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arXiv · 2203.00864

An Onsager-Machlup approach to the most probable transition pathway for a genetic regulatory network

Jianyu Hu·Xiaoli Chen·Jinqiao Duan
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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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Jianyu Hu, Xiaoli Chen, Jinqiao Duan. 2022-03-02. An Onsager-Machlup approach to the most probable transition pathway for a genetic regulatory network. https://doi.org/10.1063/5.0088397

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