Efficient exponential methods for genetic regulatory systems

DOI10.1016/j.cam.2023.115424zbMath1525.65065MaRDI QIDQ6049345

No author found.

Publication date: 15 September 2023

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

convergence analysislinear stability analysisexponential methodsgenetic regulatory systems

Mathematics Subject Classification ID

Biochemistry, molecular biology (92C40) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Cites Work

• Unnamed Item
• Unnamed Item
• Exponentially fitted two-derivative Runge-Kutta methods for simulation of oscillatory genetic regulatory systems
• Fourth-order two-stage explicit exponential integrators for time-dependent PDEs
• Exponential time differencing for stiff systems
• On explicit two-derivative Runge-Kutta methods
• Genetic oscillation deduced from Hopf bifurcation in a genetic regulatory network with delays
• Computational cell biology
• Comparing different ODE modelling approaches for gene regulatory networks
• Parallel exponential Rosenbrock methods
• Efficient exponential Runge-Kutta methods of high order: construction and implementation
• Dynamic patterns of gene regulation. I: Simple two-gene systems
• Exponential time differencing for mimetic multilayer Ocean models
• Exponential Rosenbrock methods of order five -- construction, analysis and numerical comparisons
• Splitting strategy for simulating genetic regulatory networks
• Further development of efficient and accurate time integration schemes for meteorological models
• Explicit exponential Runge-Kutta methods of high order for parabolic problems
• Steady-state-preserving simulation of genetic regulatory systems
• Efficient exponential time integration for simulating nonlinear coupled oscillators
• Modeling Biomolecular Networks in Cells
• Exponential Rosenbrock-Type Methods
• The Scaling and Squaring Method for the Matrix Exponential Revisited
• Stability of genetic regulatory networks with time delay
• Generalized Runge-Kutta Processes for Stable Systems with Large Lipschitz Constants
• Explicit Exponential Runge--Kutta Methods for Semilinear Parabolic Problems

This page was built for publication: Efficient exponential methods for genetic regulatory systems