Limit-Cycle-Preserving Simulation of Gene Regulatory Oscillators

作者：You, Xiong^*

来源：Discrete Dynamics in Nature and Society, 2012, 2012: 673296.

DOI：10.1155/2012/673296

• RUNGE-KUTTA METHODS
• INITIAL-VALUE PROBLEMS
• HIGH-ORDER METHOD
• NUMERICAL-INTEGRATION
• SCHRODINGER-EQUATION
• NYSTROM METHODS
• FITTED METHOD
• PERTURBED OSCILLATORS
• MULTISTEP ALGORITHMS
• FREQUENCY EVALUATION

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.

• 出版日期2012
• 单位南京农业大学; 计算机软件新技术国家重点实验室