id: 06137747
dt: j
an: 
au: You, Xiong
ti: Limit-cycle-preserving simulation of gene regulatory oscillators.
so: Discrete Dyn. Nat. Soc. 2012, Article ID 673296, 22 p. (2012).
py: 2012
pu: Hindawi Publishing Corporation, New York, NY
la: EN
cc: 92C42 92D10 65L06 65C20
ut: 
ci: 
li: doi:10.1155/2012/673296
ab: Summary: 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.
rv: