Tata Institute of Fundamental Research
The Relation Between Stochastic and Deterministic Models for Chemical Reactions
Student Seminar
Speaker:
Manoj Gopalkrishnan
Organiser:
Pritam Bhattacharya
Date:
Friday, 12 Apr 2013, 14:30 to 16:00
Venue:
A-212 (STCS Seminar Room)
(Scan to add to calendar)
Abstract:
+ 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.
| Speaker: | Manoj Gopalkrishnan |
| Organiser: | Pritam Bhattacharya |
| Date: | Friday, 12 Apr 2013, 14:30 to 16:00 |
| Venue: | A-212 (STCS Seminar Room) |
(Scan to add to calendar)
Abstract:
+ 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.
+ 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.