![](/images/graphics-bg.png)
Perturbation and Truncation of Probability Generating Function Methods for Stiff Chemical Reactions
Joint Authors
Jeong, Soyeong
Lee, Chang Hyeong
Kim, Pilwon
Source
Journal of Applied Mathematics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-05-28
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
One can reformulate chemical master equations of the stochastic reaction network into a partial differential equation (PDE) of a probability generating function (PGF).
In this paper, we present two improvements in such PGF-PDE approach, based on perturbation and double-truncation, respectively.
The stiff system that involves fast and slow reactions together often requires high computational cost.
By applying the perturbation method to PGF-PDEs, we expand the equation in terms of a small reaction rate which is often responsible for such stiffness of the system.
Also by doubly truncating, we dump relatively small terms and reduce the computational load significantly at each time step.
The terms corresponding to rare events are sieved out through truncations of Taylor expansion.
It is shown through numerical examples of enzyme kinetics, transition model, and Brusselator model that the suggested method is accurate and efficient for approximation of the state probabilities.
American Psychological Association (APA)
Jeong, Soyeong& Kim, Pilwon& Lee, Chang Hyeong. 2015. Perturbation and Truncation of Probability Generating Function Methods for Stiff Chemical Reactions. Journal of Applied Mathematics،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1067148
Modern Language Association (MLA)
Jeong, Soyeong…[et al.]. Perturbation and Truncation of Probability Generating Function Methods for Stiff Chemical Reactions. Journal of Applied Mathematics No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1067148
American Medical Association (AMA)
Jeong, Soyeong& Kim, Pilwon& Lee, Chang Hyeong. Perturbation and Truncation of Probability Generating Function Methods for Stiff Chemical Reactions. Journal of Applied Mathematics. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1067148
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1067148