MIOFlow 2.0: A unified framework for inferring cellular stochastic dynamics from single cell and spatial transcriptomics data

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Hauptverfasser: Sun, Xingzhi, Rocha, João Felipe, Phelan, Brett, Bhaskar, Dhananjay, Huguet, Guillaume, Zhang, Yanlei, Tong, Alexander, Xu, Ke, Fasina, Oluwadamilola, Gerstein, Mark, Ivanova, Natalia, Chaffer, Christine L., Wolf, Guy, Krishnaswamy, Smita
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Veröffentlicht: 2026
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author Sun, Xingzhi
Rocha, João Felipe
Phelan, Brett
Bhaskar, Dhananjay
Huguet, Guillaume
Zhang, Yanlei
Tong, Alexander
Xu, Ke
Fasina, Oluwadamilola
Gerstein, Mark
Ivanova, Natalia
Chaffer, Christine L.
Wolf, Guy
Krishnaswamy, Smita
author_facet Sun, Xingzhi
Rocha, João Felipe
Phelan, Brett
Bhaskar, Dhananjay
Huguet, Guillaume
Zhang, Yanlei
Tong, Alexander
Xu, Ke
Fasina, Oluwadamilola
Gerstein, Mark
Ivanova, Natalia
Chaffer, Christine L.
Wolf, Guy
Krishnaswamy, Smita
contents Understanding cellular trajectories via time-resolved single-cell transcriptomics is vital for studying development, regeneration, and disease. A key challenge is inferring continuous trajectories from discrete snapshots. Biological complexity stems from stochastic cell fate decisions, temporal proliferation changes, and spatial environmental influences. Current methods often use deterministic interpolations treating cells in isolation, failing to capture the probabilistic branching, population shifts, and niche-dependent signaling driving real biological processes. We introduce Manifold Interpolating Optimal-Transport Flow (MIOFlow) 2.0. This framework learns biologically informed cellular trajectories by integrating manifold learning, optimal transport, and neural differential equations. It models three core processes: (1) stochasticity and branching via Neural Stochastic Differential Equations; (2) non-conservative population changes using a learned growth-rate model initialized with unbalanced optimal transport; and (3) environmental influence through a joint latent space unifying gene expression with spatial features like local cell type composition and signaling. By operating in a PHATE-distance matching autoencoder latent space, MIOFlow 2.0 ensures trajectories respect the data's intrinsic geometry. Empirical comparisons show expressive trajectory learning via neural differential equations outperforms existing generative models, including simulation-free flow matching. Validated on synthetic datasets, embryoid body differentiation, and spatially resolved axolotl brain regeneration, MIOFlow 2.0 improves trajectory accuracy and reveals hidden drivers of cellular transitions, like specific signaling niches. MIOFlow 2.0 thus bridges single-cell and spatial transcriptomics to uncover tissue-scale trajectories.
format Preprint
id arxiv_https___arxiv_org_abs_2603_22564
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle MIOFlow 2.0: A unified framework for inferring cellular stochastic dynamics from single cell and spatial transcriptomics data
Sun, Xingzhi
Rocha, João Felipe
Phelan, Brett
Bhaskar, Dhananjay
Huguet, Guillaume
Zhang, Yanlei
Tong, Alexander
Xu, Ke
Fasina, Oluwadamilola
Gerstein, Mark
Ivanova, Natalia
Chaffer, Christine L.
Wolf, Guy
Krishnaswamy, Smita
Machine Learning
Understanding cellular trajectories via time-resolved single-cell transcriptomics is vital for studying development, regeneration, and disease. A key challenge is inferring continuous trajectories from discrete snapshots. Biological complexity stems from stochastic cell fate decisions, temporal proliferation changes, and spatial environmental influences. Current methods often use deterministic interpolations treating cells in isolation, failing to capture the probabilistic branching, population shifts, and niche-dependent signaling driving real biological processes. We introduce Manifold Interpolating Optimal-Transport Flow (MIOFlow) 2.0. This framework learns biologically informed cellular trajectories by integrating manifold learning, optimal transport, and neural differential equations. It models three core processes: (1) stochasticity and branching via Neural Stochastic Differential Equations; (2) non-conservative population changes using a learned growth-rate model initialized with unbalanced optimal transport; and (3) environmental influence through a joint latent space unifying gene expression with spatial features like local cell type composition and signaling. By operating in a PHATE-distance matching autoencoder latent space, MIOFlow 2.0 ensures trajectories respect the data's intrinsic geometry. Empirical comparisons show expressive trajectory learning via neural differential equations outperforms existing generative models, including simulation-free flow matching. Validated on synthetic datasets, embryoid body differentiation, and spatially resolved axolotl brain regeneration, MIOFlow 2.0 improves trajectory accuracy and reveals hidden drivers of cellular transitions, like specific signaling niches. MIOFlow 2.0 thus bridges single-cell and spatial transcriptomics to uncover tissue-scale trajectories.
title MIOFlow 2.0: A unified framework for inferring cellular stochastic dynamics from single cell and spatial transcriptomics data
topic Machine Learning
url https://arxiv.org/abs/2603.22564