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 =69;
end
% There are a total of 22 entries in each of the rate and state variable arrays.
% There are a total of 62 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 Time (time_units)');
LEGEND_CONSTANTS(:,1) = strpad('T in component Environment (Temperature_units)');
LEGEND_CONSTANTS(:,2) = strpad('F in component Environment (F_units)');
LEGEND_CONSTANTS(:,3) = strpad('R in component Environment (R_units)');
LEGEND_CONSTANTS(:,4) = strpad('Ca_o in component Environment (millimolar)');
LEGEND_CONSTANTS(:,5) = strpad('Na_o in component Environment (millimolar)');
LEGEND_CONSTANTS(:,6) = strpad('K_o in component Environment (millimolar)');
LEGEND_CONSTANTS(:,57) = strpad('FoRT in component Environment (inverse_voltage_units)');
LEGEND_CONSTANTS(:,58) = strpad('RToF in component Environment (voltage_units)');
LEGEND_CONSTANTS(:,7) = strpad('Cm in component membrane (capacitance_units)');
LEGEND_STATES(:,1) = strpad('Vm in component membrane (voltage_units)');
LEGEND_STATES(:,2) = strpad('Ca_i_peripheral in component membrane (millimolar)');
LEGEND_STATES(:,3) = strpad('Ca_i_bulk in component membrane (millimolar)');
LEGEND_STATES(:,4) = strpad('Ca_sr in component membrane (millimolar)');
LEGEND_STATES(:,5) = strpad('Na_i in component membrane (millimolar)');
LEGEND_STATES(:,6) = strpad('K_i in component membrane (millimolar)');
LEGEND_ALGEBRAIC(:,44) = strpad('i_k1 in component i_k1 (current_units)');
LEGEND_ALGEBRAIC(:,34) = strpad('i_to_fast in component i_to_fast (current_units)');
LEGEND_ALGEBRAIC(:,37) = strpad('i_to_sustained in component i_to_sustained (current_units)');
LEGEND_ALGEBRAIC(:,47) = strpad('i_kr in component i_kr (current_units)');
LEGEND_ALGEBRAIC(:,49) = strpad('i_ks in component i_ks (current_units)');
LEGEND_ALGEBRAIC(:,55) = strpad('i_kb in component i_kb (current_units)');
LEGEND_ALGEBRAIC(:,53) = strpad('i_nak in component i_nak (current_units)');
LEGEND_ALGEBRAIC(:,32) = strpad('i_cal in component i_cal (current_units)');
LEGEND_ALGEBRAIC(:,26) = strpad('i_cat in component i_cat (current_units)');
LEGEND_ALGEBRAIC(:,39) = strpad('i_na_fast in component i_na_fast (current_units)');
LEGEND_ALGEBRAIC(:,41) = strpad('i_na_late in component i_na_late (current_units)');
LEGEND_ALGEBRAIC(:,60) = strpad('i_pmca in component i_pmca (current_units)');
LEGEND_ALGEBRAIC(:,59) = strpad('i_cab in component i_cab (current_units)');
LEGEND_ALGEBRAIC(:,67) = strpad('i_f_na in component i_f_na (current_units)');
LEGEND_ALGEBRAIC(:,63) = strpad('i_f_k in component i_f_k (current_units)');
LEGEND_ALGEBRAIC(:,50) = strpad('i_naca in component i_naca (current_units)');
LEGEND_ALGEBRAIC(:,57) = strpad('i_nab in component i_nab (current_units)');
LEGEND_ALGEBRAIC(:,1) = strpad('i_stim in component membrane (current_units)');
LEGEND_ALGEBRAIC(:,62) = strpad('i_rel_per in component i_rel_per (current_units)');
LEGEND_ALGEBRAIC(:,64) = strpad('i_serca_per in component i_serca_per (current_units)');
LEGEND_ALGEBRAIC(:,66) = strpad('i_serca_bulk in component i_serca_bulk (current_units)');
LEGEND_ALGEBRAIC(:,69) = strpad('i_diff in component i_diff (current_units)');
LEGEND_ALGEBRAIC(:,68) = strpad('i_leak in component i_leak (current_units)');
LEGEND_CONSTANTS(:,60) = strpad('peripheral_volume in component membrane (volume_units)');
LEGEND_CONSTANTS(:,59) = strpad('bulk_volume in component membrane (volume_units)');
LEGEND_CONSTANTS(:,62) = strpad('diffusable_volume in component membrane (volume_units)');
LEGEND_CONSTANTS(:,61) = strpad('sr_volume in component membrane (volume_units)');
LEGEND_CONSTANTS(:,8) = strpad('cell_volume in component membrane (volume_units)');
LEGEND_CONSTANTS(:,9) = strpad('bulk_fraction in component membrane (dimensionless)');
LEGEND_CONSTANTS(:,10) = strpad('periphery_fraction in component membrane (dimensionless)');
LEGEND_CONSTANTS(:,11) = strpad('sr_fraction in component membrane (dimensionless)');
LEGEND_CONSTANTS(:,12) = strpad('stim_start in component membrane (time_units)');
LEGEND_CONSTANTS(:,13) = strpad('stim_end in component membrane (time_units)');
LEGEND_CONSTANTS(:,14) = strpad('stim_period in component membrane (time_units)');
LEGEND_CONSTANTS(:,15) = strpad('stim_duration in component membrane (time_units)');
LEGEND_CONSTANTS(:,16) = strpad('stim_amplitude in component membrane (current_units)');
LEGEND_ALGEBRAIC(:,2) = strpad('x_inf_Ttype in component x_Ttype (dimensionless)');
LEGEND_CONSTANTS(:,17) = strpad('tau_x_Ttype in component x_Ttype (time_units)');
LEGEND_STATES(:,7) = strpad('x_Ttype in component x_Ttype (dimensionless)');
LEGEND_ALGEBRAIC(:,3) = strpad('y_inf_Ttype in component y_Ttype (dimensionless)');
LEGEND_ALGEBRAIC(:,18) = strpad('tau_y_Ttype in component y_Ttype (time_units)');
LEGEND_STATES(:,8) = strpad('y_Ttype in component y_Ttype (dimensionless)');
LEGEND_ALGEBRAIC(:,17) = strpad('E_Ca in component i_cat (voltage_units)');
LEGEND_CONSTANTS(:,18) = strpad('G_max_Ttype in component i_cat (conductance_units)');
LEGEND_ALGEBRAIC(:,4) = strpad('x_inf_Ltype in component x_Ltype (dimensionless)');
LEGEND_CONSTANTS(:,19) = strpad('tau_x_Ltype in component x_Ltype (time_units)');
LEGEND_STATES(:,9) = strpad('x_Ltype in component x_Ltype (dimensionless)');
LEGEND_ALGEBRAIC(:,5) = strpad('y_inf_Ltype in component y_Ltype (dimensionless)');
LEGEND_ALGEBRAIC(:,19) = strpad('tau_y_Ltype in component y_Ltype (time_units)');
LEGEND_STATES(:,10) = strpad('y_Ltype in component y_Ltype (dimensionless)');
LEGEND_ALGEBRAIC(:,6) = strpad('y_ca_inf_Ltype in component y_ca_Ltype (dimensionless)');
LEGEND_ALGEBRAIC(:,20) = strpad('tau_y_ca_Ltype in component y_ca_Ltype (time_units)');
LEGEND_STATES(:,11) = strpad('y_ca_Ltype in component y_ca_Ltype (dimensionless)');
LEGEND_ALGEBRAIC(:,29) = strpad('E_Ca in component i_cal (voltage_units)');
LEGEND_CONSTANTS(:,20) = strpad('G_max_Ltype in component i_cal (conductance_units)');
LEGEND_ALGEBRAIC(:,7) = strpad('x_inf_to_fast in component x_to_fast (dimensionless)');
LEGEND_CONSTANTS(:,21) = strpad('tau_x_to_fast in component x_to_fast (time_units)');
LEGEND_STATES(:,12) = strpad('x_to_fast in component x_to_fast (dimensionless)');
LEGEND_ALGEBRAIC(:,8) = strpad('y_inf_to_fast in component y_to_fast (dimensionless)');
LEGEND_CONSTANTS(:,22) = strpad('tau_y_to_fast in component y_to_fast (time_units)');
LEGEND_STATES(:,13) = strpad('y_to_fast in component y_to_fast (dimensionless)');
LEGEND_ALGEBRAIC(:,33) = strpad('E_k in component i_to_fast (voltage_units)');
LEGEND_CONSTANTS(:,23) = strpad('G_max_to_fast in component i_to_fast (conductance_units)');
LEGEND_ALGEBRAIC(:,35) = strpad('x_to_sustained in component x_to_sustained (dimensionless)');
LEGEND_ALGEBRAIC(:,36) = strpad('E_k in component i_to_sustained (voltage_units)');
LEGEND_CONSTANTS(:,24) = strpad('G_max_to_sustained in component i_to_sustained (conductance_units)');
LEGEND_ALGEBRAIC(:,9) = strpad('x_inf_na_fast in component x_na_fast (dimensionless)');
LEGEND_CONSTANTS(:,25) = strpad('tau_x_na_fast in component x_na_fast (time_units)');
LEGEND_STATES(:,14) = strpad('x_na_fast in component x_na_fast (dimensionless)');
LEGEND_ALGEBRAIC(:,10) = strpad('y_inf_na_fast in component y_na_fast (dimensionless)');
LEGEND_CONSTANTS(:,26) = strpad('tau_y_na_fast in component y_na_fast (time_units)');
LEGEND_STATES(:,15) = strpad('y_na_fast in component y_na_fast (dimensionless)');
LEGEND_ALGEBRAIC(:,38) = strpad('E_na in component i_na_fast (voltage_units)');
LEGEND_CONSTANTS(:,27) = strpad('G_max_na_fast in component i_na_fast (conductance_units)');
LEGEND_ALGEBRAIC(:,11) = strpad('x_inf_na_late in component x_na_late (dimensionless)');
LEGEND_CONSTANTS(:,28) = strpad('tau_x_na_late in component x_na_late (time_units)');
LEGEND_STATES(:,16) = strpad('x_na_late in component x_na_late (dimensionless)');
LEGEND_ALGEBRAIC(:,12) = strpad('y_inf_na_late in component y_na_late (dimensionless)');
LEGEND_ALGEBRAIC(:,21) = strpad('tau_y_na_late in component y_na_late (time_units)');
LEGEND_STATES(:,17) = strpad('y_na_late in component y_na_late (dimensionless)');
LEGEND_ALGEBRAIC(:,40) = strpad('E_na in component i_na_late (voltage_units)');
LEGEND_CONSTANTS(:,29) = strpad('G_max_na_late in component i_na_late (conductance_units)');
LEGEND_ALGEBRAIC(:,42) = strpad('x_k1 in component x_k1 (dimensionless)');
LEGEND_ALGEBRAIC(:,43) = strpad('E_k in component i_k1 (voltage_units)');
LEGEND_CONSTANTS(:,30) = strpad('G_max_k1 in component i_k1 (conductance_units)');
LEGEND_ALGEBRAIC(:,45) = strpad('x_kr in component x_kr (dimensionless)');
LEGEND_ALGEBRAIC(:,13) = strpad('y_inf_kr in component y_kr (dimensionless)');
LEGEND_ALGEBRAIC(:,30) = strpad('tau_y_kr in component y_kr (time_units)');
LEGEND_STATES(:,18) = strpad('y_kr in component y_kr (dimensionless)');
LEGEND_ALGEBRAIC(:,22) = strpad('ykrv1 in component y_kr (rate_constants_units)');
LEGEND_ALGEBRAIC(:,27) = strpad('ykrv2 in component y_kr (rate_constants_units)');
LEGEND_ALGEBRAIC(:,46) = strpad('E_k in component i_kr (voltage_units)');
LEGEND_CONSTANTS(:,31) = strpad('G_max_kr in component i_kr (conductance_units)');
LEGEND_ALGEBRAIC(:,14) = strpad('x_inf_ks in component x_ks (dimensionless)');
LEGEND_ALGEBRAIC(:,23) = strpad('tau_x_ks in component x_ks (time_units)');
LEGEND_STATES(:,19) = strpad('x_ks in component x_ks (dimensionless)');
LEGEND_ALGEBRAIC(:,28) = strpad('y_inf_ks in component y_ks (dimensionless)');
LEGEND_ALGEBRAIC(:,31) = strpad('tau_y_ks in component y_ks (time_units)');
LEGEND_STATES(:,20) = strpad('y_ks in component y_ks (dimensionless)');
LEGEND_ALGEBRAIC(:,48) = strpad('E_k in component i_ks (voltage_units)');
LEGEND_CONSTANTS(:,32) = strpad('G_max_ks in component i_ks (conductance_units)');
LEGEND_CONSTANTS(:,33) = strpad('n_NaCa in component i_naca (dimensionless)');
LEGEND_CONSTANTS(:,34) = strpad('g_NaCa in component i_naca (current_units)');
LEGEND_CONSTANTS(:,35) = strpad('d_NaCa in component i_naca (dimensionless)');
LEGEND_CONSTANTS(:,36) = strpad('gamma in component i_naca (dimensionless)');
LEGEND_ALGEBRAIC(:,51) = strpad('x_nak in component x_nak (dimensionless)');
LEGEND_ALGEBRAIC(:,52) = strpad('y_nak in component y_nak (dimensionless)');
LEGEND_CONSTANTS(:,37) = strpad('g_nak in component i_nak (current_units)');
LEGEND_ALGEBRAIC(:,54) = strpad('E_k in component i_kb (voltage_units)');
LEGEND_CONSTANTS(:,38) = strpad('G_max_kb in component i_kb (conductance_units)');
LEGEND_ALGEBRAIC(:,56) = strpad('E_na in component i_nab (voltage_units)');
LEGEND_CONSTANTS(:,39) = strpad('G_max_nab in component i_nab (conductance_units)');
LEGEND_ALGEBRAIC(:,58) = strpad('E_ca in component i_cab (voltage_units)');
LEGEND_CONSTANTS(:,40) = strpad('G_max_cab in component i_cab (conductance_units)');
LEGEND_CONSTANTS(:,41) = strpad('PMCA_max in component i_pmca (current_units)');
LEGEND_CONSTANTS(:,42) = strpad('Kpmca in component i_pmca (millimolar)');
LEGEND_CONSTANTS(:,43) = strpad('Hpmca in component i_pmca (dimensionless)');
LEGEND_CONSTANTS(:,44) = strpad('G_f_k in component i_f_k (conductance_units)');
LEGEND_ALGEBRAIC(:,61) = strpad('E_k in component i_f_k (voltage_units)');
LEGEND_STATES(:,21) = strpad('y_gate_f_k in component y_gate_f_k (dimensionless)');
LEGEND_CONSTANTS(:,45) = strpad('G_f_na in component i_f_na (conductance_units)');
LEGEND_ALGEBRAIC(:,65) = strpad('E_na in component i_f_na (voltage_units)');
LEGEND_STATES(:,22) = strpad('y_gate_f_na in component y_gate_f_na (dimensionless)');
LEGEND_ALGEBRAIC(:,15) = strpad('y_inf_f_gate in component y_gate_f_k (dimensionless)');
LEGEND_ALGEBRAIC(:,24) = strpad('tau_y_f_gate in component y_gate_f_k (time_units)');
LEGEND_ALGEBRAIC(:,16) = strpad('y_inf_f_gate in component y_gate_f_na (dimensionless)');
LEGEND_ALGEBRAIC(:,25) = strpad('tau_y_f_gate in component y_gate_f_na (time_units)');
LEGEND_CONSTANTS(:,46) = strpad('REL_max in component i_rel_per (current_per_millimolar_units)');
LEGEND_CONSTANTS(:,47) = strpad('Krel in component i_rel_per (millimolar)');
LEGEND_CONSTANTS(:,48) = strpad('SERCA_max in component i_serca_per (current_units)');
LEGEND_CONSTANTS(:,49) = strpad('Kmf in component i_serca_per (millimolar)');
LEGEND_CONSTANTS(:,50) = strpad('Kmr in component i_serca_per (millimolar)');
LEGEND_CONSTANTS(:,51) = strpad('H in component i_serca_per (dimensionless)');
LEGEND_CONSTANTS(:,52) = strpad('Kmf in component i_serca_bulk (millimolar)');
LEGEND_CONSTANTS(:,53) = strpad('Kmr in component i_serca_bulk (millimolar)');
LEGEND_CONSTANTS(:,54) = strpad('H in component i_serca_bulk (dimensionless)');
LEGEND_CONSTANTS(:,55) = strpad('LEAK_max in component i_leak (current_per_millimolar_units)');
LEGEND_CONSTANTS(:,56) = strpad('DIFF_max in component i_diff (current_per_millimolar_units)');
LEGEND_RATES(:,1) = strpad('d/dt Vm in component membrane (voltage_units)');
LEGEND_RATES(:,2) = strpad('d/dt Ca_i_peripheral in component membrane (millimolar)');
LEGEND_RATES(:,3) = strpad('d/dt Ca_i_bulk in component membrane (millimolar)');
LEGEND_RATES(:,4) = strpad('d/dt Ca_sr in component membrane (millimolar)');
LEGEND_RATES(:,6) = strpad('d/dt K_i in component membrane (millimolar)');
LEGEND_RATES(:,5) = strpad('d/dt Na_i in component membrane (millimolar)');
LEGEND_RATES(:,7) = strpad('d/dt x_Ttype in component x_Ttype (dimensionless)');
LEGEND_RATES(:,8) = strpad('d/dt y_Ttype in component y_Ttype (dimensionless)');
LEGEND_RATES(:,9) = strpad('d/dt x_Ltype in component x_Ltype (dimensionless)');
LEGEND_RATES(:,10) = strpad('d/dt y_Ltype in component y_Ltype (dimensionless)');
LEGEND_RATES(:,11) = strpad('d/dt y_ca_Ltype in component y_ca_Ltype (dimensionless)');
LEGEND_RATES(:,12) = strpad('d/dt x_to_fast in component x_to_fast (dimensionless)');
LEGEND_RATES(:,13) = strpad('d/dt y_to_fast in component y_to_fast (dimensionless)');
LEGEND_RATES(:,14) = strpad('d/dt x_na_fast in component x_na_fast (dimensionless)');
LEGEND_RATES(:,15) = strpad('d/dt y_na_fast in component y_na_fast (dimensionless)');
LEGEND_RATES(:,16) = strpad('d/dt x_na_late in component x_na_late (dimensionless)');
LEGEND_RATES(:,17) = strpad('d/dt y_na_late in component y_na_late (dimensionless)');
LEGEND_RATES(:,18) = strpad('d/dt y_kr in component y_kr (dimensionless)');
LEGEND_RATES(:,19) = strpad('d/dt x_ks in component x_ks (dimensionless)');
LEGEND_RATES(:,20) = strpad('d/dt y_ks in component y_ks (dimensionless)');
LEGEND_RATES(:,21) = strpad('d/dt y_gate_f_k in component y_gate_f_k (dimensionless)');
LEGEND_RATES(:,22) = strpad('d/dt y_gate_f_na in component y_gate_f_na (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) = 310.0;
CONSTANTS(:,2) = 96485.3415;
CONSTANTS(:,3) = 8314.472;
CONSTANTS(:,4) = 2.0;
CONSTANTS(:,5) = 140;
CONSTANTS(:,6) = 5.4;
CONSTANTS(:,7) = 69.0;
STATES(:,1) = -88.34;
STATES(:,2) = 0.00001;
STATES(:,3) = 0.000032;
STATES(:,4) = 0.17;
STATES(:,5) = 6.7;
STATES(:,6) = 140;
CONSTANTS(:,8) = 13266.5;
CONSTANTS(:,9) = 0.6;
CONSTANTS(:,10) = 0.2;
CONSTANTS(:,11) = 0.06;
CONSTANTS(:,12) = 700;
CONSTANTS(:,13) = 9000000;
CONSTANTS(:,14) = 500;
CONSTANTS(:,15) = 0.5;
CONSTANTS(:,16) = -4320.0;
CONSTANTS(:,17) = 1.0;
STATES(:,7) = 0.001337;
STATES(:,8) = 0.01;
CONSTANTS(:,18) = 0.9;
CONSTANTS(:,19) = 0.7;
STATES(:,9) = 0.000003;
STATES(:,10) = 0.1;
STATES(:,11) = 0.7;
CONSTANTS(:,20) = 5.4;
CONSTANTS(:,21) = 5.0;
STATES(:,12) = 0.0;
CONSTANTS(:,22) = 350.0;
STATES(:,13) = 0.7;
CONSTANTS(:,23) = 10.0;
CONSTANTS(:,24) = 3.0;
CONSTANTS(:,25) = 0.005;
STATES(:,14) = 0.000007;
CONSTANTS(:,26) = 2.0;
STATES(:,15) = 0.978861;
CONSTANTS(:,27) = 1140.0;
CONSTANTS(:,28) = 15.0;
STATES(:,16) = 0.000012;
STATES(:,17) = 0.864489;
CONSTANTS(:,29) = 2.0;
CONSTANTS(:,30) = 20.0;
STATES(:,18) = 0.25;
CONSTANTS(:,31) = 1.5;
STATES(:,19) = 1.0;
STATES(:,20) = 0.0;
CONSTANTS(:,32) = 3.0;
CONSTANTS(:,33) = 3;
CONSTANTS(:,34) = 0.001;
CONSTANTS(:,35) = 0.001;
CONSTANTS(:,36) = 0.5;
CONSTANTS(:,37) = 442.2;
CONSTANTS(:,38) = 0.01;
CONSTANTS(:,39) = 0.01;
CONSTANTS(:,40) = 0.0001;
CONSTANTS(:,41) = 5.0;
CONSTANTS(:,42) = 0.0001;
CONSTANTS(:,43) = 1.5;
CONSTANTS(:,44) = 0.188709677;
STATES(:,21) = 0.011099;
CONSTANTS(:,45) = 0.045290323;
STATES(:,22) = 0.011099;
CONSTANTS(:,46) = 2500.0;
CONSTANTS(:,47) = 0.001;
CONSTANTS(:,48) = 120.0;
CONSTANTS(:,49) = 0.000246;
CONSTANTS(:,50) = 1.7;
CONSTANTS(:,51) = 1.6;
CONSTANTS(:,52) = 0.000246;
CONSTANTS(:,53) = 1.7;
CONSTANTS(:,54) = 1.6;
CONSTANTS(:,55) = 10.0;
CONSTANTS(:,56) = 5000.0;
CONSTANTS(:,57) = CONSTANTS(:,2)./( CONSTANTS(:,3).*CONSTANTS(:,1));
CONSTANTS(:,58) = ( CONSTANTS(:,3).*CONSTANTS(:,1))./CONSTANTS(:,2);
CONSTANTS(:,59) = CONSTANTS(:,9).*CONSTANTS(:,8);
CONSTANTS(:,60) = CONSTANTS(:,10).*CONSTANTS(:,8);
CONSTANTS(:,61) = CONSTANTS(:,11).*CONSTANTS(:,8);
CONSTANTS(:,62) = (CONSTANTS(:,9)+CONSTANTS(:,10)).*CONSTANTS(:,8);
if (isempty(STATES)), warning('Initial values for states not set');, end
end
function [RATES, ALGEBRAIC] = computeRates(VOI, STATES, CONSTANTS)
global algebraicVariableCount;
statesSize = size(STATES);
statesColumnCount = statesSize(2);
if ( statesColumnCount == 1)
STATES = STATES';
ALGEBRAIC = zeros(1, algebraicVariableCount);
utilOnes = 1;
else
statesRowCount = statesSize(1);
ALGEBRAIC = zeros(statesRowCount, algebraicVariableCount);
RATES = zeros(statesRowCount, statesColumnCount);
utilOnes = ones(statesRowCount, 1);
end
ALGEBRAIC(:,2) = 1.00000./(1.00000+exp((STATES(:,1)+47.8000)./-5.50000));
RATES(:,7) = (ALGEBRAIC(:,2) - STATES(:,7))./CONSTANTS(:,17);
ALGEBRAIC(:,4) = 1.00000./(1.00000+exp((STATES(:,1)+14.6000)./-5.50000));
RATES(:,9) = (ALGEBRAIC(:,4) - STATES(:,9))./CONSTANTS(:,19);
ALGEBRAIC(:,7) = 1.00000./(1.00000+exp((STATES(:,1)+-7.00000)./-9.00000));
RATES(:,12) = (ALGEBRAIC(:,7) - STATES(:,12))./CONSTANTS(:,21);
ALGEBRAIC(:,8) = 1.00000./(1.00000+exp((STATES(:,1)+27.5000)./8.00000));
RATES(:,13) = (ALGEBRAIC(:,8) - STATES(:,13))./CONSTANTS(:,22);
ALGEBRAIC(:,9) = 1.00000./(1.00000+exp((STATES(:,1)+25.0000)./-5.00000));
RATES(:,14) = (ALGEBRAIC(:,9) - STATES(:,14))./CONSTANTS(:,25);
ALGEBRAIC(:,10) = 1.00000./(1.00000+exp((STATES(:,1)+69.0000)./3.96000));
RATES(:,15) = (ALGEBRAIC(:,10) - STATES(:,15))./CONSTANTS(:,26);
ALGEBRAIC(:,11) = 1.00000./(1.00000+exp((STATES(:,1)+30.0000)./-5.00000));
RATES(:,16) = (ALGEBRAIC(:,11) - STATES(:,16))./CONSTANTS(:,28);
ALGEBRAIC(:,3) = 1.00000./(1.00000+exp((STATES(:,1)+67.9000)./3.87000));
ALGEBRAIC(:,18) = 1.42271.*exp( -0.0511900.*STATES(:,1));
RATES(:,8) = (ALGEBRAIC(:,3) - STATES(:,8))./ALGEBRAIC(:,18);
ALGEBRAIC(:,5) = 1.00000./(1.00000+exp((STATES(:,1)+31.0000)./5.54000));
ALGEBRAIC(:,19) = 25.1000./(0.0400000+ 0.700000.*exp( -1.00000.*power( 0.0280000.*(STATES(:,1)+14.5000), 2.00000)));
RATES(:,10) = (ALGEBRAIC(:,5) - STATES(:,10))./ALGEBRAIC(:,19);
ALGEBRAIC(:,6) = 0.400000+0.600000./(1.00000+power(STATES(:,2)./0.000100000, 2.00000));
ALGEBRAIC(:,20) = 2.00000+80.0000./(1.00000+power(STATES(:,2)./0.000100000, 2.00000));
RATES(:,11) = (ALGEBRAIC(:,6) - STATES(:,11))./ALGEBRAIC(:,20);
ALGEBRAIC(:,12) = 0.100000+0.900000./(1.00000+exp((STATES(:,1)+75.6000)./6.30000));
ALGEBRAIC(:,21) = 120.000+ 1.00000.*exp((STATES(:,1)+100.000)./25.0000);
RATES(:,17) = (ALGEBRAIC(:,12) - STATES(:,17))./ALGEBRAIC(:,21);
ALGEBRAIC(:,14) = 1.00000./(1.00000+exp((STATES(:,1) - 1.50000)./-16.7000));
ALGEBRAIC(:,23) = piecewise({abs(STATES(:,1)+30.0000)<0.0145000, 417.946 }, 1.00000./(( 7.19000e-05.*(STATES(:,1)+30.0000))./(1.00000 - exp( -0.148000.*(STATES(:,1)+30.0000)))+( 0.000131000.*(STATES(:,1)+30.0000))./(exp( 0.0687000.*(STATES(:,1)+30.0000)) - 1.00000)));
RATES(:,19) = (ALGEBRAIC(:,14) - STATES(:,19))./ALGEBRAIC(:,23);
ALGEBRAIC(:,15) = 1.00000./(1.00000+exp((STATES(:,1)+109.000)./10.0000));
ALGEBRAIC(:,24) = 6000.00./(exp( -1.00000.*(2.90000+ 0.0400000.*STATES(:,1)))+exp( 1.00000.*(3.60000+ 0.110000.*STATES(:,1))));
RATES(:,21) = (ALGEBRAIC(:,15) - STATES(:,21))./ALGEBRAIC(:,24);
ALGEBRAIC(:,16) = 1.00000./(1.00000+exp((STATES(:,1)+109.000)./10.0000));
ALGEBRAIC(:,25) = 6000.00./(exp( -1.00000.*(2.90000+ 0.0400000.*STATES(:,1)))+exp( 1.00000.*(3.60000+ 0.110000.*STATES(:,1))));
RATES(:,22) = (ALGEBRAIC(:,16) - STATES(:,22))./ALGEBRAIC(:,25);
ALGEBRAIC(:,13) = 1.00000./(1.00000+exp((STATES(:,1)+50.0000)./-7.50000));
ALGEBRAIC(:,22) = piecewise({abs(STATES(:,1)+7.00000)>0.00100000, ( 0.00138000.*1.00000.*(STATES(:,1)+7.00000))./(1.00000 - exp( -0.123000.*(STATES(:,1)+7.00000))) }, 0.00138000./0.123000);
ALGEBRAIC(:,27) = piecewise({abs(STATES(:,1)+10.0000)>0.00100000, ( 6.10000e-05.*1.00000.*(STATES(:,1)+10.0000))./(exp( 0.145000.*(STATES(:,1)+10.0000)) - 1.00000) }, 0.000610000./0.145000);
ALGEBRAIC(:,30) = 1.00000./(ALGEBRAIC(:,22)+ALGEBRAIC(:,27));
RATES(:,18) = (ALGEBRAIC(:,13) - STATES(:,18))./ALGEBRAIC(:,30);
ALGEBRAIC(:,28) = ALGEBRAIC(:,14);
ALGEBRAIC(:,31) = 4.00000.*ALGEBRAIC(:,23);
RATES(:,20) = (ALGEBRAIC(:,28) - STATES(:,20))./ALGEBRAIC(:,31);
ALGEBRAIC(:,42) = 1.00000./(1.00000+exp((92.0000+STATES(:,1))./10.0000));
ALGEBRAIC(:,43) = CONSTANTS(:,58).*log(CONSTANTS(:,6)./STATES(:,6));
ALGEBRAIC(:,44) = CONSTANTS(:,30).*power(CONSTANTS(:,6)./5.40000, 0.800000).*ALGEBRAIC(:,42).*(STATES(:,1) - ALGEBRAIC(:,43));
ALGEBRAIC(:,33) = CONSTANTS(:,58).*log(CONSTANTS(:,6)./STATES(:,6));
ALGEBRAIC(:,34) = CONSTANTS(:,23).*STATES(:,12).*STATES(:,13).*(STATES(:,1) - ALGEBRAIC(:,33));
ALGEBRAIC(:,35) = 1.00000./(1.00000+exp((5.00000 - STATES(:,1))./17.0000));
ALGEBRAIC(:,36) = CONSTANTS(:,58).*log(CONSTANTS(:,6)./STATES(:,6));
ALGEBRAIC(:,37) = CONSTANTS(:,24).*ALGEBRAIC(:,35).*(STATES(:,1) - ALGEBRAIC(:,36));
ALGEBRAIC(:,45) = 1.00000./(1.00000+exp((33.0000+STATES(:,1))./22.4000));
ALGEBRAIC(:,46) = CONSTANTS(:,58).*log(CONSTANTS(:,6)./STATES(:,6));
ALGEBRAIC(:,47) = CONSTANTS(:,31).*power(CONSTANTS(:,6)./5.40000, 1.00000).*ALGEBRAIC(:,45).*STATES(:,18).*(STATES(:,1) - ALGEBRAIC(:,46));
ALGEBRAIC(:,48) = CONSTANTS(:,58).*log(CONSTANTS(:,6)./STATES(:,6));
ALGEBRAIC(:,49) = CONSTANTS(:,32).*STATES(:,19).*STATES(:,20).*(STATES(:,1) - ALGEBRAIC(:,48));
ALGEBRAIC(:,54) = CONSTANTS(:,58).*log(CONSTANTS(:,6)./STATES(:,6));
ALGEBRAIC(:,55) = CONSTANTS(:,38).*(STATES(:,1) - ALGEBRAIC(:,54));
ALGEBRAIC(:,51) = 1.00000./(1.00000+exp((STATES(:,1)+80.0000)./-45.0000));
ALGEBRAIC(:,52) = 1.00000./(1.00000+exp((STATES(:,1)+0.00000)./125.000));
ALGEBRAIC(:,53) = CONSTANTS(:,37).*ALGEBRAIC(:,51).*ALGEBRAIC(:,52).*(1.00000./(1.00000+power(1.90000./CONSTANTS(:,6), 1.45000))).*(1.00000./(1.00000+power(31.9800./STATES(:,5), 1.00000)));
ALGEBRAIC(:,61) = CONSTANTS(:,58).*log(CONSTANTS(:,6)./STATES(:,6));
ALGEBRAIC(:,63) = CONSTANTS(:,44).*STATES(:,21).*(STATES(:,1) - ALGEBRAIC(:,61));
ALGEBRAIC(:,1) = piecewise({VOI>=CONSTANTS(:,12)&VOI<=CONSTANTS(:,13)&(VOI - CONSTANTS(:,12)) - floor((VOI - CONSTANTS(:,12))./CONSTANTS(:,14)).*CONSTANTS(:,14)<=CONSTANTS(:,15), CONSTANTS(:,16) }, 0.00000);
RATES(:,6) = ( ( -1.00000.*ALGEBRAIC(:,34)+ -1.00000.*ALGEBRAIC(:,37)+ -1.00000.*ALGEBRAIC(:,47)+ -1.00000.*ALGEBRAIC(:,49)+ -1.00000.*ALGEBRAIC(:,44)+ -1.00000.*ALGEBRAIC(:,55)+ -1.00000.*ALGEBRAIC(:,63)+ -1.00000.*ALGEBRAIC(:,1)+ 2.00000.*ALGEBRAIC(:,53)).*1000.00)./( CONSTANTS(:,2).*CONSTANTS(:,62));
ALGEBRAIC(:,29) = 0.500000.*CONSTANTS(:,58).*log(CONSTANTS(:,4)./STATES(:,2));
ALGEBRAIC(:,32) = CONSTANTS(:,20).*STATES(:,9).*STATES(:,10).*STATES(:,11).*(STATES(:,1) - ALGEBRAIC(:,29));
ALGEBRAIC(:,17) = 0.500000.*CONSTANTS(:,58).*log(CONSTANTS(:,4)./STATES(:,2));
ALGEBRAIC(:,26) = CONSTANTS(:,18).*STATES(:,7).*STATES(:,8).*(STATES(:,1) - ALGEBRAIC(:,17));
ALGEBRAIC(:,38) = CONSTANTS(:,58).*log(CONSTANTS(:,5)./STATES(:,5));
ALGEBRAIC(:,39) = CONSTANTS(:,27).*STATES(:,14).*STATES(:,15).*(STATES(:,1) - ALGEBRAIC(:,38));
ALGEBRAIC(:,40) = CONSTANTS(:,58).*log(CONSTANTS(:,5)./STATES(:,5));
ALGEBRAIC(:,41) = CONSTANTS(:,29).*STATES(:,16).*STATES(:,17).*(STATES(:,1) - ALGEBRAIC(:,40));
ALGEBRAIC(:,60) = CONSTANTS(:,41).*(1.00000./(1.00000+power(CONSTANTS(:,42)./STATES(:,2), CONSTANTS(:,43))));
ALGEBRAIC(:,58) = 0.500000.*CONSTANTS(:,58).*log(CONSTANTS(:,4)./STATES(:,2));
ALGEBRAIC(:,59) = CONSTANTS(:,40).*(STATES(:,1) - ALGEBRAIC(:,58));
ALGEBRAIC(:,65) = CONSTANTS(:,58).*log(CONSTANTS(:,5)./STATES(:,5));
ALGEBRAIC(:,67) = CONSTANTS(:,45).*STATES(:,22).*(STATES(:,1) - ALGEBRAIC(:,65));
ALGEBRAIC(:,50) = ( 512.009.*CONSTANTS(:,34).*( exp(( CONSTANTS(:,36).*(CONSTANTS(:,33) - 2.00000).*STATES(:,1))./CONSTANTS(:,58)).*power(STATES(:,5), CONSTANTS(:,33)).*CONSTANTS(:,4) - STATES(:,2).*exp(( (CONSTANTS(:,36) - 1.00000).*(CONSTANTS(:,33) - 2.00000).*STATES(:,1))./CONSTANTS(:,58)).*power(CONSTANTS(:,5), CONSTANTS(:,33))))./( (1.00000+ CONSTANTS(:,35).*( STATES(:,2).*power(CONSTANTS(:,5), CONSTANTS(:,33))+ CONSTANTS(:,4).*power(STATES(:,5), CONSTANTS(:,33)))).*(1.00000+STATES(:,2)./0.00690000));
ALGEBRAIC(:,56) = CONSTANTS(:,58).*log(CONSTANTS(:,5)./STATES(:,5));
ALGEBRAIC(:,57) = CONSTANTS(:,39).*(STATES(:,1) - ALGEBRAIC(:,56));
RATES(:,1) = (( - 1.00000.*1.00000)./CONSTANTS(:,7)).*(ALGEBRAIC(:,44)+ALGEBRAIC(:,34)+ALGEBRAIC(:,37)+ALGEBRAIC(:,47)+ALGEBRAIC(:,49)+ALGEBRAIC(:,55)+ALGEBRAIC(:,53)+ALGEBRAIC(:,32)+ALGEBRAIC(:,26)+ALGEBRAIC(:,39)+ALGEBRAIC(:,41)+ALGEBRAIC(:,60)+ALGEBRAIC(:,59)+ALGEBRAIC(:,67)+ALGEBRAIC(:,63)+ALGEBRAIC(:,50)+ALGEBRAIC(:,57)+ALGEBRAIC(:,1));
ALGEBRAIC(:,62) = CONSTANTS(:,46).*(STATES(:,4)./(1.00000+power(CONSTANTS(:,47)./STATES(:,2), 2.00000)));
ALGEBRAIC(:,64) = CONSTANTS(:,48).*((power(STATES(:,2)./CONSTANTS(:,49), CONSTANTS(:,51)) - power(STATES(:,4)./CONSTANTS(:,50), CONSTANTS(:,51)))./(1.00000+power(STATES(:,2)./CONSTANTS(:,49), CONSTANTS(:,51))+power(STATES(:,4)./CONSTANTS(:,50), CONSTANTS(:,51))));
ALGEBRAIC(:,66) = CONSTANTS(:,48).*((power(STATES(:,3)./CONSTANTS(:,52), CONSTANTS(:,54)) - power(STATES(:,4)./CONSTANTS(:,53), CONSTANTS(:,54)))./(1.00000+power(STATES(:,3)./CONSTANTS(:,52), CONSTANTS(:,54))+power(STATES(:,4)./CONSTANTS(:,53), CONSTANTS(:,54))));
ALGEBRAIC(:,68) = CONSTANTS(:,55).*(STATES(:,4) - STATES(:,3));
RATES(:,4) = ( ( -1.00000.*ALGEBRAIC(:,62)+ -1.00000.*ALGEBRAIC(:,68)+ALGEBRAIC(:,66)+ALGEBRAIC(:,64)).*1000.00)./( 2.00000.*CONSTANTS(:,2).*CONSTANTS(:,61));
RATES(:,5) = ( ( -1.00000.*ALGEBRAIC(:,39)+ -1.00000.*ALGEBRAIC(:,41)+ -3.00000.*ALGEBRAIC(:,53)+ -3.00000.*ALGEBRAIC(:,50)+ -1.00000.*ALGEBRAIC(:,67)+ -1.00000.*ALGEBRAIC(:,57)).*1000.00)./( CONSTANTS(:,2).*CONSTANTS(:,62));
ALGEBRAIC(:,69) = CONSTANTS(:,56).*(STATES(:,2) - STATES(:,3));
RATES(:,2) = ( ( -1.00000.*ALGEBRAIC(:,32)+ -1.00000.*ALGEBRAIC(:,26)+ -1.00000.*ALGEBRAIC(:,59)+ 1.00000.*ALGEBRAIC(:,62)+ -1.00000.*ALGEBRAIC(:,64)+ -1.00000.*ALGEBRAIC(:,69)+ 2.00000.*ALGEBRAIC(:,50)+ -1.00000.*ALGEBRAIC(:,60)).*1000.00)./( 2.00000.*CONSTANTS(:,2).*CONSTANTS(:,60));
RATES(:,3) = ( ( -1.00000.*ALGEBRAIC(:,66)+ALGEBRAIC(:,69)+ALGEBRAIC(:,68)).*1000.00)./( 2.00000.*CONSTANTS(:,2).*CONSTANTS(:,59));
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(:,2) = 1.00000./(1.00000+exp((STATES(:,1)+47.8000)./-5.50000));
ALGEBRAIC(:,4) = 1.00000./(1.00000+exp((STATES(:,1)+14.6000)./-5.50000));
ALGEBRAIC(:,7) = 1.00000./(1.00000+exp((STATES(:,1)+-7.00000)./-9.00000));
ALGEBRAIC(:,8) = 1.00000./(1.00000+exp((STATES(:,1)+27.5000)./8.00000));
ALGEBRAIC(:,9) = 1.00000./(1.00000+exp((STATES(:,1)+25.0000)./-5.00000));
ALGEBRAIC(:,10) = 1.00000./(1.00000+exp((STATES(:,1)+69.0000)./3.96000));
ALGEBRAIC(:,11) = 1.00000./(1.00000+exp((STATES(:,1)+30.0000)./-5.00000));
ALGEBRAIC(:,3) = 1.00000./(1.00000+exp((STATES(:,1)+67.9000)./3.87000));
ALGEBRAIC(:,18) = 1.42271.*exp( -0.0511900.*STATES(:,1));
ALGEBRAIC(:,5) = 1.00000./(1.00000+exp((STATES(:,1)+31.0000)./5.54000));
ALGEBRAIC(:,19) = 25.1000./(0.0400000+ 0.700000.*exp( -1.00000.*power( 0.0280000.*(STATES(:,1)+14.5000), 2.00000)));
ALGEBRAIC(:,6) = 0.400000+0.600000./(1.00000+power(STATES(:,2)./0.000100000, 2.00000));
ALGEBRAIC(:,20) = 2.00000+80.0000./(1.00000+power(STATES(:,2)./0.000100000, 2.00000));
ALGEBRAIC(:,12) = 0.100000+0.900000./(1.00000+exp((STATES(:,1)+75.6000)./6.30000));
ALGEBRAIC(:,21) = 120.000+ 1.00000.*exp((STATES(:,1)+100.000)./25.0000);
ALGEBRAIC(:,14) = 1.00000./(1.00000+exp((STATES(:,1) - 1.50000)./-16.7000));
ALGEBRAIC(:,23) = piecewise({abs(STATES(:,1)+30.0000)<0.0145000, 417.946 }, 1.00000./(( 7.19000e-05.*(STATES(:,1)+30.0000))./(1.00000 - exp( -0.148000.*(STATES(:,1)+30.0000)))+( 0.000131000.*(STATES(:,1)+30.0000))./(exp( 0.0687000.*(STATES(:,1)+30.0000)) - 1.00000)));
ALGEBRAIC(:,15) = 1.00000./(1.00000+exp((STATES(:,1)+109.000)./10.0000));
ALGEBRAIC(:,24) = 6000.00./(exp( -1.00000.*(2.90000+ 0.0400000.*STATES(:,1)))+exp( 1.00000.*(3.60000+ 0.110000.*STATES(:,1))));
ALGEBRAIC(:,16) = 1.00000./(1.00000+exp((STATES(:,1)+109.000)./10.0000));
ALGEBRAIC(:,25) = 6000.00./(exp( -1.00000.*(2.90000+ 0.0400000.*STATES(:,1)))+exp( 1.00000.*(3.60000+ 0.110000.*STATES(:,1))));
ALGEBRAIC(:,13) = 1.00000./(1.00000+exp((STATES(:,1)+50.0000)./-7.50000));
ALGEBRAIC(:,22) = piecewise({abs(STATES(:,1)+7.00000)>0.00100000, ( 0.00138000.*1.00000.*(STATES(:,1)+7.00000))./(1.00000 - exp( -0.123000.*(STATES(:,1)+7.00000))) }, 0.00138000./0.123000);
ALGEBRAIC(:,27) = piecewise({abs(STATES(:,1)+10.0000)>0.00100000, ( 6.10000e-05.*1.00000.*(STATES(:,1)+10.0000))./(exp( 0.145000.*(STATES(:,1)+10.0000)) - 1.00000) }, 0.000610000./0.145000);
ALGEBRAIC(:,30) = 1.00000./(ALGEBRAIC(:,22)+ALGEBRAIC(:,27));
ALGEBRAIC(:,28) = ALGEBRAIC(:,14);
ALGEBRAIC(:,31) = 4.00000.*ALGEBRAIC(:,23);
ALGEBRAIC(:,42) = 1.00000./(1.00000+exp((92.0000+STATES(:,1))./10.0000));
ALGEBRAIC(:,43) = CONSTANTS(:,58).*log(CONSTANTS(:,6)./STATES(:,6));
ALGEBRAIC(:,44) = CONSTANTS(:,30).*power(CONSTANTS(:,6)./5.40000, 0.800000).*ALGEBRAIC(:,42).*(STATES(:,1) - ALGEBRAIC(:,43));
ALGEBRAIC(:,33) = CONSTANTS(:,58).*log(CONSTANTS(:,6)./STATES(:,6));
ALGEBRAIC(:,34) = CONSTANTS(:,23).*STATES(:,12).*STATES(:,13).*(STATES(:,1) - ALGEBRAIC(:,33));
ALGEBRAIC(:,35) = 1.00000./(1.00000+exp((5.00000 - STATES(:,1))./17.0000));
ALGEBRAIC(:,36) = CONSTANTS(:,58).*log(CONSTANTS(:,6)./STATES(:,6));
ALGEBRAIC(:,37) = CONSTANTS(:,24).*ALGEBRAIC(:,35).*(STATES(:,1) - ALGEBRAIC(:,36));
ALGEBRAIC(:,45) = 1.00000./(1.00000+exp((33.0000+STATES(:,1))./22.4000));
ALGEBRAIC(:,46) = CONSTANTS(:,58).*log(CONSTANTS(:,6)./STATES(:,6));
ALGEBRAIC(:,47) = CONSTANTS(:,31).*power(CONSTANTS(:,6)./5.40000, 1.00000).*ALGEBRAIC(:,45).*STATES(:,18).*(STATES(:,1) - ALGEBRAIC(:,46));
ALGEBRAIC(:,48) = CONSTANTS(:,58).*log(CONSTANTS(:,6)./STATES(:,6));
ALGEBRAIC(:,49) = CONSTANTS(:,32).*STATES(:,19).*STATES(:,20).*(STATES(:,1) - ALGEBRAIC(:,48));
ALGEBRAIC(:,54) = CONSTANTS(:,58).*log(CONSTANTS(:,6)./STATES(:,6));
ALGEBRAIC(:,55) = CONSTANTS(:,38).*(STATES(:,1) - ALGEBRAIC(:,54));
ALGEBRAIC(:,51) = 1.00000./(1.00000+exp((STATES(:,1)+80.0000)./-45.0000));
ALGEBRAIC(:,52) = 1.00000./(1.00000+exp((STATES(:,1)+0.00000)./125.000));
ALGEBRAIC(:,53) = CONSTANTS(:,37).*ALGEBRAIC(:,51).*ALGEBRAIC(:,52).*(1.00000./(1.00000+power(1.90000./CONSTANTS(:,6), 1.45000))).*(1.00000./(1.00000+power(31.9800./STATES(:,5), 1.00000)));
ALGEBRAIC(:,61) = CONSTANTS(:,58).*log(CONSTANTS(:,6)./STATES(:,6));
ALGEBRAIC(:,63) = CONSTANTS(:,44).*STATES(:,21).*(STATES(:,1) - ALGEBRAIC(:,61));
ALGEBRAIC(:,1) = piecewise({VOI>=CONSTANTS(:,12)&VOI<=CONSTANTS(:,13)&(VOI - CONSTANTS(:,12)) - floor((VOI - CONSTANTS(:,12))./CONSTANTS(:,14)).*CONSTANTS(:,14)<=CONSTANTS(:,15), CONSTANTS(:,16) }, 0.00000);
ALGEBRAIC(:,29) = 0.500000.*CONSTANTS(:,58).*log(CONSTANTS(:,4)./STATES(:,2));
ALGEBRAIC(:,32) = CONSTANTS(:,20).*STATES(:,9).*STATES(:,10).*STATES(:,11).*(STATES(:,1) - ALGEBRAIC(:,29));
ALGEBRAIC(:,17) = 0.500000.*CONSTANTS(:,58).*log(CONSTANTS(:,4)./STATES(:,2));
ALGEBRAIC(:,26) = CONSTANTS(:,18).*STATES(:,7).*STATES(:,8).*(STATES(:,1) - ALGEBRAIC(:,17));
ALGEBRAIC(:,38) = CONSTANTS(:,58).*log(CONSTANTS(:,5)./STATES(:,5));
ALGEBRAIC(:,39) = CONSTANTS(:,27).*STATES(:,14).*STATES(:,15).*(STATES(:,1) - ALGEBRAIC(:,38));
ALGEBRAIC(:,40) = CONSTANTS(:,58).*log(CONSTANTS(:,5)./STATES(:,5));
ALGEBRAIC(:,41) = CONSTANTS(:,29).*STATES(:,16).*STATES(:,17).*(STATES(:,1) - ALGEBRAIC(:,40));
ALGEBRAIC(:,60) = CONSTANTS(:,41).*(1.00000./(1.00000+power(CONSTANTS(:,42)./STATES(:,2), CONSTANTS(:,43))));
ALGEBRAIC(:,58) = 0.500000.*CONSTANTS(:,58).*log(CONSTANTS(:,4)./STATES(:,2));
ALGEBRAIC(:,59) = CONSTANTS(:,40).*(STATES(:,1) - ALGEBRAIC(:,58));
ALGEBRAIC(:,65) = CONSTANTS(:,58).*log(CONSTANTS(:,5)./STATES(:,5));
ALGEBRAIC(:,67) = CONSTANTS(:,45).*STATES(:,22).*(STATES(:,1) - ALGEBRAIC(:,65));
ALGEBRAIC(:,50) = ( 512.009.*CONSTANTS(:,34).*( exp(( CONSTANTS(:,36).*(CONSTANTS(:,33) - 2.00000).*STATES(:,1))./CONSTANTS(:,58)).*power(STATES(:,5), CONSTANTS(:,33)).*CONSTANTS(:,4) - STATES(:,2).*exp(( (CONSTANTS(:,36) - 1.00000).*(CONSTANTS(:,33) - 2.00000).*STATES(:,1))./CONSTANTS(:,58)).*power(CONSTANTS(:,5), CONSTANTS(:,33))))./( (1.00000+ CONSTANTS(:,35).*( STATES(:,2).*power(CONSTANTS(:,5), CONSTANTS(:,33))+ CONSTANTS(:,4).*power(STATES(:,5), CONSTANTS(:,33)))).*(1.00000+STATES(:,2)./0.00690000));
ALGEBRAIC(:,56) = CONSTANTS(:,58).*log(CONSTANTS(:,5)./STATES(:,5));
ALGEBRAIC(:,57) = CONSTANTS(:,39).*(STATES(:,1) - ALGEBRAIC(:,56));
ALGEBRAIC(:,62) = CONSTANTS(:,46).*(STATES(:,4)./(1.00000+power(CONSTANTS(:,47)./STATES(:,2), 2.00000)));
ALGEBRAIC(:,64) = CONSTANTS(:,48).*((power(STATES(:,2)./CONSTANTS(:,49), CONSTANTS(:,51)) - power(STATES(:,4)./CONSTANTS(:,50), CONSTANTS(:,51)))./(1.00000+power(STATES(:,2)./CONSTANTS(:,49), CONSTANTS(:,51))+power(STATES(:,4)./CONSTANTS(:,50), CONSTANTS(:,51))));
ALGEBRAIC(:,66) = CONSTANTS(:,48).*((power(STATES(:,3)./CONSTANTS(:,52), CONSTANTS(:,54)) - power(STATES(:,4)./CONSTANTS(:,53), CONSTANTS(:,54)))./(1.00000+power(STATES(:,3)./CONSTANTS(:,52), CONSTANTS(:,54))+power(STATES(:,4)./CONSTANTS(:,53), CONSTANTS(:,54))));
ALGEBRAIC(:,68) = CONSTANTS(:,55).*(STATES(:,4) - STATES(:,3));
ALGEBRAIC(:,69) = CONSTANTS(:,56).*(STATES(:,2) - STATES(:,3));
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