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Deducing Interactions in Partially Unspecified Biological Systems

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Algebraic Biology (AB 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4545))

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Abstract

We show how a symbolic approach to the semantics of process algebras can be fruitfully applied to the modeling and analysis of partially unspecified biological systems, i.e., systems whose components are not fully known, cannot be described entirely, or whose functioning is not completely understood. This adds a novel deductive perspective to the use of process algebras within systems biology: the investigation of the behavioural or structural properties that unspecified components must satisfy to interact within the system. These can be computationally inferred, extending the effectiveness of the in silico experiments. The use of the approach is illustrated by means of case studies.

This work has been partially supported by the MIUR project Bisca.

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References

  • Alberts, B., Bray, D., Lewis, J., Raff, M., Roberts, K., Watson, J.D.: Molecular Biology of the Cell. Garland (1994)

    Google Scholar 

  • Baldan, P., Bracciali, A., Bruni, R.: Bisimulation by unification. In: Kirchner, H., Ringeissen, C. (eds.) AMAST 2002. LNCS, vol. 2422, pp. 254–270. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  • Baldan, P., Bracciali, A., Bruni, R.: Symbolic equivalences for open systems. In: Priami, C., Quaglia, P. (eds.) GC 2004. LNCS, vol. 3267, pp. 1–17. Springer, Heidelberg (2005)

    Google Scholar 

  • Calder, M., Hilston, J., Gilmore, S.: Modelling the influence of RKIP on the ERK signalling pathway using the stochastic process algebra PEPA. In: Priami, C., Ingólfsdóttir, A., Mishra, B., Nielson, H.R. (eds.) Transactions on Computational Systems Biology VII. LNCS (LNBI), vol. 4230, pp. 1–23. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  • Calder, M., Vyshemirsky, V., Gilbert, D., Orton, R.: Analysis of signalling pathways using the PRISM model checker. In: Priami, C., Plotkin, G. (eds.) Transactions on Computational Systems Biology VI. LNCS (LNBI), vol. 4220, pp. 179–190. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  • Calzone, L., Chabrier-Rivier, N., Fages, F., Soliman, S.: Machine learning biochemical networks from temporal logic properties. In: Priami, C., Plotkin, G. (eds.) Transactions on Computational Systems Biology VI. LNCS (LNBI), vol. 4220, pp. 68–94. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  • 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 

  • Cardelli, L., Gordon, A.: Mobile ambients. Th. Comp. Sci. 240(1), 177–213 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  • Cardelli, L., Gordon, A.: Anytime, anywhere. Modal logics for mobile ambients. In: Proc. POPL 2000, pp. 365–377. ACM, New York (2000)

    Google Scholar 

  • Chiarugi, D., Curti, M., Degano, P., Marangoni, R.: VICE: A VIrtual CEll. In: Danos, V., Schachter, V. (eds.) CMSB 2004. LNCS (LNBI), vol. 3082, pp. 207–220. Springer, Heidelberg (2005)

    Google Scholar 

  • Danos, V., Laneve, C.: Formal molecular biology. Th. Comp. Sci. 325(1), 69–110 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  • Degano, P., Prandi, D., Priami, C., Quaglia, P.: Beta-binders for biological quantitative experiments. In: Proc. QAPL 2006. ENTCS, vol. 164(3), pp. 101–117. Elsevier, North-Holland (2006)

    Google Scholar 

  • Eker, S., Knapp, M., Laderoute, K., Lincoln, P., Meseguer, J., Sonmez, K.: Pathway Logic: Symbolic analysis of biological signaling. In: Proc. Pacific Symp. on Biocomputing, pp. 400–412 (2002)

    Google Scholar 

  • Eker, S., Knapp, M., Laderoute, K., Lincoln, P., Talcott, C.: Pathway Logic: Executable models of biological networks. In: Proc. Rewriting Logic and its Applications. ENCS, vol. 71 (2002)

    Google Scholar 

  • Gadducci, F., Montanari, U.: The Tile Model. In: Proof, Language and Interaction: Essays in Honour of Robin Milner, pp. 133–166. MIT Press, Cambridge (1998)

    Google Scholar 

  • Gillespie, D.T.: Exact stochastic simulation of coupled chemical reactions. J. of Physical Chemistry 81(25), 2340–2361 (1977)

    Article  Google Scholar 

  • Gutnik, B., Pinto, D., Ermentrout, B.: Mathematical neuroscience: from neurons to circuits to systems. J. of Physiology 97, 209–219 (2003)

    Google Scholar 

  • Haller, O., Kochs, G.: Interferon-induced Mx proteins: Dynamin-like GTPases with antiviral activity. Traffic 3, 710–717 (2002)

    Article  Google Scholar 

  • Hennessy, M., Lin, H.: Symbolic bisimulations. Th. Comp. Sci. 138, 353–389 (1995)

    Article  MATH  MathSciNet  Google Scholar 

  • de Jong, H.: Modeling and simulation of genetic regulatory systems: a literature review. J. of Comp. Biology 9(1), 67–103 (2002)

    Article  Google Scholar 

  • Kitano, H.: Systems Biology: a brief overview. Science 295(5560), 1662–1664 (2002)

    Article  Google Scholar 

  • Lecca, P., Priami, C., Quaglia, P., Rossi, B., Laudanna, C., Costantin, G.: A stochastic process algebra approach to simulation of autoreactive lymphocyte recruitment. SIMULATION 80(4), 273–288 (2004)

    Article  Google Scholar 

  • Leifer, J., Milner, R.: Deriving bisimulation congruences for reactive systems. In: Palamidessi, C. (ed.) CONCUR 2000. LNCS, vol. 1877, pp. 243–258. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  • Miculan, M., Bacci, G.: Modal logics for Brane Calculus. In: Priami, C. (ed.) CMSB 2006. LNCS (LNBI), vol. 4210, pp. 1–16. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  • Nagasaki, M., Onami, S., Miyano, S., Kitano, H.: Bio-calculus: its concept and molecular interaction. Genome Informatics 10, 133–143 (1999)

    Google Scholar 

  • Phillips, A., Cardelli, L.: A correct abstract machine for the stochastic pi-calculus. In: Proc. Bioconcur 2004 (2004)

    Google Scholar 

  • Priami, C.: Stochastic π-calculus. The Computer Journal 38(6), 578–589 (1995)

    Article  Google Scholar 

  • Priami, C., Quaglia, P.: Beta-binders for biological interactions. In: Danos, V., Schachter, V. (eds.) CMSB 2004. LNCS (LNBI), vol. 3082, pp. 21–34. Springer, Heidelberg (2005)

    Google Scholar 

  • Priami, C., Regev, A., Shapiro, E., Silvermann, W.: 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 

  • Regev, A., Panina, E., Silverman, W., Cardelli, L., Shapiro, E.: Bioambients: An abstraction for biological compartements. Th. Comp. Sci. 325(1), 141–167 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  • Regev, A., Shapiro, E.: Cellular Abstractions: Cells as Computation. Nature 419, 343 (2002)

    Article  Google Scholar 

  • Regev, A., Silverman, W., Shapiro, E.: Representation and simulation of biochemical processes using the π-calculus process algebra. In: Proc. Pacific Symp. on Biocomputing, pp. 459–470 (2001)

    Google Scholar 

  • Rensink, A.: Bisimilarity of open terms. Inform. and Comput. 156(1-2), 345–385 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  • Surridge, C.: Computational biology. Nature Insight 420(6912), 206–246 (2002)

    Google Scholar 

  • Talcott, C., Eker, S., Knapp, M., Lincoln, P., Laderoute, K.: Pathway logic modeling of protein functional domains in signal transduction. In: Proc. Pacific Symp. on Biocomputing (2004)

    Google Scholar 

  • Yang, P., Ramakrishnan, C., Smolka, S.: A logical encoding of the pi-calculus: Model checking mobile processes using tabled resolution. In: Zuck, L.D., Attie, P.C., Cortesi, A., Mukhopadhyay, S. (eds.) VMCAI 2003. LNCS, vol. 2575, pp. 86–101. Springer, Heidelberg (2002)

    Google Scholar 

  • Winnacker, E.L.: From Genes to Clones, VCH Publishers (1987)

    Google Scholar 

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Hirokazu Anai Katsuhisa Horimoto Temur Kutsia

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Baldan, P., Bracciali, A., Brodo, L., Bruni, R. (2007). Deducing Interactions in Partially Unspecified Biological Systems. In: Anai, H., Horimoto, K., Kutsia, T. (eds) Algebraic Biology. AB 2007. Lecture Notes in Computer Science, vol 4545. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73433-8_19

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  • DOI: https://doi.org/10.1007/978-3-540-73433-8_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-73432-1

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