School of Technology and Computer Science Seminars
The Relation Between Stochastic and Deterministic Models for Chemical Reactions
by Dr. Manoj Gopalkrishnan (School of Technology and Computer Science, TIFR)
Friday, April 12, 2013
from
to
(Asia/Kolkata)
at Colaba Campus ( A-212 (STCS Seminar Room) )
at Colaba Campus ( A-212 (STCS Seminar Room) )
Description |
+ Tom Kurtz, in a classic paper from 1972, showed that stochastic models for chemical reactions and deterministic models are related: in the limit of volume going to infinity, the stochastic model approaches the deterministic model. + More recently, in 2010, Anderson, Craciun, and Kurtz showed that stochastic models for "complex-balanced" chemical reaction systems admit a product-form stationary distribution. This generalizes a result in queueing theory due to Kelly in 1979. I will describe these two results. REFERENCE : Continuous Time Markov Chain Models for Chemical Reaction Networks by David F. Anderson and Thomas G. Kurtz. |