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Capturing Spatiotemporal Signaling Patterns in Cellular Data with Geometric Scattering Trajectory Homology

View ORCID ProfileDhananjay Bhaskar, View ORCID ProfileJessica Moore, Feng Gao, Bastian Rieck, Firas Khasawneh, Elizabeth Munch, Valentina Greco, Smita Krishnaswamy
doi: https://doi.org/10.1101/2023.03.22.533807
Dhananjay Bhaskar
1Department of Genetics, Yale School of Medicine
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Jessica Moore
1Department of Genetics, Yale School of Medicine
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Feng Gao
2Mailman School of Public Health, Columbia University
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Bastian Rieck
3Institute of AI for Health, Helmholtz Munich, Technical University of Munich
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Firas Khasawneh
4Department of Mechanical Engineering, Michigan State University
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Elizabeth Munch
5Department of Computational Mathematics, Science and Engineering, Michigan State University
6Department of Mathematics, Michigan State University
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Valentina Greco
1Department of Genetics, Yale School of Medicine
7Department of Cell Biology, Yale School of Medicine
8Department of Dermatology, Yale School of Medicine
9Yale Stem Cell Center, Yale University
10Yale Cancer Center, Yale University
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  • For correspondence: valentina.greco@yale.edu smita.krishnaswamy@yale.edu
Smita Krishnaswamy
1Department of Genetics, Yale School of Medicine
10Yale Cancer Center, Yale University
11Department of Computer Science, Yale University
12Program for Computational Biology and Bioinformatics, Yale University
13Program for Applied Mathematics, Yale University
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  • For correspondence: valentina.greco@yale.edu smita.krishnaswamy@yale.edu
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Abstract

Cells communicate with one another through a variety of signaling mechanisms. Exchange of information via these mechanisms allows cells to coordinate their behaviour and respond to environmental stress and other stimuli. To facilitate quantitative understanding of complex spatiotemporal signaling activity, we developed Geometric Scattering Trajectory Homology, a general framework that encapsulates time-lapse signals on a cell adjacency graph in a low-dimensional trajectory. We tested this framework using computational models of collective oscillations and calcium signaling in the Drosophila wing imaginal disc, as well as experimental data, including in vitro ERK signaling in human mammary epithelial cells and in vivo calcium signaling from the mouse epidermis and visual cortex. We found that the geometry and topology of the trajectory are related to the degree of synchrony (over space and time), intensity, speed, and quasi-periodicity of the signaling pattern. We recovered model parameters and experimental conditions by training neural networks on trajectory data, showing that our approach preserves information that characterizes various cell types, tissues and drug treatments. We envisage the applicability of our framework in various biological contexts to generate new insights into cell communication.

Competing Interest Statement

The authors have declared no competing interest.

Footnotes

  • ↵† Co-first authors

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The copyright holder for this preprint is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under a CC-BY-NC-ND 4.0 International license.
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Posted March 24, 2023.
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Capturing Spatiotemporal Signaling Patterns in Cellular Data with Geometric Scattering Trajectory Homology
Dhananjay Bhaskar, Jessica Moore, Feng Gao, Bastian Rieck, Firas Khasawneh, Elizabeth Munch, Valentina Greco, Smita Krishnaswamy
bioRxiv 2023.03.22.533807; doi: https://doi.org/10.1101/2023.03.22.533807
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Capturing Spatiotemporal Signaling Patterns in Cellular Data with Geometric Scattering Trajectory Homology
Dhananjay Bhaskar, Jessica Moore, Feng Gao, Bastian Rieck, Firas Khasawneh, Elizabeth Munch, Valentina Greco, Smita Krishnaswamy
bioRxiv 2023.03.22.533807; doi: https://doi.org/10.1101/2023.03.22.533807

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