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 =49;
end
% There are a total of 29 entries in each of the rate and state variable arrays.
% There are a total of 51 entries in the constant variable array.
%
function [VOI, STATES, ALGEBRAIC, CONSTANTS] = solveModel()
% Create ALGEBRAIC of correct size
global algebraicVariableCount; algebraicVariableCount = getAlgebraicVariableCount();
% Initialise constants and state variables
[INIT_STATES, CONSTANTS] = initConsts;
% Set timespan to solve over
tspan = [0, 10];
% Set numerical accuracy options for ODE solver
options = odeset('RelTol', 1e-06, 'AbsTol', 1e-06, 'MaxStep', 1);
% Solve model with ODE solver
[VOI, STATES] = ode15s(@(VOI, STATES)computeRates(VOI, STATES, CONSTANTS), tspan, INIT_STATES, options);
% Compute algebraic variables
[RATES, ALGEBRAIC] = computeRates(VOI, STATES, CONSTANTS);
ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, VOI);
% Plot state variables against variable of integration
[LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends();
figure();
plot(VOI, STATES);
xlabel(LEGEND_VOI);
l = legend(LEGEND_STATES);
set(l,'Interpreter','none');
end
function [LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends()
LEGEND_STATES = ''; LEGEND_ALGEBRAIC = ''; LEGEND_VOI = ''; LEGEND_CONSTANTS = '';
LEGEND_VOI = strpad('time in component environment (second)');
LEGEND_STATES(:,1) = strpad('V in component membrane (millivolt)');
LEGEND_CONSTANTS(:,1) = strpad('R in component membrane (millijoule_per_mole_kelvin)');
LEGEND_CONSTANTS(:,2) = strpad('T in component membrane (kelvin)');
LEGEND_CONSTANTS(:,3) = strpad('F in component membrane (coulomb_per_mole)');
LEGEND_CONSTANTS(:,4) = strpad('Cm in component membrane (nanoF)');
LEGEND_ALGEBRAIC(:,27) = strpad('i_Na in component sodium_current (picoA)');
LEGEND_ALGEBRAIC(:,29) = strpad('i_Ca_L in component L_type_Ca_channel (picoA)');
LEGEND_ALGEBRAIC(:,31) = strpad('i_t in component Ca_independent_transient_outward_K_current (picoA)');
LEGEND_ALGEBRAIC(:,32) = strpad('i_sus in component sustained_outward_K_current (picoA)');
LEGEND_ALGEBRAIC(:,36) = strpad('i_K1 in component inward_rectifier (picoA)');
LEGEND_ALGEBRAIC(:,35) = strpad('i_Kr in component delayed_rectifier_K_currents (picoA)');
LEGEND_ALGEBRAIC(:,33) = strpad('i_Ks in component delayed_rectifier_K_currents (picoA)');
LEGEND_ALGEBRAIC(:,37) = strpad('i_B_Na in component background_currents (picoA)');
LEGEND_ALGEBRAIC(:,39) = strpad('i_B_Ca in component background_currents (picoA)');
LEGEND_ALGEBRAIC(:,40) = strpad('i_NaK in component sodium_potassium_pump (picoA)');
LEGEND_ALGEBRAIC(:,41) = strpad('i_CaP in component sarcolemmal_calcium_pump_current (picoA)');
LEGEND_ALGEBRAIC(:,42) = strpad('i_NaCa in component Na_Ca_ion_exchanger_current (picoA)');
LEGEND_ALGEBRAIC(:,1) = strpad('i_Stim in component membrane (picoA)');
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 (picoA)');
LEGEND_ALGEBRAIC(:,13) = strpad('E_Na in component sodium_current (millivolt)');
LEGEND_CONSTANTS(:,10) = strpad('P_Na in component sodium_current (nanolitre_per_second)');
LEGEND_STATES(:,2) = strpad('Na_c in component cleft_space_ion_concentrations (millimolar)');
LEGEND_STATES(:,3) = strpad('Na_i in component intracellular_ion_concentrations (millimolar)');
LEGEND_STATES(:,4) = strpad('m in component sodium_current_m_gate (dimensionless)');
LEGEND_STATES(:,5) = strpad('h1 in component sodium_current_h1_gate (dimensionless)');
LEGEND_STATES(:,6) = strpad('h2 in component sodium_current_h2_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,2) = strpad('m_infinity in component sodium_current_m_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,14) = strpad('tau_m in component sodium_current_m_gate (second)');
LEGEND_ALGEBRAIC(:,3) = strpad('h_infinity in component sodium_current_h1_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,15) = strpad('tau_h1 in component sodium_current_h1_gate (second)');
LEGEND_ALGEBRAIC(:,16) = strpad('tau_h2 in component sodium_current_h2_gate (second)');
LEGEND_CONSTANTS(:,11) = strpad('g_Ca_L in component L_type_Ca_channel (nanoS)');
LEGEND_CONSTANTS(:,12) = strpad('E_Ca_app in component L_type_Ca_channel (millivolt)');
LEGEND_ALGEBRAIC(:,28) = strpad('f_Ca in component L_type_Ca_channel (dimensionless)');
LEGEND_CONSTANTS(:,13) = strpad('k_Ca in component L_type_Ca_channel (millimolar)');
LEGEND_STATES(:,7) = strpad('Ca_d in component intracellular_ion_concentrations (millimolar)');
LEGEND_STATES(:,8) = strpad('d_L in component L_type_Ca_channel_d_L_gate (dimensionless)');
LEGEND_STATES(:,9) = strpad('f_L_1 in component L_type_Ca_channel_f_L1_gate (dimensionless)');
LEGEND_STATES(:,10) = strpad('f_L_2 in component L_type_Ca_channel_f_L2_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,4) = strpad('d_L_infinity in component L_type_Ca_channel_d_L_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,17) = strpad('tau_d_L in component L_type_Ca_channel_d_L_gate (second)');
LEGEND_ALGEBRAIC(:,5) = strpad('f_L_infinity in component L_type_Ca_channel_f_L1_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,18) = strpad('tau_f_L1 in component L_type_Ca_channel_f_L1_gate (second)');
LEGEND_ALGEBRAIC(:,19) = strpad('tau_f_L2 in component L_type_Ca_channel_f_L2_gate (second)');
LEGEND_ALGEBRAIC(:,30) = strpad('E_K in component Ca_independent_transient_outward_K_current (millivolt)');
LEGEND_CONSTANTS(:,14) = strpad('g_t in component Ca_independent_transient_outward_K_current (nanoS)');
LEGEND_STATES(:,11) = strpad('K_c in component cleft_space_ion_concentrations (millimolar)');
LEGEND_STATES(:,12) = strpad('K_i in component intracellular_ion_concentrations (millimolar)');
LEGEND_STATES(:,13) = strpad('r in component Ca_independent_transient_outward_K_current_r_gate (dimensionless)');
LEGEND_STATES(:,14) = strpad('s in component Ca_independent_transient_outward_K_current_s_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,20) = strpad('tau_r in component Ca_independent_transient_outward_K_current_r_gate (second)');
LEGEND_ALGEBRAIC(:,6) = strpad('r_infinity in component Ca_independent_transient_outward_K_current_r_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,21) = strpad('tau_s in component Ca_independent_transient_outward_K_current_s_gate (second)');
LEGEND_ALGEBRAIC(:,7) = strpad('s_infinity in component Ca_independent_transient_outward_K_current_s_gate (dimensionless)');
LEGEND_CONSTANTS(:,15) = strpad('g_sus in component sustained_outward_K_current (nanoS)');
LEGEND_STATES(:,15) = strpad('r_sus in component sustained_outward_K_current_r_sus_gate (dimensionless)');
LEGEND_STATES(:,16) = strpad('s_sus in component sustained_outward_K_current_s_sus_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,22) = strpad('tau_r_sus in component sustained_outward_K_current_r_sus_gate (second)');
LEGEND_ALGEBRAIC(:,8) = strpad('r_sus_infinity in component sustained_outward_K_current_r_sus_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,23) = strpad('tau_s_sus in component sustained_outward_K_current_s_sus_gate (second)');
LEGEND_ALGEBRAIC(:,9) = strpad('s_sus_infinity in component sustained_outward_K_current_s_sus_gate (dimensionless)');
LEGEND_CONSTANTS(:,16) = strpad('g_Ks in component delayed_rectifier_K_currents (nanoS)');
LEGEND_CONSTANTS(:,17) = strpad('g_Kr in component delayed_rectifier_K_currents (nanoS)');
LEGEND_STATES(:,17) = strpad('n in component delayed_rectifier_K_currents_n_gate (dimensionless)');
LEGEND_STATES(:,18) = strpad('p_a in component delayed_rectifier_K_currents_pa_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,34) = strpad('p_i in component delayed_rectifier_K_currents_pi_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,24) = strpad('tau_n in component delayed_rectifier_K_currents_n_gate (second)');
LEGEND_ALGEBRAIC(:,10) = strpad('n_infinity in component delayed_rectifier_K_currents_n_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,25) = strpad('tau_p_a in component delayed_rectifier_K_currents_pa_gate (second)');
LEGEND_ALGEBRAIC(:,11) = strpad('p_a_infinity in component delayed_rectifier_K_currents_pa_gate (dimensionless)');
LEGEND_CONSTANTS(:,18) = strpad('g_K1 in component inward_rectifier (nanoS)');
LEGEND_CONSTANTS(:,19) = strpad('g_B_Na in component background_currents (nanoS)');
LEGEND_CONSTANTS(:,20) = strpad('g_B_Ca in component background_currents (nanoS)');
LEGEND_ALGEBRAIC(:,38) = strpad('E_Ca in component background_currents (millivolt)');
LEGEND_STATES(:,19) = strpad('Ca_c in component cleft_space_ion_concentrations (millimolar)');
LEGEND_STATES(:,20) = strpad('Ca_i in component intracellular_ion_concentrations (millimolar)');
LEGEND_CONSTANTS(:,21) = strpad('k_NaK_K in component sodium_potassium_pump (millimolar)');
LEGEND_CONSTANTS(:,22) = strpad('k_NaK_Na in component sodium_potassium_pump (millimolar)');
LEGEND_CONSTANTS(:,23) = strpad('i_NaK_max in component sodium_potassium_pump (picoA)');
LEGEND_CONSTANTS(:,24) = strpad('i_CaP_max in component sarcolemmal_calcium_pump_current (picoA)');
LEGEND_CONSTANTS(:,25) = strpad('k_CaP in component sarcolemmal_calcium_pump_current (millimolar)');
LEGEND_CONSTANTS(:,26) = strpad('k_NaCa in component Na_Ca_ion_exchanger_current (picoA_per_millimolar_4)');
LEGEND_CONSTANTS(:,27) = strpad('d_NaCa in component Na_Ca_ion_exchanger_current (per_millimolar_4)');
LEGEND_CONSTANTS(:,28) = strpad('gamma in component Na_Ca_ion_exchanger_current (dimensionless)');
LEGEND_CONSTANTS(:,29) = strpad('phi_Na_en in component intracellular_ion_concentrations (picoA)');
LEGEND_CONSTANTS(:,30) = strpad('Vol_i in component intracellular_ion_concentrations (nanolitre)');
LEGEND_CONSTANTS(:,50) = strpad('Vol_d in component intracellular_ion_concentrations (nanolitre)');
LEGEND_ALGEBRAIC(:,43) = strpad('i_di in component intracellular_ion_concentrations (picoA)');
LEGEND_CONSTANTS(:,31) = strpad('tau_di in component intracellular_ion_concentrations (second)');
LEGEND_ALGEBRAIC(:,47) = strpad('i_up in component Ca_handling_by_the_SR (picoA)');
LEGEND_ALGEBRAIC(:,49) = strpad('i_rel in component Ca_handling_by_the_SR (picoA)');
LEGEND_ALGEBRAIC(:,44) = strpad('dOCdt in component intracellular_Ca_buffering (per_second)');
LEGEND_ALGEBRAIC(:,45) = strpad('dOTCdt in component intracellular_Ca_buffering (per_second)');
LEGEND_ALGEBRAIC(:,46) = strpad('dOTMgCdt in component intracellular_Ca_buffering (per_second)');
LEGEND_STATES(:,21) = strpad('O_C in component intracellular_Ca_buffering (dimensionless)');
LEGEND_STATES(:,22) = strpad('O_TC in component intracellular_Ca_buffering (dimensionless)');
LEGEND_STATES(:,23) = strpad('O_TMgC in component intracellular_Ca_buffering (dimensionless)');
LEGEND_STATES(:,24) = strpad('O_TMgMg in component intracellular_Ca_buffering (dimensionless)');
LEGEND_CONSTANTS(:,32) = strpad('Mg_i in component intracellular_Ca_buffering (millimolar)');
LEGEND_CONSTANTS(:,51) = strpad('Vol_c in component cleft_space_ion_concentrations (nanolitre)');
LEGEND_CONSTANTS(:,33) = strpad('tau_Na in component cleft_space_ion_concentrations (second)');
LEGEND_CONSTANTS(:,34) = strpad('tau_K in component cleft_space_ion_concentrations (second)');
LEGEND_CONSTANTS(:,35) = strpad('tau_Ca in component cleft_space_ion_concentrations (second)');
LEGEND_CONSTANTS(:,36) = strpad('Na_b in component cleft_space_ion_concentrations (millimolar)');
LEGEND_CONSTANTS(:,37) = strpad('Ca_b in component cleft_space_ion_concentrations (millimolar)');
LEGEND_CONSTANTS(:,38) = strpad('K_b in component cleft_space_ion_concentrations (millimolar)');
LEGEND_ALGEBRAIC(:,48) = strpad('i_tr in component Ca_handling_by_the_SR (picoA)');
LEGEND_CONSTANTS(:,39) = strpad('I_up_max in component Ca_handling_by_the_SR (picoA)');
LEGEND_CONSTANTS(:,40) = strpad('k_cyca in component Ca_handling_by_the_SR (millimolar)');
LEGEND_CONSTANTS(:,41) = strpad('k_srca in component Ca_handling_by_the_SR (millimolar)');
LEGEND_CONSTANTS(:,42) = strpad('k_xcs in component Ca_handling_by_the_SR (dimensionless)');
LEGEND_CONSTANTS(:,43) = strpad('alpha_rel in component Ca_handling_by_the_SR (picoA_per_millimolar)');
LEGEND_STATES(:,25) = strpad('Ca_rel in component Ca_handling_by_the_SR (millimolar)');
LEGEND_STATES(:,26) = strpad('Ca_up in component Ca_handling_by_the_SR (millimolar)');
LEGEND_CONSTANTS(:,44) = strpad('Vol_up in component Ca_handling_by_the_SR (nanolitre)');
LEGEND_CONSTANTS(:,45) = strpad('Vol_rel in component Ca_handling_by_the_SR (nanolitre)');
LEGEND_ALGEBRAIC(:,12) = strpad('r_act in component Ca_handling_by_the_SR (per_second)');
LEGEND_ALGEBRAIC(:,26) = strpad('r_inact in component Ca_handling_by_the_SR (per_second)');
LEGEND_CONSTANTS(:,46) = strpad('r_recov in component Ca_handling_by_the_SR (per_second)');
LEGEND_STATES(:,27) = strpad('O_Calse in component Ca_handling_by_the_SR (dimensionless)');
LEGEND_STATES(:,28) = strpad('F1 in component Ca_handling_by_the_SR (dimensionless)');
LEGEND_STATES(:,29) = strpad('F2 in component Ca_handling_by_the_SR (dimensionless)');
LEGEND_CONSTANTS(:,47) = strpad('tau_tr in component Ca_handling_by_the_SR (second)');
LEGEND_CONSTANTS(:,48) = strpad('k_rel_i in component Ca_handling_by_the_SR (millimolar)');
LEGEND_CONSTANTS(:,49) = strpad('k_rel_d in component Ca_handling_by_the_SR (millimolar)');
LEGEND_RATES(:,1) = strpad('d/dt V in component membrane (millivolt)');
LEGEND_RATES(:,4) = strpad('d/dt m in component sodium_current_m_gate (dimensionless)');
LEGEND_RATES(:,5) = strpad('d/dt h1 in component sodium_current_h1_gate (dimensionless)');
LEGEND_RATES(:,6) = strpad('d/dt h2 in component sodium_current_h2_gate (dimensionless)');
LEGEND_RATES(:,8) = strpad('d/dt d_L in component L_type_Ca_channel_d_L_gate (dimensionless)');
LEGEND_RATES(:,9) = strpad('d/dt f_L_1 in component L_type_Ca_channel_f_L1_gate (dimensionless)');
LEGEND_RATES(:,10) = strpad('d/dt f_L_2 in component L_type_Ca_channel_f_L2_gate (dimensionless)');
LEGEND_RATES(:,13) = strpad('d/dt r in component Ca_independent_transient_outward_K_current_r_gate (dimensionless)');
LEGEND_RATES(:,14) = strpad('d/dt s in component Ca_independent_transient_outward_K_current_s_gate (dimensionless)');
LEGEND_RATES(:,15) = strpad('d/dt r_sus in component sustained_outward_K_current_r_sus_gate (dimensionless)');
LEGEND_RATES(:,16) = strpad('d/dt s_sus in component sustained_outward_K_current_s_sus_gate (dimensionless)');
LEGEND_RATES(:,17) = strpad('d/dt n in component delayed_rectifier_K_currents_n_gate (dimensionless)');
LEGEND_RATES(:,18) = strpad('d/dt p_a in component delayed_rectifier_K_currents_pa_gate (dimensionless)');
LEGEND_RATES(:,3) = strpad('d/dt Na_i in component intracellular_ion_concentrations (millimolar)');
LEGEND_RATES(:,12) = strpad('d/dt K_i in component intracellular_ion_concentrations (millimolar)');
LEGEND_RATES(:,20) = strpad('d/dt Ca_i in component intracellular_ion_concentrations (millimolar)');
LEGEND_RATES(:,7) = strpad('d/dt Ca_d in component intracellular_ion_concentrations (millimolar)');
LEGEND_RATES(:,21) = strpad('d/dt O_C in component intracellular_Ca_buffering (dimensionless)');
LEGEND_RATES(:,22) = strpad('d/dt O_TC in component intracellular_Ca_buffering (dimensionless)');
LEGEND_RATES(:,23) = strpad('d/dt O_TMgC in component intracellular_Ca_buffering (dimensionless)');
LEGEND_RATES(:,24) = strpad('d/dt O_TMgMg in component intracellular_Ca_buffering (dimensionless)');
LEGEND_RATES(:,2) = strpad('d/dt Na_c in component cleft_space_ion_concentrations (millimolar)');
LEGEND_RATES(:,11) = strpad('d/dt K_c in component cleft_space_ion_concentrations (millimolar)');
LEGEND_RATES(:,19) = strpad('d/dt Ca_c in component cleft_space_ion_concentrations (millimolar)');
LEGEND_RATES(:,27) = strpad('d/dt O_Calse in component Ca_handling_by_the_SR (dimensionless)');
LEGEND_RATES(:,25) = strpad('d/dt Ca_rel in component Ca_handling_by_the_SR (millimolar)');
LEGEND_RATES(:,26) = strpad('d/dt Ca_up in component Ca_handling_by_the_SR (millimolar)');
LEGEND_RATES(:,28) = strpad('d/dt F1 in component Ca_handling_by_the_SR (dimensionless)');
LEGEND_RATES(:,29) = strpad('d/dt F2 in component Ca_handling_by_the_SR (dimensionless)');
LEGEND_STATES = LEGEND_STATES';
LEGEND_ALGEBRAIC = LEGEND_ALGEBRAIC';
LEGEND_RATES = LEGEND_RATES';
LEGEND_CONSTANTS = LEGEND_CONSTANTS';
end
function [STATES, CONSTANTS] = initConsts()
VOI = 0; CONSTANTS = []; STATES = []; ALGEBRAIC = [];
STATES(:,1) = -74.2525;
CONSTANTS(:,1) = 8314;
CONSTANTS(:,2) = 306.15;
CONSTANTS(:,3) = 96487;
CONSTANTS(:,4) = 0.05;
CONSTANTS(:,5) = 0.1;
CONSTANTS(:,6) = 100000000;
CONSTANTS(:,7) = 1;
CONSTANTS(:,8) = 0.006;
CONSTANTS(:,9) = -280;
CONSTANTS(:,10) = 0.0016;
STATES(:,2) = 130.011;
STATES(:,3) = 8.5547;
STATES(:,4) = 0.0032017;
STATES(:,5) = 0.8814;
STATES(:,6) = 0.8742;
CONSTANTS(:,11) = 6.75;
CONSTANTS(:,12) = 60;
CONSTANTS(:,13) = 0.025;
STATES(:,7) = 7.2495e-5;
STATES(:,8) = 1.3005e-5;
STATES(:,9) = 0.9986;
STATES(:,10) = 0.9986;
CONSTANTS(:,14) = 7.5;
STATES(:,11) = 5.3581;
STATES(:,12) = 129.435;
STATES(:,13) = 0.0010678;
STATES(:,14) = 0.949;
CONSTANTS(:,15) = 2.75;
STATES(:,15) = 0.00015949;
STATES(:,16) = 0.9912;
CONSTANTS(:,16) = 1;
CONSTANTS(:,17) = 0.5;
STATES(:,17) = 0.0048357;
STATES(:,18) = 0.0001;
CONSTANTS(:,18) = 3;
CONSTANTS(:,19) = 0.060599;
CONSTANTS(:,20) = 0.078681;
STATES(:,19) = 1.8147;
STATES(:,20) = 6.729e-5;
CONSTANTS(:,21) = 1;
CONSTANTS(:,22) = 11;
CONSTANTS(:,23) = 70.8253;
CONSTANTS(:,24) = 4;
CONSTANTS(:,25) = 0.0002;
CONSTANTS(:,26) = 0.0374842;
CONSTANTS(:,27) = 0.0003;
CONSTANTS(:,28) = 0.45;
CONSTANTS(:,29) = -1.68;
CONSTANTS(:,30) = 0.005884;
CONSTANTS(:,31) = 0.01;
STATES(:,21) = 0.0275;
STATES(:,22) = 0.0133;
STATES(:,23) = 0.1961;
STATES(:,24) = 0.7094;
CONSTANTS(:,32) = 2.5;
CONSTANTS(:,33) = 14.3;
CONSTANTS(:,34) = 10;
CONSTANTS(:,35) = 24.7;
CONSTANTS(:,36) = 130;
CONSTANTS(:,37) = 1.8;
CONSTANTS(:,38) = 5.4;
CONSTANTS(:,39) = 2800;
CONSTANTS(:,40) = 0.0003;
CONSTANTS(:,41) = 0.5;
CONSTANTS(:,42) = 0.4;
CONSTANTS(:,43) = 200000;
STATES(:,25) = 0.6465;
STATES(:,26) = 0.6646;
CONSTANTS(:,44) = 0.0003969;
CONSTANTS(:,45) = 4.41e-5;
CONSTANTS(:,46) = 0.815;
STATES(:,27) = 0.4369;
STATES(:,28) = 0.4284;
STATES(:,29) = 0.0028;
CONSTANTS(:,47) = 0.01;
CONSTANTS(:,48) = 0.0003;
CONSTANTS(:,49) = 0.003;
CONSTANTS(:,50) = 0.0200000.*CONSTANTS(:,30);
CONSTANTS(:,51) = 0.136000.*CONSTANTS(:,30);
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(:,24) = 2000.00.*CONSTANTS(:,32).*((1.00000 - STATES(:,23)) - STATES(:,24)) - 666.000.*STATES(:,24);
ALGEBRAIC(:,12) = 203.800.*(power(STATES(:,20)./(STATES(:,20)+CONSTANTS(:,48)), 4.00000)+power(STATES(:,7)./(STATES(:,7)+CONSTANTS(:,49)), 4.00000));
RATES(:,28) = CONSTANTS(:,46).*((1.00000 - STATES(:,28)) - STATES(:,29)) - ALGEBRAIC(:,12).*STATES(:,28);
ALGEBRAIC(:,2) = 1.00000./(1.00000+exp((STATES(:,1)+27.1200)./ - 8.21000));
ALGEBRAIC(:,14) = 4.20000e-05.*exp( - power((STATES(:,1)+25.5700)./28.8000, 2.00000))+2.40000e-05;
RATES(:,4) = (ALGEBRAIC(:,2) - STATES(:,4))./ALGEBRAIC(:,14);
ALGEBRAIC(:,3) = 1.00000./(1.00000+exp((STATES(:,1)+63.6000)./5.30000));
ALGEBRAIC(:,15) = 0.0300000./(1.00000+exp((STATES(:,1)+35.1000)./3.20000))+0.000300000;
RATES(:,5) = (ALGEBRAIC(:,3) - STATES(:,5))./ALGEBRAIC(:,15);
ALGEBRAIC(:,16) = 0.120000./(1.00000+exp((STATES(:,1)+35.1000)./3.20000))+0.00300000;
RATES(:,6) = (ALGEBRAIC(:,3) - STATES(:,6))./ALGEBRAIC(:,16);
ALGEBRAIC(:,4) = 1.00000./(1.00000+exp((STATES(:,1)+9.00000)./ - 5.80000));
ALGEBRAIC(:,17) = 0.00270000.*exp( - power((STATES(:,1)+35.0000)./30.0000, 2.00000))+0.00200000;
RATES(:,8) = (ALGEBRAIC(:,4) - STATES(:,8))./ALGEBRAIC(:,17);
ALGEBRAIC(:,5) = 1.00000./(1.00000+exp((STATES(:,1)+27.4000)./7.10000));
ALGEBRAIC(:,18) = 0.161000.*exp( - power((STATES(:,1)+40.0000)./14.4000, 2.00000))+0.0100000;
RATES(:,9) = (ALGEBRAIC(:,5) - STATES(:,9))./ALGEBRAIC(:,18);
ALGEBRAIC(:,19) = 1.33230.*exp( - power((STATES(:,1)+40.0000)./14.2000, 2.00000))+0.0626000;
RATES(:,10) = (ALGEBRAIC(:,5) - STATES(:,10))./ALGEBRAIC(:,19);
ALGEBRAIC(:,20) = 0.00350000.*exp( - power(STATES(:,1)./30.0000, 2.00000))+0.00150000;
ALGEBRAIC(:,6) = 1.00000./(1.00000+exp((STATES(:,1) - 1.00000)./ - 11.0000));
RATES(:,13) = (ALGEBRAIC(:,6) - STATES(:,13))./ALGEBRAIC(:,20);
ALGEBRAIC(:,21) = 0.481200.*exp( - power((STATES(:,1)+52.4500)./14.9700, 2.00000))+0.0141400;
ALGEBRAIC(:,7) = 1.00000./(1.00000+exp((STATES(:,1)+40.5000)./11.5000));
RATES(:,14) = (ALGEBRAIC(:,7) - STATES(:,14))./ALGEBRAIC(:,21);
ALGEBRAIC(:,22) = 0.00900000./(1.00000+exp((STATES(:,1)+5.00000)./12.0000))+0.000500000;
ALGEBRAIC(:,8) = 1.00000./(1.00000+exp((STATES(:,1)+4.30000)./ - 8.00000));
RATES(:,15) = (ALGEBRAIC(:,8) - STATES(:,15))./ALGEBRAIC(:,22);
ALGEBRAIC(:,23) = 0.0470000./(1.00000+exp((STATES(:,1)+60.0000)./10.0000))+0.300000;
ALGEBRAIC(:,9) = 0.400000./(1.00000+exp((STATES(:,1)+20.0000)./10.0000))+0.600000;
RATES(:,16) = (ALGEBRAIC(:,9) - STATES(:,16))./ALGEBRAIC(:,23);
ALGEBRAIC(:,24) = 0.700000+ 0.400000.*exp( - power((STATES(:,1) - 20.0000)./20.0000, 2.00000));
ALGEBRAIC(:,10) = 1.00000./(1.00000+exp((STATES(:,1) - 19.9000)./ - 12.7000));
RATES(:,17) = (ALGEBRAIC(:,10) - STATES(:,17))./ALGEBRAIC(:,24);
ALGEBRAIC(:,25) = 0.0311800+ 0.217180.*exp( - power((STATES(:,1)+20.1376)./22.1996, 2.00000));
ALGEBRAIC(:,11) = 1.00000./(1.00000+exp((STATES(:,1)+15.0000)./ - 6.00000));
RATES(:,18) = (ALGEBRAIC(:,11) - STATES(:,18))./ALGEBRAIC(:,25);
ALGEBRAIC(:,26) = 33.9600+ 339.600.*power(STATES(:,20)./(STATES(:,20)+CONSTANTS(:,48)), 4.00000);
RATES(:,29) = ALGEBRAIC(:,12).*STATES(:,28) - ALGEBRAIC(:,26).*STATES(:,29);
ALGEBRAIC(:,30) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(STATES(:,11)./STATES(:,12));
ALGEBRAIC(:,31) = CONSTANTS(:,14).*STATES(:,13).*STATES(:,14).*(STATES(:,1) - ALGEBRAIC(:,30));
ALGEBRAIC(:,32) = CONSTANTS(:,15).*STATES(:,15).*STATES(:,16).*(STATES(:,1) - ALGEBRAIC(:,30));
ALGEBRAIC(:,36) = ( CONSTANTS(:,18).*power(STATES(:,11)./1.00000, 0.445700).*(STATES(:,1) - ALGEBRAIC(:,30)))./(1.00000+exp(( 1.50000.*((STATES(:,1) - ALGEBRAIC(:,30))+3.60000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,34) = 1.00000./(1.00000+exp((STATES(:,1)+55.0000)./24.0000));
ALGEBRAIC(:,35) = CONSTANTS(:,17).*STATES(:,18).*ALGEBRAIC(:,34).*(STATES(:,1) - ALGEBRAIC(:,30));
ALGEBRAIC(:,33) = CONSTANTS(:,16).*STATES(:,17).*(STATES(:,1) - ALGEBRAIC(:,30));
ALGEBRAIC(:,40) = ( (( (( CONSTANTS(:,23).*STATES(:,11))./(STATES(:,11)+CONSTANTS(:,21))).*power(STATES(:,3), 1.50000))./(power(STATES(:,3), 1.50000)+power(CONSTANTS(:,22), 1.50000))).*(STATES(:,1)+150.000))./(STATES(:,1)+200.000);
RATES(:,12) = - ((ALGEBRAIC(:,31)+ALGEBRAIC(:,32)+ALGEBRAIC(:,36)+ALGEBRAIC(:,35)+ALGEBRAIC(:,33)) - 2.00000.*ALGEBRAIC(:,40))./( CONSTANTS(:,30).*CONSTANTS(:,3));
RATES(:,11) = (CONSTANTS(:,38) - STATES(:,11))./CONSTANTS(:,34)+((ALGEBRAIC(:,31)+ALGEBRAIC(:,32)+ALGEBRAIC(:,36)+ALGEBRAIC(:,35)+ALGEBRAIC(:,33)) - 2.00000.*ALGEBRAIC(:,40))./( CONSTANTS(:,51).*CONSTANTS(:,3));
ALGEBRAIC(:,13) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(STATES(:,2)./STATES(:,3));
ALGEBRAIC(:,27) = ( (( CONSTANTS(:,10).*power(STATES(:,4), 3.00000).*( 0.900000.*STATES(:,5)+ 0.100000.*STATES(:,6)).*STATES(:,2).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*(exp(( (STATES(:,1) - ALGEBRAIC(:,13)).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000))./(exp(( STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000);
ALGEBRAIC(:,28) = STATES(:,7)./(STATES(:,7)+CONSTANTS(:,13));
ALGEBRAIC(:,29) = CONSTANTS(:,11).*STATES(:,8).*( ALGEBRAIC(:,28).*STATES(:,9)+ (1.00000 - ALGEBRAIC(:,28)).*STATES(:,10)).*(STATES(:,1) - CONSTANTS(:,12));
ALGEBRAIC(:,37) = CONSTANTS(:,19).*(STATES(:,1) - ALGEBRAIC(:,13));
ALGEBRAIC(:,38) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./( 2.00000.*CONSTANTS(:,3))).*log(STATES(:,19)./STATES(:,20));
ALGEBRAIC(:,39) = CONSTANTS(:,20).*(STATES(:,1) - ALGEBRAIC(:,38));
ALGEBRAIC(:,41) = ( CONSTANTS(:,24).*STATES(:,20))./(STATES(:,20)+CONSTANTS(:,25));
ALGEBRAIC(:,42) = ( CONSTANTS(:,26).*( power(STATES(:,3), 3.00000).*STATES(:,19).*exp(( CONSTANTS(:,28).*CONSTANTS(:,3).*STATES(:,1))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - power(STATES(:,2), 3.00000).*STATES(:,20).*exp(( (CONSTANTS(:,28) - 1.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))))./(1.00000+ CONSTANTS(:,27).*( power(STATES(:,2), 3.00000).*STATES(:,20)+ power(STATES(:,3), 3.00000).*STATES(:,19)));
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);
RATES(:,1) = ( - 1.00000./CONSTANTS(:,4)).*(ALGEBRAIC(:,1)+ALGEBRAIC(:,27)+ALGEBRAIC(:,29)+ALGEBRAIC(:,31)+ALGEBRAIC(:,32)+ALGEBRAIC(:,36)+ALGEBRAIC(:,35)+ALGEBRAIC(:,33)+ALGEBRAIC(:,37)+ALGEBRAIC(:,39)+ALGEBRAIC(:,40)+ALGEBRAIC(:,41)+ALGEBRAIC(:,42));
RATES(:,3) = - (ALGEBRAIC(:,27)+ALGEBRAIC(:,37)+ 3.00000.*ALGEBRAIC(:,40)+ 3.00000.*ALGEBRAIC(:,42)+CONSTANTS(:,29))./( CONSTANTS(:,30).*CONSTANTS(:,3));
RATES(:,2) = (CONSTANTS(:,36) - STATES(:,2))./CONSTANTS(:,33)+(ALGEBRAIC(:,27)+ALGEBRAIC(:,37)+ 3.00000.*ALGEBRAIC(:,40)+ 3.00000.*ALGEBRAIC(:,42)+CONSTANTS(:,29))./( CONSTANTS(:,51).*CONSTANTS(:,3));
RATES(:,19) = (CONSTANTS(:,37) - STATES(:,19))./CONSTANTS(:,35)+((ALGEBRAIC(:,29)+ALGEBRAIC(:,39)+ALGEBRAIC(:,41)) - 2.00000.*ALGEBRAIC(:,42))./( 2.00000.*CONSTANTS(:,51).*CONSTANTS(:,3));
RATES(:,21) = 200000..*STATES(:,20).*(1.00000 - STATES(:,21)) - 476.000.*STATES(:,21);
ALGEBRAIC(:,43) = ( (STATES(:,7) - STATES(:,20)).*2.00000.*CONSTANTS(:,3).*CONSTANTS(:,50))./CONSTANTS(:,31);
RATES(:,7) = - (ALGEBRAIC(:,29)+ALGEBRAIC(:,43))./( 2.00000.*CONSTANTS(:,50).*CONSTANTS(:,3));
RATES(:,22) = 78400.0.*STATES(:,20).*(1.00000 - STATES(:,22)) - 392.000.*STATES(:,22);
RATES(:,23) = 200000..*STATES(:,20).*((1.00000 - STATES(:,23)) - STATES(:,24)) - 6.60000.*STATES(:,23);
ALGEBRAIC(:,47) = ( CONSTANTS(:,39).*(STATES(:,20)./CONSTANTS(:,40) - ( power(CONSTANTS(:,42), 2.00000).*STATES(:,26))./CONSTANTS(:,41)))./((STATES(:,20)+CONSTANTS(:,40))./CONSTANTS(:,40)+( CONSTANTS(:,42).*(STATES(:,26)+CONSTANTS(:,41)))./CONSTANTS(:,41));
ALGEBRAIC(:,48) = ( (STATES(:,26) - STATES(:,25)).*2.00000.*CONSTANTS(:,3).*CONSTANTS(:,45))./CONSTANTS(:,47);
RATES(:,26) = (ALGEBRAIC(:,47) - ALGEBRAIC(:,48))./( 2.00000.*CONSTANTS(:,44).*CONSTANTS(:,3));
ALGEBRAIC(:,49) = CONSTANTS(:,43).*power(STATES(:,29)./(STATES(:,29)+0.250000), 2.00000).*(STATES(:,25) - STATES(:,20));
ALGEBRAIC(:,44) = RATES(:,21);
ALGEBRAIC(:,45) = RATES(:,22);
ALGEBRAIC(:,46) = RATES(:,23);
RATES(:,20) = - (((( - ALGEBRAIC(:,43)+ALGEBRAIC(:,39)+ALGEBRAIC(:,41)) - 2.00000.*ALGEBRAIC(:,42))+ALGEBRAIC(:,47)) - ALGEBRAIC(:,49))./( 2.00000.*CONSTANTS(:,30).*CONSTANTS(:,3)) - ( 0.0800000.*ALGEBRAIC(:,45)+ 0.160000.*ALGEBRAIC(:,46)+ 0.0450000.*ALGEBRAIC(:,44));
RATES(:,27) = 480.000.*STATES(:,25).*(1.00000 - STATES(:,27)) - 400.000.*STATES(:,27);
RATES(:,25) = (ALGEBRAIC(:,48) - ALGEBRAIC(:,49))./( 2.00000.*CONSTANTS(:,45).*CONSTANTS(:,3)) - 31.0000.*RATES(:,27);
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(:,12) = 203.800.*(power(STATES(:,20)./(STATES(:,20)+CONSTANTS(:,48)), 4.00000)+power(STATES(:,7)./(STATES(:,7)+CONSTANTS(:,49)), 4.00000));
ALGEBRAIC(:,2) = 1.00000./(1.00000+exp((STATES(:,1)+27.1200)./ - 8.21000));
ALGEBRAIC(:,14) = 4.20000e-05.*exp( - power((STATES(:,1)+25.5700)./28.8000, 2.00000))+2.40000e-05;
ALGEBRAIC(:,3) = 1.00000./(1.00000+exp((STATES(:,1)+63.6000)./5.30000));
ALGEBRAIC(:,15) = 0.0300000./(1.00000+exp((STATES(:,1)+35.1000)./3.20000))+0.000300000;
ALGEBRAIC(:,16) = 0.120000./(1.00000+exp((STATES(:,1)+35.1000)./3.20000))+0.00300000;
ALGEBRAIC(:,4) = 1.00000./(1.00000+exp((STATES(:,1)+9.00000)./ - 5.80000));
ALGEBRAIC(:,17) = 0.00270000.*exp( - power((STATES(:,1)+35.0000)./30.0000, 2.00000))+0.00200000;
ALGEBRAIC(:,5) = 1.00000./(1.00000+exp((STATES(:,1)+27.4000)./7.10000));
ALGEBRAIC(:,18) = 0.161000.*exp( - power((STATES(:,1)+40.0000)./14.4000, 2.00000))+0.0100000;
ALGEBRAIC(:,19) = 1.33230.*exp( - power((STATES(:,1)+40.0000)./14.2000, 2.00000))+0.0626000;
ALGEBRAIC(:,20) = 0.00350000.*exp( - power(STATES(:,1)./30.0000, 2.00000))+0.00150000;
ALGEBRAIC(:,6) = 1.00000./(1.00000+exp((STATES(:,1) - 1.00000)./ - 11.0000));
ALGEBRAIC(:,21) = 0.481200.*exp( - power((STATES(:,1)+52.4500)./14.9700, 2.00000))+0.0141400;
ALGEBRAIC(:,7) = 1.00000./(1.00000+exp((STATES(:,1)+40.5000)./11.5000));
ALGEBRAIC(:,22) = 0.00900000./(1.00000+exp((STATES(:,1)+5.00000)./12.0000))+0.000500000;
ALGEBRAIC(:,8) = 1.00000./(1.00000+exp((STATES(:,1)+4.30000)./ - 8.00000));
ALGEBRAIC(:,23) = 0.0470000./(1.00000+exp((STATES(:,1)+60.0000)./10.0000))+0.300000;
ALGEBRAIC(:,9) = 0.400000./(1.00000+exp((STATES(:,1)+20.0000)./10.0000))+0.600000;
ALGEBRAIC(:,24) = 0.700000+ 0.400000.*exp( - power((STATES(:,1) - 20.0000)./20.0000, 2.00000));
ALGEBRAIC(:,10) = 1.00000./(1.00000+exp((STATES(:,1) - 19.9000)./ - 12.7000));
ALGEBRAIC(:,25) = 0.0311800+ 0.217180.*exp( - power((STATES(:,1)+20.1376)./22.1996, 2.00000));
ALGEBRAIC(:,11) = 1.00000./(1.00000+exp((STATES(:,1)+15.0000)./ - 6.00000));
ALGEBRAIC(:,26) = 33.9600+ 339.600.*power(STATES(:,20)./(STATES(:,20)+CONSTANTS(:,48)), 4.00000);
ALGEBRAIC(:,30) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(STATES(:,11)./STATES(:,12));
ALGEBRAIC(:,31) = CONSTANTS(:,14).*STATES(:,13).*STATES(:,14).*(STATES(:,1) - ALGEBRAIC(:,30));
ALGEBRAIC(:,32) = CONSTANTS(:,15).*STATES(:,15).*STATES(:,16).*(STATES(:,1) - ALGEBRAIC(:,30));
ALGEBRAIC(:,36) = ( CONSTANTS(:,18).*power(STATES(:,11)./1.00000, 0.445700).*(STATES(:,1) - ALGEBRAIC(:,30)))./(1.00000+exp(( 1.50000.*((STATES(:,1) - ALGEBRAIC(:,30))+3.60000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,34) = 1.00000./(1.00000+exp((STATES(:,1)+55.0000)./24.0000));
ALGEBRAIC(:,35) = CONSTANTS(:,17).*STATES(:,18).*ALGEBRAIC(:,34).*(STATES(:,1) - ALGEBRAIC(:,30));
ALGEBRAIC(:,33) = CONSTANTS(:,16).*STATES(:,17).*(STATES(:,1) - ALGEBRAIC(:,30));
ALGEBRAIC(:,40) = ( (( (( CONSTANTS(:,23).*STATES(:,11))./(STATES(:,11)+CONSTANTS(:,21))).*power(STATES(:,3), 1.50000))./(power(STATES(:,3), 1.50000)+power(CONSTANTS(:,22), 1.50000))).*(STATES(:,1)+150.000))./(STATES(:,1)+200.000);
ALGEBRAIC(:,13) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(STATES(:,2)./STATES(:,3));
ALGEBRAIC(:,27) = ( (( CONSTANTS(:,10).*power(STATES(:,4), 3.00000).*( 0.900000.*STATES(:,5)+ 0.100000.*STATES(:,6)).*STATES(:,2).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*(exp(( (STATES(:,1) - ALGEBRAIC(:,13)).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000))./(exp(( STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000);
ALGEBRAIC(:,28) = STATES(:,7)./(STATES(:,7)+CONSTANTS(:,13));
ALGEBRAIC(:,29) = CONSTANTS(:,11).*STATES(:,8).*( ALGEBRAIC(:,28).*STATES(:,9)+ (1.00000 - ALGEBRAIC(:,28)).*STATES(:,10)).*(STATES(:,1) - CONSTANTS(:,12));
ALGEBRAIC(:,37) = CONSTANTS(:,19).*(STATES(:,1) - ALGEBRAIC(:,13));
ALGEBRAIC(:,38) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./( 2.00000.*CONSTANTS(:,3))).*log(STATES(:,19)./STATES(:,20));
ALGEBRAIC(:,39) = CONSTANTS(:,20).*(STATES(:,1) - ALGEBRAIC(:,38));
ALGEBRAIC(:,41) = ( CONSTANTS(:,24).*STATES(:,20))./(STATES(:,20)+CONSTANTS(:,25));
ALGEBRAIC(:,42) = ( CONSTANTS(:,26).*( power(STATES(:,3), 3.00000).*STATES(:,19).*exp(( CONSTANTS(:,28).*CONSTANTS(:,3).*STATES(:,1))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - power(STATES(:,2), 3.00000).*STATES(:,20).*exp(( (CONSTANTS(:,28) - 1.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))))./(1.00000+ CONSTANTS(:,27).*( power(STATES(:,2), 3.00000).*STATES(:,20)+ power(STATES(:,3), 3.00000).*STATES(:,19)));
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(:,43) = ( (STATES(:,7) - STATES(:,20)).*2.00000.*CONSTANTS(:,3).*CONSTANTS(:,50))./CONSTANTS(:,31);
ALGEBRAIC(:,47) = ( CONSTANTS(:,39).*(STATES(:,20)./CONSTANTS(:,40) - ( power(CONSTANTS(:,42), 2.00000).*STATES(:,26))./CONSTANTS(:,41)))./((STATES(:,20)+CONSTANTS(:,40))./CONSTANTS(:,40)+( CONSTANTS(:,42).*(STATES(:,26)+CONSTANTS(:,41)))./CONSTANTS(:,41));
ALGEBRAIC(:,48) = ( (STATES(:,26) - STATES(:,25)).*2.00000.*CONSTANTS(:,3).*CONSTANTS(:,45))./CONSTANTS(:,47);
ALGEBRAIC(:,49) = CONSTANTS(:,43).*power(STATES(:,29)./(STATES(:,29)+0.250000), 2.00000).*(STATES(:,25) - STATES(:,20));
ALGEBRAIC(:,44) = RATES(:,21);
ALGEBRAIC(:,45) = RATES(:,22);
ALGEBRAIC(:,46) = RATES(:,23);
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