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R. V. Solé, S. C. Manrubia, B. Luque, J. Delgado, and J. Bascompte, Complexity, 13 (1996). A possible scenario for reaching critical points was suggested by P. Bak, and
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R. V. Solé, S. C. Manrubia, B. Luque, J. Delgado, and J. Bascompte, Complexity 1 13 (1996). A possible scenario for reaching critical points was suggested by P. Bak, C. Tang and K. Wiesenfeld, Phys. Rev. A38, 364 (1988).
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For a recent review of the application of RBNs to the genome, see, and, Though the genome regulation involves, in fact, continuous concentrations of RNA and proteins, the high nonlinearities implicit in the gene-gene interactions leads to a basically on-off response. Even if a continuous model of gene interaction is considered, a nearly binary response is reached. This is, for example, what we get in the two-gene model of the λ-phage behavior, where two proteins interact in such a way that they show mutual inhibition. A continuous model can be easily derived [see D. Kaplan and L. Glass, Understanding Nonlinear Dynamical Systems (Springer, New York, 1995)] leading to two attractors where one of the concentrations is high and the other is very low. This happens through a symmetry breaking and can be easily modeled by a N=2 Boolean net. However, as the size of the system grows, continuous models give us little useful information (in particular, no general macroscopic properties are shared with the real genome). Actually, RBNs are the only successful model leading to predictable properties
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R. V. Soléand B. Luque, Phys. Lett. A196, 331 (1995). For a recent review of the application of RBNs to the genome, see R. Somogyi and C A. Sniegoski, Complexity1, 45 (1996). Though the genome regulation involves, in fact, continuous concentrations of RNA and proteins, the high nonlinearities implicit in the gene-gene interactions leads to a basically on-off response. Even if a continuous model of gene interaction is considered, a nearly binary response is reached. This is, for example, what we get in the two-gene model of the λ-phage behavior, where two proteins interact in such a way that they show mutual inhibition. A continuous model can be easily derived [see D. Kaplan and L. Glass, Understanding Nonlinear Dynamical Systems (Springer, New York, 1995)] leading to two attractors where one of the concentrations is high and the other is very low. This happens through a symmetry breaking and can be easily modeled by a N=2 Boolean net. However, as the size of the system grows, continuous models give us little useful information (in particular, no general macroscopic properties are shared with the real genome). Actually, RBNs are the only successful model leading to predictable properties.
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(1996)
Complexity
, vol.1
, pp. 45
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Solé, R.V.1
Somogyi, R.2
Sniegoski, C.A.3
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