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N-Orbit: towards a universal model and metric for comparing tissue microenvironments
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  • Published: 22 May 2026

N-Orbit: towards a universal model and metric for comparing tissue microenvironments

  • Barbara Xiong  ORCID: orcid.org/0000-0002-5202-10951,2,
  • Yuxuan Hu3 &
  • Kai Tan  ORCID: orcid.org/0000-0002-9104-55674,5,6 

Nature Communications (2026) Cite this article

We are providing an unedited version of this manuscript to give early access to its findings. Before final publication, the manuscript will undergo further editing. Please note there may be errors present which affect the content, and all legal disclaimers apply.

Subjects

  • Computational biology and bioinformatics
  • Computational models
  • Data processing
  • Gene expression
  • Transcriptomics

Abstract

Spatial omics technologies facilitate comprehensive exploration of tissue microenvironments across development and disease. Yet a theoretical framework for modeling and comparing tissue architecture in diverse biological contexts remains lacking. We introduce N-Orbit, a mathematical model that captures both cell-type composition and spatial relationships within tissue cellular neighborhoods, encoding them as vectors for efficient distance calculations. While not a neighborhood detection method itself, N-Orbit enhances insights gleaned from neighborhoods generated by the plethora of recently developed methods. We benchmark the N-Orbit-based neighborhood distance metric on spatial omics datasets that include ground-truth neighborhoods and clinical outcomes. We demonstrate that N-Orbit outperforms cell-type-enrichment-based metrics in discriminating among neighborhood types, predicting clinical variables, and identifying homologous structures across species. Additionally, N-Orbit enhances model interpretability by tracing neighborhoods back to enriched spatial motifs. N-Orbit holds significant potential for deepening our understanding of how tissue microenvironments remodel during development, disease, and evolution.

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Acknowledgements

The authors thank the Children’s Hospital of Philadelphia Research Information Services for providing computing support.

Funding

This work was supported by the National Institutes of Health (NIH) Human Biomolecular Atlas Program grant under award #U54 HL165442 (K.T.), the National Cancer Institute (NCI) Human Tumor Atlas Network grant under award #U2C CA233285 (K.T.), and the NCI Ruth L. Kirschstein National Research Service F30 award F30CA298606 (B.X.). K.T. holds the Richard and Sheila Sanford Endowed Chair at CHOP.

Author information

Authors and Affiliations

  1. Graduate Group in Genomics and Computational Biology, Perelman School of Medicine, University of Pennsylvania, Philadelphia, PA, USA

    Barbara Xiong

  2. Medical Scientist Training Program, Perelman School of Medicine, University of Pennsylvania, Philadelphia, PA, USA

    Barbara Xiong

  3. School of Computer Science and Technology, Xidian University, Xi’an, Shaanxi, China

    Yuxuan Hu

  4. Department of Pediatrics, Perelman School of Medicine, University of Pennsylvania, Philadelphia, PA, USA

    Kai Tan

  5. Division of Oncology and Center for Childhood Cancer Research, Children’s Hospital of Philadelphia, Philadelphia, PA, USA

    Kai Tan

  6. Center for Single Cell Biology, Children’s Hospital of Philadelphia, Philadelphia, PA, USA

    Kai Tan

Authors
  1. Barbara Xiong
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  2. Yuxuan Hu
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  3. Kai Tan
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Corresponding author

Correspondence to Kai Tan.

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Competing interests

The authors declare no competing interests.

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Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

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Cite this article

Xiong, B., Hu, Y. & Tan, K. N-Orbit: towards a universal model and metric for comparing tissue microenvironments. Nat Commun (2026). https://doi.org/10.1038/s41467-026-73561-8

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  • Received: 05 December 2025

  • Accepted: 12 May 2026

  • Published: 22 May 2026

  • DOI: https://doi.org/10.1038/s41467-026-73561-8

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