Steady-State-Preserving Simulation of Genetic Regulatory Systems

被引：1

作者：

Zhang, Ruqiang ^{[1
,2
]}

Ehigie, Julius Osato ^{[2
,3
]}

Hou, Xilin ^{[2
]}

You, Xiong ^{[1
]}

Yuan, Chunlu ^{[1
]}

机构：

[1] Nanjing Agr Univ, Coll Sci, Nanjing 210095, Jiangsu, Peoples R China

[2] Nanjing Agr Univ, Coll Hort, Nanjing 210095, Jiangsu, Peoples R China

[3] Univ Lagos, Dept Math, Lagos 23401, Nigeria

来源：

COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE | 2017年 / 2017卷

基金：

中国国家自然科学基金;

关键词：

ESCHERICHIA-COLI; CELL-CYCLE; NETWORKS; OPTIMIZATION; BIOLOGY; MODEL;

D O I：

10.1155/2017/2729683

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

A novel family of exponential Runge-Kutta (expRK) methods are designed incorporating the stable steady-state structure of genetic regulatory systems. A natural and convenient approach to constructing new expRK methods on the base of traditional RK methods is provided. In the numerical integration of the one-gene, two-gene, and p53-mdm2 regulatory systems, the new expRK methods are shown to be more accurate than their prototype RK methods. Moreover, for nonstiff genetic regulatory systems, the expRK methods are more efficient than some traditional exponential RK integrators in the scientific literature.

引用

页数：16

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