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 =78;
end
% There are a total of 29 entries in each of the rate and state variable arrays.
% There are a total of 49 entries in the constant variable array.
%
function [VOI, STATES, ALGEBRAIC, CONSTANTS] = solveModel()
% Create ALGEBRAIC of correct size
global algebraicVariableCount; algebraicVariableCount = getAlgebraicVariableCount();
% Initialise constants and state variables
[INIT_STATES, CONSTANTS] = initConsts;
% Set timespan to solve over
tspan = [0, 10];
% Set numerical accuracy options for ODE solver
options = odeset('RelTol', 1e-06, 'AbsTol', 1e-06, 'MaxStep', 1);
% Solve model with ODE solver
[VOI, STATES] = ode15s(@(VOI, STATES)computeRates(VOI, STATES, CONSTANTS), tspan, INIT_STATES, options);
% Compute algebraic variables
[RATES, ALGEBRAIC] = computeRates(VOI, STATES, CONSTANTS);
ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, VOI);
% Plot state variables against variable of integration
[LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends();
figure();
plot(VOI, STATES);
xlabel(LEGEND_VOI);
l = legend(LEGEND_STATES);
set(l,'Interpreter','none');
end
function [LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends()
LEGEND_STATES = ''; LEGEND_ALGEBRAIC = ''; LEGEND_VOI = ''; LEGEND_CONSTANTS = '';
LEGEND_VOI = strpad('time in component environment (second)');
LEGEND_CONSTANTS(:,1) = strpad('CT in component environment (dimensionless)');
LEGEND_CONSTANTS(:,2) = strpad('PM in component environment (dimensionless)');
LEGEND_STATES(:,1) = strpad('V in component membrane (millivolt)');
LEGEND_CONSTANTS(:,3) = strpad('R in component membrane (millijoule_per_mole_kelvin)');
LEGEND_CONSTANTS(:,4) = strpad('T in component membrane (kelvin)');
LEGEND_CONSTANTS(:,5) = strpad('F in component membrane (coulomb_per_mole)');
LEGEND_CONSTANTS(:,6) = strpad('Cm in component membrane (nanoF)');
LEGEND_ALGEBRAIC(:,31) = strpad('i_Na in component sodium_current (picoA)');
LEGEND_ALGEBRAIC(:,53) = strpad('i_Ca_L in component L_type_Ca_channel (picoA)');
LEGEND_ALGEBRAIC(:,58) = strpad('i_Ca_T in component T_type_Ca_channel (picoA)');
LEGEND_ALGEBRAIC(:,62) = strpad('i_to in component Ca_independent_transient_outward_K_current (picoA)');
LEGEND_ALGEBRAIC(:,63) = strpad('i_sus in component Ca_independent_transient_outward_K_current (picoA)');
LEGEND_ALGEBRAIC(:,66) = strpad('i_K1 in component inward_rectifier (picoA)');
LEGEND_ALGEBRAIC(:,65) = strpad('i_Kr in component delayed_rectifier_K_current (picoA)');
LEGEND_ALGEBRAIC(:,64) = strpad('i_Ks in component delayed_rectifier_K_current (picoA)');
LEGEND_ALGEBRAIC(:,68) = strpad('i_B_Na in component background_currents (picoA)');
LEGEND_ALGEBRAIC(:,69) = strpad('i_B_Ca in component background_currents (picoA)');
LEGEND_ALGEBRAIC(:,70) = strpad('i_p in component sodium_potassium_pump (picoA)');
LEGEND_ALGEBRAIC(:,71) = strpad('i_CaP in component sarcolemmal_calcium_pump_current (picoA)');
LEGEND_ALGEBRAIC(:,72) = strpad('i_NaCa in component Na_Ca_ion_exchanger_current (picoA)');
LEGEND_ALGEBRAIC(:,1) = strpad('i_Stim in component membrane (picoA)');
LEGEND_CONSTANTS(:,7) = strpad('stim_start in component membrane (second)');
LEGEND_CONSTANTS(:,8) = strpad('stim_end in component membrane (second)');
LEGEND_CONSTANTS(:,9) = strpad('stim_period in component membrane (second)');
LEGEND_CONSTANTS(:,10) = strpad('stim_duration in component membrane (second)');
LEGEND_CONSTANTS(:,11) = strpad('stim_amplitude in component membrane (picoA)');
LEGEND_ALGEBRAIC(:,16) = strpad('E_Na in component sodium_current (millivolt)');
LEGEND_CONSTANTS(:,12) = strpad('P_Na in component sodium_current (nanolitre_per_second)');
LEGEND_CONSTANTS(:,13) = strpad('Na_c in component cleft_space_ion_concentrations (millimolar)');
LEGEND_STATES(:,2) = strpad('Na_i in component intracellular_ion_concentrations (millimolar)');
LEGEND_STATES(:,3) = strpad('m in component sodium_current_m_gate (dimensionless)');
LEGEND_STATES(:,4) = strpad('h1 in component sodium_current_h1_gate (dimensionless)');
LEGEND_STATES(:,5) = strpad('h2 in component sodium_current_h2_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,2) = strpad('E0_m in component sodium_current_m_gate (millivolt)');
LEGEND_ALGEBRAIC(:,17) = strpad('alpha_m in component sodium_current_m_gate (per_second)');
LEGEND_ALGEBRAIC(:,32) = strpad('beta_m in component sodium_current_m_gate (per_second)');
LEGEND_ALGEBRAIC(:,3) = strpad('alpha_h in component sodium_current_h1_gate (per_second)');
LEGEND_ALGEBRAIC(:,18) = strpad('beta_h in component sodium_current_h1_gate (per_second)');
LEGEND_ALGEBRAIC(:,33) = strpad('h_infinity in component sodium_current_h1_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,43) = strpad('tau_h1 in component sodium_current_h1_gate (second)');
LEGEND_ALGEBRAIC(:,44) = strpad('tau_h2 in component sodium_current_h2_gate (second)');
LEGEND_CONSTANTS(:,14) = strpad('g_Ca_L in component L_type_Ca_channel (nanoS)');
LEGEND_CONSTANTS(:,15) = strpad('E_Ca_app in component L_type_Ca_channel (millivolt)');
LEGEND_ALGEBRAIC(:,42) = strpad('d_prime in component L_type_Ca_channel (dimensionless)');
LEGEND_STATES(:,6) = strpad('d_L in component L_type_Ca_channel_d_L_gate (dimensionless)');
LEGEND_STATES(:,7) = strpad('f_L in component L_type_Ca_channel_f_L_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,4) = strpad('E0_alpha_d_L in component L_type_Ca_channel_d_L_gate (millivolt)');
LEGEND_ALGEBRAIC(:,19) = strpad('E0_beta_d_L in component L_type_Ca_channel_d_L_gate (millivolt)');
LEGEND_ALGEBRAIC(:,34) = strpad('E10 in component L_type_Ca_channel_d_L_gate (millivolt)');
LEGEND_ALGEBRAIC(:,45) = strpad('alpha_d_L in component L_type_Ca_channel_d_L_gate (per_second)');
LEGEND_ALGEBRAIC(:,54) = strpad('beta_d_L in component L_type_Ca_channel_d_L_gate (per_second)');
LEGEND_ALGEBRAIC(:,59) = strpad('d_L_infinity in component L_type_Ca_channel_d_L_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,61) = strpad('tau_d_L in component L_type_Ca_channel_d_L_gate (second)');
LEGEND_ALGEBRAIC(:,5) = strpad('E0_f_L in component L_type_Ca_channel_f_L_gate (millivolt)');
LEGEND_ALGEBRAIC(:,20) = strpad('alpha_f_L in component L_type_Ca_channel_f_L_gate (per_second)');
LEGEND_ALGEBRAIC(:,35) = strpad('beta_f_L in component L_type_Ca_channel_f_L_gate (per_second)');
LEGEND_ALGEBRAIC(:,46) = strpad('f_L_infinity in component L_type_Ca_channel_f_L_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,55) = strpad('tau_f_L in component L_type_Ca_channel_f_L_gate (second)');
LEGEND_CONSTANTS(:,16) = strpad('g_Ca_T in component T_type_Ca_channel (nanoS)');
LEGEND_CONSTANTS(:,17) = strpad('E_Ca_T in component T_type_Ca_channel (millivolt)');
LEGEND_STATES(:,8) = strpad('d_T in component T_type_Ca_channel_d_T_gate (dimensionless)');
LEGEND_STATES(:,9) = strpad('f_T in component T_type_Ca_channel_f_T_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,6) = strpad('E0_d_T in component T_type_Ca_channel_d_T_gate (millivolt)');
LEGEND_ALGEBRAIC(:,21) = strpad('alpha_d_T in component T_type_Ca_channel_d_T_gate (per_second)');
LEGEND_ALGEBRAIC(:,36) = strpad('beta_d_T in component T_type_Ca_channel_d_T_gate (per_second)');
LEGEND_ALGEBRAIC(:,47) = strpad('d_T_infinity in component T_type_Ca_channel_d_T_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,56) = strpad('tau_d_T in component T_type_Ca_channel_d_T_gate (second)');
LEGEND_ALGEBRAIC(:,7) = strpad('E0_f_T in component T_type_Ca_channel_f_T_gate (millivolt)');
LEGEND_ALGEBRAIC(:,22) = strpad('alpha_f_T in component T_type_Ca_channel_f_T_gate (per_second)');
LEGEND_ALGEBRAIC(:,37) = strpad('beta_f_T in component T_type_Ca_channel_f_T_gate (per_second)');
LEGEND_ALGEBRAIC(:,48) = strpad('f_T_infinity in component T_type_Ca_channel_f_T_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,57) = strpad('tau_f_T in component T_type_Ca_channel_f_T_gate (second)');
LEGEND_ALGEBRAIC(:,60) = strpad('E_K in component Ca_independent_transient_outward_K_current (millivolt)');
LEGEND_CONSTANTS(:,18) = strpad('g_to in component Ca_independent_transient_outward_K_current (nanoS)');
LEGEND_STATES(:,10) = strpad('K_c in component cleft_space_ion_concentrations (millimolar)');
LEGEND_STATES(:,11) = strpad('K_i in component intracellular_ion_concentrations (millimolar)');
LEGEND_STATES(:,12) = strpad('r in component Ca_independent_transient_outward_K_current_r_gate (dimensionless)');
LEGEND_STATES(:,13) = strpad('s1 in component Ca_independent_transient_outward_K_current_s1_gate (dimensionless)');
LEGEND_STATES(:,14) = strpad('s2 in component Ca_independent_transient_outward_K_current_s2_gate (dimensionless)');
LEGEND_STATES(:,15) = strpad('s3 in component Ca_independent_transient_outward_K_current_s3_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,8) = strpad('alpha_r in component Ca_independent_transient_outward_K_current_r_gate (per_second)');
LEGEND_ALGEBRAIC(:,23) = strpad('beta_r in component Ca_independent_transient_outward_K_current_r_gate (per_second)');
LEGEND_ALGEBRAIC(:,49) = strpad('tau_r in component Ca_independent_transient_outward_K_current_r_gate (second)');
LEGEND_ALGEBRAIC(:,38) = strpad('r_infinity in component Ca_independent_transient_outward_K_current_r_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,24) = strpad('tau_s1 in component Ca_independent_transient_outward_K_current_s1_gate (second)');
LEGEND_ALGEBRAIC(:,9) = strpad('s1_infinity in component Ca_independent_transient_outward_K_current_s1_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,25) = strpad('tau_s2 in component Ca_independent_transient_outward_K_current_s2_gate (second)');
LEGEND_ALGEBRAIC(:,10) = strpad('s2_infinity in component Ca_independent_transient_outward_K_current_s2_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,26) = strpad('tau_s3 in component Ca_independent_transient_outward_K_current_s3_gate (second)');
LEGEND_ALGEBRAIC(:,11) = strpad('s3_infinity in component Ca_independent_transient_outward_K_current_s3_gate (dimensionless)');
LEGEND_CONSTANTS(:,19) = strpad('g_Ks in component delayed_rectifier_K_current (nanoS)');
LEGEND_CONSTANTS(:,20) = strpad('g_Kr in component delayed_rectifier_K_current (nanoS)');
LEGEND_STATES(:,16) = strpad('z in component delayed_rectifier_K_current_z_gate (dimensionless)');
LEGEND_STATES(:,17) = strpad('p_a in component delayed_rectifier_K_current_pa_gate (dimensionless)');
LEGEND_STATES(:,18) = strpad('p_i in component delayed_rectifier_K_current_pi_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,12) = strpad('alpha_z in component delayed_rectifier_K_current_z_gate (per_second)');
LEGEND_ALGEBRAIC(:,27) = strpad('beta_z in component delayed_rectifier_K_current_z_gate (per_second)');
LEGEND_ALGEBRAIC(:,50) = strpad('tau_z in component delayed_rectifier_K_current_z_gate (second)');
LEGEND_ALGEBRAIC(:,39) = strpad('z_infinity in component delayed_rectifier_K_current_z_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,13) = strpad('alpha_p_a in component delayed_rectifier_K_current_pa_gate (per_second)');
LEGEND_ALGEBRAIC(:,28) = strpad('beta_p_a in component delayed_rectifier_K_current_pa_gate (per_second)');
LEGEND_ALGEBRAIC(:,51) = strpad('tau_p_a in component delayed_rectifier_K_current_pa_gate (second)');
LEGEND_ALGEBRAIC(:,40) = strpad('p_a_infinity in component delayed_rectifier_K_current_pa_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,14) = strpad('alpha_p_i in component delayed_rectifier_K_current_pi_gate (per_second)');
LEGEND_ALGEBRAIC(:,29) = strpad('beta_p_i in component delayed_rectifier_K_current_pi_gate (per_second)');
LEGEND_ALGEBRAIC(:,52) = strpad('tau_p_i in component delayed_rectifier_K_current_pi_gate (second)');
LEGEND_ALGEBRAIC(:,41) = strpad('p_i_infinity in component delayed_rectifier_K_current_pi_gate (dimensionless)');
LEGEND_CONSTANTS(:,21) = strpad('g_K1 in component inward_rectifier (nanoS)');
LEGEND_CONSTANTS(:,22) = strpad('KmK1 in component inward_rectifier (millimolar)');
LEGEND_CONSTANTS(:,23) = strpad('steepK1 in component inward_rectifier (dimensionless)');
LEGEND_CONSTANTS(:,24) = strpad('shiftK1 in component inward_rectifier (millivolt)');
LEGEND_CONSTANTS(:,25) = strpad('g_B_Na in component background_currents (nanoS)');
LEGEND_CONSTANTS(:,26) = strpad('g_B_Ca in component background_currents (nanoS)');
LEGEND_ALGEBRAIC(:,67) = strpad('E_Ca in component background_currents (millivolt)');
LEGEND_CONSTANTS(:,27) = strpad('Ca_c in component cleft_space_ion_concentrations (millimolar)');
LEGEND_STATES(:,19) = strpad('Ca_i in component intracellular_ion_concentrations (millimolar)');
LEGEND_CONSTANTS(:,28) = strpad('k_NaK_K in component sodium_potassium_pump (millimolar)');
LEGEND_CONSTANTS(:,29) = strpad('k_NaK_Na in component sodium_potassium_pump (millimolar)');
LEGEND_CONSTANTS(:,30) = strpad('i_NaK_max in component sodium_potassium_pump (picoA)');
LEGEND_CONSTANTS(:,31) = strpad('i_CaP_max in component sarcolemmal_calcium_pump_current (picoA)');
LEGEND_CONSTANTS(:,32) = strpad('k_CaP in component sarcolemmal_calcium_pump_current (millimolar)');
LEGEND_CONSTANTS(:,33) = strpad('k_NaCa in component Na_Ca_ion_exchanger_current (picoA_per_millimolar_4)');
LEGEND_CONSTANTS(:,34) = strpad('d_NaCa in component Na_Ca_ion_exchanger_current (per_millimolar_4)');
LEGEND_CONSTANTS(:,35) = strpad('gamma in component Na_Ca_ion_exchanger_current (dimensionless)');
LEGEND_CONSTANTS(:,36) = strpad('Vol_i in component intracellular_ion_concentrations (nanolitre)');
LEGEND_CONSTANTS(:,37) = strpad('Vol_Ca in component intracellular_ion_concentrations (nanolitre)');
LEGEND_ALGEBRAIC(:,76) = strpad('i_up in component Ca_handling_by_the_SR (picoA)');
LEGEND_ALGEBRAIC(:,78) = strpad('i_rel in component Ca_handling_by_the_SR (picoA)');
LEGEND_ALGEBRAIC(:,73) = strpad('dOCdt in component intracellular_Ca_buffering (per_second)');
LEGEND_ALGEBRAIC(:,74) = strpad('dOTCdt in component intracellular_Ca_buffering (per_second)');
LEGEND_ALGEBRAIC(:,75) = strpad('dOTMgCdt in component intracellular_Ca_buffering (per_second)');
LEGEND_STATES(:,20) = strpad('O_C in component intracellular_Ca_buffering (dimensionless)');
LEGEND_STATES(:,21) = strpad('O_TC in component intracellular_Ca_buffering (dimensionless)');
LEGEND_STATES(:,22) = strpad('O_TMgC in component intracellular_Ca_buffering (dimensionless)');
LEGEND_STATES(:,23) = strpad('O_TMgMg in component intracellular_Ca_buffering (dimensionless)');
LEGEND_CONSTANTS(:,38) = strpad('Mg_i in component intracellular_Ca_buffering (millimolar)');
LEGEND_CONSTANTS(:,39) = strpad('Vol_c in component cleft_space_ion_concentrations (nanolitre)');
LEGEND_ALGEBRAIC(:,77) = strpad('i_tr in component Ca_handling_by_the_SR (picoA)');
LEGEND_CONSTANTS(:,40) = strpad('I_up_max in component Ca_handling_by_the_SR (picoA)');
LEGEND_CONSTANTS(:,41) = strpad('k_cyca in component Ca_handling_by_the_SR (millimolar)');
LEGEND_CONSTANTS(:,42) = strpad('k_srca in component Ca_handling_by_the_SR (millimolar)');
LEGEND_CONSTANTS(:,43) = strpad('k_xcs in component Ca_handling_by_the_SR (dimensionless)');
LEGEND_CONSTANTS(:,44) = strpad('alpha_rel in component Ca_handling_by_the_SR (picoA_per_millimolar)');
LEGEND_STATES(:,24) = strpad('Ca_rel in component Ca_handling_by_the_SR (millimolar)');
LEGEND_STATES(:,25) = strpad('Ca_up in component Ca_handling_by_the_SR (millimolar)');
LEGEND_CONSTANTS(:,45) = strpad('Vol_up in component Ca_handling_by_the_SR (nanolitre)');
LEGEND_CONSTANTS(:,46) = strpad('Vol_rel in component Ca_handling_by_the_SR (nanolitre)');
LEGEND_ALGEBRAIC(:,15) = strpad('r_act in component Ca_handling_by_the_SR (per_second)');
LEGEND_ALGEBRAIC(:,30) = strpad('r_inact in component Ca_handling_by_the_SR (per_second)');
LEGEND_STATES(:,26) = strpad('O_Calse in component Ca_handling_by_the_SR (dimensionless)');
LEGEND_STATES(:,27) = strpad('F1 in component Ca_handling_by_the_SR (dimensionless)');
LEGEND_STATES(:,28) = strpad('F2 in component Ca_handling_by_the_SR (dimensionless)');
LEGEND_STATES(:,29) = strpad('F3 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 in component Ca_handling_by_the_SR (millimolar)');
LEGEND_CONSTANTS(:,49) = strpad('k_F3 in component Ca_handling_by_the_SR (per_second)');
LEGEND_RATES(:,1) = strpad('d/dt V in component membrane (millivolt)');
LEGEND_RATES(:,3) = strpad('d/dt m in component sodium_current_m_gate (dimensionless)');
LEGEND_RATES(:,4) = strpad('d/dt h1 in component sodium_current_h1_gate (dimensionless)');
LEGEND_RATES(:,5) = strpad('d/dt h2 in component sodium_current_h2_gate (dimensionless)');
LEGEND_RATES(:,6) = strpad('d/dt d_L in component L_type_Ca_channel_d_L_gate (dimensionless)');
LEGEND_RATES(:,7) = strpad('d/dt f_L in component L_type_Ca_channel_f_L_gate (dimensionless)');
LEGEND_RATES(:,8) = strpad('d/dt d_T in component T_type_Ca_channel_d_T_gate (dimensionless)');
LEGEND_RATES(:,9) = strpad('d/dt f_T in component T_type_Ca_channel_f_T_gate (dimensionless)');
LEGEND_RATES(:,12) = strpad('d/dt r in component Ca_independent_transient_outward_K_current_r_gate (dimensionless)');
LEGEND_RATES(:,13) = strpad('d/dt s1 in component Ca_independent_transient_outward_K_current_s1_gate (dimensionless)');
LEGEND_RATES(:,14) = strpad('d/dt s2 in component Ca_independent_transient_outward_K_current_s2_gate (dimensionless)');
LEGEND_RATES(:,15) = strpad('d/dt s3 in component Ca_independent_transient_outward_K_current_s3_gate (dimensionless)');
LEGEND_RATES(:,16) = strpad('d/dt z in component delayed_rectifier_K_current_z_gate (dimensionless)');
LEGEND_RATES(:,17) = strpad('d/dt p_a in component delayed_rectifier_K_current_pa_gate (dimensionless)');
LEGEND_RATES(:,18) = strpad('d/dt p_i in component delayed_rectifier_K_current_pi_gate (dimensionless)');
LEGEND_RATES(:,2) = strpad('d/dt Na_i in component intracellular_ion_concentrations (millimolar)');
LEGEND_RATES(:,11) = strpad('d/dt K_i in component intracellular_ion_concentrations (millimolar)');
LEGEND_RATES(:,19) = strpad('d/dt Ca_i in component intracellular_ion_concentrations (millimolar)');
LEGEND_RATES(:,20) = strpad('d/dt O_C in component intracellular_Ca_buffering (dimensionless)');
LEGEND_RATES(:,21) = strpad('d/dt O_TC in component intracellular_Ca_buffering (dimensionless)');
LEGEND_RATES(:,22) = strpad('d/dt O_TMgC in component intracellular_Ca_buffering (dimensionless)');
LEGEND_RATES(:,23) = strpad('d/dt O_TMgMg in component intracellular_Ca_buffering (dimensionless)');
LEGEND_RATES(:,10) = strpad('d/dt K_c in component cleft_space_ion_concentrations (millimolar)');
LEGEND_RATES(:,26) = strpad('d/dt O_Calse in component Ca_handling_by_the_SR (dimensionless)');
LEGEND_RATES(:,24) = strpad('d/dt Ca_rel in component Ca_handling_by_the_SR (millimolar)');
LEGEND_RATES(:,25) = strpad('d/dt Ca_up in component Ca_handling_by_the_SR (millimolar)');
LEGEND_RATES(:,27) = strpad('d/dt F1 in component Ca_handling_by_the_SR (dimensionless)');
LEGEND_RATES(:,28) = strpad('d/dt F2 in component Ca_handling_by_the_SR (dimensionless)');
LEGEND_RATES(:,29) = strpad('d/dt F3 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 = [];
CONSTANTS(:,1) = 1;
CONSTANTS(:,2) = 0;
STATES(:,1) = -80;
CONSTANTS(:,3) = 8314;
CONSTANTS(:,4) = 308;
CONSTANTS(:,5) = 96487;
CONSTANTS(:,6) = 0.00005;
CONSTANTS(:,7) = 0.01;
CONSTANTS(:,8) = 100;
CONSTANTS(:,9) = 0.5;
CONSTANTS(:,10) = 0.0002;
CONSTANTS(:,11) = -20;
CONSTANTS(:,12) = 0.0000014;
CONSTANTS(:,13) = 140;
STATES(:,2) = 8.4;
STATES(:,3) = 0.01309;
STATES(:,4) = 0.706;
STATES(:,5) = 0.61493;
CONSTANTS(:,14) = 0.004;
CONSTANTS(:,15) = 50;
STATES(:,6) = 0.00003;
STATES(:,7) = 0.99981;
CONSTANTS(:,16) = 0.006;
CONSTANTS(:,17) = 38;
STATES(:,8) = 0.00046;
STATES(:,9) = 0.30752;
CONSTANTS(:,18) = 0.050002;
STATES(:,10) = 5;
STATES(:,11) = 100;
STATES(:,12) = 0.00006;
STATES(:,13) = 0.5753;
STATES(:,14) = 0.39871;
STATES(:,15) = 0.57363;
CONSTANTS(:,19) = 0.0025;
CONSTANTS(:,20) = 0.0035;
STATES(:,16) = 0.02032;
STATES(:,17) = 0.00016;
STATES(:,18) = 0.76898;
CONSTANTS(:,21) = 0.00508;
CONSTANTS(:,22) = 0.59;
CONSTANTS(:,23) = 1.393;
CONSTANTS(:,24) = -3.6;
CONSTANTS(:,25) = 6.4e-5;
CONSTANTS(:,26) = 3.1e-5;
CONSTANTS(:,27) = 2.5;
STATES(:,19) = 0.000071;
CONSTANTS(:,28) = 1;
CONSTANTS(:,29) = 11;
CONSTANTS(:,30) = 0.06441;
CONSTANTS(:,31) = 0.009509;
CONSTANTS(:,32) = 2e-4;
CONSTANTS(:,33) = 2e-5;
CONSTANTS(:,34) = 3e-4;
CONSTANTS(:,35) = 0.45;
CONSTANTS(:,36) = 1.26e-5;
CONSTANTS(:,37) = 5.884e-6;
STATES(:,20) = 0.029108;
STATES(:,21) = 0.014071;
STATES(:,22) = 0.214036;
STATES(:,23) = 0.693565;
CONSTANTS(:,38) = 2.5;
CONSTANTS(:,39) = 0.0000025;
CONSTANTS(:,40) = 2.8;
CONSTANTS(:,41) = 0.0003;
CONSTANTS(:,42) = 0.5;
CONSTANTS(:,43) = 0.4;
CONSTANTS(:,44) = 200;
STATES(:,24) = 0.726776;
STATES(:,25) = 0.730866;
CONSTANTS(:,45) = 3.969e-7;
CONSTANTS(:,46) = 4.4e-8;
STATES(:,26) = 0.465921;
STATES(:,27) = 0.288039;
STATES(:,28) = 0.002262;
STATES(:,29) = 0.612697;
CONSTANTS(:,47) = 0.01;
CONSTANTS(:,48) = 0.0003;
CONSTANTS(:,49) = 0.815;
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(:,23) = 2000.00.*CONSTANTS(:,38).*((1.00000 - STATES(:,22)) - STATES(:,23)) - 666.000.*STATES(:,23);
ALGEBRAIC(:,15) = 240.000.*exp( 0.0800000.*(STATES(:,1) - 20.0000))+ 203.800.*power(STATES(:,19)./(STATES(:,19)+CONSTANTS(:,48)), 4.00000);
RATES(:,27) = CONSTANTS(:,49).*STATES(:,29) - ALGEBRAIC(:,15).*STATES(:,27);
ALGEBRAIC(:,24) = 0.546600./(1.00000+exp((STATES(:,1)+32.8000)./0.100000))+0.0204000;
ALGEBRAIC(:,9) = 1.00000./(1.00000+exp((STATES(:,1)+28.2900)./7.06000));
RATES(:,13) = (ALGEBRAIC(:,9) - STATES(:,13))./ALGEBRAIC(:,24);
ALGEBRAIC(:,25) = 5.75000./(1.00000+exp((STATES(:,1)+32.8000)./0.100000))+0.450000./(1.00000+exp((STATES(:,1) - 13.5400)./ - 13.9700));
ALGEBRAIC(:,10) = 1.00000./(1.00000+exp((STATES(:,1)+28.2900)./7.06000));
RATES(:,14) = (ALGEBRAIC(:,10) - STATES(:,14))./ALGEBRAIC(:,25);
ALGEBRAIC(:,26) = 7.50000./(1.00000+exp((STATES(:,1)+23.0000)./0.500000))+0.500000;
ALGEBRAIC(:,11) = (1.00000./(1.00000+exp((STATES(:,1)+50.6700)./27.3800))+0.666000)./1.66600;
RATES(:,15) = (ALGEBRAIC(:,11) - STATES(:,15))./ALGEBRAIC(:,26);
ALGEBRAIC(:,30) = 33.9600+ 339.600.*power(STATES(:,19)./(STATES(:,19)+CONSTANTS(:,48)), 4.00000);
RATES(:,28) = ALGEBRAIC(:,15).*STATES(:,27) - ALGEBRAIC(:,30).*STATES(:,28);
RATES(:,29) = STATES(:,28).*ALGEBRAIC(:,30) - CONSTANTS(:,49).*STATES(:,29);
ALGEBRAIC(:,2) = STATES(:,1)+44.4000;
ALGEBRAIC(:,17) = ( - 460.000.*ALGEBRAIC(:,2))./(exp(ALGEBRAIC(:,2)./ - 12.6730) - 1.00000);
ALGEBRAIC(:,32) = 18400.0.*exp(ALGEBRAIC(:,2)./ - 12.6730);
RATES(:,3) = ALGEBRAIC(:,17).*(1.00000 - STATES(:,3)) - ALGEBRAIC(:,32).*STATES(:,3);
ALGEBRAIC(:,3) = 44.9000.*exp((STATES(:,1)+66.9000)./ - 5.57000);
ALGEBRAIC(:,18) = 1491.00./(1.00000+ 323.300.*exp((STATES(:,1)+94.6000)./ - 12.9000));
ALGEBRAIC(:,33) = ALGEBRAIC(:,3)./(ALGEBRAIC(:,3)+ALGEBRAIC(:,18));
ALGEBRAIC(:,43) = 0.0300000./(1.00000+exp((STATES(:,1)+40.0000)./6.00000))+0.000150000;
RATES(:,4) = (ALGEBRAIC(:,33) - STATES(:,4))./ALGEBRAIC(:,43);
ALGEBRAIC(:,44) = 0.120000./(1.00000+exp((STATES(:,1)+60.0000)./2.00000))+0.000450000;
RATES(:,5) = (ALGEBRAIC(:,33) - STATES(:,5))./ALGEBRAIC(:,44);
ALGEBRAIC(:,8) = 386.600.*exp(STATES(:,1)./12.0000);
ALGEBRAIC(:,23) = 8.01100.*exp(STATES(:,1)./ - 7.20000);
ALGEBRAIC(:,49) = 1.00000./(ALGEBRAIC(:,8)+ALGEBRAIC(:,23))+0.000400000;
ALGEBRAIC(:,38) = 1.00000./(1.00000+exp((STATES(:,1)+15.0000)./ - 5.63300));
RATES(:,12) = (ALGEBRAIC(:,38) - STATES(:,12))./ALGEBRAIC(:,49);
ALGEBRAIC(:,12) = 1.66000.*exp(STATES(:,1)./69.4520);
ALGEBRAIC(:,27) = 0.300000.*exp(STATES(:,1)./ - 21.8260);
ALGEBRAIC(:,50) = 1.00000./(ALGEBRAIC(:,12)+ALGEBRAIC(:,27))+0.0600000;
ALGEBRAIC(:,39) = 1.00000./(1.00000+exp((STATES(:,1) - 0.900000)./ - 13.8000));
RATES(:,16) = (ALGEBRAIC(:,39) - STATES(:,16))./ALGEBRAIC(:,50);
ALGEBRAIC(:,13) = 9.00000.*exp(STATES(:,1)./25.3710);
ALGEBRAIC(:,28) = 1.30000.*exp(STATES(:,1)./ - 13.0260);
ALGEBRAIC(:,51) = 1.00000./(ALGEBRAIC(:,13)+ALGEBRAIC(:,28));
ALGEBRAIC(:,40) = 1.00000./(1.00000+exp((STATES(:,1)+5.10000)./ - 7.40000));
RATES(:,17) = (ALGEBRAIC(:,40) - STATES(:,17))./ALGEBRAIC(:,51);
ALGEBRAIC(:,14) = 100.000.*exp(STATES(:,1)./ - 54.6450);
ALGEBRAIC(:,29) = 656.000.*exp(STATES(:,1)./106.157);
ALGEBRAIC(:,52) = 1.00000./(ALGEBRAIC(:,14)+ALGEBRAIC(:,29));
ALGEBRAIC(:,41) = 1.00000./(1.00000+exp((STATES(:,1)+47.3921)./18.6603));
RATES(:,18) = (ALGEBRAIC(:,41) - STATES(:,18))./ALGEBRAIC(:,52);
ALGEBRAIC(:,5) = STATES(:,1)+18.0000;
ALGEBRAIC(:,20) = ( 8.49000.*ALGEBRAIC(:,5))./(exp(ALGEBRAIC(:,5)./4.00000) - 1.00000);
ALGEBRAIC(:,35) = 67.9220./(1.00000+exp(ALGEBRAIC(:,5)./ - 4.00000));
ALGEBRAIC(:,46) = ALGEBRAIC(:,20)./(ALGEBRAIC(:,20)+ALGEBRAIC(:,35));
ALGEBRAIC(:,55) = 1.00000./(ALGEBRAIC(:,20)+ALGEBRAIC(:,35));
RATES(:,7) = (ALGEBRAIC(:,46) - STATES(:,7))./ALGEBRAIC(:,55);
ALGEBRAIC(:,6) = STATES(:,1)+23.3000;
ALGEBRAIC(:,47) = 1.00000./(1.00000+exp((ALGEBRAIC(:,6) - 0.300000)./ - 6.10000));
ALGEBRAIC(:,21) = 674.173.*exp(ALGEBRAIC(:,6)./30.0000);
ALGEBRAIC(:,36) = 674.173.*exp(ALGEBRAIC(:,6)./ - 30.0000);
ALGEBRAIC(:,56) = 1.00000./(ALGEBRAIC(:,21)+ALGEBRAIC(:,36));
RATES(:,8) = (ALGEBRAIC(:,47) - STATES(:,8))./ALGEBRAIC(:,56);
ALGEBRAIC(:,7) = STATES(:,1)+75.0000;
ALGEBRAIC(:,22) = 9.63700.*exp(ALGEBRAIC(:,7)./ - 83.3000);
ALGEBRAIC(:,37) = 9.63700.*exp(ALGEBRAIC(:,7)./15.3800);
ALGEBRAIC(:,48) = ALGEBRAIC(:,22)./(ALGEBRAIC(:,22)+ALGEBRAIC(:,37));
ALGEBRAIC(:,57) = 1.00000./(ALGEBRAIC(:,22)+ALGEBRAIC(:,37));
RATES(:,9) = (ALGEBRAIC(:,48) - STATES(:,9))./ALGEBRAIC(:,57);
ALGEBRAIC(:,34) = STATES(:,1)+10.0000;
ALGEBRAIC(:,59) = 1.00000./(1.00000+exp((ALGEBRAIC(:,34)+0.950000)./ - 6.60000));
ALGEBRAIC(:,4) = STATES(:,1)+45.0000;
ALGEBRAIC(:,45) = ( - 16.7200.*ALGEBRAIC(:,4))./(exp(ALGEBRAIC(:,4)./ - 2.50000) - 1.00000)+( - 50.0000.*ALGEBRAIC(:,34))./(exp(ALGEBRAIC(:,34)./ - 4.80800) - 1.00000);
ALGEBRAIC(:,19) = STATES(:,1)+5.00000;
ALGEBRAIC(:,54) = ( 4.48000.*ALGEBRAIC(:,19))./(exp(ALGEBRAIC(:,19)./2.50000) - 1.00000);
ALGEBRAIC(:,61) = 1.00000./(ALGEBRAIC(:,45)+ALGEBRAIC(:,54));
RATES(:,6) = (ALGEBRAIC(:,59) - STATES(:,6))./ALGEBRAIC(:,61);
ALGEBRAIC(:,60) = (( CONSTANTS(:,3).*CONSTANTS(:,4))./CONSTANTS(:,5)).*log(STATES(:,10)./STATES(:,11));
ALGEBRAIC(:,62) = piecewise({CONSTANTS(:,1)==1.00000&CONSTANTS(:,2)==0.00000, 0.200000.*CONSTANTS(:,18).*STATES(:,12).*( 0.590000.*power(STATES(:,13), 3.00000)+ 0.410000.*power(STATES(:,14), 3.00000)).*( 0.600000.*power(STATES(:,15), 6.00000)+0.400000).*(STATES(:,1) - ALGEBRAIC(:,60)) , CONSTANTS(:,1)==0.00000&CONSTANTS(:,2)==1.00000, 0.350000.*CONSTANTS(:,18).*STATES(:,12).*( 0.590000.*power(STATES(:,13), 3.00000)+ 0.410000.*power(STATES(:,14), 3.00000)).*( 0.600000.*power(STATES(:,15), 6.00000)+0.400000).*(STATES(:,1) - ALGEBRAIC(:,60)) }, CONSTANTS(:,18).*STATES(:,12).*( 0.590000.*power(STATES(:,13), 3.00000)+ 0.410000.*power(STATES(:,14), 3.00000)).*( 0.600000.*power(STATES(:,15), 6.00000)+0.400000).*(STATES(:,1) - ALGEBRAIC(:,60)));
ALGEBRAIC(:,63) = piecewise({CONSTANTS(:,1)==1.00000&CONSTANTS(:,2)==0.00000, 0.00140000.*(STATES(:,1)+70.0000) , CONSTANTS(:,1)==0.00000&CONSTANTS(:,2)==1.00000, 0.00240000.*(STATES(:,1)+70.0000) }, 0.00100000.*(STATES(:,1)+70.0000));
ALGEBRAIC(:,66) = piecewise({CONSTANTS(:,1)==1.00000&CONSTANTS(:,2)==0.00000, ( 2.00000.*CONSTANTS(:,21).*(STATES(:,1) - ALGEBRAIC(:,60)).*power(STATES(:,10)./(STATES(:,10)+CONSTANTS(:,22)), 3.00000).*1.00000)./(1.00000+exp(( CONSTANTS(:,23).*CONSTANTS(:,5).*((STATES(:,1) - ALGEBRAIC(:,60)) - CONSTANTS(:,24)))./( CONSTANTS(:,3).*CONSTANTS(:,4)))) , CONSTANTS(:,1)==0.00000&CONSTANTS(:,2)==1.00000, ( 2.50000.*CONSTANTS(:,21).*(STATES(:,1) - ALGEBRAIC(:,60)).*power(STATES(:,10)./(STATES(:,10)+CONSTANTS(:,22)), 3.00000).*1.00000)./(1.00000+exp(( CONSTANTS(:,23).*CONSTANTS(:,5).*((STATES(:,1) - ALGEBRAIC(:,60)) - CONSTANTS(:,24)))./( CONSTANTS(:,3).*CONSTANTS(:,4)))) }, ( CONSTANTS(:,21).*(STATES(:,1) - ALGEBRAIC(:,60)).*power(STATES(:,10)./(STATES(:,10)+CONSTANTS(:,22)), 3.00000).*1.00000)./(1.00000+exp(( CONSTANTS(:,23).*CONSTANTS(:,5).*((STATES(:,1) - ALGEBRAIC(:,60)) - CONSTANTS(:,24)))./( CONSTANTS(:,3).*CONSTANTS(:,4)))));
ALGEBRAIC(:,65) = CONSTANTS(:,20).*STATES(:,17).*STATES(:,18).*(STATES(:,1) - ALGEBRAIC(:,60));
ALGEBRAIC(:,64) = CONSTANTS(:,19).*STATES(:,16).*(STATES(:,1) - ALGEBRAIC(:,60));
ALGEBRAIC(:,70) = ( (( (( CONSTANTS(:,30).*STATES(:,10))./(STATES(:,10)+CONSTANTS(:,28))).*power(STATES(:,2), 1.50000))./(power(STATES(:,2), 1.50000)+power(CONSTANTS(:,29), 1.50000))).*1.60000)./(1.50000+exp((STATES(:,1)+60.0000)./ - 40.0000));
RATES(:,11) = - ((ALGEBRAIC(:,62)+ALGEBRAIC(:,63)+ALGEBRAIC(:,66)+ALGEBRAIC(:,65)+ALGEBRAIC(:,64)) - 2.00000.*ALGEBRAIC(:,70))./( CONSTANTS(:,36).*CONSTANTS(:,5));
RATES(:,10) = ((ALGEBRAIC(:,62)+ALGEBRAIC(:,63)+ALGEBRAIC(:,66)+ALGEBRAIC(:,65)+ALGEBRAIC(:,64)) - 2.00000.*ALGEBRAIC(:,70))./( CONSTANTS(:,39).*CONSTANTS(:,5));
ALGEBRAIC(:,16) = (( CONSTANTS(:,3).*CONSTANTS(:,4))./CONSTANTS(:,5)).*log(CONSTANTS(:,13)./STATES(:,2));
ALGEBRAIC(:,31) = ( (( CONSTANTS(:,12).*power(STATES(:,3), 3.00000).*( 0.635000.*STATES(:,4)+ 0.365000.*STATES(:,5)).*CONSTANTS(:,13).*STATES(:,1).*power(CONSTANTS(:,5), 2.00000))./( CONSTANTS(:,3).*CONSTANTS(:,4))).*(exp(( (STATES(:,1) - ALGEBRAIC(:,16)).*CONSTANTS(:,5))./( CONSTANTS(:,3).*CONSTANTS(:,4))) - 1.00000))./(exp(( STATES(:,1).*CONSTANTS(:,5))./( CONSTANTS(:,3).*CONSTANTS(:,4))) - 1.00000);
ALGEBRAIC(:,42) = 1.00000./(1.00000+exp((STATES(:,1) - 23.0000)./ - 12.0000));
ALGEBRAIC(:,53) = piecewise({CONSTANTS(:,1)==1.00000&CONSTANTS(:,2)==0.00000, 1.80000.*CONSTANTS(:,14).*( STATES(:,6).*STATES(:,7)+ALGEBRAIC(:,42)).*(STATES(:,1) - CONSTANTS(:,15)) , CONSTANTS(:,1)==0.00000&CONSTANTS(:,2)==1.00000, 2.10000.*CONSTANTS(:,14).*( STATES(:,6).*STATES(:,7)+ALGEBRAIC(:,42)).*(STATES(:,1) - CONSTANTS(:,15)) }, CONSTANTS(:,14).*( STATES(:,6).*STATES(:,7)+ALGEBRAIC(:,42)).*(STATES(:,1) - CONSTANTS(:,15)));
ALGEBRAIC(:,58) = CONSTANTS(:,16).*STATES(:,8).*STATES(:,9).*(STATES(:,1) - CONSTANTS(:,17));
ALGEBRAIC(:,68) = piecewise({CONSTANTS(:,1)==1.00000&CONSTANTS(:,2)==0.00000, 2.00000e-05.*(STATES(:,1) - ALGEBRAIC(:,16)) , CONSTANTS(:,1)==0.00000&CONSTANTS(:,2)==1.00000, 3.00000e-05.*(STATES(:,1) - ALGEBRAIC(:,16)) }, CONSTANTS(:,25).*(STATES(:,1) - ALGEBRAIC(:,16)));
ALGEBRAIC(:,67) = (( CONSTANTS(:,3).*CONSTANTS(:,4))./( 2.00000.*CONSTANTS(:,5))).*log(CONSTANTS(:,27)./STATES(:,19));
ALGEBRAIC(:,69) = piecewise({CONSTANTS(:,1)==1.00000&CONSTANTS(:,2)==0.00000, 2.00000e-05.*(STATES(:,1) - ALGEBRAIC(:,67)) , CONSTANTS(:,1)==0.00000&CONSTANTS(:,2)==1.00000, 3.00000e-05.*(STATES(:,1) - ALGEBRAIC(:,67)) }, CONSTANTS(:,26).*(STATES(:,1) - ALGEBRAIC(:,67)));
ALGEBRAIC(:,71) = ( CONSTANTS(:,31).*STATES(:,19))./(STATES(:,19)+CONSTANTS(:,32));
ALGEBRAIC(:,72) = ( CONSTANTS(:,33).*( power(STATES(:,2), 3.00000).*CONSTANTS(:,27).*exp(( CONSTANTS(:,35).*CONSTANTS(:,5).*STATES(:,1))./( CONSTANTS(:,3).*CONSTANTS(:,4))) - power(CONSTANTS(:,13), 3.00000).*STATES(:,19).*exp(( (CONSTANTS(:,35) - 1.00000).*STATES(:,1).*CONSTANTS(:,5))./( CONSTANTS(:,3).*CONSTANTS(:,4)))))./(1.00000+ CONSTANTS(:,34).*( power(CONSTANTS(:,13), 3.00000).*STATES(:,19)+ power(STATES(:,2), 3.00000).*CONSTANTS(:,27)));
ALGEBRAIC(:,1) = piecewise({VOI>=CONSTANTS(:,7)&VOI<=CONSTANTS(:,8)&(VOI - CONSTANTS(:,7)) - floor((VOI - CONSTANTS(:,7))./CONSTANTS(:,9)).*CONSTANTS(:,9)<=CONSTANTS(:,10), CONSTANTS(:,11) }, 0.00000);
RATES(:,1) = ( - 1.00000./CONSTANTS(:,6)).*(ALGEBRAIC(:,65)+ALGEBRAIC(:,64)+ALGEBRAIC(:,31)+ALGEBRAIC(:,53)+ALGEBRAIC(:,58)+ALGEBRAIC(:,62)+ALGEBRAIC(:,63)+ALGEBRAIC(:,66)+ALGEBRAIC(:,68)+ALGEBRAIC(:,69)+ALGEBRAIC(:,70)+ALGEBRAIC(:,71)+ALGEBRAIC(:,72)+ALGEBRAIC(:,1));
RATES(:,2) = - (ALGEBRAIC(:,31)+ALGEBRAIC(:,68)+ 3.00000.*ALGEBRAIC(:,70)+ 3.00000.*ALGEBRAIC(:,72))./( CONSTANTS(:,36).*CONSTANTS(:,5));
ALGEBRAIC(:,73) = 200000..*STATES(:,19).*(1.00000 - STATES(:,20)) - 476.000.*STATES(:,20);
RATES(:,20) = ALGEBRAIC(:,73);
ALGEBRAIC(:,74) = 78400.0.*STATES(:,19).*(1.00000 - STATES(:,21)) - 392.000.*STATES(:,21);
RATES(:,21) = ALGEBRAIC(:,74);
RATES(:,26) = 480.000.*STATES(:,24).*(1.00000 - STATES(:,26)) - 400.000.*STATES(:,26);
ALGEBRAIC(:,75) = 200000..*STATES(:,19).*((1.00000 - STATES(:,22)) - STATES(:,23)) - 6.60000.*STATES(:,22);
RATES(:,22) = ALGEBRAIC(:,75);
ALGEBRAIC(:,76) = ( CONSTANTS(:,40).*(STATES(:,19)./CONSTANTS(:,41) - ( power(CONSTANTS(:,43), 2.00000).*STATES(:,25))./CONSTANTS(:,42)))./((STATES(:,19)+CONSTANTS(:,41))./CONSTANTS(:,41)+( CONSTANTS(:,43).*(STATES(:,25)+CONSTANTS(:,42)))./CONSTANTS(:,42));
ALGEBRAIC(:,77) = ( (STATES(:,25) - STATES(:,24)).*2.00000.*CONSTANTS(:,5).*CONSTANTS(:,46))./CONSTANTS(:,47);
RATES(:,25) = (ALGEBRAIC(:,76) - ALGEBRAIC(:,77))./( 2.00000.*CONSTANTS(:,45).*CONSTANTS(:,5));
ALGEBRAIC(:,78) = CONSTANTS(:,44).*power(STATES(:,28)./(STATES(:,28)+0.250000), 2.00000).*(STATES(:,24) - STATES(:,19));
RATES(:,19) = - ((((ALGEBRAIC(:,53)+ALGEBRAIC(:,58)+ALGEBRAIC(:,69)+ALGEBRAIC(:,71)) - 2.00000.*ALGEBRAIC(:,72))+ALGEBRAIC(:,76)) - ALGEBRAIC(:,78))./( 2.00000.*CONSTANTS(:,37).*CONSTANTS(:,5)) - ( 0.0800000.*ALGEBRAIC(:,74)+ 0.160000.*ALGEBRAIC(:,75)+ 0.0450000.*ALGEBRAIC(:,73));
RATES(:,24) = (ALGEBRAIC(:,77) - ALGEBRAIC(:,78))./( 2.00000.*CONSTANTS(:,46).*CONSTANTS(:,5)) - 31.0000.*RATES(:,26);
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(:,15) = 240.000.*exp( 0.0800000.*(STATES(:,1) - 20.0000))+ 203.800.*power(STATES(:,19)./(STATES(:,19)+CONSTANTS(:,48)), 4.00000);
ALGEBRAIC(:,24) = 0.546600./(1.00000+exp((STATES(:,1)+32.8000)./0.100000))+0.0204000;
ALGEBRAIC(:,9) = 1.00000./(1.00000+exp((STATES(:,1)+28.2900)./7.06000));
ALGEBRAIC(:,25) = 5.75000./(1.00000+exp((STATES(:,1)+32.8000)./0.100000))+0.450000./(1.00000+exp((STATES(:,1) - 13.5400)./ - 13.9700));
ALGEBRAIC(:,10) = 1.00000./(1.00000+exp((STATES(:,1)+28.2900)./7.06000));
ALGEBRAIC(:,26) = 7.50000./(1.00000+exp((STATES(:,1)+23.0000)./0.500000))+0.500000;
ALGEBRAIC(:,11) = (1.00000./(1.00000+exp((STATES(:,1)+50.6700)./27.3800))+0.666000)./1.66600;
ALGEBRAIC(:,30) = 33.9600+ 339.600.*power(STATES(:,19)./(STATES(:,19)+CONSTANTS(:,48)), 4.00000);
ALGEBRAIC(:,2) = STATES(:,1)+44.4000;
ALGEBRAIC(:,17) = ( - 460.000.*ALGEBRAIC(:,2))./(exp(ALGEBRAIC(:,2)./ - 12.6730) - 1.00000);
ALGEBRAIC(:,32) = 18400.0.*exp(ALGEBRAIC(:,2)./ - 12.6730);
ALGEBRAIC(:,3) = 44.9000.*exp((STATES(:,1)+66.9000)./ - 5.57000);
ALGEBRAIC(:,18) = 1491.00./(1.00000+ 323.300.*exp((STATES(:,1)+94.6000)./ - 12.9000));
ALGEBRAIC(:,33) = ALGEBRAIC(:,3)./(ALGEBRAIC(:,3)+ALGEBRAIC(:,18));
ALGEBRAIC(:,43) = 0.0300000./(1.00000+exp((STATES(:,1)+40.0000)./6.00000))+0.000150000;
ALGEBRAIC(:,44) = 0.120000./(1.00000+exp((STATES(:,1)+60.0000)./2.00000))+0.000450000;
ALGEBRAIC(:,8) = 386.600.*exp(STATES(:,1)./12.0000);
ALGEBRAIC(:,23) = 8.01100.*exp(STATES(:,1)./ - 7.20000);
ALGEBRAIC(:,49) = 1.00000./(ALGEBRAIC(:,8)+ALGEBRAIC(:,23))+0.000400000;
ALGEBRAIC(:,38) = 1.00000./(1.00000+exp((STATES(:,1)+15.0000)./ - 5.63300));
ALGEBRAIC(:,12) = 1.66000.*exp(STATES(:,1)./69.4520);
ALGEBRAIC(:,27) = 0.300000.*exp(STATES(:,1)./ - 21.8260);
ALGEBRAIC(:,50) = 1.00000./(ALGEBRAIC(:,12)+ALGEBRAIC(:,27))+0.0600000;
ALGEBRAIC(:,39) = 1.00000./(1.00000+exp((STATES(:,1) - 0.900000)./ - 13.8000));
ALGEBRAIC(:,13) = 9.00000.*exp(STATES(:,1)./25.3710);
ALGEBRAIC(:,28) = 1.30000.*exp(STATES(:,1)./ - 13.0260);
ALGEBRAIC(:,51) = 1.00000./(ALGEBRAIC(:,13)+ALGEBRAIC(:,28));
ALGEBRAIC(:,40) = 1.00000./(1.00000+exp((STATES(:,1)+5.10000)./ - 7.40000));
ALGEBRAIC(:,14) = 100.000.*exp(STATES(:,1)./ - 54.6450);
ALGEBRAIC(:,29) = 656.000.*exp(STATES(:,1)./106.157);
ALGEBRAIC(:,52) = 1.00000./(ALGEBRAIC(:,14)+ALGEBRAIC(:,29));
ALGEBRAIC(:,41) = 1.00000./(1.00000+exp((STATES(:,1)+47.3921)./18.6603));
ALGEBRAIC(:,5) = STATES(:,1)+18.0000;
ALGEBRAIC(:,20) = ( 8.49000.*ALGEBRAIC(:,5))./(exp(ALGEBRAIC(:,5)./4.00000) - 1.00000);
ALGEBRAIC(:,35) = 67.9220./(1.00000+exp(ALGEBRAIC(:,5)./ - 4.00000));
ALGEBRAIC(:,46) = ALGEBRAIC(:,20)./(ALGEBRAIC(:,20)+ALGEBRAIC(:,35));
ALGEBRAIC(:,55) = 1.00000./(ALGEBRAIC(:,20)+ALGEBRAIC(:,35));
ALGEBRAIC(:,6) = STATES(:,1)+23.3000;
ALGEBRAIC(:,47) = 1.00000./(1.00000+exp((ALGEBRAIC(:,6) - 0.300000)./ - 6.10000));
ALGEBRAIC(:,21) = 674.173.*exp(ALGEBRAIC(:,6)./30.0000);
ALGEBRAIC(:,36) = 674.173.*exp(ALGEBRAIC(:,6)./ - 30.0000);
ALGEBRAIC(:,56) = 1.00000./(ALGEBRAIC(:,21)+ALGEBRAIC(:,36));
ALGEBRAIC(:,7) = STATES(:,1)+75.0000;
ALGEBRAIC(:,22) = 9.63700.*exp(ALGEBRAIC(:,7)./ - 83.3000);
ALGEBRAIC(:,37) = 9.63700.*exp(ALGEBRAIC(:,7)./15.3800);
ALGEBRAIC(:,48) = ALGEBRAIC(:,22)./(ALGEBRAIC(:,22)+ALGEBRAIC(:,37));
ALGEBRAIC(:,57) = 1.00000./(ALGEBRAIC(:,22)+ALGEBRAIC(:,37));
ALGEBRAIC(:,34) = STATES(:,1)+10.0000;
ALGEBRAIC(:,59) = 1.00000./(1.00000+exp((ALGEBRAIC(:,34)+0.950000)./ - 6.60000));
ALGEBRAIC(:,4) = STATES(:,1)+45.0000;
ALGEBRAIC(:,45) = ( - 16.7200.*ALGEBRAIC(:,4))./(exp(ALGEBRAIC(:,4)./ - 2.50000) - 1.00000)+( - 50.0000.*ALGEBRAIC(:,34))./(exp(ALGEBRAIC(:,34)./ - 4.80800) - 1.00000);
ALGEBRAIC(:,19) = STATES(:,1)+5.00000;
ALGEBRAIC(:,54) = ( 4.48000.*ALGEBRAIC(:,19))./(exp(ALGEBRAIC(:,19)./2.50000) - 1.00000);
ALGEBRAIC(:,61) = 1.00000./(ALGEBRAIC(:,45)+ALGEBRAIC(:,54));
ALGEBRAIC(:,60) = (( CONSTANTS(:,3).*CONSTANTS(:,4))./CONSTANTS(:,5)).*log(STATES(:,10)./STATES(:,11));
ALGEBRAIC(:,62) = piecewise({CONSTANTS(:,1)==1.00000&CONSTANTS(:,2)==0.00000, 0.200000.*CONSTANTS(:,18).*STATES(:,12).*( 0.590000.*power(STATES(:,13), 3.00000)+ 0.410000.*power(STATES(:,14), 3.00000)).*( 0.600000.*power(STATES(:,15), 6.00000)+0.400000).*(STATES(:,1) - ALGEBRAIC(:,60)) , CONSTANTS(:,1)==0.00000&CONSTANTS(:,2)==1.00000, 0.350000.*CONSTANTS(:,18).*STATES(:,12).*( 0.590000.*power(STATES(:,13), 3.00000)+ 0.410000.*power(STATES(:,14), 3.00000)).*( 0.600000.*power(STATES(:,15), 6.00000)+0.400000).*(STATES(:,1) - ALGEBRAIC(:,60)) }, CONSTANTS(:,18).*STATES(:,12).*( 0.590000.*power(STATES(:,13), 3.00000)+ 0.410000.*power(STATES(:,14), 3.00000)).*( 0.600000.*power(STATES(:,15), 6.00000)+0.400000).*(STATES(:,1) - ALGEBRAIC(:,60)));
ALGEBRAIC(:,63) = piecewise({CONSTANTS(:,1)==1.00000&CONSTANTS(:,2)==0.00000, 0.00140000.*(STATES(:,1)+70.0000) , CONSTANTS(:,1)==0.00000&CONSTANTS(:,2)==1.00000, 0.00240000.*(STATES(:,1)+70.0000) }, 0.00100000.*(STATES(:,1)+70.0000));
ALGEBRAIC(:,66) = piecewise({CONSTANTS(:,1)==1.00000&CONSTANTS(:,2)==0.00000, ( 2.00000.*CONSTANTS(:,21).*(STATES(:,1) - ALGEBRAIC(:,60)).*power(STATES(:,10)./(STATES(:,10)+CONSTANTS(:,22)), 3.00000).*1.00000)./(1.00000+exp(( CONSTANTS(:,23).*CONSTANTS(:,5).*((STATES(:,1) - ALGEBRAIC(:,60)) - CONSTANTS(:,24)))./( CONSTANTS(:,3).*CONSTANTS(:,4)))) , CONSTANTS(:,1)==0.00000&CONSTANTS(:,2)==1.00000, ( 2.50000.*CONSTANTS(:,21).*(STATES(:,1) - ALGEBRAIC(:,60)).*power(STATES(:,10)./(STATES(:,10)+CONSTANTS(:,22)), 3.00000).*1.00000)./(1.00000+exp(( CONSTANTS(:,23).*CONSTANTS(:,5).*((STATES(:,1) - ALGEBRAIC(:,60)) - CONSTANTS(:,24)))./( CONSTANTS(:,3).*CONSTANTS(:,4)))) }, ( CONSTANTS(:,21).*(STATES(:,1) - ALGEBRAIC(:,60)).*power(STATES(:,10)./(STATES(:,10)+CONSTANTS(:,22)), 3.00000).*1.00000)./(1.00000+exp(( CONSTANTS(:,23).*CONSTANTS(:,5).*((STATES(:,1) - ALGEBRAIC(:,60)) - CONSTANTS(:,24)))./( CONSTANTS(:,3).*CONSTANTS(:,4)))));
ALGEBRAIC(:,65) = CONSTANTS(:,20).*STATES(:,17).*STATES(:,18).*(STATES(:,1) - ALGEBRAIC(:,60));
ALGEBRAIC(:,64) = CONSTANTS(:,19).*STATES(:,16).*(STATES(:,1) - ALGEBRAIC(:,60));
ALGEBRAIC(:,70) = ( (( (( CONSTANTS(:,30).*STATES(:,10))./(STATES(:,10)+CONSTANTS(:,28))).*power(STATES(:,2), 1.50000))./(power(STATES(:,2), 1.50000)+power(CONSTANTS(:,29), 1.50000))).*1.60000)./(1.50000+exp((STATES(:,1)+60.0000)./ - 40.0000));
ALGEBRAIC(:,16) = (( CONSTANTS(:,3).*CONSTANTS(:,4))./CONSTANTS(:,5)).*log(CONSTANTS(:,13)./STATES(:,2));
ALGEBRAIC(:,31) = ( (( CONSTANTS(:,12).*power(STATES(:,3), 3.00000).*( 0.635000.*STATES(:,4)+ 0.365000.*STATES(:,5)).*CONSTANTS(:,13).*STATES(:,1).*power(CONSTANTS(:,5), 2.00000))./( CONSTANTS(:,3).*CONSTANTS(:,4))).*(exp(( (STATES(:,1) - ALGEBRAIC(:,16)).*CONSTANTS(:,5))./( CONSTANTS(:,3).*CONSTANTS(:,4))) - 1.00000))./(exp(( STATES(:,1).*CONSTANTS(:,5))./( CONSTANTS(:,3).*CONSTANTS(:,4))) - 1.00000);
ALGEBRAIC(:,42) = 1.00000./(1.00000+exp((STATES(:,1) - 23.0000)./ - 12.0000));
ALGEBRAIC(:,53) = piecewise({CONSTANTS(:,1)==1.00000&CONSTANTS(:,2)==0.00000, 1.80000.*CONSTANTS(:,14).*( STATES(:,6).*STATES(:,7)+ALGEBRAIC(:,42)).*(STATES(:,1) - CONSTANTS(:,15)) , CONSTANTS(:,1)==0.00000&CONSTANTS(:,2)==1.00000, 2.10000.*CONSTANTS(:,14).*( STATES(:,6).*STATES(:,7)+ALGEBRAIC(:,42)).*(STATES(:,1) - CONSTANTS(:,15)) }, CONSTANTS(:,14).*( STATES(:,6).*STATES(:,7)+ALGEBRAIC(:,42)).*(STATES(:,1) - CONSTANTS(:,15)));
ALGEBRAIC(:,58) = CONSTANTS(:,16).*STATES(:,8).*STATES(:,9).*(STATES(:,1) - CONSTANTS(:,17));
ALGEBRAIC(:,68) = piecewise({CONSTANTS(:,1)==1.00000&CONSTANTS(:,2)==0.00000, 2.00000e-05.*(STATES(:,1) - ALGEBRAIC(:,16)) , CONSTANTS(:,1)==0.00000&CONSTANTS(:,2)==1.00000, 3.00000e-05.*(STATES(:,1) - ALGEBRAIC(:,16)) }, CONSTANTS(:,25).*(STATES(:,1) - ALGEBRAIC(:,16)));
ALGEBRAIC(:,67) = (( CONSTANTS(:,3).*CONSTANTS(:,4))./( 2.00000.*CONSTANTS(:,5))).*log(CONSTANTS(:,27)./STATES(:,19));
ALGEBRAIC(:,69) = piecewise({CONSTANTS(:,1)==1.00000&CONSTANTS(:,2)==0.00000, 2.00000e-05.*(STATES(:,1) - ALGEBRAIC(:,67)) , CONSTANTS(:,1)==0.00000&CONSTANTS(:,2)==1.00000, 3.00000e-05.*(STATES(:,1) - ALGEBRAIC(:,67)) }, CONSTANTS(:,26).*(STATES(:,1) - ALGEBRAIC(:,67)));
ALGEBRAIC(:,71) = ( CONSTANTS(:,31).*STATES(:,19))./(STATES(:,19)+CONSTANTS(:,32));
ALGEBRAIC(:,72) = ( CONSTANTS(:,33).*( power(STATES(:,2), 3.00000).*CONSTANTS(:,27).*exp(( CONSTANTS(:,35).*CONSTANTS(:,5).*STATES(:,1))./( CONSTANTS(:,3).*CONSTANTS(:,4))) - power(CONSTANTS(:,13), 3.00000).*STATES(:,19).*exp(( (CONSTANTS(:,35) - 1.00000).*STATES(:,1).*CONSTANTS(:,5))./( CONSTANTS(:,3).*CONSTANTS(:,4)))))./(1.00000+ CONSTANTS(:,34).*( power(CONSTANTS(:,13), 3.00000).*STATES(:,19)+ power(STATES(:,2), 3.00000).*CONSTANTS(:,27)));
ALGEBRAIC(:,1) = piecewise({VOI>=CONSTANTS(:,7)&VOI<=CONSTANTS(:,8)&(VOI - CONSTANTS(:,7)) - floor((VOI - CONSTANTS(:,7))./CONSTANTS(:,9)).*CONSTANTS(:,9)<=CONSTANTS(:,10), CONSTANTS(:,11) }, 0.00000);
ALGEBRAIC(:,73) = 200000..*STATES(:,19).*(1.00000 - STATES(:,20)) - 476.000.*STATES(:,20);
ALGEBRAIC(:,74) = 78400.0.*STATES(:,19).*(1.00000 - STATES(:,21)) - 392.000.*STATES(:,21);
ALGEBRAIC(:,75) = 200000..*STATES(:,19).*((1.00000 - STATES(:,22)) - STATES(:,23)) - 6.60000.*STATES(:,22);
ALGEBRAIC(:,76) = ( CONSTANTS(:,40).*(STATES(:,19)./CONSTANTS(:,41) - ( power(CONSTANTS(:,43), 2.00000).*STATES(:,25))./CONSTANTS(:,42)))./((STATES(:,19)+CONSTANTS(:,41))./CONSTANTS(:,41)+( CONSTANTS(:,43).*(STATES(:,25)+CONSTANTS(:,42)))./CONSTANTS(:,42));
ALGEBRAIC(:,77) = ( (STATES(:,25) - STATES(:,24)).*2.00000.*CONSTANTS(:,5).*CONSTANTS(:,46))./CONSTANTS(:,47);
ALGEBRAIC(:,78) = CONSTANTS(:,44).*power(STATES(:,28)./(STATES(:,28)+0.250000), 2.00000).*(STATES(:,24) - STATES(:,19));
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