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Re: Parameter Fitting in coupled differential equation

• To: mathgroup at smc.vnet.net
• Subject: [mg122340] Re: Parameter Fitting in coupled differential equation
• From: "Kevin J. McCann" <Kevin.McCann at umbc.edu>
• Date: Wed, 26 Oct 2011 17:36:15 -0400 (EDT)
• Delivered-to: l-mathgroup@mail-archive0.wolfram.com
• References: <j862c4$5mv$1@smc.vnet.net>

Alex,

I have an old notebook that I adapted from a Wolfram Tech Note several 
years ago. Basically you need to write a function that is given 
parameter choices as input and then outputs the LSQ difference between 
the DE solution and the data. Then just use FindMinimum. With 5 
parameters, it could get tricky, since there may be multiple local 
minima. I can send you the nb if you are interested.

Kevin

On 10/25/2011 6:17 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
>