Bulletin of the American Physical Society
APS March Meeting 2018
Monday–Friday, March 5–9, 2018; Los Angeles, California
Session K06: Stochasticity in Biology
8:00 AM–10:48 AM,
Wednesday, March 7, 2018
LACC Room: 153A
Sponsoring Unit: DBIO
Chair: Steve Presse, Univ of California - San Francisco
Abstract: K06.00012 : Behavior of stochastic reaction network towards the thermodynamic limit
10:12 AM–10:24 AM
(Univ of Minnesota - Twin Cities)
An important concept for describing chemical reaction networks is the thermodynamic limit, where the number of molecules and the size of the system are asymptotically large. Systems in the thermodynamic (macroscopic) limit can be modeled with a deterministic modeling formalism; away from it, at the microscopic limit, a stochastic approach is more suitable . However, due to numerical and computational difficulties, little is known for the behavior of networks in the mesoscopic area, where the system is sizable yet still under the influence of thermal noise.
We employ the Schlögl model reaction network, a simple single component system, to provide useful information about the mesoscopic behavior of chemical reaction networks. For our analysis ZI-closure scheme method is used. This is a numerical solution of chemical master equations, which utilizes the maximization of the system entropy. To our knowledge this is the first time such an analysis is presented for the transition between stochastic and deterministic chemical reaction models with computational tools.
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