Table of Contents Author Guidelines Submit a Manuscript
Computational and Mathematical Methods in Medicine
Volume 2014, Article ID 683235, 9 pages
http://dx.doi.org/10.1155/2014/683235
Research Article

Splitting Strategy for Simulating Genetic Regulatory Networks

Department of Applied Mathematics, Nanjing Agricultural University, Nanjing 210095, China

Received 30 May 2013; Accepted 24 October 2013; Published 2 February 2014

Academic Editor: Damien Hall

Copyright © 2014 Xiong You et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The splitting approach is developed for the numerical simulation of genetic regulatory networks with a stable steady-state structure. The numerical results of the simulation of a one-gene network, a two-gene network, and a p53-mdm2 network show that the new splitting methods constructed in this paper are remarkably more effective and more suitable for long-term computation with large steps than the traditional general-purpose Runge-Kutta methods. The new methods have no restriction on the choice of stepsize due to their infinitely large stability regions.