Author/Authors :
Zhang, Ruqiang Nanjing Agricultural University - Nanjing, China , Osato Ehigie, Julius Department of Mathematics - University of Lagos - Lagos, Nigeria , Hou, Xilin Nanjing Agricultural University - Nanjing, China , You, Xiong Nanjing Agricultural University - Nanjing, China , Yuan, Chunlu Nanjing Agricultural University - Nanjing, China
Abstract :
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.
Keywords :
Steady-State-Preserving , Systems , expRK , RK
