Input-state approach to Boolean networks.

Full Abstract

This paper investigates the structure of Boolean networks via input-state structure. Using the algebraic form proposed by the author, the logic-based input-state dynamics of Boolean networks, called the Boolean control networks, is converted into an algebraic discrete-time dynamic system. Then the structure of cycles of Boolean control systems is obtained as compounded cycles. Using the obtained input-state description, the structure of Boolean networks is investigated, and their attractors are revealed as nested compounded cycles, called rolling gears. This structure explains why small cycles mainly decide the behaviors of cellular networks. Some illustrative examples are presented.

Author information

Author/s: Cheng, Daizhan (D);

Affiliation: Institute of Systems Science, Chinese Academy of Sciences, Beijing 100190, China. dcheng(-atsign-)iss.ac.cn

Journal and publication information

Publication Type: Journal Article; Research Support, Non-U.S. Gov't

Journal: IEEE transactions on neural networks / a publication of the IEEE Neural Networks Council (IEEE Trans Neural Netw), published in United States. (Language: eng)

Reference: 2009-Mar; vol 20 (issue 3) : pp 512-21

Dates: Created 2009/02/26; Completed 2009/05/18; Revised 2009/10/28;

PMID: 19224735, status: MEDLINE (last retrieval date: 10/28/2009, IMS Date: )

Sourced from the National Library of Medicine. Abstract text and other information may be subject to copyright.

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Associated Chemicals: Proteins (0)

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