGEND_ALGEBRAIC(:,39) = strpad('beta_f in component L_type_Ca_channel_f_gate (per_second)');
LEGEND_CONSTANTS(:,31) = strpad('speed_f in component L_type_Ca_channel_f_gate (dimensionless)');
LEGEND_CONSTANTS(:,32) = strpad('delta_f in component L_type_Ca_channel_f_gate (millivolt)');
LEGEND_ALGEBRAIC(:,37) = strpad('E0_f in component L_type_Ca_channel_f_gate (millivolt)');
LEGEND_CONSTANTS(:,33) = strpad('g_bca in component calcium_background_current (microS)');
LEGEND_CONSTANTS(:,34) = strpad('g_to in component transient_outward_current (microS)');
LEGEND_CONSTANTS(:,35) = strpad('g_tos in component transient_outward_current (dimensionless)');
LEGEND_STATES(:,13) = strpad('s in component transient_outward_current_s_gate (dimensionless)');
LEGEND_STATES(:,14) = strpad('r in component transient_outward_current_r_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,8) = strpad('alpha_s in component transient_outward_current_s_gate (per_second)');
LEGEND_ALGEBRAIC(:,17) = strpad('beta_s in component transient_outward_current_s_gate (per_second)');
LEGEND_CONSTANTS(:,36) = strpad('i_NaK_max in component sodium_potassium_pump (nanoA)');
LEGEND_CONSTANTS(:,37) = strpad('K_mK in component sodium_potassium_pump (millimolar)');
LEGEND_CONSTANTS(:,38) = strpad('K_mNa in component sodium_potassium_pump (millimolar)');
LEGEND_ALGEBRAIC(:,56) = strpad('i_NaCa in component sodium_calcium_exchanger (nanoA)');
LEGEND_CONSTANTS(:,39) = strpad('k_NaCa in component sodium_calcium_exchanger (nanoA)');
LEGEND_CONSTANTS(:,40) = strpad('n_NaCa in component sodium_calcium_exchanger (dimensionless)');
LEGEND_CONSTANTS(:,41) = strpad('d_NaCa in component sodium_calcium_exchanger (dimensionless)');
LEGEND_CONSTANTS(:,42) = strpad('gamma in component sodium_calcium_exchanger (dimensionless)');
LEGEND_CONSTANTS(:,43) = strpad('FRiNaCa in component sodium_calcium_exchanger (dimensionless)');
LEGEND_ALGEBRAIC(:,58) = strpad('i_up in component sarcoplasmic_reticulum_calcium_pump (millimolar_per_second)');
LEGEND_CONSTANTS(:,67) = strpad('K_1 in component sarcoplasmic_reticulum_calcium_pump (dimensionless)');
LEGEND_ALGEBRAIC(:,57) = strpad('K_2 in component sarcoplasmic_reticulum_calcium_pump (millimolar)');
LEGEND_CONSTANTS(:,44) = strpad('K_cyca in component sarcoplasmic_reticulum_calcium_pump (millimolar)');
LEGEND_CONSTANTS(:,45) = strpad('K_xcs in component sarcoplasmic_reticulum_calcium_pump (dimensionless)');
LEGEND_CONSTANTS(:,46) = strpad('K_srca in component sarcoplasmic_reticulum_calcium_pump (millimolar)');
LEGEND_CONSTANTS(:,47) = strpad('alpha_up in component sarcoplasmic_reticulum_calcium_pump (millimolar_per_second)');
LEGEND_CONSTANTS(:,48) = strpad('beta_up in component sarcoplasmic_reticulum_calcium_pump (millimolar_per_second)');
LEGEND_STATES(:,15) = strpad('Ca_up in component intracellular_calcium_concentration (millimolar)');
LEGEND_ALGEBRAIC(:,59) = strpad('i_trans in component calcium_translocation (millimolar_per_second)');
LEGEND_STATES(:,16) = strpad('Ca_rel in component intracellular_calcium_concentration (millimolar)');
LEGEND_ALGEBRAIC(:,60) = strpad('i_rel in component calcium_release (millimolar_per_second)');
LEGEND_ALGEBRAIC(:,9) = strpad('VoltDep in component calcium_release (dimensionless)');
LEGEND_ALGEBRAIC(:,24) = strpad('RegBindSite in component calcium_release (dimensionless)');
LEGEND_ALGEBRAIC(:,18) = strpad('CaiReg in component calcium_release (dimensionless)');
LEGEND_ALGEBRAIC(:,22) = strpad('CadsReg in component calcium_release (dimensionless)');
LEGEND_ALGEBRAIC(:,26) = strpad('ActRate in component calcium_release (per_second)');
LEGEND_ALGEBRAIC(:,28) = strpad('InactRate in component calcium_release (per_second)');
LEGEND_CONSTANTS(:,49) = strpad('K_leak_rate in component calcium_release (per_second)');
LEGEND_CONSTANTS(:,50) = strpad('K_m_rel in component calcium_release (per_second)');
LEGEND_CONSTANTS(:,51) = strpad('K_m_Ca_cyt in component calcium_release (millimolar)');
LEGEND_CONSTANTS(:,52) = strpad('K_m_Ca_ds in component calcium_release (millimolar)');
LEGEND_ALGEBRAIC(:,32) = strpad('PrecFrac in component calcium_release (dimensionless)');
LEGEND_STATES(:,17) = strpad('ActFrac in component calcium_release (dimensionless)');
LEGEND_STATES(:,18) = strpad('ProdFrac in component calcium_release (dimensionless)');
LEGEND_ALGEBRAIC(:,30) = strpad('SpeedRel in component calcium_release (dimensionless)');
LEGEND_CONSTANTS(:,69) = strpad('V_i in component intracellular_calcium_concentration (micrometre3)');
LEGEND_STATES(:,19) = strpad('Ca_Calmod in component intracellular_calcium_concentration (millimolar)');
LEGEND_STATES(:,20) = strpad('Ca_Trop in component intracellular_calcium_concentration (millimolar)');
LEGEND_CONSTANTS(:,53) = strpad('Calmod in component intracellular_calcium_concentration (millimolar)');
LEGEND_CONSTANTS(:,54) = strpad('Trop in component intracellular_calcium_concentration (millimolar)');
LEGEND_CONSTANTS(:,55) = strpad('alpha_Calmod in component intracellular_calcium_concentration (per_millimolar_second)');
LEGEND_CONSTANTS(:,56) = strpad('beta_Calmod in component intracellular_calcium_concentration (per_second)');
LEGEND_CONSTANTS(:,57) = strpad('alpha_Trop in component intracellular_calcium_concentration (per_millimolar_second)');
LEGEND_CONSTANTS(:,58) = strpad('beta_Trop in component intracellular_calcium_concentration (per_second)');
LEGEND_CONSTANTS(:,59) = strpad('radius in component intracellular_calcium_concentration (micrometre)');
LEGEND_CONSTANTS(:,60) = strpad('length in component intracellular_calcium_concentration (micrometre)');
LEGEND_CONSTANTS(:,66) = strpad('V_Cell in component intracellular_calcium_concentration (micrometre3)');
LEGEND_CONSTANTS(:,68) = strpad('V_i_ratio in component intracellular_calcium_concentration (dimensionless)');
LEGEND_CONSTANTS(:,61) = strpad('V_ds_ratio in component intracellular_calcium_concentration (dimensionless)');
LEGEND_CONSTANTS(:,62) = strpad('V_rel_ratio in component intracellular_calcium_concentration (dimensionless)');
LEGEND_CONSTANTS(:,63) = strpad('V_e_ratio in component intracellular_calcium_concentration (dimensionless)');
LEGEND_CONSTANTS(:,64) = strpad('V_up_ratio in component intracellular_calcium_concentration (dimensionless)');
LEGEND_CONSTANTS(:,65) = strpad('Kdecay in component intracellular_calcium_concentration (per_second)');
LEGEND_RATES(:,1) = strpad('d/dt V in component membrane (millivolt)');
LEGEND_RATES(:,5) = strpad('d/dt xr1 in component rapid_delayed_rectifier_potassium_current_xr1_gate (dimensionless)');
LEGEND_RATES(:,6) = strpad('d/dt xr2 in component rapid_delayed_rectifier_potassium_current_xr2_gate (dimensionless)');
LEGEND_RATES(:,7) = strpad('d/dt xs in component slow_delayed_rectifier_potassium_current_xs_gate (dimensionless)');
LEGEND_RATES(:,8) = strpad('d/dt m in component fast_sodium_current_m_gate (dimensionless)');
LEGEND_RATES(:,9) = strpad('d/dt h in component fast_sodium_current_h_gate (dimensionless)');
LEGEND_RATES(:,11) = strpad('d/dt d in component L_type_Ca_channel_d_gate (dimensionless)');
LEGEND_RATES(:,12) = strpad('d/dt f in component L_type_Ca_channel_f_gate (dimensionless)');
LEGEND_RATES(:,13) = strpad('d/dt s in component transient_outward_current_s_gate (dimensionless)');
LEGEND_RATES(:,14) = strpad('d/dt r in component transient_outward_current_r_gate (dimensionless)');
LEGEND_RATES(:,17) = strpad('d/dt ActFrac in component calcium_release (dimensionless)');
LEGEND_RATES(:,18) = strpad('d/dt ProdFrac in component calcium_release (dimensionless)');
LEGEND_RATES(:,3) = strpad('d/dt Na_i in component intracellular_sodium_concentration (millimolar)');
LEGEND_RATES(:,2) = strpad('d/dt K_i in component intracellular_potassium_concentration (millimolar)');
LEGEND_RATES(:,4) = strpad('d/dt Ca_i in component intracellular_calcium_concentration (millimolar)');
LEGEND_RATES(:,19) = strpad('d/dt Ca_Calmod in component intracellular_calcium_concentration (millimolar)');
LEGEND_RATES(:,20) = strpad('d/dt Ca_Trop in component intracellular_calcium_concentration (millimolar)');
LEGEND_RATES(:,10) = strpad('d/dt Ca_ds in component intracellular_calcium_concentration (millimolar)');
LEGEND_RATES(:,15) = strpad('d/dt Ca_up in component intracellular_calcium_concentration (millimolar)');
LEGEND_RATES(:,16) = strpad('d/dt Ca_rel in component intracellular_calcium_concentration (millimolar)');
LEGEND_STATES = LEGEND_STATES';
LEGEND_ALGEBRAIC = LEGEND_ALGEBRAIC';
LEGEND_RATES = LEGEND_RATES';
LEGEND_CONSTANTS = LEGEND_CONSTANTS';
end
function [STATES, CONSTANTS] = initConsts()
VOI = 0; CONSTANTS = []; STATES = []; ALGEBRAIC = [];
STATES(:,1) = -93.0550060340878;
CONSTANTS(:,1) = 8314.472;
CONSTANTS(:,2) = 310;
CONSTANTS(:,3) = 96485.3415;
CONSTANTS(:,4) = 9.5e-5;
CONSTANTS(:,5) = 0.1;
CONSTANTS(:,6) = 600;
CONSTANTS(:,7) = 1;
CONSTANTS(:,8) = 0.002;
CONSTANTS(:,9) = -6;
CONSTANTS(:,10) = 0.03;
CONSTANTS(:,11) = 4;
CONSTANTS(:,12) = 140;
STATES(:,2) = 138.49601832864;
STATES(:,3) = 5.68929064089788;
CONSTANTS(:,13) = 2;
STATES(:,4) = 5.60867201979414e-6;
CONSTANTS(:,14) = 10;
CONSTANTS(:,15) = 0.5;
CONSTANTS(:,16) = 0.0028;
CONSTANTS(:,17) = 0.0017;
STATES(:,5) = 9.88715446781661e-6;
STATES(:,6) = 2.15138346929839e-7;
CONSTANTS(:,18) = 0.0016;
STATES(:,7) = 6.72192033116639e-7;
CONSTANTS(:,19) = 0.5;
STATES(:,8) = 0.00157541794600382;
STATES(:,9) = 0.99465397024286;
CONSTANTS(:,20) = 1e-5;
CONSTANTS(:,21) = 0;
CONSTANTS(:,22) = 0.0027;
CONSTANTS(:,23) = 0.0006;
CONSTANTS(:,24) = 1;
CONSTANTS(:,25) = 0.002;
CONSTANTS(:,26) = 0.01;
STATES(:,10) = 2.15623822848619e-7;
STATES(:,11) = 2.27643784381792e-8;
CONSTANTS(:,27) = 0.01;
CONSTANTS(:,28) = 0.001;
CONSTANTS(:,29) = 0.7;
CONSTANTS(:,30) = 3;
STATES(:,12) = 4.03082807230434e-9;
CONSTANTS(:,31) = 0.3;
CONSTANTS(:,32) = 0.0001;
CONSTANTS(:,33) = 0.00025;
CONSTANTS(:,34) = 0.005;
CONSTANTS(:,35) = 0;
STATES(:,13) = 0.999870016703514;
STATES(:,14) = 1.8398417043009e-8;
CONSTANTS(:,36) = 0.7;
CONSTANTS(:,37) = 1;
CONSTANTS(:,38) = 40;
CONSTANTS(:,39) = 0.0005;
CONSTANTS(:,40) = 3;
CONSTANTS(:,41) = 0;
CONSTANTS(:,42) = 0.2;
CONSTANTS(:,43) = 0.001;
CONSTANTS(:,44) = 0.0003;
CONSTANTS(:,45) = 0.4;
CONSTANTS(:,46) = 0.5;
CONSTANTS(:,47) = 0.4;
CONSTANTS(:,48) = 0.03;
STATES(:,15) = 0.187470810108547;
STATES(:,16) = 0.185609773872992;
CONSTANTS(:,49) = 0.05;
CONSTANTS(:,50) = 250;
CONSTANTS(:,51) = 0.0005;
CONSTANTS(:,52) = 0.01;
STATES(:,17) = 0.000183030061767109;
STATES(:,18) = 0.0109931117325847;
STATES(:,19) = 0.000221858224298955;
STATES(:,20) = 0.00013982468565579;
CONSTANTS(:,53) = 0.02;
CONSTANTS(:,54) = 0.05;
CONSTANTS(:,55) = 100000;
CONSTANTS(:,56) = 50;
CONSTANTS(:,57) = 100000;
CONSTANTS(:,58) = 200;
CONSTANTS(:,59) = 12;
CONSTANTS(:,60) = 74;
CONSTANTS(:,61) = 0.1;
CONSTANTS(:,62) = 0.1;
CONSTANTS(:,63) = 0.4;
CONSTANTS(:,64) = 0.01;
CONSTANTS(:,65) = 10;
CONSTANTS(:,66) = ( 3.14159.*power(CONSTANTS(:,59)./1000.00, 2.00000).*CONSTANTS(:,60))./1000.00;
CONSTANTS(:,67) = ( CONSTANTS(:,44).*CONSTANTS(:,45))./CONSTANTS(:,46);
CONSTANTS(:,68) = ((1.00000 - CONSTANTS(:,63)) - CONSTANTS(:,64)) - CONSTANTS(:,62);
CONSTANTS(:,69) = CONSTANTS(:,66).*CONSTANTS(:,68);
if (isempty(STATES)), warning('Initial values for states not set');, end
end
function [RATES, ALGEBRAIC] = computeRates(VOI, STATES, CONSTANTS)
global algebraicVariableCount;
statesSize = size(STATES);
statesColumnCount = statesSize(2);
if ( statesColumnCount == 1)
STATES = STATES';
ALGEBRAIC = zeros(1, algebraicVariableCount);
utilOnes = 1;
else
statesRowCount = statesSize(1);
ALGEBRAIC = zeros(statesRowCount, algebraicVariableCount);
RATES = zeros(statesRowCount, statesColumnCount);
utilOnes = ones(statesRowCount, 1);
end
RATES(:,14) = 333.000.*(1.00000./(1.00000+exp( - (STATES(:,1)+4.00000)./5.00000)) - STATES(:,14));
ALGEBRAIC(:,1) = 50.0000./(1.00000+exp( - (STATES(:,1) - 5.00000)./9.00000));
ALGEBRAIC(:,10) = 0.0500000.*exp( - (STATES(:,1) - 20.0000)./15.0000);
RATES(:,5) = ALGEBRAIC(:,1).*(1.00000 - STATES(:,5)) - ALGEBRAIC(:,10).*STATES(:,5);
ALGEBRAIC(:,2) = 50.0000./(1.00000+exp( - (STATES(:,1) - 5.00000)./9.00000));
ALGEBRAIC(:,11) = 0.400000.*exp( - power((STATES(:,1)+30.0000)./30.0000, 3.00000));
RATES(:,6) = ALGEBRAIC(:,2).*(1.00000 - STATES(:,6)) - ALGEBRAIC(:,11).*STATES(:,6);
ALGEBRAIC(:,3) = 14.0000./(1.00000+exp( - (STATES(:,1) - 40.0000)./9.00000));
ALGEBRAIC(:,12) = 1.00000.*exp( - STATES(:,1)./45.0000);
RATES(:,7) = ALGEBRAIC(:,3).*(1.00000 - STATES(:,7)) - ALGEBRAIC(:,12).*STATES(:,7);
ALGEBRAIC(:,5) = 20.0000.*exp( - 0.125000.*((STATES(:,1)+75.0000) - CONSTANTS(:,21)));
ALGEBRAIC(:,14) = 2000.00./(1.00000+ 320.000.*exp( - 0.100000.*((STATES(:,1)+75.0000) - CONSTANTS(:,21))));
RATES(:,9) = ALGEBRAIC(:,5).*(1.00000 - STATES(:,9)) - ALGEBRAIC(:,14).*STATES(:,9);
ALGEBRAIC(:,8) = 0.0330000.*exp( - STATES(:,1)./17.0000);
ALGEBRAIC(:,17) = 33.0000./(1.00000+exp( - 0.125000.*(STATES(:,1)+10.0000)));
RATES(:,13) = ALGEBRAIC(:,8).*(1.00000 - STATES(:,13)) - ALGEBRAIC(:,17).*STATES(:,13);
ALGEBRAIC(:,4) = STATES(:,1)+41.0000;
ALGEBRAIC(:,13) = piecewise({abs(ALGEBRAIC(:,4))<CONSTANTS(:,20), 2000.00 }, ( 200.000.*ALGEBRAIC(:,4))./(1.00000 - exp( - 0.100000.*ALGEBRAIC(:,4))));
ALGEBRAIC(:,19) = 8000.00.*exp( - 0.0560000.*(STATES(:,1)+66.0000));
RATES(:,8) = ALGEBRAIC(:,13).*(1.00000 - STATES(:,8)) - ALGEBRAIC(:,19).*STATES(:,8);
ALGEBRAIC(:,6) = (STATES(:,1)+24.0000) - 5.00000;
ALGEBRAIC(:,15) = piecewise({abs(ALGEBRAIC(:,6))<0.000100000, 120.000 }, ( 30.0000.*ALGEBRAIC(:,6))./(1.00000 - exp( - ALGEBRAIC(:,6)./4.00000)));
ALGEBRAIC(:,20) = piecewise({abs(ALGEBRAIC(:,6))<0.000100000, 120.000 }, ( 12.0000.*ALGEBRAIC(:,6))./(exp(ALGEBRAIC(:,6)./10.0000) - 1.00000));
RATES(:,11) = CONSTANTS(:,30).*( ALGEBRAIC(:,15).*(1.00000 - STATES(:,11)) - ALGEBRAIC(:,20).*STATES(:,11));
ALGEBRAIC(:,18) = STATES(:,4)./(STATES(:,4)+CONSTANTS(:,51));
ALGEBRAIC(:,22) = STATES(:,10)./(STATES(:,10)+CONSTANTS(:,52));
ALGEBRAIC(:,24) = ALGEBRAIC(:,18)+ (1.00000 - ALGEBRAIC(:,18)).*ALGEBRAIC(:,22);
ALGEBRAIC(:,28) = 60.0000+ 500.000.*power(ALGEBRAIC(:,24), 2.00000);
ALGEBRAIC(:,30) = piecewise({STATES(:,1)< - 50.0000, 5.00000 }, 1.00000);
RATES(:,18) = STATES(:,17).*ALGEBRAIC(:,30).*ALGEBRAIC(:,28) - ALGEBRAIC(:,30).*1.00000.*STATES(:,18);
ALGEBRAIC(:,9) = exp( 0.0800000.*(STATES(:,1) - 40.0000));
ALGEBRAIC(:,26) = 0.00000.*ALGEBRAIC(:,9)+ 90.0000.*power(ALGEBRAIC(:,24), 2.00000);
ALGEBRAIC(:,32) = (1.00000 - STATES(:,17)) - STATES(:,18);
RATES(:,17) = ALGEBRAIC(:,32).*ALGEBRAIC(:,30).*ALGEBRAIC(:,26) - STATES(:,17).*ALGEBRAIC(:,30).*ALGEBRAIC(:,28);
ALGEBRAIC(:,40) = STATES(:,4)./(CONSTANTS(:,27)+STATES(:,4));
ALGEBRAIC(:,37) = STATES(:,1)+34.0000;
ALGEBRAIC(:,38) = piecewise({abs(ALGEBRAIC(:,37))<CONSTANTS(:,32), 25.0000 }, ( 6.25000.*ALGEBRAIC(:,37))./(exp(ALGEBRAIC(:,37)./4.00000) - 1.00000));
ALGEBRAIC(:,39) = 12.0000./(1.00000+exp(( - 1.00000.*(STATES(:,1)+34.0000))./4.00000));
RATES(:,12) = ( 120.000.*(1.00000 - STATES(:,12)).*ALGEBRAIC(:,40)+ (1.00000 - STATES(:,12)).*(1.00000 - ALGEBRAIC(:,40))).*CONSTANTS(:,31).*ALGEBRAIC(:,39) - ALGEBRAIC(:,38).*STATES(:,12);
ALGEBRAIC(:,45) = STATES(:,10)./(CONSTANTS(:,28)+STATES(:,10));
ALGEBRAIC(:,46) = (1.00000 - STATES(:,12)).*(1.00000 - ALGEBRAIC(:,45));
ALGEBRAIC(:,47) = ((( CONSTANTS(:,29).*4.00000.*CONSTANTS(:,24).*STATES(:,11).*ALGEBRAIC(:,46).*(STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))./(1.00000 - exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3).*2.00000)./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*( STATES(:,4).*exp(( 100.000.*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,13).*exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3).*2.00000)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
RATES(:,10) = ( - 1.00000.*ALGEBRAIC(:,47))./( 2.00000.*1.00000.*CONSTANTS(:,61).*CONSTANTS(:,69).*CONSTANTS(:,3)) - STATES(:,10).*CONSTANTS(:,65);
ALGEBRAIC(:,21) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,11)./STATES(:,2));
ALGEBRAIC(:,29) = ( (( CONSTANTS(:,15).*CONSTANTS(:,11))./(CONSTANTS(:,11)+CONSTANTS(:,14))).*(STATES(:,1) - ALGEBRAIC(:,21)))./(1.00000+exp(( ((STATES(:,1) - ALGEBRAIC(:,21)) - 10.0000).*CONSTANTS(:,3).*1.25000)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,52) = CONSTANTS(:,34).*(CONSTANTS(:,35)+ STATES(:,13).*(1.00000 - CONSTANTS(:,35))).*STATES(:,14).*(STATES(:,1) - ALGEBRAIC(:,21));
ALGEBRAIC(:,31) = (( ( CONSTANTS(:,16).*STATES(:,5)+ CONSTANTS(:,17).*STATES(:,6)).*1.00000)./(1.00000+exp((STATES(:,1)+9.00000)./22.4000))).*(STATES(:,1) - ALGEBRAIC(:,21));
ALGEBRAIC(:,23) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log((CONSTANTS(:,11)+ CONSTANTS(:,10).*CONSTANTS(:,12))./(STATES(:,2)+ CONSTANTS(:,10).*STATES(:,3)));
ALGEBRAIC(:,33) = CONSTANTS(:,18).*power(STATES(:,7), 2.00000).*(STATES(:,1) - ALGEBRAIC(:,23));
ALGEBRAIC(:,41) = (1.00000 - STATES(:,12)).*(1.00000 - ALGEBRAIC(:,40));
ALGEBRAIC(:,43) = ((( (1.00000 - CONSTANTS(:,29)).*CONSTANTS(:,25).*CONSTANTS(:,24).*STATES(:,11).*ALGEBRAIC(:,41).*(STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))./(1.00000 - exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*( STATES(:,2).*exp(( 50.0000.*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,11).*exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,48) = ((( CONSTANTS(:,29).*CONSTANTS(:,25).*CONSTANTS(:,24).*STATES(:,11).*ALGEBRAIC(:,46).*(STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))./(1.00000 - exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*( STATES(:,2).*exp(( 50.0000.*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,11).*exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,53) = ( (( CONSTANTS(:,36).*CONSTANTS(:,11))./(CONSTANTS(:,37)+CONSTANTS(:,11))).*STATES(:,3))./(CONSTANTS(:,38)+STATES(:,3));
RATES(:,2) = ( - 1.00000./( 1.00000.*CONSTANTS(:,69).*CONSTANTS(:,3))).*((ALGEBRAIC(:,29)+ALGEBRAIC(:,31)+ALGEBRAIC(:,33)+ALGEBRAIC(:,43)+ALGEBRAIC(:,48)+ALGEBRAIC(:,52)) - 2.00000.*ALGEBRAIC(:,53));
ALGEBRAIC(:,27) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log((CONSTANTS(:,12)+ 0.120000.*CONSTANTS(:,11))./(STATES(:,3)+ 0.120000.*STATES(:,2)));
ALGEBRAIC(:,34) = CONSTANTS(:,19).*power(STATES(:,8), 3.00000).*STATES(:,9).*(STATES(:,1) - ALGEBRAIC(:,27));
ALGEBRAIC(:,16) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,12)./STATES(:,3));
ALGEBRAIC(:,36) = CONSTANTS(:,23).*(STATES(:,1) - ALGEBRAIC(:,16));
ALGEBRAIC(:,35) = (( CONSTANTS(:,22).*1.00000)./(1.00000+exp( - (STATES(:,1)+52.0000)./8.00000))).*(STATES(:,1) - ALGEBRAIC(:,16));
ALGEBRAIC(:,44) = ((( (1.00000 - CONSTANTS(:,29)).*CONSTANTS(:,26).*CONSTANTS(:,24).*STATES(:,11).*ALGEBRAIC(:,41).*(STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))./(1.00000 - exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*( STATES(:,3).*exp(( 50.0000.*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,12).*exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,49) = ((( CONSTANTS(:,29).*CONSTANTS(:,26).*CONSTANTS(:,24).*STATES(:,11).*ALGEBRAIC(:,46).*(STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))./(1.00000 - exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*( STATES(:,3).*exp(( 50.0000.*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,12).*exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,54) = ( (1.00000 - CONSTANTS(:,43)).*CONSTANTS(:,39).*( exp(( CONSTANTS(:,42).*(CONSTANTS(:,40) - 2.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(STATES(:,3), CONSTANTS(:,40)).*CONSTANTS(:,13) - exp(( (CONSTANTS(:,42) - 1.00000).*(CONSTANTS(:,40) - 2.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(CONSTANTS(:,12), CONSTANTS(:,40)).*STATES(:,4)))./( (1.00000+ CONSTANTS(:,41).*( STATES(:,4).*power(CONSTANTS(:,12), CONSTANTS(:,40))+ CONSTANTS(:,13).*power(STATES(:,3), CONSTANTS(:,40)))).*(1.00000+STATES(:,4)./0.00690000));
RATES(:,3) = ( - 1.00000./( 1.00000.*CONSTANTS(:,69).*CONSTANTS(:,3))).*(ALGEBRAIC(:,34)+ALGEBRAIC(:,35)+ALGEBRAIC(:,36)+ 3.00000.*ALGEBRAIC(:,53)+ 3.00000.*ALGEBRAIC(:,54)+ALGEBRAIC(:,44)+ALGEBRAIC(:,49));
ALGEBRAIC(:,55) = ( CONSTANTS(:,43).*CONSTANTS(:,39).*( exp(( CONSTANTS(:,42).*(CONSTANTS(:,40) - 2.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(STATES(:,3), CONSTANTS(:,40)).*CONSTANTS(:,13) - exp(( (CONSTANTS(:,42) - 1.00000).*(CONSTANTS(:,40) - 2.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(CONSTANTS(:,12), CONSTANTS(:,40)).*STATES(:,10)))./( (1.00000+ CONSTANTS(:,41).*( STATES(:,10).*power(CONSTANTS(:,12), CONSTANTS(:,40))+ CONSTANTS(:,13).*power(STATES(:,3), CONSTANTS(:,40)))).*(1.00000+STATES(:,10)./0.00690000));
ALGEBRAIC(:,42) = ((( (1.00000 - CONSTANTS(:,29)).*4.00000.*CONSTANTS(:,24).*STATES(:,11).*ALGEBRAIC(:,41).*(STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))./(1.00000 - exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3).*2.00000)./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*( STATES(:,4).*exp(( 100.000.*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,13).*exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3).*2.00000)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,25) = (( 0.500000.*CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,13)./STATES(:,4));
ALGEBRAIC(:,51) = CONSTANTS(:,33).*(STATES(:,1) - ALGEBRAIC(:,25));
ALGEBRAIC(:,7) = piecewise({VOI>=CONSTANTS(:,5)&VOI<=CONSTANTS(:,6)&(VOI - CONSTANTS(:,5)) - floor((VOI - CONSTANTS(:,5))./CONSTANTS(:,7)).*CONSTANTS(:,7)<=CONSTANTS(:,8), CONSTANTS(:,9) }, 0.00000);
RATES(:,1) = ( - 1.00000./CONSTANTS(:,4)).*(ALGEBRAIC(:,7)+ALGEBRAIC(:,29)+ALGEBRAIC(:,52)+ALGEBRAIC(:,31)+ALGEBRAIC(:,33)+ALGEBRAIC(:,53)+ALGEBRAIC(:,34)+ALGEBRAIC(:,36)+ALGEBRAIC(:,35)+ALGEBRAIC(:,44)+ALGEBRAIC(:,49)+ALGEBRAIC(:,54)+ALGEBRAIC(:,55)+ALGEBRAIC(:,42)+ALGEBRAIC(:,47)+ALGEBRAIC(:,43)+ALGEBRAIC(:,48)+ALGEBRAIC(:,51));
ALGEBRAIC(:,57) = STATES(:,4)+ STATES(:,15).*CONSTANTS(:,67)+ CONSTANTS(:,44).*CONSTANTS(:,45)+CONSTANTS(:,44);
ALGEBRAIC(:,58) = (STATES(:,4)./ALGEBRAIC(:,57)).*CONSTANTS(:,47) - (( STATES(:,15).*CONSTANTS(:,67))./ALGEBRAIC(:,57)).*CONSTANTS(:,48);
ALGEBRAIC(:,59) = 50.0000.*(STATES(:,15) - STATES(:,16));
RATES(:,15) = (CONSTANTS(:,68)./CONSTANTS(:,64)).*ALGEBRAIC(:,58) - ALGEBRAIC(:,59);
RATES(:,19) = CONSTANTS(:,55).*STATES(:,4).*(CONSTANTS(:,53) - STATES(:,19)) - CONSTANTS(:,56).*STATES(:,19);
ALGEBRAIC(:,60) = ( power(STATES(:,17)./(STATES(:,17)+0.250000), 2.00000).*CONSTANTS(:,50)+CONSTANTS(:,49)).*STATES(:,16);
RATES(:,16) = (CONSTANTS(:,64)./CONSTANTS(:,62)).*ALGEBRAIC(:,59) - ALGEBRAIC(:,60);
RATES(:,20) = CONSTANTS(:,57).*STATES(:,4).*(CONSTANTS(:,54) - STATES(:,20)) - CONSTANTS(:,58).*STATES(:,20);
RATES(:,4) = ((( ( - 1.00000./( 2.00000.*1.00000.*CONSTANTS(:,69).*CONSTANTS(:,3))).*(((ALGEBRAIC(:,42)+ALGEBRAIC(:,51)) - 2.00000.*ALGEBRAIC(:,54)) - 2.00000.*ALGEBRAIC(:,55))+ STATES(:,10).*CONSTANTS(:,61).*CONSTANTS(:,65)+( ALGEBRAIC(:,60).*CONSTANTS(:,62))./CONSTANTS(:,68)) - RATES(:,19)) - RATES(:,20)) - ALGEBRAIC(:,58);
RATES = RATES';
end
% Calculate algebraic variables
function ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, VOI)
statesSize = size(STATES);
statesColumnCount = statesSize(2);
if ( statesColumnCount == 1)
STATES = STATES';
utilOnes = 1;
else
statesRowCount = statesSize(1);
utilOnes = ones(statesRowCount, 1);
end
ALGEBRAIC(:,1) = 50.0000./(1.00000+exp( - (STATES(:,1) - 5.00000)./9.00000));
ALGEBRAIC(:,10) = 0.0500000.*exp( - (STATES(:,1) - 20.0000)./15.0000);
ALGEBRAIC(:,2) = 50.0000./(1.00000+exp( - (STATES(:,1) - 5.00000)./9.00000));
ALGEBRAIC(:,11) = 0.400000.*exp( - power((STATES(:,1)+30.0000)./30.0000, 3.00000));
ALGEBRAIC(:,3) = 14.0000./(1.00000+exp( - (STATES(:,1) - 40.0000)./9.00000));
ALGEBRAIC(:,12) = 1.00000.*exp( - STATES(:,1)./45.0000);
ALGEBRAIC(:,5) = 20.0000.*exp( - 0.125000.*((STATES(:,1)+75.0000) - CONSTANTS(:,21)));
ALGEBRAIC(:,14) = 2000.00./(1.00000+ 320.000.*exp( - 0.100000.*((STATES(:,1)+75.0000) - CONSTANTS(:,21))));
ALGEBRAIC(:,8) = 0.0330000.*exp( - STATES(:,1)./17.0000);
ALGEBRAIC(:,17) = 33.0000./(1.00000+exp( - 0.125000.*(STATES(:,1)+10.0000)));
ALGEBRAIC(:,4) = STATES(:,1)+41.0000;
ALGEBRAIC(:,13) = piecewise({abs(ALGEBRAIC(:,4))<CONSTANTS(:,20), 2000.00 }, ( 200.000.*ALGEBRAIC(:,4))./(1.00000 - exp( - 0.100000.*ALGEBRAIC(:,4))));
ALGEBRAIC(:,19) = 8000.00.*exp( - 0.0560000.*(STATES(:,1)+66.0000));
ALGEBRAIC(:,6) = (STATES(:,1)+24.0000) - 5.00000;
ALGEBRAIC(:,15) = piecewise({abs(ALGEBRAIC(:,6))<0.000100000, 120.000 }, ( 30.0000.*ALGEBRAIC(:,6))./(1.00000 - exp( - ALGEBRAIC(:,6)./4.00000)));
ALGEBRAIC(:,20) = piecewise({abs(ALGEBRAIC(:,6))<0.000100000, 120.000 }, ( 12.0000.*ALGEBRAIC(:,6))./(exp(ALGEBRAIC(:,6)./10.0000) - 1.00000));
ALGEBRAIC(:,18) = STATES(:,4)./(STATES(:,4)+CONSTANTS(:,51));
ALGEBRAIC(:,22) = STATES(:,10)./(STATES(:,10)+CONSTANTS(:,52));
ALGEBRAIC(:,24) = ALGEBRAIC(:,18)+ (1.00000 - ALGEBRAIC(:,18)).*ALGEBRAIC(:,22);
ALGEBRAIC(:,28) = 60.0000+ 500.000.*power(ALGEBRAIC(:,24), 2.00000);
ALGEBRAIC(:,30) = piecewise({STATES(:,1)< - 50.0000, 5.00000 }, 1.00000);
ALGEBRAIC(:,9) = exp( 0.0800000.*(STATES(:,1) - 40.0000));
ALGEBRAIC(:,26) = 0.00000.*ALGEBRAIC(:,9)+ 90.0000.*power(ALGEBRAIC(:,24), 2.00000);
ALGEBRAIC(:,32) = (1.00000 - STATES(:,17)) - STATES(:,18);
ALGEBRAIC(:,40) = STATES(:,4)./(CONSTANTS(:,27)+STATES(:,4));
ALGEBRAIC(:,37) = STATES(:,1)+34.0000;
ALGEBRAIC(:,38) = piecewise({abs(ALGEBRAIC(:,37))<CONSTANTS(:,32), 25.0000 }, ( 6.25000.*ALGEBRAIC(:,37))./(exp(ALGEBRAIC(:,37)./4.00000) - 1.00000));
ALGEBRAIC(:,39) = 12.0000./(1.00000+exp(( - 1.00000.*(STATES(:,1)+34.0000))./4.00000));
ALGEBRAIC(:,45) = STATES(:,10)./(CONSTANTS(:,28)+STATES(:,10));
ALGEBRAIC(:,46) = (1.00000 - STATES(:,12)).*(1.00000 - ALGEBRAIC(:,45));
ALGEBRAIC(:,47) = ((( CONSTANTS(:,29).*4.00000.*CONSTANTS(:,24).*STATES(:,11).*ALGEBRAIC(:,46).*(STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))./(1.00000 - exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3).*2.00000)./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*( STATES(:,4).*exp(( 100.000.*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,13).*exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3).*2.00000)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,21) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,11)./STATES(:,2));
ALGEBRAIC(:,29) = ( (( CONSTANTS(:,15).*CONSTANTS(:,11))./(CONSTANTS(:,11)+CONSTANTS(:,14))).*(STATES(:,1) - ALGEBRAIC(:,21)))./(1.00000+exp(( ((STATES(:,1) - ALGEBRAIC(:,21)) - 10.0000).*CONSTANTS(:,3).*1.25000)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,52) = CONSTANTS(:,34).*(CONSTANTS(:,35)+ STATES(:,13).*(1.00000 - CONSTANTS(:,35))).*STATES(:,14).*(STATES(:,1) - ALGEBRAIC(:,21));
ALGEBRAIC(:,31) = (( ( CONSTANTS(:,16).*STATES(:,5)+ CONSTANTS(:,17).*STATES(:,6)).*1.00000)./(1.00000+exp((STATES(:,1)+9.00000)./22.4000))).*(STATES(:,1) - ALGEBRAIC(:,21));
ALGEBRAIC(:,23) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log((CONSTANTS(:,11)+ CONSTANTS(:,10).*CONSTANTS(:,12))./(STATES(:,2)+ CONSTANTS(:,10).*STATES(:,3)));
ALGEBRAIC(:,33) = CONSTANTS(:,18).*power(STATES(:,7), 2.00000).*(STATES(:,1) - ALGEBRAIC(:,23));
ALGEBRAIC(:,41) = (1.00000 - STATES(:,12)).*(1.00000 - ALGEBRAIC(:,40));
ALGEBRAIC(:,43) = ((( (1.00000 - CONSTANTS(:,29)).*CONSTANTS(:,25).*CONSTANTS(:,24).*STATES(:,11).*ALGEBRAIC(:,41).*(STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))./(1.00000 - exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*( STATES(:,2).*exp(( 50.0000.*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,11).*exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,48) = ((( CONSTANTS(:,29).*CONSTANTS(:,25).*CONSTANTS(:,24).*STATES(:,11).*ALGEBRAIC(:,46).*(STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))./(1.00000 - exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*( STATES(:,2).*exp(( 50.0000.*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,11).*exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,53) = ( (( CONSTANTS(:,36).*CONSTANTS(:,11))./(CONSTANTS(:,37)+CONSTANTS(:,11))).*STATES(:,3))./(CONSTANTS(:,38)+STATES(:,3));
ALGEBRAIC(:,27) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log((CONSTANTS(:,12)+ 0.120000.*CONSTANTS(:,11))./(STATES(:,3)+ 0.120000.*STATES(:,2)));
ALGEBRAIC(:,34) = CONSTANTS(:,19).*power(STATES(:,8), 3.00000).*STATES(:,9).*(STATES(:,1) - ALGEBRAIC(:,27));
ALGEBRAIC(:,16) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,12)./STATES(:,3));
ALGEBRAIC(:,36) = CONSTANTS(:,23).*(STATES(:,1) - ALGEBRAIC(:,16));
ALGEBRAIC(:,35) = (( CONSTANTS(:,22).*1.00000)./(1.00000+exp( - (STATES(:,1)+52.0000)./8.00000))).*(STATES(:,1) - ALGEBRAIC(:,16));
ALGEBRAIC(:,44) = ((( (1.00000 - CONSTANTS(:,29)).*CONSTANTS(:,26).*CONSTANTS(:,24).*STATES(:,11).*ALGEBRAIC(:,41).*(STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))./(1.00000 - exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*( STATES(:,3).*exp(( 50.0000.*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,12).*exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,49) = ((( CONSTANTS(:,29).*CONSTANTS(:,26).*CONSTANTS(:,24).*STATES(:,11).*ALGEBRAIC(:,46).*(STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))./(1.00000 - exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*( STATES(:,3).*exp(( 50.0000.*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,12).*exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,54) = ( (1.00000 - CONSTANTS(:,43)).*CONSTANTS(:,39).*( exp(( CONSTANTS(:,42).*(CONSTANTS(:,40) - 2.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(STATES(:,3), CONSTANTS(:,40)).*CONSTANTS(:,13) - exp(( (CONSTANTS(:,42) - 1.00000).*(CONSTANTS(:,40) - 2.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(CONSTANTS(:,12), CONSTANTS(:,40)).*STATES(:,4)))./( (1.00000+ CONSTANTS(:,41).*( STATES(:,4).*power(CONSTANTS(:,12), CONSTANTS(:,40))+ CONSTANTS(:,13).*power(STATES(:,3), CONSTANTS(:,40)))).*(1.00000+STATES(:,4)./0.00690000));
ALGEBRAIC(:,55) = ( CONSTANTS(:,43).*CONSTANTS(:,39).*( exp(( CONSTANTS(:,42).*(CONSTANTS(:,40) - 2.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(STATES(:,3), CONSTANTS(:,40)).*CONSTANTS(:,13) - exp(( (CONSTANTS(:,42) - 1.00000).*(CONSTANTS(:,40) - 2.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(CONSTANTS(:,12), CONSTANTS(:,40)).*STATES(:,10)))./( (1.00000+ CONSTANTS(:,41).*( STATES(:,10).*power(CONSTANTS(:,12), CONSTANTS(:,40))+ CONSTANTS(:,13).*power(STATES(:,3), CONSTANTS(:,40)))).*(1.00000+STATES(:,10)./0.00690000));
ALGEBRAIC(:,42) = ((( (1.00000 - CONSTANTS(:,29)).*4.00000.*CONSTANTS(:,24).*STATES(:,11).*ALGEBRAIC(:,41).*(STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))./(1.00000 - exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3).*2.00000)./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*( STATES(:,4).*exp(( 100.000.*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,13).*exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3).*2.00000)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,25) = (( 0.500000.*CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,13)./STATES(:,4));
ALGEBRAIC(:,51) = CONSTANTS(:,33).*(STATES(:,1) - ALGEBRAIC(:,25));
ALGEBRAIC(:,7) = piecewise({VOI>=CONSTANTS(:,5)&VOI<=CONSTANTS(:,6)&(VOI - CONSTANTS(:,5)) - floor((VOI - CONSTANTS(:,5))./CONSTANTS(:,7)).*CONSTANTS(:,7)<=CONSTANTS(:,8), CONSTANTS(:,9) }, 0.00000);
ALGEBRAIC(:,57) = STATES(:,4)+ STATES(:,15).*CONSTANTS(:,67)+ CONSTANTS(:,44).*CONSTANTS(:,45)+CONSTANTS(:,44);
ALGEBRAIC(:,58) = (STATES(:,4)./ALGEBRAIC(:,57)).*CONSTANTS(:,47) - (( STATES(:,15).*CONSTANTS(:,67))./ALGEBRAIC(:,57)).*CONSTANTS(:,48);
ALGEBRAIC(:,59) = 50.0000.*(STATES(:,15) - STATES(:,16));
ALGEBRAIC(:,60) = ( power(STATES(:,17)./(STATES(:,17)+0.250000), 2.00000).*CONSTANTS(:,50)+CONSTANTS(:,49)).*STATES(:,16);
ALGEBRAIC(:,50) = ALGEBRAIC(:,42)+ALGEBRAIC(:,43)+ALGEBRAIC(:,44)+ALGEBRAIC(:,47)+ALGEBRAIC(:,48)+ALGEBRAIC(:,49);
ALGEBRAIC(:,56) = ALGEBRAIC(:,54)+ALGEBRAIC(:,55);
end
% Compute result of a piecewise function
function x = piecewise(cases, default)
set = [0];
for i = 1:2:length(cases)
if (length(cases{i+1}) == 1)
x(cases{i} & ~set,:) = cases{i+1};
else
x(cases{i} & ~set,:) = cases{i+1}(cases{i} & ~set);
end
set = set | cases{i};
if(set), break, end
end
if (length(default) == 1)
x(~set,:) = default;
else
x(~set,:) = default(~set);
end
end
% Pad out or shorten strings to a set length
function strout = strpad(strin)
req_length = 160;
insize = size(strin,2);
if insize > req_length
strout = strin(1:req_length);
else
strout = [strin, blanks(req_length - insize)];
end
end