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Linearization of a system of 40 Non-linear ODEs for a model and obtain ABCD state-space matrix

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Hey,
I have a system of 40 non-linear ODEs. I want to find Jacobian matrix for the same. How to Linearize the model? As it contains mass-action kinetics as well as Michaelis-menten kinetics structure? Any suggestions in this regard is appreciated.
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Darshna Joshi
Darshna Joshi on 7 Aug 2021
Edited: Darshna Joshi on 7 Aug 2021
I want to find the best values of combinations of my inputs (There are 3 inputs) that will give me the maximum output. As i have a whole non-linear differential equation model, i don't know how to proceed with that ODEs. @darova
Paul
Paul on 7 Aug 2021
Can you provide a bit more insight into the form of the equations? For example, are they in the form of:
xdot(t) = f(x(t))
where x and xdot are 40 x 1? Do you have an m-function that can evaluate f()? Or maybe f() has some symbolic parameters? A few more details on the form of the equations will be helpful; a small order example would be even better.

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