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Volumn 10, Issue 4, 2013, Pages 927-938

Algebraic representation of asynchronous multiple-valued networks and its dynamics

Author keywords

algebraic representation; asynchronous stochastic update; dynamics; Multiple valued networks

Indexed keywords

ALGEBRAIC CRITERIA; ALGEBRAIC REPRESENTATIONS; ASYNCHRONOUS STOCHASTIC UPDATE; GENERAL FORMULAS; LINEAR REPRESENTATION; MULTIPLE-VALUED; NETWORK TRANSITION; SEMI-TENSOR PRODUCT OF MATRICES;

EID: 84890487621     PISSN: 15455963     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCBB.2013.112     Document Type: Article
Times cited : (20)

References (35)
  • 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," J. Theoretical Biology, vol. 22, pp. 437-467, 1969.
    • (1969) J. Theoretical Biology , vol.22 , pp. 437-467
    • Kauffman, S.A.1
  • 3
    • 18144407620 scopus 로고    scopus 로고
    • Number and length of attractors in a critical kauffman model with connectivity one
    • B. Drossel, T. Mihaljev, and F. Greil, "Number and Length of Attractors in a Critical Kauffman Model with Connectivity One," Physical Rev. Letters, vol. 94, p. 088701, 2005.
    • (2005) Physical Rev. Letters , vol.94 , pp. 088701
    • Drossel, B.1    Mihaljev, T.2    Greil, F.3
  • 4
    • 79960906495 scopus 로고    scopus 로고
    • A SAT-based algorithm for finding attractors in synchronous boolean networks
    • Sept.
    • E. Dubrova and M. Teslenko, "A SAT-Based Algorithm for Finding Attractors in Synchronous Boolean Networks," IEEE/ACM Trans. Computational Biology and Bioinformatics, vol. 8, no. 5, pp. 1393-1399, Sept. 2011.
    • (2011) IEEE/ACM Trans. Computational Biology and Bioinformatics , vol.8 , Issue.5 , pp. 1393-1399
    • Dubrova, E.1    Teslenko, M.2
  • 5
    • 67650717307 scopus 로고    scopus 로고
    • Boolean network-based analysis of the apoptosis network: Irreversible apoptosis and stable surviving
    • Z.X. Mai and H.Y. Liu, "Boolean Network-Based Analysis of the Apoptosis Network: Irreversible Apoptosis and Stable Surviving," J. Theoretical Biology, vol. 259, pp. 760-769, 2009.
    • (2009) J. Theoretical Biology , vol.259 , pp. 760-769
    • Mai, Z.X.1    Liu, H.Y.2
  • 8
    • 33751068291 scopus 로고    scopus 로고
    • Random multiple-valued networks: Theory and application
    • E. Dubrova, "Random Multiple-Valued Networks: Theory and Application," Proc. Int'l Symp. Multiple-Valued Logic, pp. 27-33, 2006.
    • (2006) Proc. Int'l Symp. Multiple-Valued Logic , pp. 27-33
    • Dubrova, E.1
  • 9
    • 0038238296 scopus 로고    scopus 로고
    • On dynamically non-trivial three-valued logics: Oscillatory and bifurcatory species
    • A. Adamatzky, "On Dynamically Non-Trivial Three-Valued Logics: Oscillatory and Bifurcatory Species," Chaos, Solitons & Fractals, vol. 18, pp. 917-936, 2003.
    • (2003) Chaos, Solitons & Fractals , vol.18 , pp. 917-936
    • Adamatzky, A.1
  • 10
    • 0020118274 scopus 로고
    • Neural networks and physical systems with emergent collective computational abilities
    • J.J. Hopfield, "Neural Networks and Physical Systems with Emergent Collective Computational Abilities," Proc. the Nat'l Academy of Sciences USA, vol. 79, pp. 2554-2558, 1982.
    • (1982) Proc. The Nat'l Academy of Sciences USA , vol.79 , pp. 2554-2558
    • Hopfield, J.J.1
  • 13
    • 0035047751 scopus 로고    scopus 로고
    • Rhythmic and non-rhythmic attractors in asynchronous
    • Random Boolean Networks
    • E.A. Di Paolo, "Rhythmic and Non-Rhythmic Attractors in Asynchronous Random Boolean Networks," BioSystems, vol. 59, pp. 185-195, 2001.
    • (2001) BioSystems , vol.59 , pp. 185-195
    • Di Paolo, E.A.1
  • 15
    • 7444241318 scopus 로고    scopus 로고
    • Critical values in asynchronous random boolean networks
    • M. Bertrand and T. Christof, "Critical Values in Asynchronous Random Boolean Networks," Advances in Artificial Life, vol. 2801, pp. 367-376, 2003.
    • (2003) Advances in Artificial Life , vol.2801 , pp. 367-376
    • Bertrand, M.1    Christof, T.2
  • 16
    • 77957281163 scopus 로고    scopus 로고
    • Attractor and basin entropies of random boolean networks under asynchronous stochastic update
    • article
    • A. Shreim, A. Berdahl, F. Greil, J. Davidsen, and M. Paczuski, "Attractor and Basin Entropies of Random Boolean Networks under Asynchronous Stochastic Update," Physical Rev. E, vol. 82, article 035102, 2010.
    • (2010) Physical Rev. e , vol.82 , pp. 035102
    • Shreim, A.1    Berdahl, A.2    Greil, F.3    Davidsen, J.4    Paczuski, M.5
  • 17
    • 79959799569 scopus 로고    scopus 로고
    • Finding attractors in asynchronous boolean dynamics
    • T. Skodawessely and K. Klemm, "Finding Attractors in Asynchronous Boolean Dynamics," Advances in Complex Systems, vol. 14, pp. 439-449, 2011.
    • (2011) Advances in Complex Systems , vol.14 , pp. 439-449
    • Skodawessely, T.1    Klemm, K.2
  • 19
    • 27144548324 scopus 로고    scopus 로고
    • Dynamics of critical kauffman networks under asynchronous stochastic update
    • article
    • F. Greil and B. Drossel, "Dynamics of Critical Kauffman Networks under Asynchronous Stochastic Update," Physical Rev. Letters, vol. 95, article 048701, 2005.
    • (2005) Physical Rev. Letters , vol.95 , pp. 048701
    • Greil, F.1    Drossel, B.2
  • 20
    • 33846847652 scopus 로고    scopus 로고
    • Dynamics of asynchronous random Boolean networks with asynchrony generated by stochastic processes
    • DOI 10.1016/j.biosystems.2006.04.002, PII S0303264706000839
    • X.T. Deng, H.M. Geng, and M.T. Matache, "Dynamics of Asynchronous Random Boolean Networks with Asynchrony Generated by Stochastic Processes," Biosystems, vol. 88, pp. 16-34, 2007. (Pubitemid 46215836)
    • (2007) BioSystems , vol.88 , Issue.1-2 , pp. 16-34
    • Deng, X.1    Geng, H.2    Matache, M.T.3
  • 21
    • 35448944699 scopus 로고    scopus 로고
    • Critical kauffman networks under deterministic asynchronous update
    • article
    • F. Greil, B. Drossel, and J. Sattler, "Critical Kauffman Networks under Deterministic Asynchronous Update," New J. Physics, vol. 9, article 373, 2007.
    • (2007) New J. Physics , vol.9 , pp. 373
    • Greil, F.1    Drossel, B.2    Sattler, J.3
  • 24
    • 84878362183 scopus 로고    scopus 로고
    • A high-level petri net framework for multi-valued genetic regulatory networks
    • article
    • R. Banks and L.J. Steggles, "A High-Level Petri Net Framework for Multi-Valued Genetic Regulatory Networks," J. Integrative Bioinformatics, vol. 4, article 60, 2007.
    • (2007) J. Integrative Bioinformatics , vol.4 , pp. 60
    • Banks, R.1    Steggles, L.J.2
  • 26
    • 77955333667 scopus 로고    scopus 로고
    • Finding attractors in synchronous multiple-valued networks using SAT-based bounded model checking
    • E. Dubrova, M. Teslenko, and M. Liu, "Finding Attractors in Synchronous Multiple-Valued Networks Using SAT-based Bounded Model Checking," Proc. IEEE 40th Int'l Symp. Multiple-Valued Logic, pp. 144-149, 2010.
    • (2010) Proc. IEEE 40th Int'l Symp. Multiple-Valued Logic , pp. 144-149
    • Dubrova, E.1    Teslenko, M.2    Liu, M.3
  • 30
    • 67349272281 scopus 로고    scopus 로고
    • Controllability and observability of boolean control networks
    • D. Cheng and H. Qi, "Controllability and Observability of Boolean Control Networks," Automatica, vol. 45, pp. 1659-1667, 2009.
    • (2009) Automatica , vol.45 , pp. 1659-1667
    • Cheng, D.1    Qi, H.2
  • 31
    • 79958009737 scopus 로고    scopus 로고
    • Observability of boolean control networks with state time delays
    • June
    • F.F. Li, J.T. Sun, and Q. Wu, "Observability of Boolean Control Networks with State Time Delays," IEEE Trans. Neural Networks, vol. 22, no. 6, pp. 948-954, June 2011.
    • (2011) IEEE Trans. Neural Networks , vol.22 , Issue.6 , pp. 948-954
    • Li, F.F.1    Sun, J.T.2    Wu, Q.3
  • 32
    • 81155155491 scopus 로고    scopus 로고
    • Controllability of probabilistic boolean control networks
    • F.F. Li and J.T. Sun, "Controllability of Probabilistic Boolean Control Networks," Automatica, vol. 47, pp. 2765-2771, 2011.
    • (2011) Automatica , vol.47 , pp. 2765-2771
    • Li, F.F.1    Sun, J.T.2
  • 34
    • 7444271681 scopus 로고    scopus 로고
    • Contextual random boolean networks
    • Advances in Artificial Life
    • C. Gershenson, J. Broekaert, and D. Aerts, "Contextual Random Boolean Networks," Proc. Seventh European Conf. Advances in Artificial Life, pp. 615-624, 2003. (Pubitemid 37170939)
    • (2003) Lecture Notes In Computer Science , Issue.2801 , pp. 615-624
    • Gershenson, C.1    Broekaert, J.2    Aerts, D.3
  • 35
    • 2442510008 scopus 로고    scopus 로고
    • Scalar equations for synchronous boolean networks with biological applications
    • Mar.
    • C. Farrow, J. Heidel, J. Maloney, and J. Rogers, "Scalar Equations for Synchronous Boolean Networks with Biological Applications," IEEE Trans. Neural Networks, vol. 15, no. 2, pp. 348-354, Mar. 2004.
    • (2004) IEEE Trans. Neural Networks , vol.15 , Issue.2 , pp. 348-354
    • Farrow, C.1    Heidel, J.2    Maloney, J.3    Rogers, J.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.