Optimal Control of Probabilistic Boolean Networks Using Integer Programming

• KOBAYASHI Koichi

  School of Information Science, Japan Advanced Institute of Science and Technology

• HIRAISHI Kunihiko

  School of Information Science, Japan Advanced Institute of Science and Technology

Bibliographic Information

Other Title

• 整数計画法を用いた確率ブーリアンネットワークの最適制御
• セイスウ ケイカクホウ オ モチイタ カクリツ ブーリアン ネットワーク ノ サイテキ セイギョ

Abstract

In this paper, the optimal control problem of probabilistic Boolean networks (PBNs) is discussed. A PBN is one of the significant models in biological networks. Although some control methods of PBNs have been proposed so far, it is necessary to compute the state transition diagram with 2ⁿ nodes for a given PBN with n states. To avoid this computation, an integer programming-based approach is proposed. In the proposed method, PBNs are transformed into a linear system with binary variables, and the optimal control problem is reduced to an integer linear programming problem, which can be computed relatively easier than the existing methods.

Journal

• Transactions of the Society of Instrument and Control Engineers

  Transactions of the Society of Instrument and Control Engineers 46 (11), 659-665, 2010

  The Society of Instrument and Control Engineers

Keywords

• systems biology
• probabilistic Boolean networks
• optimal control
• integer programming

Details

• CRID: 1390001204504461056
• NII Article ID: 10027445679
• NII Book ID: AN00072392
• DOI: 10.9746/sicetr.46.659
• ISSN: 18838189
• ISSN: 04534654
• NDL BIB ID: 10912185
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I10912185
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed