Limit-Cycle-Preserving Simulation of Gene Regulatory Oscillators
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-18
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
In order to simulate gene regulatory oscillators more effectively, Runge-Kutta (RK) integrators are adapted to the limit-cycle structure of the system.
Taking into account the oscillatory feature of the gene regulatory oscillators, phase-fitted and amplification-fitted Runge-Kutta (FRK) methods are designed.
New FRK methods with phase-fitted and amplification-fitted updated are also considered.
The error coefficients and the error constant for each of new FRK methods are obtained.
In the numerical simulation of the two-gene regulatory system, the new methods are shown to be more accurate and more efficient than their prototype RK methods in the long-term integration.
It is a new discovery that the best fitting frequency not only depends on the problem to be solved, but also depends on the method.
American Psychological Association (APA)
You, Xiong. 2012. Limit-Cycle-Preserving Simulation of Gene Regulatory Oscillators. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-489390
Modern Language Association (MLA)
You, Xiong. Limit-Cycle-Preserving Simulation of Gene Regulatory Oscillators. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-22.
https://search.emarefa.net/detail/BIM-489390
American Medical Association (AMA)
You, Xiong. Limit-Cycle-Preserving Simulation of Gene Regulatory Oscillators. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-489390
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-489390