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Physics-constrained neural ordinary differential equation models to discover and predict microbial community dynamics.

Journal articles  - Journal Article
Thompson, J; Connors, BM; Zavala, VM; Venturelli, OS
Published in: Proceedings of the National Academy of Sciences of the United States of America
March 2026

Microbial communities play essential roles in shaping ecosystem functions and predictive modeling frameworks are crucial for understanding, controlling, and harnessing their properties. Competition and cross-feeding of metabolites drives microbiome dynamics and functions. Existing mechanistic models that capture metabolite-mediated interactions in microbial communities have limited flexibility due to rigid assumptions. While machine learning models provide flexibility, they require large datasets, are challenging to interpret, and can overfit to experimental noise. To overcome these limitations, we develop a physics-constrained machine learning model, which we call the neural species mediator (NSM), that combines a mechanistic model of metabolite dynamics with a machine learning component. The NSM outperforms mechanistic or machine learning components on in vitro experimental datasets and provides insights into direct biological interactions. In summary, carefully embedding a neural network into a mechanistic model of microbial community dynamics improves prediction performance and interpretability compared to its constituent mechanistic or machine learning components.

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Published In

Proceedings of the National Academy of Sciences of the United States of America

DOI

EISSN

1091-6490

ISSN

0027-8424

Publication Date

March 2026

Volume

123

Issue

13

Start / End Page

e2517661123

Related Subject Headings

  • Predictive Learning Models
  • Neural Networks, Computer
  • Models, Biological
  • Microbiota
  • Machine Learning
 

Citation

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Thompson, J., Connors, B. M., Zavala, V. M., & Venturelli, O. S. (2026). Physics-constrained neural ordinary differential equation models to discover and predict microbial community dynamics. Proceedings of the National Academy of Sciences of the United States of America, 123(13), e2517661123. https://doi.org/10.1073/pnas.2517661123
Thompson, Jaron, Bryce M. Connors, Victor M. Zavala, and Ophelia S. Venturelli. “Physics-constrained neural ordinary differential equation models to discover and predict microbial community dynamics.Proceedings of the National Academy of Sciences of the United States of America 123, no. 13 (March 2026): e2517661123. https://doi.org/10.1073/pnas.2517661123.
Thompson J, Connors BM, Zavala VM, Venturelli OS. Physics-constrained neural ordinary differential equation models to discover and predict microbial community dynamics. Proceedings of the National Academy of Sciences of the United States of America. 2026 Mar;123(13):e2517661123.
Thompson, Jaron, et al. “Physics-constrained neural ordinary differential equation models to discover and predict microbial community dynamics.Proceedings of the National Academy of Sciences of the United States of America, vol. 123, no. 13, Mar. 2026, p. e2517661123. Epmc, doi:10.1073/pnas.2517661123.
Thompson J, Connors BM, Zavala VM, Venturelli OS. Physics-constrained neural ordinary differential equation models to discover and predict microbial community dynamics. Proceedings of the National Academy of Sciences of the United States of America. 2026 Mar;123(13):e2517661123.
Journal cover image

Published In

Proceedings of the National Academy of Sciences of the United States of America

DOI

EISSN

1091-6490

ISSN

0027-8424

Publication Date

March 2026

Volume

123

Issue

13

Start / End Page

e2517661123

Related Subject Headings

  • Predictive Learning Models
  • Neural Networks, Computer
  • Models, Biological
  • Microbiota
  • Machine Learning