Abstract
We investigate the problem of finding optimal one-bit perturbation that maximizes the size of the basin of attractions (BOAs) of desired attractors and minimizes the size of the BOAs of undesired attractors for large-scale Boolean networks by cascading aggregation. First, via the aggregation, a necessary and sufficient condition is given to ensure the invariance of desired attractors after one-bit perturbation. Second, an algorithm is proposed to identify whether the one-bit perturbation will cause the emergence of new attractors or not. Next, the change of the size of BOAs after one-bit perturbation is provided in an algorithm. Finally, the efficiency of the proposed method is verified by a T-cell receptor network.
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Jin-feng PAN designed the research, processed the data, and drafted the manuscript. Min MENG helped organize the manuscript. Jin-feng PAN revised and finalized the manuscript.
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Jin-feng PAN and Min MENG declare that they have no conflict of interest.
Project supported by the National Natural Science Foundation of China (No. 61773371)
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Pan, Jf., Meng, M. Optimal one-bit perturbation in Boolean networks based on cascading aggregation. Front Inform Technol Electron Eng 21, 294–303 (2020). https://doi.org/10.1631/FITEE.1900411
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DOI: https://doi.org/10.1631/FITEE.1900411