The study of Chemical Reaction Networks (CRN's) is a very active field.
Earlier well-known results [1,2] identify a topological
quantity called deficiency, for any CRN, which, when exactly equal to zero,
leads to a factorized steady-state for these networks.
However, not much is known for networks, which have non-zero deficiency.
This talk will focus on introducing some of these earlier works as
well as describing some of our own recent results [3] on how
to obtain the steady states, even for networks with non-zero deficiency
by looking at the full moment-hierarchy for the factorial moments.
1. M. Feinberg,
Chemical reaction network structure and the stability of complex isothermal reactors -- I. The deficiency zero and
deficiency one theorems,
Chem.~Enc.~Sci., 42, 2229, (1987)
2. D. F. Anderson, G. Craciun, and T. G. Kurtz",
"Product-form stationary distributions for deficiency zero chemical reaction networks",
Bull. Math. Bio., 72, 1947 (2010)
3. S. Krishnamurthy and E. Smith, arXiv:1702.01364
