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Wen-Rui Hao

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Review Open access Sep 2026

How AI Can Advance Mathematical Biology: Opportunities, Challenges, and Future Directions

Mathematical biology has long relied on mechanistic models, including ordinary and partial differential equations, stochastic systems, and agent-based models, to study biological processes across scales. These approaches remain central because they provide structure, interpretability, and biological insight. However, m...

Kobra Rabiei, G. Rempała, R. Laubenbacher et al. · 0 citations
Preprint Jul 2026

Learning the Energy Landscapes of Dynamical Systems via Energetic Variational Optimal Transport under Data Quantity--Quality Trade-offs

The energetic variational method for dynamic optimal transport (EVMDOT), which reformulates it within an energetic variational framework by combining the flow map, the least action principle, and the maximum dissipation principle, achieves an intrinsic balance between data quantity and data quality.

Shun Wang, Chun Liu, Wen-Rui Hao · 0 citations

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