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\iteman{ZMATH 06137747}
\itemau{You, Xiong}
\itemti{Limit-cycle-preserving simulation of gene regulatory oscillators.}
\itemso{Discrete Dyn. Nat. Soc. 2012, Article ID 673296, 22 p. (2012).}
\itemab
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.
\itemrv{~}
\itemcc{92C42 92D10 65L06 65C20}
\itemut{}
\itemli{doi:10.1155/2012/673296}
\end