Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized mass action systems: Complex balancing equilibria and sign
  vectors of the stoichiometric and kinetic-order subspaces   Mass action systems capture chemical reaction networks in homogeneous and
dilute solutions. We suggest a notion of generalized mass action systems that
admits arbitrary nonnegative power-law rate functions and serves as a more
realistic model for reaction networks in intracellular environments. In
addition to the chemical complexes and the related stoichiometric subspace, we
introduce corresponding kinetic complexes, which represent the nonnegative
exponents in the rate functions and determine the kinetic-order subspace. We
show that several results of Chemical Reaction Network Theory carry over to the
case of generalized mass action kinetics. Our main result essentially states
that, if the sign vectors of the stoichiometric and the kinetic-order subspace
coincide, there exists a unique positive complex balancing equilibrium in every
stoichiometric compatibility class. However, in contrast to classical mass
action systems, multiple complex balancing equilibria in one stoichiometric
compatibility class are possible in general.

15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int