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Re: Parameter Fitting in coupled differential equation

• To: mathgroup at smc.vnet.net
• Subject: [mg122346] Re: Parameter Fitting in coupled differential equation
• From: Daniel Lichtblau <danl at wolfram.com>
• Date: Wed, 26 Oct 2011 17:37:20 -0400 (EDT)
• Delivered-to: l-mathgroup@mail-archive0.wolfram.com
• References: <201110251016.GAA05777@smc.vnet.net>

On 10/25/2011 05:16 AM, Alexandre Santos Abreu wrote:
> Hello!
>
> I have two coupled differential equations:
>
> dx/dt = -(f2+r1) x + r2 y + f1 c0
> dy/dt = f2 cM x - f2 x y - r2 y
>
> As you can see I have five different parameters f1, f2, r1, r2, cM
> I also have two sets of measurements (x[t], y[t])
>
> Is it possible to let Mathematica search for the parameter set which
> produces the best fit to the measured values?
>
> Thanks!
>
> Alex

If you go to

http://forums.wolfram.com/mathgroup/

and enter your email subject (no quotes) in the Search pane you will get 
16 hits.

Alternatively see

Help > Documentation Center > FindFit > Applications > Differential 
Equations

These should give some indication of ways to do this type of fit.

Daniel Lichtblau
Wolfram Research

• References:
  • Parameter Fitting in coupled differential equation
    • From: "Alexandre Santos Abreu" <alexandre.abreu@physik.uni-augsburg.de>