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Volumn 13, Issue 3, 2003, Pages 535-552

Finding cycles in synchronous Boolean networks with applications to biochemical systems

Author keywords

AND XOR logic; Cycles; Deterministic Boolean networks; Intracellular signal transduction

Indexed keywords

FORMAL LOGIC; KINETIC THEORY; MOLECULAR BIOLOGY; POLYNOMIALS; REACTION KINETICS;

EID: 0038324265     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127403006765     Document Type: Article
Times cited : (182)

References (32)
  • 2
    • 0033279835 scopus 로고    scopus 로고
    • Integration of signaling networks that regulate dictyostelium differentiation
    • Aubry, L. & Firtel, R. [1999] "Integration of signaling networks that regulate Dictyostelium differentiation," Ann. Rev. Cell Dev. Biol. 15, 469-517.
    • (1999) Ann. Rev. Cell Dev. Biol. , vol.15 , pp. 469-517
    • Aubry, L.1    Firtel, R.2
  • 3
    • 0031804503 scopus 로고    scopus 로고
    • Signaling complexes: Biophysical constraints on intracellular communication
    • Bray, D. [1998] "Signaling complexes: Biophysical constraints on intracellular communication," Ann. Rev. Biomol. Struct. 279, 59-75.
    • (1998) Ann. Rev. Biomol. Struct. , vol.279 , pp. 59-75
    • Bray, D.1
  • 4
    • 0026857336 scopus 로고
    • Matrix tests for period 1 and period 2 limit cycles in discrete threshold networks
    • Brown, D. [1992] "Matrix tests for period 1 and period 2 limit cycles in discrete threshold networks," IEEE Trans. Syst. Man Cybern. 22(3), 552-554.
    • (1992) IEEE Trans. Syst. Man Cybern. , vol.22 , Issue.3 , pp. 552-554
    • Brown, D.1
  • 5
    • 0015000192 scopus 로고
    • Linear analysis of switching nets
    • Cull, P. [1971] "Linear analysis of switching nets," Kybernetik 8(1), 31-39.
    • (1971) Kybernetik , vol.8 , Issue.1 , pp. 31-39
    • Cull, P.1
  • 6
    • 0027799459 scopus 로고
    • A Boolean delay equation model of an inter-decadal Arctic climate cycle
    • Darby, M. & Mysak, L. [1993] "A Boolean delay equation model of an inter-decadal Arctic climate cycle," Clim. Dyn. 8, 241-246.
    • (1993) Clim. Dyn. , vol.8 , pp. 241-246
    • Darby, M.1    Mysak, L.2
  • 8
    • 0015296342 scopus 로고
    • Co-operative components, spatial localization and oscillatory cellular dynamics
    • Glass, L. & Kauffman, S. A. [1972] "Co-operative components, spatial localization and oscillatory cellular dynamics," J. Theor. Biol. 34, 219-237.
    • (1972) J. Theor. Biol. , vol.34 , pp. 219-237
    • Glass, L.1    Kauffman, S.A.2
  • 9
    • 0015609281 scopus 로고
    • The logical analysis of continuous, nonlinear biochemical control networks
    • Glass, L. & Kauffman, S. A. [1973] "The logical analysis of continuous, nonlinear biochemical control networks," J. Theor. Biol. 39, 103-129.
    • (1973) J. Theor. Biol. , vol.39 , pp. 103-129
    • Glass, L.1    Kauffman, S.A.2
  • 10
    • 0018168876 scopus 로고
    • Stable oscillations in mathematical models of biological control systems
    • Glass, L. & Pasternack, J. [1978a] "Stable oscillations in mathematical models of biological control systems," J. Math. Biol. 6, 207-223.
    • (1978) J. Math. Biol. , vol.6 , pp. 207-223
    • Glass, L.1    Pasternack, J.2
  • 11
    • 0017834347 scopus 로고
    • Predictions of limit cycles in mathematical models of biological oscillations
    • Glass, L. & Pasternack, J. [1978b] "Predictions of limit cycles in mathematical models of biological oscillations," Bull. Math. Biol. 40, 27-44.
    • (1978) Bull. Math. Biol. , vol.40 , pp. 27-44
    • Glass, L.1    Pasternack, J.2
  • 12
    • 0037586427 scopus 로고
    • Boolean and continuous models for the generation of biological rhythms
    • eds Demongast, J., Goles, E. & Tchuente, M. (Academic Press, London)
    • Glass, L. [1985] "Boolean and continuous models for the generation of biological rhythms," Dynamical Systems and Cellular Automata, eds. Demongast, J., Goles, E. & Tchuente, M. (Academic Press, London), pp. 197-206.
    • (1985) Dynamical Systems and Cellular Automata , pp. 197-206
    • Glass, L.1
  • 14
    • 0011644898 scopus 로고    scopus 로고
    • Dynamical behavior of Kauffman networks with and- or gates
    • Goles, E. & Hernandez, G. [2000] "Dynamical behavior of Kauffman networks with and- or gates," J. Biol. Syst. 8(2), 151-175.
    • (2000) J. Biol. Syst. , vol.8 , Issue.2 , pp. 151-175
    • Goles, E.1    Hernandez, G.2
  • 15
    • 0035926434 scopus 로고    scopus 로고
    • A model for a network of phosphorylation-dephosphorylation cycles displaying the dynamics of dominoes and clocks
    • Gonze, D. & Goldbeter, A. [2000] "A model for a network of phosphorylation-dephosphorylation cycles displaying the dynamics of dominoes and clocks," J. Theor. Biol. 210, 167-186.
    • (2000) J. Theor. Biol. , vol.210 , pp. 167-186
    • Gonze, D.1    Goldbeter, A.2
  • 17
    • 0033130447 scopus 로고    scopus 로고
    • Nonchaotic behavior in three-dimensional quadratic systems II. The conservative case
    • Heidel, J. & Zhang, F. [1999] "Nonchaotic behavior in three-dimensional quadratic systems II. The conservative case," Nonlinearity 12, 617-633.
    • (1999) Nonlinearity , vol.12 , pp. 617-633
    • Heidel, J.1    Zhang, F.2
  • 19
    • 0014489272 scopus 로고
    • Metabolic stability and epigenesis in randomly connected nets
    • Kauffman, S. A. [1969] "Metabolic stability and epigenesis in randomly connected nets," J. Theor. Biol. 22, 437-467.
    • (1969) J. Theor. Biol. , vol.22 , pp. 437-467
    • Kauffman, S.A.1
  • 22
    • 21344494657 scopus 로고
    • The behavior of affine Boolean sequential networks
    • Milligan, D. K. & Wilson, M. J. D. [1993] "The behavior of affine Boolean sequential networks," Connect. Sci. 5(2), 153-167.
    • (1993) Connect. Sci. , vol.5 , Issue.2 , pp. 153-167
    • Milligan, D.K.1    Wilson, M.J.D.2
  • 25
    • 0032798406 scopus 로고    scopus 로고
    • Alternating oscillations and chaos in a model of two coupled biochemical oscillators driving successive phases of the cell cycle
    • New York Academy of Sciences, NY
    • Romond, P.-C., Rustici, M., Gonze, D. & Goldbeter, A. [1999] "Alternating oscillations and chaos in a model of two coupled biochemical oscillators driving successive phases of the cell cycle," Tempos in Science and Nature: Structures, Relations, and Complexity (New York Academy of Sciences, NY), Vol. 879, pp. 180-193.
    • (1999) Tempos in Science and Nature: Structures Relations, and Complexity , vol.879 , pp. 180-193
    • Romond, P.-C.1    Rustici, M.2    Gonze, D.3    Goldbeter, A.4
  • 26
    • 0029810269 scopus 로고    scopus 로고
    • Cell cycle control of DNA replication
    • Stillman, B. [1996] "Cell cycle control of DNA replication," Science 274, 1659-1664.
    • (1996) Science , vol.274 , pp. 1659-1664
    • Stillman, B.1
  • 28
    • 0035937443 scopus 로고    scopus 로고
    • Two-state allosteric behavior in a single-domain signaling protein
    • Volkman, B. F., Lipson, D., Wemmer, D. E. & Kern, D. [2001] "Two-state allosteric behavior in a single-domain signaling protein," Science 291(5512), 2329-2330.
    • (2001) Science , vol.291 , Issue.5512 , pp. 2329-2330
    • Volkman, B.F.1    Lipson, D.2    Wemmer, D.E.3    Kern, D.4
  • 29
    • 0011894367 scopus 로고    scopus 로고
    • Absence of cycles in symmetric neural networks
    • Wang, X., Jagota, A. & Botelho, F. [1998] "Absence of cycles in symmetric neural networks," Neural Comput. 10, 1235-1249.
    • (1998) Neural Comput. , vol.10 , pp. 1235-1249
    • Wang, X.1    Jagota, A.2    Botelho, F.3
  • 31
    • 21144472136 scopus 로고
    • Cyclic behavior of autonomous, synchronous Boolean networks: Some theorems and conjectures
    • Wilson, M. J. D. & Milligan, D. K. [1992] "Cyclic behavior of autonomous, synchronous Boolean networks: Some theorems and conjectures," Connect. Sci. 4(2), 143-154.
    • (1992) Connect. Sci. , vol.4 , Issue.2 , pp. 143-154
    • Wilson, M.J.D.1    Milligan, D.K.2
  • 32
    • 0041634867 scopus 로고    scopus 로고
    • Nonchaotic behavior in three-dimensional quadratic systems
    • Zhang, F. & Heidel, J. [1997] "Nonchaotic behavior in three-dimensional quadratic systems," Nonlinearity 10, 1289-1303.
    • (1997) Nonlinearity , vol.10 , pp. 1289-1303
    • Zhang, F.1    Heidel, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.