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Updated: Aug 15, 2025

Modeling the Functional Network for Spatial Navigation in the Human Brain
Published on: October 13, 2023
RCFGL: Rapid Condition adaptive Fused Graphical Lasso and application to modeling brain region co-expression networks
Souvik Seal1, Qunhua Li2, Elle Butler Basner2
1Department of Biostatistics and Informatics, Colorado School of Public Health, University of Colorado Anschutz Medical Campus, Aurora, Colorado, United States of America.
We developed rapid condition adaptive fused graphical lasso (RCFGL), a faster method for inferring gene co-expression networks across multiple conditions. RCFGL improves computational efficiency and scalability, enabling deeper insights into gene regulation and pathway activity.
Area of Science:
- Computational biology
- Systems biology
- Bioinformatics
Background:
- Gene co-expression networks are crucial for understanding gene regulation and pathway activity.
- Jointly estimating networks across multiple conditions enhances analytical power and reveals condition-specific patterns.
- Existing methods like Condition Adaptive Fused Graphical Lasso (CFGL) face computational limitations.
Purpose of the Study:
- To propose a faster and more scalable alternative to CFGL for joint gene co-expression network estimation.
- To improve computational efficiency and generalize the method for more than three conditions.
- To introduce a screening rule for reducing computational complexity by identifying disjoint sub-networks.
Main Methods:
- Developed Rapid Condition Adaptive Fused Graphical Lasso (RCFGL) by incorporating condition specificity into the Fused Multiple Graphical Lasso (FMGL) model.
- Employed a more efficient algorithm with a computational complexity of O(p2K).
- Introduced a novel screening rule to decompose the network estimation problem into smaller sub-networks.
Main Results:
- RCFGL demonstrates significant computational advantages and superior performance compared to FGL, FMGL, and CFGL in simulations and real data.
- The method successfully estimated gene co-expression networks across different rat brain regions.
- The proposed method is easily generalizable for more than three conditions.
Conclusions:
- RCFGL offers a computationally efficient and scalable solution for joint gene co-expression network inference.
- The method provides valuable insights into condition-specific gene regulation and pathway activity.
- An accessible C and Python package is available for implementing RCFGL.
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