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 B-1640 St-Genesius-Rode Tel: 32-2-3590209 Fax: 32-2-3590289 Belgium