How can I determine the confidence intervals for estimated parameters when using fmincon?

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Sean Quinn 2017-6-28

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https://ww2.mathworks.cn/matlabcentral/answers/346599-how-can-i-determine-the-confidence-intervals-for-estimated-parameters-when-using-fmincon

I have an 9 ODE model (as one function) with 9 parameters and my objective function as another. I also have a script which minimizes my objective function using fmincon to estimate the parameters in my model. How can I determine the confidence intervals for parameters I estimate. Here is an example of my code below:

options = optimoptions('fmincon','Algorithm','interior-point','display','iter','MaxIter',150); numberOfParameters = length(InitialParameterValues2('KIF3AC 052616 + 070716')); pIndex = [1,0;... 2,0;... 5,0;... 6,0;... 9,0];

pFit = ones(1,5);

[pFit, fval, flag, output, lambda, grad, hessian] = fmincon(@(p) objective_2(p, pIndex, data, dataIndex, kinesinIndex, kinesinName, numberOfParameters), ... pFit, [], [], [], [], [[0.01 1 0.01 1 0.01],0], [[1 10 1 11 100],10000], [], options);