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Learning Asynchronous Boolean Networks From Single-Cell Data Using Multiobjective Cooperative Genetic Programming.

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    Area of Science:

    • Computational Biology
    • Systems Biology
    • Bioinformatics

    Background:

    • High-throughput single-cell technologies generate vast gene expression data for computational modeling of gene regulatory networks (GRNs).
    • Existing Boolean network (BN) models for GRNs often rely on bulk time-series data and assume synchronous updates, which is biologically unrealistic.
    • The synchronous update assumption in BN modeling simplifies computation but limits biological accuracy.

    Purpose of the Study:

    • To propose a novel framework, SgpNet, for inferring asynchronous Boolean networks (BNs) from single-cell data.
    • To address the limitations of synchronous update schemes in current GRN modeling.
    • To develop a method that matches the asynchronous state transition graph (STG) from single-cell data while preserving GRN sparsity.

    Main Methods:

    • Formulated the inference of asynchronous BNs as a multiobjective optimization problem.
    • Employed genetic programming to encode Boolean functions as trees and utilized cooperative coevolution for simultaneous network function evolution.
    • Incorporated a regulator preselection strategy for enhanced learning efficiency and an error threshold estimation heuristic for parameter tuning.

    Main Results:

    • SgpNet achieved comparable inference accuracy to state-of-the-art methods on both synthetic and experimental single-cell data.
    • The proposed framework significantly reduced the number of parameters compared to existing methods.
    • SgpNet eliminated artificial restrictions on Boolean function structures and demonstrated potential for scalability through parallelization.

    Conclusions:

    • SgpNet provides a more biologically realistic approach to modeling GRNs by adopting an asynchronous update scheme.
    • The framework offers improved efficiency and flexibility in inferring BNs from single-cell data.
    • SgpNet represents a significant advancement in computational GRN modeling, enabling more accurate and scalable network inference.