Coefficient of Variance and Sensitivity Analysis

Dear Matlab Team,

I want to do sensitivity analysis for 15 parameters and the cell division rate. I have generated 300 set of 15 parameters and after runnig the code for 300 times, I have 300 values for cell division rate. Now, I want to do sensitivity analysis with coefficient of variance for each parameter. Would you please let me know how can I do this in Matlab.

Thanks

Answer 1

[Manikanta Aditya]

Hi @Neda,

To perform sensitivity analysis with the coefficient of variance (CV) for each parameter in MATLAB, you can follow these steps:

• The CV is defined as the ratio of the standard deviation to the mean. You can calculate it for each parameter using the following MATLAB code:

% Assuming 'data' is a matrix where each row represents a set of parameters
% and 'cell_division_rate' is a vector of cell division rates

num_parameters = size(data, 2);
cv_values = zeros(1, num_parameters);

for i = 1:num_parameters
    parameter_values = data(:, i);
    cv_values(i) = std(parameter_values) / mean(parameter_values);
end

disp('Coefficient of Variance for each parameter:');
disp(cv_values);

You can use the Sensitivity Analyzer app in MATLAB to explore the design space and determine the most influential parameters.

Here’s how you can do it:

• Go to the Apps tab in MATLAB and click on Sensitivity Analyzer.
• Import your parameter sets and cell division rates into the Sensitivity Analyzer.
• Set up the analysis by specifying the parameters and the output (cell division rate).
• Run the sensitivity analysis to evaluate how changes in the parameters affect the cell division rate.

For more detailed guidance, you can refer to the following resources:

• Sensitivity Analysis Documentation
• Coefficient of Variation Calculation

I hope this helps.