Most probable transition pathways and maximal likely trajectories in a genetic regulatory system
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Publication:2162576
DOI10.1016/j.physa.2019.121779OpenAlexW2950497146MaRDI QIDQ2162576
Xiaofan Li, Xiao Wang, Xiujun Cheng, Hui Wang, Jin-qiao Duan
Publication date: 8 August 2022
Published in: Physica A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physa.2019.121779
nonlocal Fokker-Planck equationBrownian motion and Lévy motionmaximal likely evolution trajectoriesmost probable transition pathwaysOnsager-Machlup action functionalstochastic genetic regulation system
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Cites Work
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- Fokker-Planck equations for stochastic dynamical systems with symmetric Lévy motions
- Noise-induced transitions. Theory and applications in physics, chemistry, and biology
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- The Onsager-Machlup function as Lagrangian for the most probable path of a diffusion process
- Escape from a metastable state with fluctuating barrier
- Unconditionally optimal error estimates of a linearized Galerkin method for nonlinear time fractional reaction-subdiffusion equations
- Lévy flights and related topics in physics. Proceedings of the international workshop, held at Nice, France, 27-30 June, 1994
- A novel compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction-diffusion equations
- Most probable dynamics of some nonlinear systems under noisy fluctuations
- Using Gene Expression Noise to Understand Gene Regulation
- Dynamical inference for transitions in stochastic systems withα-stable Lévy noise
- LÉVY FLIGHT SUPERDIFFUSION: AN INTRODUCTION
- Lévy Processes and Stochastic Calculus
- A Stochastic Pitchfork Bifurcation in Most Probable Phase Portraits
- Introduction to Applied Nonlinear Dynamical Systems and Chaos
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