Identification of Critical States in Complex Biological Systems Using Cell-Specific Causal Network Entropy.
Jiayuan Zhong1, Ziyi Huang2, Jianqiang Qiu1
1School of Mathematics, Foshan University, Foshan 528000, China.
Research (Washington, D.C.)
|August 28, 2025
Summary
We developed a new method, cell-specific causal network entropy (CCNE), to identify critical states in biological systems using single-cell data. CCNE effectively detects early warning signals of critical transitions, offering insights into complex biological processes.
Area of Science:
- Complex biological systems
- Systems biology
- Computational biology
Background:
- Complex biological systems often undergo critical transitions, marked by abrupt qualitative changes between stable states.
- Identifying these critical states and their signaling molecules is crucial for understanding biological mechanisms.
- Traditional methods struggle with high-dimensional, noisy single-cell data for early warning of critical states.
Purpose of the Study:
- To propose a novel quantitative method for identifying critical states in complex biological processes at the single-cell level.
- To enable early detection and characterization of critical transitions in biological systems.
- To address the limitations of existing methods in model-free, high-dimensional single-cell data analysis.
Main Methods:
- Developed cell-specific causal network entropy (CCNE), a novel quantitative method.
- Inferred cell-specific causal networks and quantified dynamic causal changes.
- Validated CCNE using numerical simulations and five distinct real-world single-cell datasets.
Main Results:
- CCNE accurately identifies critical states and early warning signals of critical transitions.
- CCNE outperforms existing methods in detecting critical transition signals.
- CCNE serves as a computational tool for analyzing temporal changes in cellular heterogeneity and clustering cells.
Conclusions:
- CCNE is an effective method for identifying critical states in complex biological processes using single-cell data.
- The CCNE score provides valuable insights into dynamic causal changes and cellular heterogeneity.
- The reliability of CCNE is supported by functional enrichment and pathway analysis of signaling molecules.
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