Stochastic Chemical Kinetics

Stochastic Chemical Kinetics

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

Publisher: Springer

ISBN: 9781493903870

Category: Science

Page: 162

View: 257

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. In recent years, due to the development in experimental techniques, such as optical imaging, single cell analysis, and fluorescence spectroscopy, biochemical kinetic data inside single living cells have increasingly been available. The emergence of systems biology brought renaissance in the application of stochastic kinetic methods.
Categories: Science

Chemical Kinetics Stochastic Processes and Irreversible Thermodynamics

Chemical Kinetics  Stochastic Processes  and Irreversible Thermodynamics

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

Publisher: Springer

ISBN: 9783319066899

Category: Mathematics

Page: 126

View: 888

This book brings theories in nonlinear dynamics, stochastic processes, irreversible thermodynamics, physical chemistry and biochemistry together in an introductory but formal and comprehensive manner. Coupled with examples, the theories are developed stepwise, starting with the simplest concepts and building upon them into a more general framework. Furthermore, each new mathematical derivation is immediately applied to one or more biological systems. The last chapters focus on applying mathematical and physical techniques to study systems such as: gene regulatory networks and molecular motors. The target audience of this book are mainly final year undergraduate and graduate students with a solid mathematical background (physicists, mathematicians and engineers), as well as with basic notions of biochemistry and cellular biology. This book can also be useful to students with a biological background who are interested in mathematical modeling and have a working knowledge of calculus, differential equations and a basic understanding of probability theory.
Categories: Mathematics

A Pseudo steady state Approximation for Stochastic Chemical Kinetics

A Pseudo steady state Approximation for Stochastic Chemical Kinetics

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

Publisher:

ISBN: UCAL:C2940711

Category:

Page: 330

View: 644

Categories:

Multiple time scale Order Reduction for Stochastic Kinetics and Molecular Simluation of Crystallization

Multiple time scale Order Reduction for Stochastic Kinetics and Molecular Simluation of Crystallization

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
Fundamentals .

Author: Ethan Allen Sturman Mastny

Publisher:

ISBN: WISC:89098698467

Category:

Page: 15

View: 730

Categories:

Chemical Kinetics and Dynamics

Chemical Kinetics and Dynamics

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

ISBN: UOM:39015055866415

Category: Science

Page: 518

View: 967

This text presents a balanced presentation of the macroscopic view of empirical kinetics and the microscopic molecular viewpoint of chemical dynamics. This second edition includes the latest information, as well as new topics such as heterogeneous reactions in atmospheric chemistry, reactant product imaging, and molecular dynamics of H + H2.
Categories: Science

CHEMICAL KINETICS OF SMALL ORGANIC RADICALS

CHEMICAL KINETICS OF SMALL ORGANIC RADICALS

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

Publisher: CRC-Press

ISBN: 0849343631

Category: Science

Page: 208

View: 560

Cover title: CRC chemical kinetics of small organic radicals.
Categories: Science

Journal of the Indian Institute of Science

Journal of the Indian Institute of Science

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
kinetics .

Author: Indian Institute of Science, Bangalore

Publisher:

ISBN: CHI:80462580

Category: Chemistry, Organic

Page:

View: 821

Categories: Chemistry, Organic

Systems Analysis of Stochastic and Population Balance Models for Chemically Reacting Systems

Systems Analysis of Stochastic and Population Balance Models for Chemically Reacting Systems

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
with ...

Author: Eric Lynn Haseltine

Publisher:

ISBN: WISC:89089212112

Category:

Page: 360

View: 696

Categories:

Biomolecular Feedback Systems

Biomolecular Feedback Systems

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

ISBN: 9780691161532

Category: Science

Page: 288

View: 851

This book provides an accessible introduction to the principles and tools for modeling, analyzing, and synthesizing biomolecular systems. It begins with modeling tools such as reaction-rate equations, reduced-order models, stochastic models, and specific models of important core processes. It then describes in detail the control and dynamical systems tools used to analyze these models. These include tools for analyzing stability of equilibria, limit cycles, robustness, and parameter uncertainty. Modeling and analysis techniques are then applied to design examples from both natural systems and synthetic biomolecular circuits. In addition, this comprehensive book addresses the problem of modular composition of synthetic circuits, the tools for analyzing the extent of modularity, and the design techniques for ensuring modular behavior. It also looks at design trade-offs, focusing on perturbations due to noise and competition for shared cellular resources. Featuring numerous exercises and illustrations throughout, Biomolecular Feedback Systems is the ideal textbook for advanced undergraduates and graduate students. For researchers, it can also serve as a self-contained reference on the feedback control techniques that can be applied to biomolecular systems. Provides a user-friendly introduction to essential concepts, tools, and applications Covers the most commonly used modeling methods Addresses the modular design problem for biomolecular systems Uses design examples from both natural systems and synthetic circuits Solutions manual (available only to professors at press.princeton.edu) An online illustration package is available to professors at press.princeton.edu
Categories: Science

Excursions in Stochastic Dynamics of Complex Biological Systems

Excursions in Stochastic Dynamics of Complex Biological Systems

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
the ...

Author: Serguei Georgievich Plyasunov

Publisher:

ISBN: UCAL:C3503363

Category:

Page: 306

View: 353

Categories:

Scientific and Technical Aerospace Reports

Scientific and Technical Aerospace Reports

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 ...

Author:

Publisher:

ISBN: OSU:32435060171345

Category: Aeronautics

Page:

View: 871

Categories: Aeronautics

Multiple Scaling Methods in Chemical Reaction Networks

Multiple Scaling Methods in Chemical Reaction Networks

[ 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

Publisher:

ISBN: WISC:89103209565

Category:

Page: 118

View: 275

Categories:

Stochastic Analysis of Biochemical Reaction Networks

Stochastic Analysis of Biochemical Reaction Networks

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
be ...

Author: Chang Hyeong Lee

Publisher:

ISBN: MINN:31951P01026014I

Category:

Page: 394

View: 155

Categories:

Statistical Mechanics Kinetic theory and Stochastic Processes

Statistical Mechanics  Kinetic theory  and Stochastic Processes

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

Publisher: Elsevier

ISBN: 9780323144414

Category: Science

Page: 618

View: 640

Statistical Mechanics, Kinetic Theory, and Stochastic Processes presents the statistical aspects of physics as a "living and dynamic" subject. In order to provide an elementary introduction to kinetic theory, physical systems in which particle-particle interaction can be neglected are considered. Transport phenomena in the free-molecular flow region for gases and the transport of thermal radiation are discussed. Discrete random processes such as random walk, binomial and Poisson distributions, and throwing of dice are studied by means of the characteristic function. Comprised of 11 chapters, this book begins with an introduction to the mass point gas as well as some elementary properties of space and velocity distributions. The discussion then turns to radiation and its interaction with an atom; probability, statistics, and conditional probability; intermolecular interactions; transport phenomena; and statistical thermodynamics. Molecular systems at low densities are also considered, together with non-ideal and real gases; liquids and solids; and stochastic processes, noise, and fluctuations. In particular, the response of atoms and molecules to perturbations and scattering by crystals, liquids, and high-pressure gases are examined. This monograph will be useful for undergraduate students, practitioners, and researchers in physics.
Categories: Science

Annual Review of Physical Chemistry

Annual Review of Physical Chemistry

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
terms .

Author: Gerhard Krohn Rollefson

Publisher:

ISBN: UCAL:B4378818

Category: Chemistry, Physical and theoretical

Page:

View: 583

Categories: Chemistry, Physical and theoretical

Markov Processes and Related Fields

Markov Processes and Related Fields

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
studied ...

Author:

Publisher:

ISBN: UOM:39015060969303

Category: Markov processes

Page:

View: 652

Categories: Markov processes

Stochastic Models in Medicine and Biology

Stochastic Models in Medicine and Biology

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)

Publisher:

ISBN: UOM:39015005998425

Category: Biology

Page: 393

View: 785

Categories: Biology