Integrative Mathematical and Machine Learning Approaches for Understanding Gut Microbiome Dynamics and Disease Associations

Authors

  • Vikas Kumar School of Computational & Integrative Sciences, Jawaharlal Nehru University, New Delhi 110067, India
  • Sapna Ratan Shah School of Computational & Integrative Sciences, Jawaharlal Nehru University, New Delhi 110067, India

DOI:

https://doi.org/10.31305/rrijm.2025.v10.n11.037

Keywords:

Gut microbiome, mathematical modelling, machine learning, ecological dynamics, disease prediction, longitudinal data, multi omics integration, precision medicine

Abstract

The human gut microbiome constitutes a dynamic, complex ecosystem directly linked to host health and disease. Modern high throughput omics technologies generate vast microbial composition and functional data, prompting the need for robust analytical frameworks. Mathematical modeling captures mechanistic interactions and temporal dynamics, while machine learning (ML) excels at high dimensional pattern discovery and disease prediction. Integrative mathematical–ML approaches synergize mechanistic insights with data driven prediction, offering powerful tools to understand microbial community behaviour and its association with disease. This review synthesizes key modeling paradigms ranging from differential equation systems and ecological networks to supervised/unsupervised ML, deep learning and hybrid frameworks. We highlight applications in metabolic disease, inflammatory disorders, cancer immunotherapy, and prognostic disease modeling. Core challenges high dimensionality, compositional data bias, interpretability, and dynamic sampling sparsity are discussed alongside future directions including explainable AI, causal inference, multi omics integration, and personalized predictive modelling. Integrative approaches hold promise for new diagnostics, therapeutic strategies, and precision medicine.

References

Alqahtani, M. S. (2025). The gut microbiota–metabolic axis. Journal of Clinical Endocrinology & Metabolism, 109(11), 2709–2719. https://academic.oup.com/jcem/article/109/11/2709/7718329 (OUP Academic)

Boulangé, C. L., Neves, A. L., Chilloux, J., Nicholson, J. K., & Dumas, M. E. (2016). Impact of the gut microbiota on inflammation, obesity, and metabolic disease. Genome Medicine, 8, Article 42. https://doi.org/10.1186/s13073-016-0303-2 (PubMed)

Bucci, V., Tzen, B., Li, N., Simmons, M., Tanoue, T., Bogart, E., … Xavier, J. B. (2016). MDSINE: Microbial dynamical systems inference engine for microbiome time series analyses. Genome Biology, 17, Article 121. (seminal gLV + microbial dynamics inference framework)

Caporaso, J. G., Lauber, C. L., Walters, W. A., Berg Lyons, D., Huntley, J., Fierer, N., … Knight, R. (2012). Ultra high throughput microbial community analysis on the Illumina HiSeq and MiSeq platforms. The ISME Journal, 6(8), 1621–1624. (standard citation for high throughput microbiome sequencing; commonly referenced in microbiome studies)

Cho, I., & Blaser, M. J. (2012). The human microbiome: At the interface of health and disease. Nature Reviews Genetics, 13(4), 260–270.

Chong, S., Lin, M., Chong, D., Jensen, S., & Lau, N. S. (2025). A systematic review on gut microbiota in type 2 diabetes mellitus. Frontiers in Endocrinology. https://pubmed.ncbi.nlm.nih.gov/39897957/ (PubMed)

Gomes, A. C., Bueno, A. A., de Souza, R. G. M., Mota, J. F., & Rogero, M. M. (2018). The human gut microbiota: Metabolism and perspective in obesity and metabolic disorders. Gut Microbes. https://doi.org/10.1080/19490976.2018.1465157 (Taylor & Francis Online)

Knights, D., Parfrey, L. W., Zaneveld, J., Lozupone, C., & Knight, R. (2011). Human associated microbial signatures: examining their predictive value. Cell Host & Microbe, 10(4), 292–296. (early gut microbiome ML applications)

MDSINE2 Consortium. (2025). Learning ecosystem scale dynamics from microbiome data with MDSINE2. Nature Microbiology. https://www.nature.com/articles/s41564-025-02112-6 (Nature)

Pasolli, E., Truong, D. T., Malik, F., Waldron, L., & Segata, N. (2016). Machine learning meta analysis of large metagenomic datasets: tools and biological insights. PLoS Computational Biology, 12(7), e1004977. (example of ML applied to microbiome classification)

Martín, M. Á., Crawford, J. W., Neal, A. L., & García-Gutiérrez, C. (2021). Enterotype-like microbiome stratification as emergent structure in complex adaptive systems: a mathematical model. Fractals, 29(07).

Shoaie, S., Ghaffari, P., Kovatcheva-Datchary, P., Mardinoglu, A., Sen, P., Pujos-Guillot, E., de Wouters, T., Juste, C., Rizkalla, S. W., Rizkalla, S. W., Chilloux, J., Hoyles, L., Nicholson, J. K., Doré, J., Dumas, M. E., Clément, K., Clément, K., Clément, K., Bäckhed, F., … Nielsen, J. (2015). Quantifying Diet-Induced Metabolic Changes of the Human Gut Microbiome. Cell Metabolism, 22(2), 320–331

Bucci, V., & Xavier, J. B. (2014). Towards predictive models of the human gut microbiome. Journal of Molecular Biology, 426(23), 3907–3916.

Martín, M. Á. (2018). Enterotype-like microbiome stratification as emergent structure in complex adaptive systems: A mathematical model. bioRxiv, 402701. https://doi.org/10.1101/402701.

Quince, C., Walker, A. W., Simpson, J. T., Loman, N. J., & Segata, N. (2017). Shotgun metagenomics, from sampling to analysis. Nature Biotechnology, 35(9), 833–844. (definitive review on shotgun metagenomics workflows)

Stein, R. R., Bucci, V., Toussaint, N. C., Buffie, C. G., Rätsch, G., Pamer, E. G., … Xavier, J. B. (2013). Ecological modeling from time series inference: insight into dynamics and stability of intestinal microbiota. PLoS Computational Biology, 9(12), e1003388. (example of generalized Lotka–Volterra model use in microbiome ecology)

Turnbaugh, P. J., Ley, R. E., Hamady, M., Fraser Liggett, C. M., Knight, R., & Gordon, J. I. (2007). The human microbiome project. Nature, 449(7164), 804–810. (landmark review on microbiome diversity)

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Published

15-11-2025

How to Cite

Kumar, V., & Shah, S. R. (2025). Integrative Mathematical and Machine Learning Approaches for Understanding Gut Microbiome Dynamics and Disease Associations. RESEARCH REVIEW International Journal of Multidisciplinary, 10(11), 368–377. https://doi.org/10.31305/rrijm.2025.v10.n11.037

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