基于级联聚合算法下的布尔网络最优单点摄动

潘金凤; 孟敏

doi:10.1631/FITEE.1900411

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基于级联聚合算法下的布尔网络最优单点摄动

复杂系统和网络及其应用专辑 | Updated：2022-05-19

- 基于级联聚合算法下的布尔网络最优单点摄动
- Optimal one-bit perturbation in Boolean networks based on cascading aggregation
- 信息与电子工程前沿（英文） 2020年21卷第2期页码：294-303
- Affiliations：
  
  School of Mathematics and Information Sciences, Weifang University, Weifang 261061, China
  School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798, Singapore
- Author bio：
  
  Jin-feng PAN, E-mail: panjinfeng1989@163.com
  [ "Min MENG, E-mail: mengminmath@gmail.com" ]
- Funds：
  
  Project supported by the National Natural Science Foundation of China (No. 61773371)
- DOI：10.1631/FITEE.1900411
  中图分类号： O223
- 收稿：2019-08-17，
  
  修回：2019-11-15，
  
  纸质出版：2020-02
- Accepted：
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潘金凤, 孟敏. 基于级联聚合算法下的布尔网络最优单点摄动[J]. 信息与电子工程前沿（英文）, 2020,21(2):294-303.

PAN Jin-feng, MENG Min. Optimal one-bit perturbation in Boolean networks based on cascading aggregation[J]. Frontiers of Information Technology & Electronic Engineering, 2020, 21(2): 294-303.
潘金凤, 孟敏. 基于级联聚合算法下的布尔网络最优单点摄动[J]. 信息与电子工程前沿（英文）, 2020,21(2):294-303. DOI： 10.1631/FITEE.1900411.

PAN Jin-feng, MENG Min. Optimal one-bit perturbation in Boolean networks based on cascading aggregation[J]. Frontiers of Information Technology & Electronic Engineering, 2020, 21(2): 294-303. DOI： 10.1631/FITEE.1900411.

摘要

研究级联聚合算法分割下的大型布尔网络最优单点摄动问题；最大化期望吸引子吸引域，同时最小化非期望吸引子吸引域。首先，通过级联聚合算法给出一个在单点摄动下保持期望吸引子不变的充要条件。其次，提出一个判定是否出现新吸引子的算法。然后，提出另一算法给出单点摄动下吸引子吸引域的大小变化。最后，将本文理论应用于寻找T细胞受体网络的最优单点摄动问题。

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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references

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