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MathGroup Archive 2005

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Re: InterpolatingFunctionAnatomy.m

  • To: mathgroup at smc.vnet.net
  • Subject: [mg57063] Re: InterpolatingFunctionAnatomy.m
  • From: "Jens-Peer Kuska" <kuska at informatik.uni-leipzig.de>
  • Date: Sat, 14 May 2005 04:58:00 -0400 (EDT)
  • Organization: Uni Leipzig
  • References: <200505120633.CAA08961@smc.vnet.net> <d614l5$ni0$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Hi,

a) I don't think that 
InterpolatingFunctionAnatomy.m will help you
   because in a singel time step you will not get 
a full interpolation
   otherwise Mathematica would be able to solve 
dealy differential equations
b) *that* is *copyrighted material* ! and only the 
copyright holder
   can distribute it

Regards
  Jens

"Chrisantha" <ctf20 at sussex.ac.uk> schrieb im 
Newsbeitrag news:d614l5$ni0$1 at smc.vnet.net...
> Dear All,
>
> Can anyone possible send me the 
> interpolatingfunctionanatomy .m file. I
> have Mathematica 5.0 only. I am running a 
> simulation of chemical
> kinetics, and need the volume to be changed at 
> each timestep which then
> scales the concentrations. This means as far as 
> I am aware that I will
> have to use the EventLocator controller.
>
> In my system of dif equations I have
>
>
> X'[t] = (bla bla ... )
> V'[t] = (k X[t] )
>
> At each timestep I need to scale X[t] by the 
> ratio of (V[t]/V[t+1])
> because V is the volume of the cell that the 
> chemical X is in, and X
> increases this volume. Therefore, X[t] has to be 
> reduced by a ratio of
> the previous volume to the current volume. I can 
> only think of doing
> this by having an event detect when the volume 
> increases by a fixed
> amount, and catching that event,. and then 
> rescaling X'[t] and
> restaring NDSolve from there. I think the 
> EventLocator can do this
> automatically. Is there a better way to do this?
>
> Yours ever,
> Chrisantha Fernando
>
>
> 



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