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Fig 1.

Flowchart of the Landscape of Differentiation Dynamics (LDD) method.

A: A pool of single cells, from which we can obtain the gene expression matrix by single cell sequencing. B: After preprocessing, quality control, and dimension reduction, a low-dimensional data matrix is obtained. C: The samples are clustered into different types. Undirected differentiation paths are determined by a transition matrix between clusters. D: After applying the continuous birth-death process to model the whole differentiation process, the potential V(x), differentiation directions, and landscape can be constructed.

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Fig 2.

Differentiation landscape, differentiation paths, and gene networks for simulated models.

A and B are the LDD potential landscape and differentiation paths using data from the simulated drift-diffusion process, in which samples/cells were clustered into four groups. C and D are the two-gene and six-gene regulatory networks for simulation, respectively. For the two-gene network, the potential landscape and differentiation paths for clusters are shown in E and F, respectively, where seven clusters were detected. Constant potential V for each cluster was computed by LDD, while the landscape is an illustration constructed by the method in Materials and methods.

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Fig 3.

Differentiation landscape and differentiation paths for real datasets.

A, D are the LDD potential landscapes, B, E are the potential values plotted in the two-dimensional reduction space, and C, F are the differentiation paths. A-C use Xu’s dataset, which describes that hepatoblasts (cluster 1) differentiate into hepatocytes (cluster 3) and cholangiocytes (cluster 5). D-F use Furlan’s dataset and show that chromaffin cells (cluster 4) are generated from SCPs (cluster 1).

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Table 1.

Properties of different pseudo-time methods.

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Table 1 Expand

Table 2.

Comparison between seven pseudo-time methods.

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Table 2 Expand