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Splitting strategy for simulating genetic regulatory networks
Xiong You1, Xueping Liu1, Ibrahim Hussein Musa1
1Department of Applied Mathematics, Nanjing Agricultural University, Nanjing 210095, China.
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.
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