Parameter Estimation in MATLAB

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Natasha 2018-7-22

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https://ww2.mathworks.cn/matlabcentral/answers/411562-parameter-estimation-in-matlab

I have a set of around 50 differential equations, a biochemical model. After numerically solving the differential equations, the time-dependent concentration profiles of chemical species(metabolites) are obtained. To validate the model using experimental data, the concentration of the metabolites has been gathered from experimental studies. I wish to use a method that minimizes the cost function to estimate around 20 parameters present in the 50 differential equations.

The experimental data that I have is the steady-state concentration values and not time-dependent concentration data. For every metabolite, 4-5 values of the steady-state concentration of the metabolites are available from experimental studies. Most of the examples illustrated in research articles use time-dependent concentration data obtained from experimental studies for parameter estimation.

I would like to ask for suggestions on which algorithm in MATLAB can be used to estimate parameters using steady-state experimental data.

Many thanks, Natasha