title: Accurate Reconstruction of Cell and Particle Tracks from 3D Live Imaging Data.
abstract: Spatial structures often constrain the 3D movement of cells or particles in vivo, yet this information is obscured when microscopy data are analyzed using standard approaches. Here, we present methods, called unwrapping and Riemannian manifold learning, for mapping particle-tracking data along unseen and irregularly curved surfaces onto appropriate 2D representations. This is conceptually similar to the problem of reconstructing accurate geography from conventional Mercator maps, but our methods do not require prior knowledge of the environments' physical structure. Unwrapping and Riemannian manifold learning accurately recover the underlying 2D geometry from 3D imaging data without the need for fiducial marks. They outperform standard x-y projections, and unlike standard dimensionality reduction techniques, they also successfully detect both bias and persistence in cell migration modes. We demonstrate these features on simulated data and zebrafish and Drosophila in vivo immune cell trajectory datasets. Software packages that implement unwrapping and Riemannian manifold learning are provided.
authors.affiliation: Department of Life Sciences, Imperial College London, London, SW7 2AZ, UK; Centre for Integrative Systems Biology and Bioinformatics, Imperial College London, SW72AZ, UK.
authors.forename: Juliane
authors.initials: J
authors.lastname: Liepe
authors.affiliation: Department of Life Sciences, Imperial College London, London, SW7 2AZ, UK; Centre for Integrative Systems Biology and Bioinformatics, Imperial College London, SW72AZ, UK.
authors.forename: Aaron
authors.initials: A
authors.lastname: Sim
authors.affiliation: School of Biochemistry, Biomedical Sciences, University of Bristol, Bristol, BS8 1TD, UK.
authors.forename: Helen
authors.initials: H
authors.lastname: Weavers
authors.affiliation: School of Physiology, Pharmacology and Neuroscience, Biomedical Sciences, University of Bristol, Bristol, BS8 1TD, UK.
authors.forename: Laura
authors.initials: L
authors.lastname: Ward
authors.affiliation: School of Biochemistry, Biomedical Sciences, University of Bristol, Bristol, BS8 1TD, UK; School of Physiology, Pharmacology and Neuroscience, Biomedical Sciences, University of Bristol, Bristol, BS8 1TD, UK; School of Medicine, University of Cardiff, BS8 1TD, UK.
authors.forename: Paul
authors.initials: P
authors.lastname: Martin
authors.affiliation: Department of Life Sciences, Imperial College London, London, SW7 2AZ, UK; Centre for Integrative Systems Biology and Bioinformatics, Imperial College London, SW72AZ, UK. Electronic address: m.stumpf@Imperial.ac.uk.
authors.forename: Michael P H
authors.initials: MP
authors.lastname: Stumpf
mesh_terms: D000465:Algorithms; D021621:Imaging, Three-Dimensional; D008279:Magnetic Resonance Imaging; D008853:Microscopy; D019047:Phantoms, Imaging; D015203:Reproducibility of Results