ACRI 2008: Cellular Automata pp 100-107 | Cite as

Stabilizing and Destabilizing Effects of Embedding 3-Node Subgraphs on the State Space of Boolean Networks

  • Chikoo Oosawa
  • Michael A. Savageau
  • Abdul S. Jarrah
  • Reinhard C. Laubenbacher
  • Eduardo D. Sontag
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5191)

Abstract

We demonstrate the effects of embedding subgraphs in a Boolean network, which is one of the discrete dynamic models for transcriptional regulatory networks. After comparing the dynamic properties of networks embedded with seven different subgraphs including feedback and feedforward subgraphs, we found that complexity of the state space increases with longer lengths of attractors, and the number of attractors is reduced for networks with more feedforward subgraphs. In addition, feedforward subgraphs can provide higher mutual information with lower entropy in a temporal program of gene expression. Networks with the other six subgraphs show opposite effects on network dynamics. This is roughly consistent with Thomas’s conjecture. These results suggest that feedforward subgraph is favorable local structure in complex biological networks.

Keywords

Boolean networks subgraph feedback feedforward mutual information entropy transcriptional regulatory networks Thomas’s conjecture 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Chikoo Oosawa
    • 1
  • Michael A. Savageau
    • 2
  • Abdul S. Jarrah
    • 3
  • Reinhard C. Laubenbacher
    • 3
  • Eduardo D. Sontag
    • 4
  1. 1.Department of Bioscience and BioinformaticsKyushu Institute of TechnologyFukuokaJapan
  2. 2.Department of Biomedical EngineeringUniversity of CaliforniaDavisUSA
  3. 3.Virginia Bioinformatics Institute, Department of MathematicsVirginia Polytechnic Institute and State UniversityVirginiaUSA
  4. 4.Department of Mathematics, RutgersThe State University of New JerseyNew JerseyUSA

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