Modeling Biological Systems in Stochastic Concurrent Constraint Programming

We present an application of stochastic Concurrent Constraint Programming (sCCP) for modeling biological systems. We provide a library of sCCP processes that can be used to describe straightforwardly biological networks. In the meanwhile, we show that sCCP proves to be a general and extensible frame...

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Published in:Constraints : an international journal Vol. 13; no. 1-2; pp. 66 - 90
Main Authors: Bortolussi, Luca, Policriti, Alberto
Format: Journal Article
Language:English
Published: Boston Springer US 01.06.2008
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ISSN:1383-7133, 1572-9354
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Abstract We present an application of stochastic Concurrent Constraint Programming (sCCP) for modeling biological systems. We provide a library of sCCP processes that can be used to describe straightforwardly biological networks. In the meanwhile, we show that sCCP proves to be a general and extensible framework, allowing to describe a wide class of dynamical behaviours and kinetic laws.
AbstractList We present an application of stochastic Concurrent Constraint Programming (sCCP) for modeling biological systems. We provide a library of sCCP processes that can be used to describe straightforwardly biological networks. In the meanwhile, we show that sCCP proves to be a general and extensible framework, allowing to describe a wide class of dynamical behaviours and kinetic laws.
Author Bortolussi, Luca
Policriti, Alberto
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  givenname: Alberto
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  organization: Department of Mathematics and Computer Science, University of Udine
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References_xml – reference: PriamiC.RegevA.ShapiroE.Y.SilvermanW.Application of a stochastic name-passing calculus to representation and simulation of molecular processesInformation Processing Letters200180125310997.9201810.1016/S0020-0190(01)00214-91859381
– reference: RegevA.ShapiroE.Cellular abstractions: Cells as computationNature200241934310.1038/419343a
– reference: CalzoneL.FagesF.SolimanS.Biocham: an environment for modeling biological systems and formalizing experimental knowledgeBioinformatics2006221805180710.1093/bioinformatics/btl172
– reference: Gutiérrez, J., Perez, J. A., Rueda, C., & Valencia, F. D. (2006). Timed concurrent constraint programming for analyzing biological systems. In Proceedings of MeCBIC’06.
– reference: Cornish-Bowden, A. (2004). Fundamentals of chemical kinetics, 3rd edn. Portland Press.
– reference: Saraswat, V. A. (1993). Concurrent constraint programming. MIT press.
– reference: de Boer, F. S., Di Pierro, A., & Palamidessi, C. (1995). Nondeterminism and infinite computations in constraint programming. Theoretical Computer Science, 151(1).
– reference: Swedish Institute for Computer Science (2007). Sicstus prolog home page. Swedish Institute for Computer Science
– reference: GillespieD. T.A rigorous derivation of the chemical master equationPhysica A199222403432503370
– reference: Kitano, H. (2001). Foundations of systems biology. MIT Press.
– reference: Bortolussi, L. (2007). Constraint-based approaches to stochastic dynamics of biological systems. Ph.D. thesis, Ph.D. in Computer Science, University of Udine, http://www.dmi.units.it/~bortolu/files/reps/Bortolussi-PhDThesis.pdf.
– reference: Bortolussi, L., & Policriti, A. (2006a). Modeling biological systems in concurrent constraint programming. In Dovier, A., dal Palù, A., Will, S., (Eds.), Proceedings of second international workshop on constraint-based methods in bioinformatics, WCB 2006 (pp. 6–29). Nantes.
– reference: GillespieD. T.Exact stochastic simulation of coupled chemical reactionsJournal of Physical Chemistry197781252340236110.1021/j100540a008
– reference: Saraswat, V. A., Rinard, M., & Panangaden, P. (1991). Semantics foundations of concurrent constraint programming. In Proceedings of POPL.
– reference: PriamiC.Stochastic π-calculusComputer Journal199538657858910.1093/comjnl/38.7.578
– reference: VilarJ. M. G.Yuan KuehH.BarkaiN.LeiblerS.Mechanisms of noise resistance in genetic oscillatorsProceedings of the National Academy of Sciences of the United States of America2002999599110.1073/pnas.092133899
– reference: Wilkinson, D. J. (2006). Stochastic modelling for systems biology. Chapman & Hall.
– reference: KohnK. W.Molecular interaction map of the mammalian cell cycle control and dna repair systemsMolecular Biology of the Cell19991027032734
– reference: Bortolussi, L., Fonda, S., & Policriti, A. (2007). Constraint-based simulation of biological systems described by molecular interaction maps. In Backofen, R., dal Palù, A., S. Will (Eds.), Proceeding of third international workshop on constraint-based methods in bioinformatics, WCB 2007 (pp. 1–9). Porto.
– reference: Henkin, L., Monk, J. D., & Tarski, A. (1971). Cylindric algebras, Part I. North-Holland.
– reference: Hillston, J. (2005). Fluid flow approximation of pepa models. In Proceedings of the second international conference on the quantitative evaluation of systems (QEST05).
– reference: ElowitzM. B.LeiblerS.A synthetic oscillatory network of transcriptional regulatorsNature200040333533810.1038/35002125
– reference: GillespieD.The chemical langevin equationJournal of Chemical Physics2000113129730610.1063/1.481811
– reference: Bower, J. M., & Bolouri, H. (Eds.) (2000). Computational modeling of genetic and biochemical networks. MIT Press.
– reference: Cardelli, L., & Phillips, A. (2004). A correct abstract machine for the stochastic pi-calculus. In Proceeding of Bioconcur 2004.
– reference: Bortolussi, L., & Policriti, A. (2006b). Relating stochastic process algebras and differential equations for biological modeling. In Proceedings of PASTA 2006. Imperial College Press.
– reference: Edelstein-Keshet, L. (2005). Mathematical models in biology. SIAM.
– reference: BlosseyR.CardelliL.PhillipsA.A compositional approach to the stochastic dynamics of gene networksTransaction Computer System Biology200639399912210.1007/11732488_102298401
– reference: Norris, J. R. (1997). Markov Chains. Cambridge University Press.
– reference: HuangC. F.FerrellJ. T.Ultrasensitivity in the mitogen-activated protein kinase cascadePNAS, Biochemistry1996151100781008310.1073/pnas.93.19.10078
– reference: GillespieD. T.A general method for numerically simulating the stochastic time evolution of coupled chemical reactionsJournal of Computers in Physics19762240343410.1016/0021-9991(76)90041-3503370
– reference: RaoC. V.ArkinA. P.Stochastic chemical kinetics and the quasi-steady state assumption: Application to the gillespie algorithmJournal Chemical Physics2003118114999501010.1063/1.1545446
– reference: CardelliL.Abstract machines of systems biologyTransactions on Computational Systems Biology, III, LNBI2005373714516810.1007/11599128_10
– reference: PriamiC.QuagliaP.Modelling the dynamics of biosystemsBriefings in Bioinformatics20045325926910.1093/bib/5.3.259
– reference: Alur, R., Belta, C., Ivancic, F., Kumar, V., Mintz, M., Pappas, G., et al. (2001). Hybrid modeling and simulation of biomolecular networks. In Proceedings of fourth international workshop on hybrid systems: Computation and control, LNCS 2034 (pp. 19–32).
– reference: ShapiroB. E.LevchenkoA.MeyerowitzE. M.WoldB. J.MjolsnessE. D.Cellerator: Extending a computer algebra system to include biochemical arrows for signal transduction simulationsBioinformatics200319567767810.1093/bioinformatics/btg042
– reference: Bortolussi, L. (2006). Stochastic concurrent constraint programming. In Proceedings of 4th international workshop on quantitative aspects of programming languages, QAPL 2006, ENTCS (Vol. 164, pp. 65–80).
– reference: Gillespie, D., & Petzold, L. (2006). System modelling in cellular biology. Chapter Numerical Simulation for Biochemical Kinetics. MIT Press.
– reference: De JongH.Modeling and simulation of genetic regulatory systems: A literature reviewJournal of Computational Biology2002916710310.1089/10665270252833208
– reference: Voit, E. O. (2000). Computational analysis of biochemical systems. Cambridge University Press.
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Snippet We present an application of stochastic Concurrent Constraint Programming (sCCP) for modeling biological systems. We provide a library of sCCP processes that...
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SubjectTerms Artificial Intelligence
Computer Science
Operations Research/Decision Theory
Optimization
Title Modeling Biological Systems in Stochastic Concurrent Constraint Programming
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