Systems biology is a reemerging paradigm which, among other things,
focuses on mathematical modeling and simulation of biochemical reaction
networks in intracellular processes. For most simulation tools and
publications, they are usually characterized by either preferring
stochastic simulation or rate equation models. The use of stochastic
simulation is occasionally accompanied with arguments against rate
equations. Motivated by these arguments, we discuss in this paper
the relationship between these two forms of representation. Toward
this end, we provide a novel compact derivation for the stochastic
rate constant that forms the basis of the popular Gillespie algorithm.
Comparing the mathematical basis of the two popular conceptual frameworks
of generalized mass action models and the chemical master equation,
we argue that some of the arguments that have been put forward are
ignoring subtle differences and similarities that are important for
answering the question in which conceptual framework one should investigate
intracellular dynamics.
%0 Journal Article
%1 Wolk_2004_200
%A Wolkenhauer, Olaf
%A Ullah, Mukhtar
%A Kolch, Walter
%A Cho, Kwang-Hyun
%D 2004
%J IEEE Trans. Nanobioscience
%K 15473072 Algorithms, Animals, Biological, Cell Chemical, Computer Expression Gene Gov't, Humans, Intracellular Kinetics, Models, Non-U.S. Physiology, Processes, Regulation, Research Signal Simulation, Space, Statistical, Stochastic Support, Transduction,
%N 3
%P 200--207
%T Modeling and simulation of intracellular dynamics: choosing an appropriate
framework.
%V 3
%X Systems biology is a reemerging paradigm which, among other things,
focuses on mathematical modeling and simulation of biochemical reaction
networks in intracellular processes. For most simulation tools and
publications, they are usually characterized by either preferring
stochastic simulation or rate equation models. The use of stochastic
simulation is occasionally accompanied with arguments against rate
equations. Motivated by these arguments, we discuss in this paper
the relationship between these two forms of representation. Toward
this end, we provide a novel compact derivation for the stochastic
rate constant that forms the basis of the popular Gillespie algorithm.
Comparing the mathematical basis of the two popular conceptual frameworks
of generalized mass action models and the chemical master equation,
we argue that some of the arguments that have been put forward are
ignoring subtle differences and similarities that are important for
answering the question in which conceptual framework one should investigate
intracellular dynamics.
@article{Wolk_2004_200,
abstract = {Systems biology is a reemerging paradigm which, among other things,
focuses on mathematical modeling and simulation of biochemical reaction
networks in intracellular processes. For most simulation tools and
publications, they are usually characterized by either preferring
stochastic simulation or rate equation models. The use of stochastic
simulation is occasionally accompanied with arguments against rate
equations. Motivated by these arguments, we discuss in this paper
the relationship between these two forms of representation. Toward
this end, we provide a novel compact derivation for the stochastic
rate constant that forms the basis of the popular Gillespie algorithm.
Comparing the mathematical basis of the two popular conceptual frameworks
of generalized mass action models and the chemical master equation,
we argue that some of the arguments that have been put forward are
ignoring subtle differences and similarities that are important for
answering the question in which conceptual framework one should investigate
intracellular dynamics.},
added-at = {2009-06-03T11:20:58.000+0200},
author = {Wolkenhauer, Olaf and Ullah, Mukhtar and Kolch, Walter and Cho, Kwang-Hyun},
biburl = {https://www.bibsonomy.org/bibtex/24b4eac8042c2d3362b4bb7062ade62bb/hake},
description = {The whole bibliography file I use.},
interhash = {7092a80e15393fc254a16d4e01cb4bda},
intrahash = {4b4eac8042c2d3362b4bb7062ade62bb},
journal = {IEEE Trans. Nanobioscience},
keywords = {15473072 Algorithms, Animals, Biological, Cell Chemical, Computer Expression Gene Gov't, Humans, Intracellular Kinetics, Models, Non-U.S. Physiology, Processes, Regulation, Research Signal Simulation, Space, Statistical, Stochastic Support, Transduction,},
month = Sep,
number = 3,
pages = {200--207},
pmid = {15473072},
timestamp = {2009-06-03T11:21:38.000+0200},
title = {Modeling and simulation of intracellular dynamics: choosing an appropriate
framework.},
volume = 3,
year = 2004
}