Wednesday 22 March 2017
to 12:00 at
Supriya Krishnamurthy (Fysikum SU)
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  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