mlsanityData to 14 Oct 2026

Flow Matching Meets Biology and Life Science: A Survey

arXiv 2507.17731 ↗First posted 23 Jul 2025cs.LG cs.AIcited by 14

On the map: Diffusion models → Flow matching, time series and science

Abstract (arXiv)

Over the past decade, advances in generative modeling, such as generative adversarial networks, masked autoencoders, and diffusion models, have significantly transformed biological research and discovery, enabling breakthroughs in molecule design, protein generation, catalysis discovery, drug discovery, and beyond. At the same time, biological applications have served as valuable testbeds for evaluating the capabilities of generative models. Recently, flow matching has emerged as a powerful and efficient alternative to diffusion-based generative modeling, with growing interest in its application to problems in biology and life sciences. This paper presents the first comprehensive survey of recent developments in flow matching and its applications in biological domains. We begin by systematically reviewing the foundations and variants of flow matching, and then categorize its applications into three major areas: biological sequence modeling, molecule generation and design, and peptide and protein generation. For each, we provide an in-depth review of recent progress. We also summarize commonly used datasets and software tools, and conclude with a discussion of potential future directions. The corresponding curated resources are available at https://github.com/Violet24K/Awesome-Flow-Matching-Meets-Biology.

Key facts. Cited by 14 papers in the map (data through 14 Oct 2026). Placed in Flow matching, time series and science, one of 14 directions in Diffusion models. Builds on 138 of its 291 references that are in the map. First posted on arXiv 23 Jul 2025.

Builds on

138 of 291 references.

Closest ancestors · 42

Same direction, newest first

  1. 2025Efficient Molecular Conformer Generation with SO(3)-Averaged Flow Matching and Reflow13 Jul
  2. 2025Controlled Generation with Equivariant Variational Flow Matching23 Jun
  3. 2025Riemannian Flow Matching for Brain Connectivity Matrices via Pullback Geometry20 May
  4. 2025Multi-Objective-Guided Discrete Flow Matching for Controllable Biological Sequence Design11 May
  5. 2025α-Flow: A Unified Framework for Continuous-State Discrete Flow Matching Models14 Apr
  6. 2025Gumbel-Softmax Flow Matching with Straight-Through Guidance for Controllable Biological Sequence Generation21 Mar
  7. 2025CellFlux: Simulating Cellular Morphology Changes via Flow Matching13 Feb
  8. 2024Stiefel Flow Matching for Moment-Constrained Structure Elucidation17 Dec
  9. 2024EquiFlow: Equivariant Conditional Flow Matching with Optimal Transport for 3D Molecular Conformation Prediction15 Dec
  10. 2024Flow Matching Guide and Code9 Dec
  11. 2024Flow Matching with General Discrete Paths: A Kinetic-Optimal Perspective4 Dec
  12. 2024Exploring Discrete Flow Matching for 3D De Novo Molecule Generation25 Nov
30 more
  1. 2024Improving Molecular Graph Generation with Flow Matching and Optimal Transport8 Nov
  2. 2024Wasserstein Flow Matching: Generative modeling over families of distributions1 Nov
  3. 2024Training Free Guided Flow Matching with Optimal Control23 Oct
  4. 2024DeFoG: Discrete Flow Matching for Graph Generation5 Oct
  5. 2024Stream-level flow matching with Gaussian processes30 Sep
  6. 2024Discrete Flow Matching22 Jul
  7. 2024Variational Flow Matching for Graph Generation7 Jun
  8. 2024Improving the Training of Rectified Flows30 May
  9. 2024Sequence-Augmented SE(3)-Flow Matching For Conditional Protein Backbone Generation30 May
  10. 2024Categorical Flow Matching on Statistical Manifolds26 May
  11. 2024Accelerating 3D Molecule Generation via Jointly Geometric Optimal Transport24 May
  12. 2024Metric Flow Matching for Smooth Interpolations on the Data Manifold23 May
  13. 2024Fisher Flow Matching for Generative Modeling over Discrete Data23 May
  14. 2024Mixed Continuous and Categorical Flow Matching for 3D De Novo Molecule Generation30 Apr
  15. 2024Optimal Flow Matching: Learning Straight Trajectories in Just One Step19 Mar
  16. 2024Extended Flow Matching: a Method of Conditional Generation with Generalized Continuity Equation29 Feb
  17. 2024Dirichlet Flow Matching with Applications to DNA Sequence Design8 Feb
  18. 2024Generative Flows on Discrete State-Spaces: Enabling Multimodal Flows with Applications to Protein Co-Design7 Feb
  19. 2024AlphaFold Meets Flow Matching for Generating Protein Ensembles7 Feb
  20. 2023GENOT: Entropic (Gromov) Wasserstein Flow Matching with Applications to Single-Cell Genomics13 Oct
  21. 2023SE(3)-Stochastic Flow Matching for Protein Backbone Generation3 Oct
  22. 2023Equivariant flow matching26 Jun
  23. 2023Flow Matching on General Geometries7 Feb
  24. 2023SE(3) diffusion model with application to protein backbone generation5 Feb
  25. 2023Improving and generalizing flow-based generative models with minibatch optimal transport1 Feb
  26. 2022Flow Matching for Generative Modeling6 Oct
  27. 2022DiGress: Discrete Denoising diffusion for graph generation29 Sep
  28. 2022MDM: Molecular Diffusion Model for 3D Molecule Generation13 Sep
  29. 2022Flow Straight and Fast: Learning to Generate and Transfer Data with Rectified Flow7 Sep
  30. 2022Equivariant Diffusion for Molecule Generation in 3D31 Mar

Other references · 96

  1. 2020Denoising Diffusion Probabilistic Modelscited by 21,076
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  4. 2021Masked Autoencoders Are Scalable Vision Learnerscited by 7,403
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  30. 2020Riemannian Continuous Normalizing Flowscited by 145
  31. 2024Consistency Models Made Easycited by 144
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  1. 2025Branching Flows: Discrete, Continuous, and Manifold Flow Matching with Splits and Deletions
  2. 2025Energy-Based Flow Matching for Generating 3D Molecular Structure
  3. 2024A survey of probabilistic generative frameworks for molecular simulations
  4. 2026ProHiFlo: Hierarchical Flow Matching with Functional Guidance for De Novo Protein Generation
  5. 2026Active Flow Matching
  6. 2023Equivariant Flow Matching with Hybrid Probability Transport
  7. 2026Flexible Flows for Biological Sequence Design
  8. 2025From thermodynamics to protein design: Diffusion models for biomolecule generation towards autonomous protein engineering