From reactions to differential equations
- To: mathgroup at smc.vnet.net
- Subject: [mg93348] From reactions to differential equations
- From: zac <replicatorzed at gmail.com>
- Date: Tue, 4 Nov 2008 06:20:08 -0500 (EST)
Dear All,
from some time now I=E1m working with more and more complex differential
equations.
Is there a package to transform a set of reaction-kinetic equations
such as:
{
Subscript[a, i] + Subscript[b, j] -> Subscript[c, i, j],
Subscript[a, i] + Subscript[c, i, j] -> 2 Subscript[a, i] +
Subscript[b, j],
Subscript[b, i] + Subscript[c, j, i] -> 2 Subscript[b, i] +
Subscript[c, j]
}
to differential equations expressing the growth of a_i, b_i and c_i,j,
regarding
that I leave the parameters i and j undefined?
I am fully aware of software packages like COPASI and Systems Biology
that are available, but I think they are far more complex than what is
needed here, and furthermore I would like to understand the method how
these reactions are actually converted to diff.equations. Which I
completely miss if I'm to rely on a concealed algorithm.
I've already started to write a parser in Mathematica, but it became
too cumbersome after a point to deal with indexed variables (without
indices it is fairly simple), and I really don't want to invent
something that (perhaps) already exists on the field.
Any ideas?
Istvan Zachar
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- Re: From reactions to differential equations
- From: "Tamara Ursem" <tursem@gmail.com>
- Re: From reactions to differential equations