Re: Parameter Fitting in coupled differential equation
- To: mathgroup at smc.vnet.net
- Subject: [mg122367] Re: Parameter Fitting in coupled differential equation
- From: Oliver Ruebenkoenig <ruebenko at wolfram.com>
- Date: Wed, 26 Oct 2011 17:41:09 -0400 (EDT)
- Delivered-to: l-mathgroup@mail-archive0.wolfram.com
- References: <201110251016.GAA05777@smc.vnet.net>
On Tue, 25 Oct 2011, 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 > > -- Here is I how I'd go about it. You could use NDSolve for the equations, extract the grid from the interpolation function (with if["Grid"]) then interpolate your measurement and evaluate on the NDSolve grid. Minimize the norm (in some sense) of the difference between the two. Oliver
- References:
- Parameter Fitting in coupled differential equation
- From: "Alexandre Santos Abreu" <alexandre.abreu@physik.uni-augsburg.de>
- Parameter Fitting in coupled differential equation