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Finding a Periodic Attractor of a Boolean Network

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2012

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Akutsu, Tatsuya
Melkman, Avraham A.
Tamura, Takeyuki

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IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB). 2012, 9(5), pp. 1410-1421. ISSN 1545-5963. eISSN 1557-9964

Zusammenfassung

In this paper, we study the problem of finding a periodic attractor of a Boolean network (BN), which arises in computational systems biology and is known to be NP-hard. Since a general case is quite hard to solve, we consider special but biologically important subclasses of BNs. For finding an attractor of period 2 of a BN consisting of $n$ OR functions of positive literals, we present a polynomial time algorithm. For finding an attractor of period 2 of a BN consisting of $n$ AND/OR functions of literals, we present an $O(1.985^n)$ time algorithm. For finding an attractor of a fixed period of a BN consisting of $n$ nested canalyzing functions and having constant treewidth $w$ , we present an $O(n^{2p(w+1)} poly(n))$ time algorithm.

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Boolean network, periodic attractor, SAT, nested canalyzing function, treewidth

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ISO 690AKUTSU, Tatsuya, Sven KOSUB, Avraham A. MELKMAN, Takeyuki TAMURA, 2012. Finding a Periodic Attractor of a Boolean Network. In: IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB). 2012, 9(5), pp. 1410-1421. ISSN 1545-5963. eISSN 1557-9964
BibTex
@article{Akutsu2012Findi-44543,
  year={2012},
  title={Finding a Periodic Attractor of a Boolean Network},
  url={https://www.computer.org/csdl/trans/tb/2012/05/ttb2012051410.html},
  number={5},
  volume={9},
  issn={1545-5963},
  journal={IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)},
  pages={1410--1421},
  author={Akutsu, Tatsuya and Kosub, Sven and Melkman, Avraham A. and Tamura, Takeyuki}
}
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https://www.computer.org/csdl/trans/tb/2012/05/ttb2012051410.html

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