🚀 go-pugleaf

In article <BxLHMG.K9J@constellation.ecn.uoknor.edu> u235@rex.chb.uokhsc.edu
(Yung-Jin Lee) writes:
>I have several rival models which are needed to to
>be discriminated in my kinetic studies.  Is there any numerical 
>algorithms (Fortran in preferred) can be used in my studies?  What
>I have tried is the method of sequential experimental design from
>a text of 'Mathematical Modelling and Computers in Endocrinology'
>written by McIntosh JEA and McIntosh RP, 1980, Springer-Verlag.

     I don't have an algorithm to offer, but there is an analytic method
which will sometimes work.  Here is the reference:

M.R. Roussel and S.J. Fraser, "Accurate steady-state approximations:
   Implications for kinetics experiments and mechanism", J. Phys. Chem. 95,
   8762-8770 (1991).

     The heart of the method is a recasting of the ODE problem into a
functional equation problem.  When it works, it works spectacularly.
When it doesn't work, you either have a system with unusual dynamics
(and that is valuable to know as well) or the business of distinguishing
the two mechanisms will be very difficult by any method.
     If you have the right equipment, you can also try fast relaxation
methods.  Have a look at K. Hiromi, Kinetics of Fast Enzyme Reactions
(Wiley: New York, 1979), esp. pp. 41-42.

				Marc R. Roussel
                                mroussel@alchemy.chem.utoronto.ca

P.S.: I have redirected followups to sci.math since this has little to
      do with statistics.