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Updated: Sep 25, 2025

A Multilayer Microfluidic Platform for the Conduction of Prolonged Cell-Free Gene Expression
Published on: October 6, 2019
An Onsager-Machlup approach to the most probable transition pathway for a genetic regulatory network
Jianyu Hu1, Xiaoli Chen2, Jinqiao Duan3
1School of Mathematics and Statistics, Center for Mathematical Sciences, Huazhong University of Science and Technology, Wuhan 430074, China.
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.
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