Skip to main content

The Calculus of Looping Sequences for Modeling Biological Membranes

  • Conference paper
Membrane Computing (WMC 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4860))

Included in the following conference series:

Abstract

We survey the formalism Calculus of Looping Sequences (CLS) and a number of its variants from the point of view of their use for describing biological membranes. The CLS formalism is based on term rewriting and allows describing biomolecular systems. A first variant of CLS, called Stochastic CLS, extends the formalism with stochastic time, another variant, called LCLS (CLS with links), allows describing proteins interaction at the domain level. A third variant is introduced for easier description of biological membranes. This extension can be encoded into CLS as well as other formalisms capable of membrane description such as Brane Calculi and P Systems. Such encodings allow verifying and simulating descriptions in Brane Calculi and P Systems by means of verifiers and simulators developed for CLS.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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. Alur, R., Belta, C., Ivancic, F., Kumar, V., Mintz, M., Pappas, G.J., Rubin, H., Schug, J.: Hybrid Modeling and Simulation of Biomolecular Networks. In: Di Benedetto, M.D., Sangiovanni-Vincentelli, A.L. (eds.) HSCC 2001. LNCS, vol. 2034, pp. 19–32. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  2. Barbuti, R., Cataudella, S., Maggiolo-Schettini, A., Milazzo, P., Troina, A.: A Probabilistic Model for Molecular Systems. Fundamenta Informaticae 67, 13–27 (2005)

    MATH  Google Scholar 

  3. Barbuti, R., Maggiolo-Schettini, A., Milazzo, P., Troina, A.: A Calculus of Looping Sequences for Modelling Microbiological Systems. Fundamenta Informaticae 72, 21–35 (2006)

    MATH  MathSciNet  Google Scholar 

  4. Barbuti, R., Maggiolo-Schettini, A., Milazzo, P., Troina, A.: Bisimulation Congruences in the Calculus of Looping Sequences. In: Barkaoui, K., Cavalcanti, A., Cerone, A. (eds.) ICTAC 2006. LNCS, vol. 4281, pp. 93–107. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  5. Barbuti, R., Maggiolo-Schettini, A., Milazzo, P.: Extending the Calculus of Looping Sequences to Model Protein Interaction at the Domain Level. In: Mandoiu, I., Zelikovsky, A. (eds.) ISBRA 2007. LNCS (LNBI), vol. 4463, pp. 638–649. Springer, Heidelberg (2007)

    Google Scholar 

  6. Barbuti, R., Maggiolo-Schettini, A., Milazzo, P., Tiberi, P., Troina, A.: Stochastic CLS for the Modeling and Simulation of Biological Systems (submitted for publication), draft available at: http://www.di.unipi.it/~milazzo/

  7. Cardelli, L.: Brane Calculi. Interactions of Biological Membranes. In: Danos, V., Schachter, V. (eds.) CMSB 2004. LNCS (LNBI), vol. 3082, pp. 257–280. Springer, Heidelberg (2005)

    Google Scholar 

  8. Chabrier-Rivier, N., Chiaverini, M., Danos, V., Fages, F., Schachter, V.: Modeling and Querying Biomolecular Interaction Networks. Theoretical Computer Science 325(1), 25–44 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  9. Curti, M., Degano, P., Priami, C., Baldari, C.T.: Modelling Biochemical Pathways through Enhanced pi-calculus. Theoretical Computer Science 325, 111–140 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  10. Dang, Z., Ibarra, O.H.: On P Systems Operating in Sequential and Limited Parallel Modes. In: Workshop on Descriptional Complexity of Formal Systems, pp. 164–177 (2004)

    Google Scholar 

  11. Danos, V., Laneve, C.: Formal Molecular Biology. Theoretical Computer Science 325, 69–110 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  12. Gillespie, D.: Exact Stochastic Simulation of Coupled Chemical Reactions. Journal of Physical Chemistry 81, 2340–2361 (1977)

    Article  Google Scholar 

  13. Kwiatkowska, M., Norman, G., Parker, D.: Probabilistic Symbolic Model Checking with PRISM: a Hybrid Approach. Int. Journal on Software Tools for Technology Transfer 6, 128–142 (2004)

    Google Scholar 

  14. Laneve, C., Tarissan, F.: A Simple Calculus for Proteins and Cells. In: MeCBIC 2006. Workshop on Membrane Computing and Biological Inspired Process Calculi (to appear in ENTCS)

    Google Scholar 

  15. Milazzo, P.: Qualitative and Quantitative Formal Modeling of Biological Systems. PhD Thesis, Università di Pisa (2007)

    Google Scholar 

  16. Matsuno, H., Doi, A., Nagasaki, M., Miyano, S.: Hybrid Petri Net Representation of Gene Regulatory Network. In: Pacific Symposium on Biocomputing, pp. 341–352. World Scientific Press, Singapore (2000)

    Google Scholar 

  17. Pǎun, G.: Computing with Membranes. Journal of Computer and System Sciences 61, 108–143 (2000)

    Article  MathSciNet  Google Scholar 

  18. Pǎun, G.: Membrane Computing. An Introduction. Springer, Heidelberg (2002)

    Google Scholar 

  19. Pérez–Jiménez, M.J., Romero–Campero, F.J.: A Study of the Robustness of the EGFR Signalling Cascade Using Continuous Membrane Systems. In: Mira, J.M., Álvarez, J.R. (eds.) IWINAC 2005. LNCS, vol. 3561, pp. 268–278. Springer, Heidelberg (2005)

    Google Scholar 

  20. Priami, C.: Stochastic π–Calculus. The Computer Journal 38, 578–589 (1995)

    Article  Google Scholar 

  21. Priami, C., Quaglia, P.: Beta Binders for Biological Interactions. In: Danos, V., Schachter, V. (eds.) CMSB 2004. LNCS (LNBI), vol. 3082, pp. 20–33. Springer, Heidelberg (2005)

    Google Scholar 

  22. Priami, C., Regev, A., Silvermann, W., Shapiro, E.: Application of a Stochastic Name–Passing Calculus to Representation and Simulation of Molecular Processes. Information Processing Letters 80, 25–31 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  23. Regev, A., Panina, E.M., Silverman, W., Cardelli, L., Shapiro, E.: BioAmbients: An Abstraction for Biological Compartments. Theoretical Computer Science 325, 141–167 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  24. Regev, A., Shapiro, E.: The π–Calculus as an Abstraction for Biomolecular Systems. In: Modelling in Molecular Biology. Natural Computing Series, pp. 219–266. Springer, Heidelberg (2004)

    Google Scholar 

  25. Regev, A., Silverman, W., Shapiro, E.Y.: Representation and Simulation of Biochemical Processes Using the pi-calculus Process Algebra. In: Pacific Symposium on Biocomputing, pp. 459–470. World Scientific Press, Singapore (2001)

    Google Scholar 

  26. Wiley, H.S., Shvartsman, S.Y., Lauffenburger, D.A.: Computational Modeling of the EGF–Receptor System: a Paradigm for Systems Biology. Trends in Cell Biology 13, 43–50 (2003)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

George Eleftherakis Petros Kefalas Gheorghe Păun Grzegorz Rozenberg Arto Salomaa

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Barbuti, R., Maggiolo–Schettini, A., Milazzo, P., Troina, A. (2007). The Calculus of Looping Sequences for Modeling Biological Membranes. In: Eleftherakis, G., Kefalas, P., Păun, G., Rozenberg, G., Salomaa, A. (eds) Membrane Computing. WMC 2007. Lecture Notes in Computer Science, vol 4860. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77312-2_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-77312-2_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-77311-5

  • Online ISBN: 978-3-540-77312-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics