Testing of the B-macro model

Verify against MuPad "analysis" document: B_family_model_analysis.html

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Here you will find all figures

figures_folder='B_macro_testing_figures';

TEST COMPUTATION OF EQUILIBRIUM POPULATIONS

Set some meaningful parameters matching settings of MuPad analysis document

Rtotal=1e-3; % Receptor concentration, M
LRratio_array=[0 : 0.02 : 6]; % Array of L/R
K_A_1=10000.0;
K_A_2=10000.0;
% Set appropriate options for the model (see model file for details)
model_numeric_solver='fminbnd'  ;

model_numeric_options=optimset('Diagnostics','off', ...
                    'Display','off',...
                    'TolX',1e-9,...
                    'MaxFunEvals', 1e9);

The important option here is "TolX" that sets termination tolerance on free ligand concentation in molar units. With our solution concentrations in 1e-3 range TolX should be set to some 1e-9.

Compute arrays for populations and plot

concentrations_array=[];
for counter=1:length(LRratio_array)
    % compute
    [concentrations species_names] = equilibrium_thermodynamic_equations.B_macro_model(...
        Rtotal, LRratio_array(counter), K_A_1, K_A_2,...
        model_numeric_solver, model_numeric_options);
    % collect
    concentrations_array = [concentrations_array ; concentrations];
end

Plot

Figure_title= 'B-macro model';
X_range=[0 max(LRratio_array)+0.1 ]; % extend X just a bit past last point
Y_range=[ ]; % keep automatic scaling for Y
% display figure
figure_handle=equilibrium_thermodynamic_equations.plot_populations(...
    LRratio_array, concentrations_array, species_names, Figure_title, X_range, Y_range);
% save it
results_output.output_figure(figure_handle, figures_folder, 'Concentrations_plot');

Observations The result matches simulations performed in the analysis document

Published with MATLAB® R2013a