Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

Advertisement

Scientific Reports
  • View all journals
  • Search
  • My Account Login
  • Content Explore content
  • About the journal
  • Publish with us
  • Sign up for alerts
  • RSS feed
  1. nature
  2. scientific reports
  3. articles
  4. article
Bayesian inference of haematopoietic stem/progenitor cell differentiation phenotypic manifolds and their bifurcation points using Gaussian processes and Gibbs sampling
Download PDF
Download PDF
  • Article
  • Open access
  • Published: 26 May 2026

Bayesian inference of haematopoietic stem/progenitor cell differentiation phenotypic manifolds and their bifurcation points using Gaussian processes and Gibbs sampling

  • R. D. Dowling1,
  • J. Mellet2,
  • E. Wolmarans2,
  • C. Durandt2,
  • F. Joubert3,
  • J. P. de Villiers1 &
  • …
  • M. S. Pepper2 

Scientific Reports (2026) Cite this article

  • 1183 Accesses

  • Metrics details

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 models
  • Gene expression
  • Machine learning
  • Statistical methods

Abstract

Cell differentiation is a fundamental biological process, where cells progress through different stages of maturation to become specialised cell types. Understanding this process is important, and has led to the development of various mathematical models to represent cell behaviour during maturation. Advancements in these models are owed to researchers’ ability to obtain high-throughput genome-scale single-cell gene expression data, which has revolutionised our understanding of complex processes like haematopoiesis. Here we introduce BAGEL: Bayesian Analysis of Gene Expression Lineages, a novel statistical model. BAGEL offers new insights into cell differentiation through (i) a robust Bayesian inference approach that models cell differentiation as a continuous process; and (ii) a powerful projection method that enables visualisation and investigation of similarities and differences between intra- and inter-species single-cell gene expression datasets. The ability of BAGEL’s projection method to harness the collective power of multiple datasets is enormous as it can potentially accelerate and enhance our understanding of cell differentiation. Although this manuscript focuses on haematopoiesis, BAGEL should apply to various single-cell gene expression datasets, providing a deeper understanding of cellular complexity.

Similar content being viewed by others

Bayesian log-normal deconvolution for enhanced in silico microdissection of bulk gene expression data

Article Open access 20 October 2021

Predicting cell type-specific epigenomic profiles accounting for distal genetic effects

Article Open access 16 November 2024

Cell type and gene expression deconvolution with BayesPrism enables Bayesian integrative analysis across bulk and single-cell RNA sequencing in oncology

Article Open access 25 April 2022

Funding

This research received no specific grant from any funding agency in the public, commercial, or not-for-profit sectors.

Author information

Authors and Affiliations

  1. Department of Electrical, Electronic and Computer Engineering, University of Pretoria, Pretoria, 0001, South Africa

    R. D. Dowling & J. P. de Villiers

  2. Institute for Cellular and Molecular Medicine, Department of Immunology; SAMRC Extramural Unit for Stem Cell Research and Therapy; Faculty of Health Sciences, University of Pretoria, Pretoria, 0001, South Africa

    J. Mellet, E. Wolmarans, C. Durandt & M. S. Pepper

  3. Centre for Bioinformatics and Computational Biology & Genomics Research Institute, University of Pretoria, Pretoria, 0001, South Africa

    F. Joubert

Authors
  1. R. D. Dowling
    View author publications

    Search author on:PubMed Google Scholar

  2. J. Mellet
    View author publications

    Search author on:PubMed Google Scholar

  3. E. Wolmarans
    View author publications

    Search author on:PubMed Google Scholar

  4. C. Durandt
    View author publications

    Search author on:PubMed Google Scholar

  5. F. Joubert
    View author publications

    Search author on:PubMed Google Scholar

  6. J. P. de Villiers
    View author publications

    Search author on:PubMed Google Scholar

  7. M. S. Pepper
    View author publications

    Search author on:PubMed Google Scholar

Corresponding author

Correspondence to M. S. Pepper.

Ethics declarations

Competing interests

The authors declare no competing interests.

Additional information

Publisher’s note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Supplementary Information

Supplementary Information 1. (download PDF )

Supplementary Information 2. (download PDF )

Rights and permissions

Open Access This article is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License, which permits any non-commercial use, sharing, 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 you modified the licensed material. You do not have permission under this licence to share adapted material derived from this article or parts of it. 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-nc-nd/4.0/.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Dowling, R.D., Mellet, J., Wolmarans, E. et al. Bayesian inference of haematopoietic stem/progenitor cell differentiation phenotypic manifolds and their bifurcation points using Gaussian processes and Gibbs sampling. Sci Rep (2026). https://doi.org/10.1038/s41598-026-49613-w

Download citation

  • Received: 15 June 2025

  • Accepted: 15 April 2026

  • Published: 26 May 2026

  • DOI: https://doi.org/10.1038/s41598-026-49613-w

Share this article

Anyone you share the following link with will be able to read this content:

Sorry, a shareable link is not currently available for this article.

Provided by the Springer Nature SharedIt content-sharing initiative

Keywords

  • Bayesian inference
  • Bifurcation points
  • Cell differentiation
  • Continuous modelling
  • Frenet frame
  • Gaussian process
  • Gene expression
  • Gibbs sampler
  • Haematopoiesis
  • Single-cell
  • Tangent vector
Download PDF

Advertisement

Explore content

  • Research articles
  • News & Comment
  • Collections
  • Subjects
  • Follow us on Facebook
  • Follow us on X
  • Sign up for alerts
  • RSS feed

About the journal

  • About Scientific Reports
  • Contact
  • Journal policies
  • Guide to referees
  • Calls for Papers
  • Editor's Choice
  • Journal highlights
  • Open Access Fees and Funding

Publish with us

  • For authors
  • Language editing services
  • Open access funding
  • Submit manuscript

Search

Advanced search

Quick links

  • Explore articles by subject
  • Find a job
  • Guide to authors
  • Editorial policies

Scientific Reports (Sci Rep)

ISSN 2045-2322 (online)

nature.com footer links

About Nature Portfolio

  • About us
  • Press releases
  • Press office
  • Contact us

Discover content

  • Journals A-Z
  • Articles by subject
  • protocols.io
  • Nature Index

Publishing policies

  • Nature portfolio policies
  • Open access

Author & Researcher services

  • Reprints & permissions
  • Research data
  • Language editing
  • Scientific editing
  • Nature Masterclasses
  • Research Solutions

Libraries & institutions

  • Librarian service & tools
  • Librarian portal
  • Open research
  • Recommend to library

Advertising & partnerships

  • Advertising
  • Partnerships & Services
  • Media kits
  • Branded content

Professional development

  • Nature Awards
  • Nature Careers
  • Nature Conferences

Regional websites

  • Nature Africa
  • Nature China
  • Nature India
  • Nature Japan
  • Nature Middle East
  • Privacy Policy
  • Use of cookies
  • Legal notice
  • Accessibility statement
  • Terms & Conditions
  • Your US state privacy rights
Springer Nature

© 2026 Springer Nature Limited

Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing