Finding a Periodic Attractor of a Boolean Network
Finding a Periodic Attractor of a Boolean Network
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2012
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IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB) ; 9 (2012), 5. - pp. 1410-1421. - ISSN 1545-5963. - eISSN 1557-9964
Abstract
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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004 Computer Science
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Boolean network, periodic attractor, SAT, nested canalyzing function, treewidth
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AKUTSU, 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). 9(5), pp. 1410-1421. ISSN 1545-5963. eISSN 1557-9964BibTex
@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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