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Total-Activity Conservation Analysis and Design of Boolean Networks.
IEEE Transactions on Cybernetics
|April 13, 2022
Summary
This study introduces a method to ensure total-activity conservation in Boolean networks (BNs) using algebraic state-space representation. This approach helps maintain biological network properties, even with perturbations and in large-scale switched Boolean networks (SBNs).
Area of Science:
- Systems Biology
- Computational Biology
- Network Theory
Background:
- Biological networks often exhibit conservation laws, such as total-activity conservation in Boolean networks (BNs).
- Understanding and ensuring these conserved properties is crucial for accurate biological system modeling.
Purpose of the Study:
- To analyze total-activity conservation in Boolean networks using the algebraic state-space representation (ASSR) approach.
- To develop methods for verifying and achieving total-activity conservation in BNs and switched Boolean networks (SBNs).
Main Methods:
- Definition of a total-activity-conservative matrix and a matrix-based criterion for verification.
- Investigation of robust total-activity conservation under function perturbation.
- Development of a constructive design procedure using pseudo-Boolean functions.
- Analysis of total-activity conservation in SBNs and network aggregation for large-scale systems.
Main Results:
- A matrix-based criterion is proposed to verify total-activity conservation in BNs.
- A constructive design procedure enables the achievement of total-activity conservation in Boolean dynamics.
- Total-activity conservation is demonstrated for SBNs under arbitrary switching signals, facilitating large-scale network analysis.
Conclusions:
- The ASSR approach provides a robust framework for analyzing and ensuring total-activity conservation in BNs.
- The proposed methods are applicable to both standard BNs and complex SBNs, including large-scale systems.
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