On the Mathematics of RNA Velocity II: Algorithmic Aspects

Author:

Li Tiejun,Wang Yizhuo,Yang Guoguo,Zhou PeijieORCID

Abstract

AbstractIn a previous paper [CSIAM Trans. Appl. Math. 2 (2021), 1-55], the authors proposed a theoretical framework for the analysis of RNA velocity, which is a promising concept in scRNA-seq data analysis to reveal the cell state-transition dynamical processes underlying snapshot data. The current paper is devoted to the algorithmic study of some key components in RNA velocity workflow. Four important points are addressed in this paper: (1) We construct a rational time-scale fixation method which can determine the global gene-shared latent time for cells. (2) We present an uncertainty quantification strategy for the inferred parameters obtained through the EM algorithm. (3) We establish the optimal criterion for the choice of velocity kernel bandwidth with respect to the sample size in the downstream analysis and discuss its implications. (4) We propose a temporal distance estimation approach between two cell clusters along the cellular development path. Some illustrative numerical tests are also carried out to verify our analysis. These results are intended to provide tools and insights in further development of RNA velocity type methods in the future.

Publisher

Cold Spring Harbor Laboratory

Reference50 articles.

1. Veloviz: RNA velocity-informed embeddings for visualizing cellular trajectories;Bioinformatics,2022

2. Generalizing RNA velocity to transient cell states through dynamical modeling

3. Splicejac: transition genes and state-specific gene regulation from single-cell transcriptome data;Molecular Systems Biology,2022

4. R. T. Chen , Y. Rubanova , J. Bettencourt , and D. K. Duvenaud , Neural ordinary differential equations, Advances in Neural Information Processing Systems, 31 (2018).

5. DeepVelo: Singlecell transcriptomic deep velocity field learning with neural ordinary differential equations;Science Advances,2022

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