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LogicSR: prior-guided symbolic regression for gene regulatory network inference from single-cell transcriptomics

Dezhen Zhang1, Zhi-Ping Liu1, Rui Gao1

  • 1Center of Intelligent Medicine, School of Control Science and Engineering, Shandong University, Jinan, Shandong 250061, China.

Briefings in Bioinformatics
|November 21, 2025
PubMed
Summary

LogicSR accurately reconstructs gene regulatory networks from single-cell data by combining Boolean logic and symbolic regression. This computational framework enhances understanding of gene regulation and identifies key biological regulators.

Keywords:
biology networkgene regulatory networksnetwork inferencesingle-cell RNA-sequencing data

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Area of Science:

  • Systems Biology
  • Computational Biology
  • Genomics

Background:

  • Deciphering gene regulatory mechanisms from high-dimensional single-cell data is challenging due to data sparsity, noise, and complex transcription factor (TF)-mediated regulation.
  • Existing methods struggle to accurately model dynamic combinatorial regulatory logic inherent in biological systems.

Purpose of the Study:

  • To introduce LogicSR, a novel computational framework for reconstructing gene regulatory networks (GRNs) from single-cell gene expression data.
  • To improve the accuracy and interpretability of GRN inference by integrating Boolean logic models with symbolic regression.

Main Methods:

  • LogicSR integrates mechanistic interpretability of Boolean logical models with equation-discovery capabilities of symbolic regression.
  • A multi-objective Monte Carlo tree search (MCTS) framework incorporates prior biological knowledge to ensure plausibility and accelerate the search for governing equations.
  • The framework was evaluated on synthetic and real-world benchmark datasets, including human embryonic stem cell data.

Main Results:

  • LogicSR demonstrates high accuracy in reconstructing gene regulatory networks from single-cell data.
  • The framework outperforms existing methods on both synthetic and real-world benchmark datasets.
  • Application to human embryonic stem cell data successfully elucidated complex combinatorial TF-target gene regulations and identified key regulators.

Conclusions:

  • LogicSR provides a powerful and accurate computational framework for deciphering gene regulatory mechanisms from single-cell data.
  • The integration of Boolean logic and symbolic regression offers a promising approach for understanding complex biological regulation.
  • LogicSR has significant potential for advancing systems biology research and identifying critical regulators in various biological contexts.