Exponentially fitted two-derivative Runge-Kutta methods for simulation of oscillatory genetic regulatory systems
From MaRDI portal
Publication:307713
DOI10.1155/2015/689137zbMath1343.92144OpenAlexW1913966309WikidataQ43174986 ScholiaQ43174986MaRDI QIDQ307713
Xiong You, Juan Li, Ruqiang Zhang, Zhao-Xia Chen
Publication date: 5 September 2016
Published in: Computational \& Mathematical Methods in Medicine (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2015/689137
Biochemistry, molecular biology (92C40) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Systems biology, networks (92C42)
Related Items (7)
Steady-state-preserving simulation of genetic regulatory systems ⋮ Efficient exponential methods for genetic regulatory systems ⋮ On modified TDRKN methods for second-order systems of differential equations ⋮ Novel phase-fitted symmetric splitting methods for chemical oscillators ⋮ Phase-fitted and amplification-fitted higher order two-derivative Runge-Kutta method for the numerical solution of orbital and related periodical ivps ⋮ Exponentially fitted two-derivative DIRK methods for oscillatory differential equations ⋮ Unnamed Item
Cites Work
- Unnamed Item
- A four-step phase-fitted method for the numerical integration of second order initial-value problems
- On explicit two-derivative Runge-Kutta methods
- On the frequency choice in trigonometrically fitted methods
- An exponentially-fitted Runge-Kutta method for the numerical integration of initial-value problems with periodic or oscillating solutions
- Runge-Kutta algorithms for oscillatory problems
- Frequency evaluation in exponential fitting multistep algorithms for ODEs
- Comparing different ODE modelling approaches for gene regulatory networks
- Exponentially fitted Runge-Kutta methods
- Limit-cycle-preserving simulation of gene regulatory oscillators
- Dynamic patterns of gene regulation. I: Simple two-gene systems
- Splitting strategy for simulating genetic regulatory networks
- Trigonometrically fitted two-derivative Runge-Kutta methods for solving oscillatory differential equations
- Modified explicit Runge-Kutta methods for the numerical solution of the Schrödinger equation
- Numerical integration of ordinary differential equations based on trigonometric polynomials
- Numerical integration of products of Fourier and ordinary polynomials
- Frequency evaluation for exponentially fitted Runge-Kutta methods
- Multistep Numerical Methods Based on the Scheifele G-Functions with Application to Satellite Dynamics
- Solving Ordinary Differential Equations I
- Numerical Methods for Ordinary Differential Equations
- Frequency determination and step-length control for exponentially-fitted Runge-Kutta methods
- Runge-Kutta methods: Some historical notes
This page was built for publication: Exponentially fitted two-derivative Runge-Kutta methods for simulation of oscillatory genetic regulatory systems
