Solving matrix of differential equations

Question

Question from a user during a discussion about tools available in fit curve and nonlinear platforms:

Can I give a matrix of differential equations to JMP along with

* data and have JMP fit the equations to the data to provide the parameters K12, K21, and kel?
* constants K12, K21, and Kel and have JMP do simulations?

The parameters above refer to the differential equation for plasma in the image (p = plasma, D-drug, tis=tissue), where the other diff eq characterizing the system is missing (that for tissue).  He commented that JMP was already using the integrated equation in Fit Curve.

Any thoughts & details in point/click or scripted are appreciated!

twocompart.jpg

ChristianStopp · Answer

Ha thanks @Chris_Kirchberg I was thinking the same thing about tech support also - so with your nudge, I will. :)

Chris_Kirchberg · Answer

@ChristianStopp , ah yes, that is definitely a different problem. I do not think the non-linear platform can do Linear Algebra.  That might be a question for Tech Support if no one else here knows.

ChristianStopp · Answer

Thanks for sharing @Chris_Kirchberg. I had reached out to the user inquiring after your post to dig a little further and continue the discussion (with him and here), but it seems to not be a priority at this point, so my apologies for the delay. I interpreted the question as needing to work with a matrix of diff eqs, solving the system simultaneously; if I hear back with any further clarification, I'll follow up - but I appreciate the input!