Graph abstraction reconciles clustering with trajectory inference through a topology preserving map of single cells

Author:

Wolf F. AlexanderORCID,Hamey Fiona,Plass Mireya,Solana Jordi,Dahlin Joakim S.,Göttgens Berthold,Rajewsky Nikolaus,Simon Lukas,Theis Fabian J.

Abstract

AbstractSingle-cell RNA-seq quantifies biological heterogeneity across both discrete cell types and continuous cell transitions. Partition-based graph abstraction (PAGA) provides an interpretable graph-like map of the arising data manifold, based on estimating connectivity of manifold partitions (https://github.com/theislab/paga). PAGA maps provide interpretable discrete and continuous latent coordinates for both disconnected and continuous structure in data, preserve the global topology of data, allow analyzing data at different resolutions and result in much higher computational efficiency of the typical exploratory data analysis workflow — one million cells take on the order of a minute, a speedup of 130 times compared to UMAP. We demonstrate the method by inferring structure-rich cell maps with consistent topology across four hematopoietic datasets, confirm the reconstruction of lineage relations of adult planaria and the zebrafish embryo, benchmark computational performance on a neuronal dataset and detect a biological trajectory in one deep-learning processed image dataset.

Publisher

Cold Spring Harbor Laboratory

Reference67 articles.

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5. A set of data points can never be an algebraic manifold as it lacks any smoothness property and the notion (algebraic) variety would be more appropriate. However, the notion manifold has been established both in machine learning and in single-cell biology as one often thinks of data as arising from a noisy measurement of the smooth manifold of a dynamical system.

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