Skip to main content

KaDE: A Tool to Compile Kappa Rules into (Reduced) ODE Models

  • Conference paper
  • First Online:
Computational Methods in Systems Biology (CMSB 2017)

Part of the book series: Lecture Notes in Computer Science ((LNBI,volume 10545))

Included in the following conference series:

Abstract

Kappa is a formal language that can be used to model systems of biochemical interactions among proteins. It offers several semantics to describe the behaviour of Kappa models at different levels of abstraction. Each Kappa model is a set of context-free rewrite rules. One way to understand the semantics of a Kappa model is to read its rules as an implicit description of a (potentially infinite) reaction network. KaDE is interpreting this definition to compile Kappa models into reaction networks (or equivalently into sets of ordinary differential equations). KaDE uses a static analysis that identifies pairs of sites that are indistinguishable from the rules point of view, to infer backward and forward bisimulations, hence reducing the size of the underlying reaction networks without having to generate them explicitly. In this paper, we describe the main current functionalities of KaDE and we give some benchmarks on case studies.

This material is based upon works partially sponsored by the Defense Advanced Research Projects Agency (DARPA) and the U. S. Army Research Office under grant number W911NF-14-1-0367, and by the ITMO Plan Cancer 2014. The views, opinions, and/or findings contained in this article are those of the authors and should not be interpreted as representing the official views or policies, either expressed or implied, of DARPA, the U.S. Department of Defense, or ITMO.

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 EPUB and 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

References

  1. Danos, V., Laneve, C.: Formal molecular biology. TCS 325(1), 69–110 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  2. Feret, J.: Gkappa: a library to generate site graphs with graphviz. https://github.com/Kappa-Dev/GKappa

  3. Danos, V., Feret, J., Fontana, W., Krivine, J.: Scalable simulation of cellular signaling networks. In: Shao, Z. (ed.) APLAS 2007. LNCS, vol. 4807, pp. 139–157. Springer, Heidelberg (2007). doi:10.1007/978-3-540-76637-7_10

    Chapter  Google Scholar 

  4. Feret, J., Danos, V., Krivine, J., Harmer, R., Fontana, W.: Internal coarse-graining of molecular systems. PNAS 106, 6453–6458 (2009)

    Article  Google Scholar 

  5. Danos, V., Feret, J., Fontana, W., Harmer, R., Krivine, J.: Abstracting the differential semantics of rule-based models: exact and automated model reduction. In: Jouannaud, J.P. (ed.) Proceedings of LICS 2010, pp. 362–381. IEEE Computer Society (2010)

    Google Scholar 

  6. Boutillier, P., Feret, J., Krivine, J., Kim Lý, Q.: Kasim development homepage. http://dev.executableknowledge.org

  7. Monagan, M.B., Geddes, K.O., Heal, K.M., Labahn, G., Vorkoetter, S.M., McCarron, J., DeMarco, P.: Maple 10 Programming Guide. Maplesoft (2005)

    Google Scholar 

  8. Wolfram Research, Inc.: Mathematica (2017)

    Google Scholar 

  9. MATLAB version 9.2: The MathWorks Inc., Natick, Massachusetts (2017)

    Google Scholar 

  10. Eaton, J.W., Bateman, D., Hauberg, S., Wehbring, R.: GNU Octave Version 4.0.0 Manual: A High-Level Interactive Language for Numerical Computations. Free Software Foundation (2015)

    Google Scholar 

  11. Blinov, M., Faeder, J.R., Goldstein, B., Hlavacek, W.S.: Bionetgen: software for rule-based modeling of signal transduction based on the interactions of molecular domains. Bioinformatics 20(17), 3289–3291 (2004)

    Article  Google Scholar 

  12. Faeder, J.R., Blinov, M.L., Hlavacek, W.S.: Rule-based modeling of biochemical systems with bionetgen. Methods Mol. Biol. 500, 113–167 (2009)

    Article  Google Scholar 

  13. Hucka, M., Bergmann, F.T., Hoops, S., Keating, S.M., Sahle, S., Schaff, J.C., Smith, L.P., Wilkinson, D.J.: The systems biology markup language (sbml): language specification for level 3 version 1 core (2010)

    Google Scholar 

  14. Cardelli, L., Tribastone, M., Tschaikowski, M., Vandin, A.: ERODE: a tool for the evaluation and reduction of ordinary differential equations. In: Legay, A., Margaria, T. (eds.) TACAS 2017. LNCS, vol. 10206, pp. 310–328. Springer, Heidelberg (2017). doi:10.1007/978-3-662-54580-5_19

    Chapter  Google Scholar 

  15. Dräger, A., Planatscher, H., Wouamba, D.M., Schröder, A., Hucka, M., Endler, L., Golebiewski, M., Müller, W., Zell, A.: SBML2LaTeX: conversion of SBML files into human-readable reports. Bioinformatics 25(11), 1455–1456 (2009)

    Article  Google Scholar 

  16. Funahashi, A., Matsuoka, Y., Jouraku, A., Morohashi, M., Kikuchi, N., Kitano, H.: Celldesigner 3.5: A versatile modeling tool for biochemical networks. Proc. IEEE 96, 1254–1265 (2008)

    Article  Google Scholar 

  17. Boutillier, P., Ehrhard, T., Krivine, J.: Incremental update for graph rewriting. In: Yang, H. (ed.) ESOP 2017. LNCS, vol. 10201, pp. 201–228. Springer, Heidelberg (2017). doi:10.1007/978-3-662-54434-1_8

    Chapter  Google Scholar 

  18. Sneddon, M.W., Faeder, J.R., Emonet, T.: Efficient modeling, simulation and coarse-graining of biological complexity with nfsim. Nat. Meth. 8, 177–183 (2011)

    Article  Google Scholar 

  19. Camporesi, F., Feret, J.: Formal reduction for rule-based models. ENTCS 276, 29–59 (2011). Proc. MFPS XXVII

    MathSciNet  MATH  Google Scholar 

  20. Camporesi, F., Feret, J., Koeppl, H., Petrov, T.: Combining model reductions. ENTCS 265, 73–96 (2010). Proc. MFPS XXVI

    MathSciNet  MATH  Google Scholar 

  21. Feret, J.: An algebraic approach for inferring and using symmetries in rule-based models. ENTCS 316, 45–65 (2015). Proc. SASB 2014

    MATH  Google Scholar 

  22. Buchholz, P.: Bisimulation relations for weighted automata. Theor. Comput. Sci. 393(1–3), 109–123 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  23. Feret, J., Koeppl, H., Petrov, T.: Stochastic fragments: A framework for the exact reduction of the stochastic semantics of rule-based models. Int. J. Softw. Inform. 7(4), 527–604 (2013)

    Google Scholar 

  24. Buchholz, P.: Exact and ordinary lumpability in finite Markov chains. J. Appl. Probab. 31(1), 59–75 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  25. Camporesi, F., Feret, J., Lý, K.Q.: KaDE: a tool to compile kappa rules into (reduced) ode models: Supplementary information. http://www.di.ens.fr/~feret/CMSB2017-tool-paper/

  26. Petrov, T., Feret, J., Koeppl, H.: Reconstructing species-based dynamics from reduced stochastic rule-based models. In: Laroque, C., Himmelspach, J., Pasupathy, R., Rose, O., Uhrmacher, A.M. (eds.) Proceedings of WSC 2012, WSC (2012)

    Google Scholar 

  27. Oury, N., Pedersen, M., Petersen, R.L.: Canonical labelling of site graphs. In Petre, I. (ed.) Proceedings of CompMod 2013, EPTCS, vol. 116, pp. 13–28 (2013)

    Google Scholar 

  28. Cardelli, L., Tribastone, M., Tschaikowski, M., Vandin, A.: Forward and backward bisimulations for chemical reaction networks. In: Aceto, L., de Frutos-Escrig, D. (eds.) Proceedings of CONCUR 2015, vol. 42, pp. 226–239. LIPIcs., Schloss Dagstuhl (2015)

    Google Scholar 

  29. Cardelli, L., Tribastone, M., Tschaikowski, M., Vandin, A.: Efficient syntax-driven lumping of differential equations. In: Chechik, M., Raskin, J.-F. (eds.) TACAS 2016. LNCS, vol. 9636, pp. 93–111. Springer, Heidelberg (2016). doi:10.1007/978-3-662-49674-9_6

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jérôme Feret .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Cite this paper

Camporesi, F., Feret, J., Lý, K.Q. (2017). KaDE: A Tool to Compile Kappa Rules into (Reduced) ODE Models. In: Feret, J., Koeppl, H. (eds) Computational Methods in Systems Biology. CMSB 2017. Lecture Notes in Computer Science(), vol 10545. Springer, Cham. https://doi.org/10.1007/978-3-319-67471-1_18

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-67471-1_18

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-67470-4

  • Online ISBN: 978-3-319-67471-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics