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Volumn , Issue , 2011, Pages 6380-6385

Stability and stabilization issue of probabilistic Boolean network

Author keywords

Probabilistic Boolean network; Semi tensor product of matrices; Stability; Stabilization

Indexed keywords

PROBABILISTIC BOOLEAN NETWORKS; SEMI-TENSOR PRODUCT; SUFFICIENT CONDITIONS;

EID: 80053065437     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (9)

References (20)
  • 1
    • 0014489272 scopus 로고
    • Metabolic stability and epigenesis in randomly constructed genetic nets
    • S. A. Kauffman, Metabolic stability and epigenesis in randomly constructed genetic nets, Journal of Theoretical Biology, 22: 437-467, 1969.
    • (1969) Journal of Theoretical Biology , vol.22 , pp. 437-467
    • Kauffman, S.A.1
  • 2
    • 0037799461 scopus 로고    scopus 로고
    • Superpolynomial growth in the number of attractors in Kauffman networks
    • B. Samuelsson, C. Troein, Superpolynomial growth in the number of attractors in Kauffman networks, Phys. Rev. Lett., 90: 098701(4), 2003.
    • (2003) Phys. Rev. Lett. , vol.90 , Issue.4 , pp. 098701
    • Samuelsson, B.1    Troein, C.2
  • 3
    • 18144407620 scopus 로고    scopus 로고
    • Number and length of attractors in a critical Kauffman model with connectivity one
    • B. Drossel, T. Mihaljev, F. Greil, Number and length of attractors in a critical Kauffman model with connectivity one, Phys. Rev. Lett., 94: 088701(4), 2005.
    • (2005) Phys. Rev. Lett. , vol.94 , Issue.4 , pp. 088701
    • Drossel, B.1    Mihaljev, T.2    Greil, F.3
  • 4
    • 2442510008 scopus 로고    scopus 로고
    • Scalar equations for synchronous Boolean networks with biological applications
    • C. Farrow, J. Heidel, J. Maloney, J. Rogers, Scalar equations for synchronous Boolean networks with biological applications, IEEE Trans. Neural Networks, 15: 348-354, 2004.
    • (2004) IEEE Trans. Neural Networks , vol.15 , pp. 348-354
    • Farrow, C.1    Heidel, J.2    Maloney, J.3    Rogers, J.4
  • 5
    • 63049093000 scopus 로고    scopus 로고
    • Input-state approach to Boolean networks
    • D. Cheng, Input-state approach to Boolean networks, IEEE Trans. Neural Networks, 20: 512-521, 2009.
    • (2009) IEEE Trans. Neural Networks , vol.20 , pp. 512-521
    • Cheng, D.1
  • 6
    • 0038324265 scopus 로고    scopus 로고
    • Finding cycles in synchronous Boolean networks with applications to biochemical systems
    • J. Heidel, J. Maloney, C. Farrow, J. A. Rogers, Finding cycles in synchronous Boolean networks with applications to biochemical systems, Int. J. Bifurcat. Chaos, 13: 535-552, 2003.
    • (2003) Int. J. Bifurcat. Chaos , vol.13 , pp. 535-552
    • Heidel, J.1    Maloney, J.2    Farrow, C.3    Rogers, J.A.4
  • 7
    • 67349272281 scopus 로고    scopus 로고
    • Controllability and observability of Boolean control networks
    • D. Cheng, H. Qi, Controllability and observability of Boolean control networks, Automatica, 45: 1659-1667, 2009.
    • (2009) Automatica , vol.45 , pp. 1659-1667
    • Cheng, D.1    Qi, H.2
  • 8
    • 73049117261 scopus 로고    scopus 로고
    • Realization of Boolean control networks
    • D. Cheng, Z. Li, H. Qi, Realization of Boolean control networks, Automatica, 46: 62-69, 2010.
    • (2010) Automatica , vol.46 , pp. 62-69
    • Cheng, D.1    Li, Z.2    Qi, H.3
  • 9
    • 79953230566 scopus 로고    scopus 로고
    • Input-state incidence matrix of Boolean control networks and its applications
    • Y. Zhao, H. Qi, D. Cheng, Input-state incidence matrix of Boolean control networks and its applications, Systems & Control Letters, 59: 767-774, 2010.
    • (2010) Systems & Control Letters , vol.59 , pp. 767-774
    • Zhao, Y.1    Qi, H.2    Cheng, D.3
  • 10
    • 79952483982 scopus 로고    scopus 로고
    • Controllability of Boolean control networks with time delays in states
    • F. Li, J. Sun, Controllability of Boolean control networks with time delays in states, Automatica, 47: 603-607, 2011.
    • (2011) Automatica , vol.47 , pp. 603-607
    • Li, F.1    Sun, J.2
  • 11
    • 0036184629 scopus 로고    scopus 로고
    • Probabilistic Boolean networks: A rule-based uncertainty model for gene regulatory networks
    • I. Shmulevich, E. R. Dougherty, S. Kim, W. Zhang, Probabilistic Boolean networks: a rule-based uncertainty model for gene regulatory networks, Bioinformatics, 18: 261-274, 2002.
    • (2002) Bioinformatics , vol.18 , pp. 261-274
    • Shmulevich, I.1    Dougherty, E.R.2    Kim, S.3    Zhang, W.4
  • 12
    • 34547840185 scopus 로고    scopus 로고
    • An approximation method for solving the steady-state probability distribution of probabilistic Boolean networks
    • W.-K. Ching, S. Zhang, M. K. Ng, T. Akutsu, An approximation method for solving the steady-state probability distribution of probabilistic Boolean networks, Bioinformatics, 23: 1511-1518, 2007.
    • (2007) Bioinformatics , vol.23 , pp. 1511-1518
    • Ching, W.-K.1    Zhang, S.2    Ng, M.K.3    Akutsu, T.4
  • 13
    • 24344481300 scopus 로고    scopus 로고
    • Steady-state probabilities for attractors in probabilistic Boolean networks
    • M. Brun, E. R. Dougherty, I. Shmulevich, Steady-state probabilities for attractors in probabilistic Boolean networks, Signal Processing, 85: 1993-2013, 2005.
    • (2005) Signal Processing , vol.85 , pp. 1993-2013
    • Brun, M.1    Dougherty, E.R.2    Shmulevich, I.3
  • 14
    • 0346505356 scopus 로고    scopus 로고
    • Steady-state analysis of genetic regulatory networks modelled by probabilistic Boolean networks
    • I. Shmulevich, I. Gluhovsky, R. F. Hashimoto, E. R. Dougherty, W. Zhang, Steady-state analysis of genetic regulatory networks modelled by probabilistic Boolean networks, Comp. Funct. Genomics, 4: 601-608, 2003.
    • (2003) Comp. Funct. Genomics , vol.4 , pp. 601-608
    • Shmulevich, I.1    Gluhovsky, I.2    Hashimoto, R.F.3    Dougherty, E.R.4    Zhang, W.5
  • 16
    • 33744466566 scopus 로고    scopus 로고
    • Optimal infinite-horizon control for probabilistic Boolean networks
    • R. Pal, A. Datta, E. R. Dougherty, Optimal infinite-horizon control for probabilistic Boolean networks, IEEE Trans. Signal processing, 54: 2375-2387, 2006.
    • (2006) IEEE Trans. Signal Processing , vol.54 , pp. 2375-2387
    • Pal, R.1    Datta, A.2    Dougherty, E.R.3
  • 17
    • 38949144494 scopus 로고    scopus 로고
    • On approximate stochastic control in genetic regulatory networks
    • B. Faryabi, A. Datta, E. R. Dougherty, On approximate stochastic control in genetic regulatory networks, IET Syst. Biol., 1: 361-368, 2007.
    • (2007) IET Syst. Biol. , vol.1 , pp. 361-368
    • Faryabi, B.1    Datta, A.2    Dougherty, E.R.3
  • 20
    • 77957702887 scopus 로고    scopus 로고
    • A linear representation of dynamics of Boolean networks
    • D. Cheng, H. Qi, A linear representation of dynamics of Boolean networks, IEEE Trans. Automat. Control, 55: 2251-2258, 2010.
    • (2010) IEEE Trans. Automat. Control , vol.55 , pp. 2251-2258
    • Cheng, D.1    Qi, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.