An Onsager-Machlup approach to the most probable transition pathway for a genetic regulatory network
Molecular Networks
2022-04-27 v1 Dynamical Systems
Abstract
We investigate a quantitative network of gene expression dynamics describing the competence development in Bacillus subtilis. First, we introduce an Onsager-Machlup approach to quantify the most probable transition pathway for both excitable and bistable dynamics. Then, we apply a machine learning method to calculate the most probable transition pathway via the Euler-Lagrangian equation. Finally, we analyze how the noise intensity affects the transition phenomena.
Keywords
Cite
@article{arxiv.2203.00864,
title = {An Onsager-Machlup approach to the most probable transition pathway for a genetic regulatory network},
author = {Jianyu Hu and Xiaoli Chen and Jinqiao Duan},
journal= {arXiv preprint arXiv:2203.00864},
year = {2022}
}