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Stochastic chemical reaction networks
  KTH/Nordita/SU seminar in Theoretical Physics

Wednesday 22 March 2017
from 11:00 to 12:00
at C5:1007
Speaker : Supriya Krishnamurthy (Fysikum SU)
Abstract : 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

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