This volume reviews the theory and simulation methods of stochastic kinetics by integrating historical and recent perspectives, presents applications, mostly in the context of systems biology and also in combustion theory.
Author: Péter Érdi
This book brings theories in nonlinear dynamics, stochastic processes, irreversible thermodynamics, physical chemistry and biochemistry together in an introductory but formal and comprehensive manner.
Author: Moisés Santillán
CHAPTER 0 Introduction There is by now an extensive literature on the
application of stochastic process theory to chemical kinetics . Reviews of this
work may be found in McQuarrie [ 25 ] , and more recently Goel and Richter -
Dym [ 10 ] ...
Author: Thomas Appelton Darden
Two classes of quasisteady - state model reductions for stochastic kinetics .
Submitted for publication in J . Chem . Phys . , Feb 2007 . ( 17 ) James B .
Rawlings and John G . Ekerdt . Chemical Reactor Analysis and Design
Author: Ethan Allen Sturman Mastny
37 An extension of Gillespie ' s stochastic method to bimolecular reactions of the
type A + B + C + D has been ... 39 - 42 has developed a numerical method which
simulates the stochastic evolution of any given chemical system in time .
Author: Jeffrey I. Steinfeld
Publisher: Pearson College Division
McQuarrie , D . A . , Stochastic theory of chemical rate processes , Adv . Chem .
Phys . , 15 , 149 , 1969 . 34 . Nicolis , G . and Prigogine , I . , Self - Organization in
Nonequilibrium Systems , Part 3 , John Wiley & Sons , New York , 1977 . 35 .
Author: Zeev B. Alfassi
P. J. Goss ; J. Peccoud , “ Quantitative modeling of stochastic systems in
molecular biology by using stochastic Petri nets . ” Proc Natl Acad Sci USA 1998 ,
95 , ( 12 ) , 6750-6755 . 70. D. T. Gillespie , “ Stochastic simulation of chemical
Author: Indian Institute of Science, Bangalore
Category: Chemistry, Organic
Chapters 4 through 7 examine stochastic simulation with an emphasis on
stochastic chemical kinetics . We present this material in the following order : - In
Chapter 4 , we derive approximations for stochastic chemical kinetics for systems
Author: Eric Lynn Haseltine
We begin by reviewing methods for modeling stochastic processes, including the
chemical master equation (CME), the ... the underlying representation for both
statistical mechanics and chemical kinetics is to identify the appropriate mi140 ...
Author: Domitilla Del Vecchio
Publisher: Princeton University Press
1.4 Stochastic chemical kinetics in well - mixed assumption On a long enough
time - line , the survival rate for everyone drops to zero . Unknown Mathematics
and the field of stochastic processes in particular has long been intertwined with
Author: Serguei Georgievich Plyasunov
A NEW STOCHASTIC ANALYSIS OF CHEMICAL KINETICS Interim Report . John
P. Lehoczky Jun . 1977 34 p refs ( Grant AF - AFOSR - 2642-74 ) ( AD - A044573
; TR - 129 ; A FOSR - 77-1212TR ) Avail : NTIS HC A03 / MF A01 CSCL 07/4 A ...
[ 12 ] D . A . MCQUARRIE , Stochastic approach to chemical kinetics , J . Appl .
Probability , 4 ( 1967 ) , pp . 413 - 478 . ( 13 ] C . V . RAO AND A . P . ARKIN ,
Stochastic chemical kinetics and the quasisteady - state assumption : Application
to the ...
Author: Hye Won Kang
In such systems , stochastic kinetics are required to describe the dynamics of the
systems since the deterministic description ... In this chapter we present an
abstract formulation of deterministic and stochastic chemical kinetics , which will
Author: Chang Hyeong Lee
In order to provide an elementary introduction to kinetic theory, physical systems
in which particle—particle interaction can ... collisions are developed and then
used to study their effect on nuclear and chemical reaction rates, on laser kinetics
Author: C.V. Heer
A convenient framework for the description of fluctuations in chemical kinetics
involves the use of stochastic differential equations ( 39 ) . These equations are
similar in structure to the deterministic ones , except for the addition of noise
Author: Gerhard Krohn Rollefson
Category: Chemistry, Physical and theoretical
Chronologically , the first paper in stochastic chemical kinetics was by Leontovich
( 21 ) , which appeared from discussions with A . N . Kolmogorov . Other
references see in ( 24 ) . In 70s stochastic cheinical kinetics for small R , J was
Category: Markov processes
This passage from deterministic to stochastic epidemiological models is very
similar to ( 1 ) the modification of the Law of Mass Action principle of chemistry for
the construction of chemical kinetic stochastic models ( 4 ] - [ 6 ] , [ 20 ] and [ 2 ] ...
Author: Mathematics Research Center (United States. Army)