Parameter estimation - How to input experiment data?

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Deepa Maheshvare 2019-4-7

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评论： dpb 2019-4-21

Hi All,

I want to perform parameter estimation of the following ode model.

5 parameters have to be estimated after performing a least square error minimization of the cost function. The input that I have is steady state multi -experiment values of y1 to y10.

I found an example here that illustrated how to input time series experiment data. Could someone explain how to input staedy state multi-experiment data?

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Deepa Maheshvare 2019-4-21

Thanks a lot for the response. In my case, there are 10 variables. Basically, the

arguments ya and yb are column vectors of 10 rows each.

I'm not sure if I follow this,

"you have to be certain the system is not over-constrained by more BCs than are DOF to match--iow, must be realizable".Could you please explain?

dpb 2019-4-21

Just like you couldn't fit a quadratic equation to only two points, you can't try to force more conditions onto the solution of your set of PDEs than can be achieved.

Just an observation on a elementary fact; it's sometimes not so easy to tell with such a system of equations what isn't feasible when setting constraints unless there is a closed-form solution that you can examine.

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