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fitting differential eq. to data
Posted:
Aug 21, 1996 2:08 AM


Dear Mathematica experts,
We are struggling with the following problem :
we have a system of three linear differential equations in three variables (x,y,z) with three unknown parameters (p,q,r) :
x'=px+qy y'=px(q+r)y z'=ry
We have a set of measurements (x,y,z,t). Now we want to optimize the parameters p,q and r so that the solutions of the diff. equations approximate the experimental data as close as possible.
Does anybody know if this can be done with Mathematica? Hints or suggestions are very wellcome! If there are other mathematical packets out there that are more suited for solving the problem, please let us know.
Thank you in advance.
 Thomas Hamelryck Laboratorium voor Ultrastructuur Vlaams Interuniversitair Instituut voor Biotechnologie Vrije Universiteit Brussel Paardenstraat 65 B1640 StGenesiusRode Tel: 3223590209 Fax: 3223590289 Belgium



