R help - Feb 2008 - How to estimate the parameters of differential equations from data

Hello list

I have a theoretical differential equation model (two coupled differential
equations) describing the acidification of dairy cultures in milk:

dX/dt = f(H, param)*X
dH/dt = g(param)*dX/dt

pH = -log10(H)

I also have actual data of the same.

I would like to estimate the parameters of the theoretical model from real
data, but don't know how to go about it in R (I'm fairly new to R). Is
there an R-package for this purpose?

Any help from the list is highly appreciated.

Thank you

Jannik Vindel?v, Ph.D.
Project Manager
Dairy Culture Development
Innovation

P.O. Box 64
Arpajon
Cedex
F-91292
France

Phone: +33 (0)1 6988 3636
Direct Phone: +33 (0)1 6988 3629

Try the odesolve package or the nlmeODE package which builds on odesolve.


Best regards

Frede Aakmann T?gersen
Scientist


UNIVERSITY OF AARHUS
Faculty of Agricultural Sciences
Dept. of Genetics and Biotechnology
Blichers All? 20, P.O. BOX 50
DK-8830 Tjele

Phone:   +45 8999 1900
Direct:  +45 8999 1878

E-mail:  FredeA.Togersen at agrsci.dk
Web:	   http://www.agrsci.org				

This email may contain information that is confidential.
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If you are not the intended recipient, please notify Faculty of Agricultural
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> -----Oprindelig meddelelse-----
> Fra: r-help-bounces at r-project.org 
> [mailto:r-help-bounces at r-project.org] P? vegne af Jannik Vindeloev
> Sendt: 15. februar 2008 09:34
> Til: r-help at r-project.org
> Emne: [R] How to estimate the parameters of differential 
> equations fromdata
> 
> Hello list
> 
> I have a theoretical differential equation model (two coupled 
> differential
> equations) describing the acidification of dairy cultures in milk:
> 
> dX/dt = f(H, param)*X
> dH/dt = g(param)*dX/dt
> 
> pH = -log10(H)
> 
> I also have actual data of the same.
> 
> I would like to estimate the parameters of the theoretical 
> model from real data, but don't know how to go about it in R 
> (I'm fairly new to R). Is there an R-package for this purpose?
> 
> Any help from the list is highly appreciated.
> 
> Thank you
> 
> Jannik Vindel?v, Ph.D.
> Project Manager
> Dairy Culture Development
> Innovation
> 
> P.O. Box 64
> Arpajon
> Cedex
> F-91292
> France
> 
> Phone: +33 (0)1 6988 3636
> Direct Phone: +33 (0)1 6988 3629
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