Abstract
MP systems concepts will be revisited, in more general terms, by stressing their special role in solving dynamical inverse problems. Then, a main application of MP systems to Systems Biology will be outlined, which concerns gene expression in breast cancer (in cooperation with Karmanos Cancer Institute, Wayne State University, Detroit MI, USA). From recent experimental results developed at KCI, it follows that MP systems can provide ”good” models of pathological phenomena, where good, in this case, means useful to oncologists. In fact, the MP systems methodology has identified previously unknown intermediaries in a breast cancer cell-specific signaling circuit. This could provide a significant contribution to the task of mapping complete oncogenic signaling networks to improve cancer treatments.
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References
Aczel, A.D., Sounderpandian, J.: Complete Business Statistics, International Edition. Mc Graw Hill (2006)
Bernardini, F., Manca, V.: Dynamical aspects of P systems. Biosystems 70(2), 85–93 (2003)
Bianco, L.: Membrane models of biological systems. PhD Thesis. University of Verona (2007)
Bianco, L., Fontana, F., Franco, G., Manca, V.: P systems for biological dynamics. In: [9] (2005)
Castellini, A., Zucchelli, M., Busato, M., Manca, V.: From time series to biological network regulations. Molecular Biosystems (2012), doi:10.1039/C2MB25191D
Bianco, L., Manca, V., Marchetti, M., Petterlini, M.: Psim: a simulator for biochemical dynamics based on P systems. In: CEC 2007 - IEEE Congress on Evolutionary Computation, Singapore, September 25-28 (2007)
Castellini, A.: Algorithms and software for biological MP modeling by statistical optimization techniques. PhD Thesis. University of Verona (2010)
Castellini, A., Franco, G., Manca, V.: Hybrid Functional Petri Nets as MP systems. Natural Computing 9, 61–81 (2010)
Ciobanu, G., Păun, G., Perez-Jimenez, M.J.: Applications of Membrane Computing. Springer (2005)
Draper, N., Smith, H.: Applied Regression Analysis, 2nd edn. John Wiley & Sons, New York (1981)
Gheorghe, M., Manca, V., Romero-Campero, F.J.: Deterministic and stochastic P systems for modelling cellular processes. Natural Computing 9, 457–473 (2010)
Fontana, F., Manca, V.: Discrete solutions to differential equations by metabolic P systems. Theoretical Computer Science 372, 165–182 (2007)
Fontana, F., Manca, V.: Predator-prey dynamics in P systems ruled by metabolic algorithm. BioSystems 91, 545–557 (2008)
Goldbeter, A.: A minimal cascade model for the mitotic oscillator involving cyclin and cdc2 kinase. PNAS 88(20)
Gillespie, D.T.: A general method for numerically simulating the stochastic time evolution of coupled chemical reactions. J. Comp. Phys. 22, 403–434 (1976)
Goldbeter, A.: Biochemical Oscillations and Cellular Rhythms: The molecular bases of periodic and chaotic behaviour. Cambridge University Press (1996)
Goldbeter, A.: Computational approaches to cellular rhythms. Nature 420, 238–245 (2002)
Hocking, R.R.: The Analysis and Selection of Variables in Linear Regression. Biometrics 32 (1976)
Hoerl, A.E., Kennard, R.W.: Biased Estimation of Nonorthogonal Problems. Thechnometrics 42(1), Special 40th Anniversary Issue, 80–86 (2000)
Johnson, S.C.: Hierarchical Clustering Schemes. Psychometrika 2, 241–254 (1967)
Jain, A.K.: Fundamentals of Digital Image Processing. Prentice Hall (1989)
Manca, V.: String rewriting and metabolism. A logical perspective. In: [46], pp. 36–60 (1998)
Manca, V.: The metabolic algorithm: principles and applications. Theoretical Computer Science 404, 142–157 (2008)
Manca, V.: Log-Gain Principles for Metabolic P Systems. In: Condon, A., Harel, D., Kok, J.N., Salomaa, A., Winfree, E. (eds.) Algorithmic Bioprocesses. Natural Computing Series, pp. 585–605. Springer, Heidelberg (2009)
Manca, V.: Fundamentals of Metabolic P Systems. In: [49], ch. 19 (2010)
Manca, V.: Metabolic P Dynamics. In: [49], ch. 20 (2010)
Manca, V.: From P to MP Systems. In: Păun, G., Pérez-Jiménez, M.J., Riscos-Núñez, A., Rozenberg, G., Salomaa, A. (eds.) WMC 2009. LNCS, vol. 5957, pp. 74–94. Springer, Heidelberg (2010)
Manca, V.: Metabolic P systems. Scholarpedia 5(3), 9273 (2010)
Manca, V., Bianco, L.: Biological networks in metabolic P systems. BioSystems 91, 489–498 (2008)
Manca, V., Bianco, L., Fontana, F.: Evolution and Oscillation in P Systems: Applications to Biological Phenomena. In: Mauri, G., Păun, G., Jesús Pérez-Jímenez, M., Rozenberg, G., Salomaa, A. (eds.) WMC 2004. LNCS, vol. 3365, pp. 63–84. Springer, Heidelberg (2005)
Manca, V., Franco, G., Scollo, G.: State transition dynamics: basic concepts and molecular computing perspectives. In: Gheorghe, G. (ed.) Molecular Computational Models: Unconventional Approachers, ch. 2, pp. 32–55 (2005)
Manca, V., Lombardo, R.: Computing with Multi-membranes. In: Gheorghe, M., Păun, G., Rozenberg, G., Salomaa, A., Verlan, S. (eds.) CMC 2011. LNCS, vol. 7184, pp. 282–299. Springer, Heidelberg (2012)
Manca, V., Marchetti, L.: Metabolic approximation of real periodical functions. The Journal of Logic and Algebraic Programming 79, 363–373 (2010)
Manca, V., Marchetti, L.: Goldbeter’s Mitotic Oscillator Entirely Modeled by MP Systems. In: Gheorghe, M., Hinze, T., Păun, G., Rozenberg, G., Salomaa, A. (eds.) CMC 2010. LNCS, vol. 6501, pp. 273–284. Springer, Heidelberg (2010)
Manca, V., Marchetti, L.: Log-Gain Stoichiometic Stepwise regression for MP systems. Int. J. of Foundations of Computer Science 22(1), 97–106 (2011)
Marchetti, L., Manca, V.: A Methodology Based on MP Theory for Gene Expression Analysis. In: Gheorghe, M., Păun, G., Rozenberg, G., Salomaa, A., Verlan, S. (eds.) CMC 2011. LNCS, vol. 7184, pp. 300–313. Springer, Heidelberg (2012)
Manca, V., Marchetti, L.: Solving inverse dynamics problems by means of MP systems. BioSystems 109, 78–86 (2012)
Manca, V., Marchetti, L.: An algebraic formulation of inverse problems in MP dynamics. International Journal of Computer Mathematics (2012), doi:10.1080/00207160.2012.735362
Manca, V., Marchetti, L., Pagliarini, R.: MP modelling of glucose-insulin interactions in the Intravenous Glucose Tolerance Test. International Journal of Natural Computing Research 2(3), 13–24 (2011)
Manca, V., Martino, M.D.: From String Rewriting to Logical Metabolic Systems. In: Păun, G., Salomaa, A. (eds.) Grammatical Models of Multiagent Systems, pp. 297–315. Gordon and Breach (1999)
Manca, V., Pagliarini, R., Zorzan, S.: A photosynthetic process modelled by a metabolic P system. Natural Computing 8, 847–864 (2009)
Marchetti, L., Manca, V.: A Methodology Based on MP Theory for Gene Expression Analysis. In: Gheorghe, M., Păun, G., Rozenberg, G., Salomaa, A., Verlan, S. (eds.) CMC 2011. LNCS, vol. 7184, pp. 300–313. Springer, Heidelberg (2012)
Marchetti, L.: MP representations of biological structures and dynamics. PhD Thesis. University of Verona (2012)
Marquardt, D.W., Snee, R.D.: Ridge Regression in Practice. The American Statistician 29(1), 3–20 (1975)
Pagliarini, R.: Modeling and reverse engineering of biological phenomena by means of metabolic P systems. PhD Thesis. University of Verona (2011)
Păun, G. (ed.): Computing with biomolecules. Theory and Experiments, pp. 36–60. Springer, Singapore (1998)
Păun, G.: Computing with Membranes. Journal of Computer and Systems Science 61(1), 108–143 (2000)
Păun, G.: Membrane Computing. An Introduction. Springer (2002)
Păun, G., Rozenberg, G., Salomaa, A.: Oxford Handbook of Membrane Computing. Oxford University Press (2010)
Reising, W., Rozenberg, G. (eds.): Lectures on Petri Nets. Springer (1998)
Szallasi, Z., Stelling, J., Periwal, V. (eds.): System Modeling in Cellular Biology Lectures on Petri Nets. The MIT Press (2006)
Voit, E.O.: Computational Analysis of Biochemical Systems. Cambridge University Press (2000)
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Manca, V. (2013). An Outline of MP Modeling Framework. In: Csuhaj-Varjú, E., Gheorghe, M., Rozenberg, G., Salomaa, A., Vaszil, G. (eds) Membrane Computing. CMC 2012. Lecture Notes in Computer Science, vol 7762. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-36751-9_4
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DOI: https://doi.org/10.1007/978-3-642-36751-9_4
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