Abstract
Biochemical processes, carried out by networks of proteins, underlies the major functions of living cells ([8, 60]). Although such systems are the focus of intensive experimental research, the mountains of knowledge about the function, activity, and interaction of molecular systems in cells remain fragmented. While computational methods are key to addressing this challenge ([8, 60]), they require the adoption of a meaningful mathematical abstraction [50s]. The research of biomolecular systems has yet to identify and adopt such a unifying abstraction.
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T. Akutsu, S. Miyano, and S. Kuhara. Algorithms for identifying boolean networks and related biological networks based on matrix multiplication and fingerprint function. Journal of Computational Biology, 7(3):331–343, 2000.
T. Akutsu, S. Miyano, and S. Kuhara. Algorithms for inferring qualitative models of biological networks. In R.B. Altman, A.K. Dunker, L. Hunter, and T.E. Klein, editors, Pacific Symposium on Biocomputing, volume 5, pages 293–304, World Scientific Press, 2000.
R. Alves and M.A. Savageau. Extending the method of mathematically controlled comparison to include numerical comparisons. Bioinformatics, 16(9):786–798, 2000.
M. Antoniatti, B. Mishra, C. Piazza, A. Policriti, and M. Simeoni. Modeling cellular behavior with hybrid automata: bisimulation and collapsing. In Proceedings of the first international workshop on Computational Methods in Systems Biology, Lecture Notes in Computer Science. Springer-Verlag, 2003.
A. Arkin, J. Ross, and H.H. McAdams. Stochastic kinetic analysis of developmental pathway bifurcation in phage lambda-infected Escherichia coli cells. Genetics, 149:1633–1648, 1998.
G.D. Bader, I. Donaldson, C. Wolting, B.F. Ouellette, T. Pawson, and C.W. Hogue. BIND — the biomolecular interaction network database. Nucleic Acids Research, 29(1):242–245, 2001.
U.S. Bhalla and R. Iyengar. Emergent properties of networks of biological signaling pathways. Science, 283(5400):381–387, 1999.
D. Bray. Reductionism for biochemists: how to survive the protein jungle. Trends in Biochemical Sciences, 22(9):325–326, 1997.
N. Chabrier and F. Fages. Symbolic model checking of biochemical networks. In Proceedings of the first international workshop on Computational Methods in Systems Biology, Lecture Notes in Computer Science. Springer-Verlag, 2003.
G. Ciobanu. Formal description of the molecular processes. In C. Martin-Vide and Gh. Paun, editors, Recent Topics in Mathematical and Computational Linguistics, pages 82–96. Publishing House of the Romanian Academy, 2000.
G. Ciobanu and M. Rotaru. Molecular interaction. Journal of Theoretical Computer Science, 289(1):801–827, 2002.
G. Ciobanu, V. Ciubotariu, and B. Tanasa. A π-calculus model of the Na pump. In Genome Informatics, pages 469–472, Tokyo, 2002. Universal Academy Press.
M. Curti, P. Degano, and C.T. Baldari. Casual calculus for biochemical modeling. In Proceedings of the first international workshop on Computational Methods in Systems Biology, Lecture Notes in Computer Science. Springer-Verlag, 2003.
P. Dhaeseleer, S. Liang, and R. Somogyi. Genetic network inference: from co-expression clustering to reverse engineering. Bioinformatics, 16(8):707–726, 2000.
K. Eilbeck, A. Brass, N. Paton, and C. Hodgman. Interact: an object oriented protein-protein interaction database. In Intelligent Systems for Molecular Biology, volume 7, pages 87–94, AAAI Press, 1999.
A. Finney, H. Sauro, M. Hucka, and H. Bolouri. An XML-based model description language for systems biology simulations. Technical report, California Institute of Technology, September 2000.
W. Fontana and L.W. Buss. The barrier of objects: from dynamical systems to bounded organizations. In J. Casti and A. Karlqvist, editors, Boundaries and Barriers, pages 56–116. Addison-Wesley, 1996.
D.T. Gillespie. Exact stochastic simulation of coupled chemical reactions. Journal of Physical Chemistry, 81(25):2340–2361, 1977.
C. Girault and R. Valk. Petri Nets for Systems Engineering: A Guide to Modeling, Verification, and Applications. Springer-Verlag, 2002.
P.J.E. Goss and J. Peccoud. Quantitative modeling of stochastic systems in molecular biology by using stochastic Petri nets. Proceedings of the National Academy of Sciences USA, 95(12):6750–6755, 1998.
P.J.E. Goss and J. Peccoud. Analysis of the stabilizing effect of ROM on the genetic network controlling cole1 plasmid replication. In R. B. Altman, A. K. Dunker, L. Hunter, and T. E. Klein, editors, Pacific Symposium on Biocomputing, volume 4, pages 65–76, World Scientific Press, 1999.
D. Harel and E. Gery. Executable object modeling with statecharts. IEEE Computer, 30(7):31–42, 1997.
K.R. Heidtke and S. Schulze-Kremer. Deriving simulation models from a molecular biology knowledge base. In Proceedings of the 4th Workshop on Engineering Problems for Qualitative Reasoning of the 16th International Joint Conference on Artificial Intelligence, 1999.
C.-H. Heldin and M. Purton, editors. Signal Transduction. Modular Texts in Molecular and Cell Biology 1. Chapman and Hall, London, 1996.
R. Hofestadt and S. Thelen. Quantitative modeling of biochemical networks. In Silico Biology, 1(1):39–53, 1998.
M. Holcombe and A. Bell. Computational models of immunological pathways. In M. Holcombe and R. Paton, editors, Information Processing in Cells and Tissues: Proceedings of IPCAT’ 97, pages 213–226, Plenum Press, New York, 1998.
T. Igarashi and T. Kaminuma. Development of a cell signalling networks database. In R.B. Altman, A.K. Dunker, L. Hunter, and T.E. Klein, editors, Proceedings of the Pacific Symposium of Biocomputing’ 97, pages 187–197, World Scientific Press, Singapore, 1997.
N. Kam, I.R. Cohen, and D. Harel. The immune system as a reactive system: Modeling T cell activation with statecharts. Bulletin of Mathematical Biology, 2002. An extended abstract of this paper appeared in the Proceedings of the Symposium on Human-Centric Computing Languages and Environments, Stresa, Italy, pages 15–22, 2001.
N. Kam, D. Harel, and I.R. Cohen. Modeling biological reactivity: statecharts vs. boolean logic. In Proceedings of the Second International Conference on Systems Biology, Pasadena, CA, 2001.
P.D. Karp, M. Krummenacker, S. Paley, and J. Wagg. Integrated pathway/ genome databases and their role in drug discovery. Trends in Biotechnology, 17(7):275–281, 1999.
T. Kazic. Semiotes: a semantics for sharing. Bioinformatics, 16(12):1129–1144, 2000.
H. Kitano. Computational systems biology. Nature, 420:206–210, 2002.
R. Kuffner, R. Zimmer, and T. Lengauer. Pathway analysis in metabolic databases via differential metabolic display. Bioinformatics, 16(9):825–836, 2000.
K.M. Kyoda, M. Muraki, and H. Kitano. Construction of a generalized simulator for multi-cellular organisms and its application to SMAD signal transduction. In R. B. Altman, A. K. Dunker, L. Hunter, and T. E. Klein, editors, Pacific Symposium on Biocomputing, volume 5, pages 317–328, World Scientific Press, Singapore, 2000.
H. Matsuno, A. Doi, M. Nagasaki, and S. Miyano. Hybrid Petri net representation of gene regulatory network. In R.B. Altman, A.K. Dunker, L. Hunter, and T.E. Klein, editors, Pacific Symposium on Biocomputing, volume 5, pages 341–352, World Scientific Press, Singapore, 2000.
H. Matsuno, R. Murakani, R. Yamane, N. Yamasaki, S. Fujita, H. Yoshimori, and S. Miyano. Boundary formation by notch signaling in drosophila multicellular systems: experimental observations and gene network modeling by genomic object net. In R.B. Altman, A.K. Dunker, L. Hunter, and T.E. Klein, editors, Pacific Symposium on Biocomputing, volume 8, World Scientific Press, Singapore, 2003.
H.H. McAdams and A. Arkin. Stochastic mechanisms in gene expression. Proceedings of the National Academy of Sciences USA, 94(3):814–819, 1997.
H. H. McAdams and L. Shapiro. Circuit simulation of genetic networks. Science, 269(5224):650–656, 1995.
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.
R. Milner. π-nets: a graphical form of the π-calculus. In D. Sannella, editor, Proceedings of the Fifth European Symposium on Programming (ESOP’ 94), volume 788 of Lecture Notes in Computer Science, pages 26–42, Springer-Verlag, Berlin, 1994.
R. Milner. Communicating and Mobile Systems: The π-Calculus. Cambridge University Press, Cambridge, 1999.
P. Nielsen, D. Bullivant, C. Lloyd, D. Nickerson, S. Lett, K. Jim, and P. Noble. The CellML modeling language. http://www.cellml.org/public/specification/, 2000.
H. Ogata, S. Goto, W. Fujibuchi, and M. Kanehisa. Computation with the Kegg pathway database. Biosystems, 47(1–2):119–128, 1998.
F. Orava and J. Parrow. An algebraic verification of a mobile network. Formal Aspects of Computing, 4(6):497–543, 1992.
A. Pagnoni and A. Visconti. Detection and analysis of unexpected state components in biological systems. In Proceedings of the first international workshop on Computational Methods in Systems Biology, Lecture Notes in Computer Science. Springer-Verlag, 2003.
T. Pawson and P. Nash. Protein-protein interactions define specificity in signal transduction. Genes and Development, 141027–1047, 2000.
C. Priami, A. Regev, E. Shapiro, and W. Silverman. Application of a stochastic name-passing calculus to representation and simulation of molecular processes. Information Processing Letters, 80:25–31, 2001.
T. Quatrani. Visual Modeling with Rational Rose 2000 and UML. Addison-Wesley, 2000.
A. Regev, K. Panina, W. Silverman, L. Cardelli, and E. Shapiro. Bioambients — a calculus for biological compartments. Manuscript in preparation.
A. Regev and E. Shapiro. Cellular abstractions. Nature, 419:343, 2002.
A. Regev, W. Silverman, and E. Shapiro. Representation and simulation of biochemical processes using the pi-calculus process algebra. In R.B. Altman, A.K. Dunker, L. Hunter, and T.E. Klein, editors, Pacific Symposium on Biocomputing, volume 6, pages 459–470, World Scientific Press, Singapore, 2001.
W. Reisig and G. Rozenberg. Informal introduction to Petri nets. Lecture Notes in Computer Science: Lectures on Petri Nets I: Basic Models, vol. 1491, 1998.
M.G. Samsonova and V.N. Serov. Network: an interactive interface to the tools for analysis of genetic network structure and dynamics. In R.B. Altman, A.K. Dunker, L. Hunter, and T.E. Klein, editors, Pacific Symposium on Biocomputing, volume 4, pages 102–111, World Scientific Press, Singapore, 1999.
L. Sanchez, J. van Helden, and D. Thieffry. Establishment of the dorso-ventral pattern during embryonic development of Drosophila melanogasater: a logical analysis. Journal of Theoretical Biology, 189(4):377–389, 1997.
H.M. Sauro. Scamp: a general-purpose simulator and metabolic control analysis program. Computer Applications in Bioscience, 9(4):441–450, 1993.
S. Schuster, D.A. Fell, and T. Dandekar. A general definition of metabolic pathways useful for systematic organization and analysis of complex metabolic networks. Computer Applications in Bioscience, 18(3):326–332, 2000.
E. Selkov, Y. Grechkin, N. Mikhailova, and E. Selkov. MPW: the metabolic pathways database. Nucleic Acids Research, 26(1):43–45, 1998.
E. Shapiro. Concurrent Prolog: a progress report. In E. Shapiro, editor, Concurrent Prolog (vol. I), pages 157–187. MIT Press, Cambridge, MA, 1987.
W. Silverman, M. Hirsch, A. Houri, and E. Shapiro. The Logix system user manual, version 1.21. In E. Shapiro, editor, Concurrent Prolog (vol. II), pages 46–78. MIT Press, Cambridge, MA, 1987.
T.F. Smith. Functional genomics — bioinformatics is ready for the challenge. Trends in Genetics, 14(7):291–293, 1998.
L. Stryer. Biochemistry. W.H. Freeman, 1995.
Z. Szallasi. Genetic network analysis in light of massively parallel biological data. In R.B. Altman, A.K. Dunker, L. Hunter, and T.E. Klein, editors, Pacific Symposium on Biocomputing, volume 4, pages 5–16, World Scientific Press, Singapore, 1999.
D. Thieffry and D. Romero. The modularity of biological regulatory networks. Biosystems, 50(1):49–59, 1999.
D. Thieffry and R. Thomas. Qualitative analysis of gene networks. In R.B. Altman, A.K. Dunker, L. Hunter, and T.E. Klein, editors, Pacific Symposium on Biocomputing, volume 3, pages 77–88, World Scientific Press, Singapore, 1998.
J. van Helden, A. Naim, R. Mancuso, M. Eldridge, L. Wernisch, D. Gilbert D, and S. J. Wodak. Representing and analysing molecular and cellular function using the computer. Biological Chemistry, 381(9-10):921–935, 2000.
B. Victor and F. Moller. The Mobility Workbench — a tool for the π-calculus. In D. Dill, editor, CAV’94: Computer Aided Verification, volume 818 of Lecture Notes in Computer Science, pages 428–440. Springer-Verlag, 1994.
D. Voet and J. Voet. Biochemistry. 2nd edition. John Wiley & Sons, 1995.
E. Wingender, X. Chen, E. Fricke, R. Geffers, R. Hehl, I. Liebich, M. Krull, V. Matys, H. Michael, R. Ohnhauser, M. Pruss, F. Schacherer, S. Thiele, and S. Urbach. The transfac system on gene expression regulation. Nucleic Acids Research, 29(1):281–283, 2001.
I. Xenarios, E. Fernandez, L. Salwinski, X.J. Duan, M.J. Thompson, E.M. Marcotte, and D. Eisenberg. DIP: the database of interacting proteins: 2001 update. Nucleic Acids Research, 29(1):239–241, 2001.
T.-M. Yi, Y. Huang, M.I. Simon, and J. Doyle. Robust perfect adaptation in bacterial chemotaxis through integral feedback control. Proceedings of the National Academy of Sciences USA, 97(9):4649–4653, 2000.
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Regev, A., Shapiro, E. (2004). The π-calculus as an Abstraction for Biomolecular Systems. In: Ciobanu, G., Rozenberg, G. (eds) Modelling in Molecular Biology. Natural Computing Series. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18734-6_11
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