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Updated: Oct 4, 2025

Trajectory Data Analyses for Pedestrian Space-time Activity Study
Published on: February 25, 2013
Inference of trajectory presence by tree dimension and subset specificity by subtree cover
Lovemore Tenha1, Mingzhou Song1,2
1Department of Computer Science, New Mexico State University, Las Cruces, New Mexico, United States of America.
We developed a new statistical test to assess trajectory significance in single-cell data, improving the reliability of inferred cellular progressions. This method also quantifies pathway gene expression dynamics, revealing conserved tissue specificities across species.
Area of Science:
- Computational Biology
- Systems Biology
- Genomics
Background:
- Cellular differentiation involves complex dynamic transitions between states.
- Single-cell biology enables trajectory inference to model these progressions.
- Current trajectory inference methods lack statistical rigor for noisy data.
Purpose of the Study:
- To introduce a statistically robust method for assessing trajectory presence in multivariate data.
- To develop a measure for quantifying tissue specificity of gene expression dynamics.
- To evaluate the conservation of pathway dynamics specificity in human and mouse development.
Main Methods:
- Introduced a tree dimension test using Euclidean minimum spanning tree measures and a null distribution.
- Developed a subset specificity measure based on minimum subtree cover.
- Applied methods to simulated and real single-cell RNA sequencing datasets.
Main Results:
- The tree dimension test effectively assesses trajectory significance, outperforming existing statistics.
- Tissue specificity of pathway gene expression dynamics is conserved between human and mouse development.
- Signal transduction pathways show high tissue specificity, while genetic information processing pathways show low specificity.
Conclusions:
- The tree dimension test provides a statistically sound approach to trajectory inference.
- The subset specificity measure offers insights into conserved developmental dynamics.
- These methods enable prioritization of cellular dynamics and pathways in biological systems.
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