Skip to main content

Contribution of Computational Tree Logic to Biological Regulatory Networks: Example from Pseudomonas Aeruginosa

  • Conference paper
  • First Online:
Computational Methods in Systems Biology (CMSB 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2602))

Included in the following conference series:

Abstract

The Computational Tree Logic allows us to express some properties of genetic regulatory networks. These systems are studied using the feedback circuits evolved by René Thomas which constitute the semantic of our formal approach. We illustrate this formal language with the system of mucus production in pseudomonas aeruginosa, which is a mucoid bacteria that plays an important role in the cystic fibrosis. With the Thomas’ theory, we could wonder if the mucoid state could be a steady state alternative to the non-mucoid state.We would like to know whether it is possible to have a recurrent mucoid state. Model-checking allows us to prove that the formula which expresses this property is satisfied by certain models. Moreover, using this formal language we can propose scenarii for confronting the model to experimentation.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. G. Bernot, J. Guespin-Michel, A. Zemirline, J.-P. Comet, F. Delaplace, P. Ballet, and P. Amar. Modelling, observability and experiment: a case study, positive feedback loop in a genetic regulatory network. Research report, LaMI, Univ. Evry, France, 2002. 47

    Google Scholar 

  2. E. M. Clarke and E. A. Emerson. Design and syntheses of synchronization skeletons using branching time temporal logic. In Proc. Logics of Programs Workshop, Yorktown Heights, New York, volume 131 of LNCS, pages 52–71. Springer, May 1981. 50

    Google Scholar 

  3. E. A. Emerson. Handbook of theoretical computer science, Volume B: formal models and semantics, chapter Temporal and modal logic, pages 995–1072. MIT Press, 1990. 50

    MathSciNet  Google Scholar 

  4. E. A. Emerson and J. Y. Halpern. Decision procedures and expressiveness in the temporal logic of branching time. In Proceedings of the Fourteenth Annual ACM Symposium on Theory of Computing, San Francisco, California, pages 169-180, 5–7 May 1982. 50

    Google Scholar 

  5. J. Guespin-Michel and M. Kaufman. Positive feedback circuits and adaptive regulation in bacteria. Acta Biotheoretica, 49, 2001. 48, 51, 55

    Google Scholar 

  6. M. Huth and M. Ryan. Logic in Computer Science: Modelling and reasoning about systems. Cambridge University Press, 2000. 47, 50, 55

    Google Scholar 

  7. E. H. Snoussi and R. Thomas. Logical identification of all steady states: the concept of feedback loop characteristic states. Bulletin of Mathematical Biology, 1993. 48, 49

    Google Scholar 

  8. R. Thomas and M. Kaufman. Multistationarity, the basis of cell differentiation and memory. i structural conditions of multistationarity and other nontrivial behavior. Chaos, 2001. 51

    Google Scholar 

  9. R. Thomas and D. Thieffry. Dynamical behaviours of regulatory networks-II. immunity control in bactériophage lambda. Bulletin of Mathematical Biology, 57(2):277–297, 1995. 48, 49, 51

    MATH  Google Scholar 

  10. R. Thomas, D. Thieffry, and M. Kaufman. Dynamical behaviours of regulatory networks-I. biological role of feedback loops and pratical use of the concept of feedback loop. Bulletin of Mathematical Biology, 57(2):247–276, 1995. 48, 51

    MATH  Google Scholar 

  11. L. Mendoza, D. Thieffry, and E. R. Alvarez-Buylla. Genetic control of flower morphogenesis in arabidopsis thaliana: a logical analysis. Bioinformatics, 15(7/8):593–606, 1999. 50

    Article  Google Scholar 

  12. L. Sanchez and D. Thieffry. A logical analysis of the drosophila gap-gene system. J. Theor. Biol., 211:115–141, 2001. 50

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Peres, S., Jean-Paul, C. (2003). Contribution of Computational Tree Logic to Biological Regulatory Networks: Example from Pseudomonas Aeruginosa. In: Priami, C. (eds) Computational Methods in Systems Biology. CMSB 2003. Lecture Notes in Computer Science, vol 2602. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36481-1_5

Download citation

  • DOI: https://doi.org/10.1007/3-540-36481-1_5

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-00605-3

  • Online ISBN: 978-3-540-36481-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics