Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Realizations of kinetic differential equations   The induced kinetic differential equation of a reaction network endowed with
mass action type kinetics is a system of polynomial differential equations. The
problem studied here is: Given a polynomial differential equation, is it
possible to find a network which induces the equation? If yes, can we find a
network with some chemically relevant properties (implying also important
dynamic consequences), such as reversibility, weak reversibility, zero
deficiency, detailed balancing, complex balancing, mass conservation, etc. The
constructive answers presented to a series of questions of the above type are
useful when fitting a differential equation to measurements, or when trying to
find out the dynamic behavior of the solutions of a differential equation. It
turns out that some of the results can be applied when trying to solve purely
mathematical problems, like the existence of positive solutions to polynomial
equation.

16
The categories of this paper are: stat
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn