메뉴 건너뛰기




Volumn 504, Issue , 2013, Pages 12-25

About non-monotony in Boolean automata networks

Author keywords

Boolean automata networks; Discrete dynamical systems; Dynamical behaviours; Non monotony

Indexed keywords

BOOLEAN AUTOMATA NETWORKS; DISCRETE DYNAMICAL SYSTEMS; DISCRETE MODELS; DYNAMICAL BEHAVIOURS; MODELLING PROCESS; NON-MONOTONY; REGULATION NETWORKS; THEORETICAL STUDY;

EID: 84885181319     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tcs.2012.05.034     Document Type: Article
Times cited : (20)

References (64)
  • 1
    • 51249194645 scopus 로고
    • A logical calculus of the ideas immanent in nervous activity
    • W.S. McCulloch, and W. Pitts A logical calculus of the ideas immanent in nervous activity Journal of Mathematical Biophysics 5 1943 115 133
    • (1943) Journal of Mathematical Biophysics , vol.5 , pp. 115-133
    • McCulloch, W.S.1    Pitts, W.2
  • 2
    • 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 1969 437 467
    • (1969) Journal of Theoretical Biology , vol.22 , pp. 437-467
    • Kauffman, S.A.1
  • 3
    • 0014671878 scopus 로고
    • Homeostasis and differentiation in random genetic control networks
    • S.A. Kauffman Homeostasis and differentiation in random genetic control networks Nature 224 1969 177 178
    • (1969) Nature , vol.224 , pp. 177-178
    • Kauffman, S.A.1
  • 4
    • 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 Proceedings of the National Academy of Sciences of the USA 79 1982 2554 2558
    • (1982) Proceedings of the National Academy of Sciences of the USA , vol.79 , pp. 2554-2558
    • Hopfield, J.J.1
  • 5
    • 0004469897 scopus 로고
    • Neurons with graded response have collective computational properties like those of two-state neurons
    • J.J. Hopfield Neurons with graded response have collective computational properties like those of two-state neurons Proceedings of the National Academy of Sciences of the USA 81 1984 3088 3092
    • (1984) Proceedings of the National Academy of Sciences of the USA , vol.81 , pp. 3088-3092
    • Hopfield, J.J.1
  • 6
    • 0015171596 scopus 로고
    • Elsevier pp. 145-181 (Chapter Gene regulation networks: a theory for their global structures and behaviors)
    • S.A. Kauffman Current Topics in Developmental Biology, Vol. 6 1971 Elsevier pp. 145-181 (Chapter Gene regulation networks: a theory for their global structures and behaviors)
    • (1971) Current Topics in Developmental Biology, Vol. 6
    • Kauffman, S.A.1
  • 8
    • 54249116230 scopus 로고
    • Genetic regulatory mechanisms in the synthesis of proteins
    • F. Jacob, and J. Monod Genetic regulatory mechanisms in the synthesis of proteins Journal of Molecular Biology 3 1961 318 356
    • (1961) Journal of Molecular Biology , vol.3 , pp. 318-356
    • Jacob, F.1    Monod, J.2
  • 10
    • 0015823097 scopus 로고
    • Boolean formalisation of genetic control circuits
    • R. Thomas Boolean formalisation of genetic control circuits Journal of Theoretical Biology 42 1973 563 585
    • (1973) Journal of Theoretical Biology , vol.42 , pp. 563-585
    • Thomas, R.1
  • 11
    • 0000915688 scopus 로고
    • On the relation between the logical structure of systems and their ability to generate multiple steady states or sustained oscillations
    • Springer Series in Synergetics Springer
    • R. Thomas On the relation between the logical structure of systems and their ability to generate multiple steady states or sustained oscillations Numerical Methods in the Study of Critical Phenomena Springer Series in Synergetics vol. 9 1981 Springer 180 193
    • (1981) Numerical Methods in the Study of Critical Phenomena , vol.9 VOL. , pp. 180-193
    • Thomas, R.1
  • 12
    • 0025948178 scopus 로고
    • Regulatory networks seen as asynchronous automata: A logical description
    • R. Thomas Regulatory networks seen as asynchronous automata: a logical description Journal of Theoretical Biology 153 1991 1 23
    • (1991) Journal of Theoretical Biology , vol.153 , pp. 1-23
    • Thomas, R.1
  • 13
    • 0242679881 scopus 로고
    • On the computational complexity of analyzing Hopfield nets
    • P. Floréen, and P. Orponen On the computational complexity of analyzing Hopfield nets Complex Systems 3 1989 577 587
    • (1989) Complex Systems , vol.3 , pp. 577-587
    • Floréen, P.1    Orponen, P.2
  • 14
    • 0041303312 scopus 로고
    • Complexity issues in neural network computations
    • Lecture Notes in Computer Science Springer
    • M. Cosnard, P. Koiran, and H. Paugam-Moisy Complexity issues in neural network computations Proceedings of LATIN Lecture Notes in Computer Science vol. 583 1992 Springer 530 544
    • (1992) Proceedings of LATIN , vol.583 VOL. , pp. 530-544
    • Cosnard, M.1    Koiran, P.2    Paugam-Moisy, H.3
  • 15
    • 84885179282 scopus 로고    scopus 로고
    • P. Koiran, Puissance de calcul des réseaux de neurones artificiels, Ph.D. Thesis, École normale supérieure de Lyon, 1993.
    • P. Koiran, Puissance de calcul des réseaux de neurones artificiels, Ph.D. Thesis, École normale supérieure de Lyon, 1993.
  • 16
    • 0031099586 scopus 로고    scopus 로고
    • Computing with truly asynchronous threshold logic networks
    • P. Orponen Computing with truly asynchronous threshold logic networks Theoretical Computer Science 174 1997 123 136
    • (1997) Theoretical Computer Science , vol.174 , pp. 123-136
    • Orponen, P.1
  • 18
    • 0003879508 scopus 로고
    • Springer Series in Computational Mathematics Springer
    • F. Robert Discrete Iterations: A Metric Study Springer Series in Computational Mathematics vol. 6 1986 Springer
    • (1986) Discrete Iterations: A Metric Study , vol.6 VOL.
    • Robert, F.1
  • 19
    • 0042907617 scopus 로고
    • Comportement périodique des fonctions à seuil binaires et applications
    • E. Goles, and J. Olivos Comportement périodique des fonctions à seuil binaires et applications Discrete Applied Mathematics 3 1981 93 105
    • (1981) Discrete Applied Mathematics , vol.3 , pp. 93-105
    • Goles, E.1    Olivos, J.2
  • 20
    • 0003990761 scopus 로고
    • Neural and automata networks: Dynamical behaviour and applications
    • Kluwer Academic Publishers
    • E. Goles Neural and automata networks: dynamical behaviour and applications Mathematics and its Applications 1990 Kluwer Academic Publishers
    • (1990) Mathematics and Its Applications
    • Goles, E.1
  • 21
    • 1642586056 scopus 로고    scopus 로고
    • Fixed points and maximal independent sets in and-or networks
    • J. Aracena, J. Demongeot, and E. Goles Fixed points and maximal independent sets in and-or networks Discrete Applied Mathematics 138 2004 277 288
    • (2004) Discrete Applied Mathematics , vol.138 , pp. 277-288
    • Aracena, J.1    Demongeot, J.2    Goles, E.3
  • 22
    • 3843066620 scopus 로고    scopus 로고
    • On limit cycles of monotone functions with symmetric connection graph
    • J. Aracena, J. Demongeot, and E. Goles On limit cycles of monotone functions with symmetric connection graph Theoretical Computer Science 322 2004 237 244
    • (2004) Theoretical Computer Science , vol.322 , pp. 237-244
    • Aracena, J.1    Demongeot, J.2    Goles, E.3
  • 23
    • 49549085003 scopus 로고    scopus 로고
    • Graphic requirements for multistability and attractive cycles in a Boolean dynamical framework
    • É Remy, P. Ruet, and D. Thieffry Graphic requirements for multistability and attractive cycles in a Boolean dynamical framework Advances in Applied Mathematics 41 2008 335 350
    • (2008) Advances in Applied Mathematics , vol.41 , pp. 335-350
    • Remy, É.1    Ruet, P.2    Thieffry, D.3
  • 24
    • 77957845745 scopus 로고    scopus 로고
    • Attraction basins as gauges of robustness against boundary conditions in biological complex systems
    • J. Demongeot, E. Goles, M. Morvan, M. Noual, and S. Sené Attraction basins as gauges of robustness against boundary conditions in biological complex systems PLoS One 5 2010 e11793
    • (2010) PLoS One , vol.5 , pp. 11793
    • Demongeot, J.1    Goles, E.2    Morvan, M.3    Noual, M.4    Sené, S.5
  • 26
    • 79955631458 scopus 로고    scopus 로고
    • Local negative circuits and fixed points in non-expansive Boolean networks
    • A. Richard Local negative circuits and fixed points in non-expansive Boolean networks Discrete Applied Mathematics 159 2011 1085 1093
    • (2011) Discrete Applied Mathematics , vol.159 , pp. 1085-1093
    • Richard, A.1
  • 28
    • 0030616305 scopus 로고    scopus 로고
    • Discrete state neural networks and energies
    • M. Cosnard, and E. Goles Discrete state neural networks and energies Neural Networks 10 1997 327 334
    • (1997) Neural Networks , vol.10 , pp. 327-334
    • Cosnard, M.1    Goles, E.2
  • 29
    • 24744457753 scopus 로고    scopus 로고
    • A description of dynamical graphs associated to elementary regulatory circuits
    • É Remy, B. Mossé, C. Chaouiya, and D. Thieffry A description of dynamical graphs associated to elementary regulatory circuits Bioinformatics 19 2003 ii172 ii178
    • (2003) Bioinformatics , vol.19
    • Remy, É.1    Mossé, B.2    Chaouiya, C.3    Thieffry, D.4
  • 30
    • 35048889119 scopus 로고    scopus 로고
    • Qualitative modelling of genetic networks: From logical regulatory graphs to standard Petri nets
    • Lecture Notes in Computer Science Springer
    • C. Chaouiya, É Remy, P. Ruet, and D. Thieffry Qualitative modelling of genetic networks: from logical regulatory graphs to standard Petri nets Proceedings of Petri Nets Lecture Notes in Computer Science vol. 3099 2004 Springer 137 156
    • (2004) Proceedings of Petri Nets , vol.3099 VOL. , pp. 137-156
    • Chaouiya, C.1    Remy, É.2    Ruet, P.3    Thieffry, D.4
  • 33
    • 0032555224 scopus 로고    scopus 로고
    • Dynamics of the genetic regulatory network for Arabidopsis thaliana flower morphogenesis
    • L. Mendoza, and E.R. Alvarez-Buylla Dynamics of the genetic regulatory network for Arabidopsis thaliana flower morphogenesis Journal of Theoretical Biology 193 2 1998 307 319
    • (1998) Journal of Theoretical Biology , vol.193 , Issue.2 , pp. 307-319
    • Mendoza, L.1    Alvarez-Buylla, E.R.2
  • 34
    • 0032879544 scopus 로고    scopus 로고
    • Genetic control of flower morphogenesis in Arabidopsis thaliana: A logical analysis
    • L. Mendoza, D. Thieffry, and E. Alvarez-Buylla Genetic control of flower morphogenesis in Arabidopsis thaliana: a logical analysis Bioinformatics 15 1999 593 606
    • (1999) Bioinformatics , vol.15 , pp. 593-606
    • Mendoza, L.1    Thieffry, D.2    Alvarez-Buylla, E.3
  • 37
    • 78149362061 scopus 로고    scopus 로고
    • A robust model to describe the differentiation of T-helper cells
    • L. Mendoza, and F. Pardon A robust model to describe the differentiation of T-helper cells Theory in Biosciences 129 2010 283 293
    • (2010) Theory in Biosciences , vol.129 , pp. 283-293
    • Mendoza, L.1    Pardon, F.2
  • 38
    • 0015000192 scopus 로고
    • Linear analysis of switching nets
    • P. Cull Linear analysis of switching nets Biological Cybernetics 8 1971 31 39
    • (1971) Biological Cybernetics , vol.8 , pp. 31-39
    • Cull, P.1
  • 39
    • 84885186578 scopus 로고
    • Academic Press (Chapter The synthesis of linear sequential coding networks)
    • D.A. Huffman Information Theory 1956 Academic Press (Chapter The synthesis of linear sequential coding networks)
    • (1956) Information Theory
    • Huffman, D.A.1
  • 40
    • 0002665177 scopus 로고
    • The theory of autonomous linear sequential networks
    • B. Elspas The theory of autonomous linear sequential networks IRE Transactions on Circuit Theory 6 1959 45 60
    • (1959) IRE Transactions on Circuit Theory , vol.6 , pp. 45-60
    • Elspas, B.1
  • 41
    • 84885190210 scopus 로고    scopus 로고
    • E.H. Snoussi, Structure et comportement itératif de certains modèles discrets, Ph.D. Thesis, Université Grenoble 1-Joseph Fourier, 1980.
    • E.H. Snoussi, Structure et comportement itératif de certains modèles discrets, Ph.D. Thesis, Université Grenoble 1-Joseph Fourier, 1980.
  • 42
    • 84928818524 scopus 로고
    • Lecture Notes in Computer Science Springer
    • C. Choffrut Automata Networks Lecture Notes in Computer Science vol. 316 1988 Springer
    • (1988) Automata Networks , vol.316 VOL.
    • Choffrut, C.1
  • 43
    • 84885190002 scopus 로고    scopus 로고
    • M. Noual, General transition graphs and Boolean automata circuits, Tech. rep., École normale supérieure de Lyon, hal-00452025, 2010.
    • M. Noual, General transition graphs and Boolean automata circuits, Tech. rep., École normale supérieure de Lyon, hal-00452025, 2010.
  • 44
    • 84885172785 scopus 로고    scopus 로고
    • M. Noual, Synchronism vs asynchronism in Boolean networks, Tech. rep., École normale supérieure de Lyon, 2011.
    • M. Noual, Synchronism vs asynchronism in Boolean networks, Tech. rep., École normale supérieure de Lyon, 2011. arXiv:1104.4039.
  • 45
    • 84885181202 scopus 로고    scopus 로고
    • M. Noual, S. Sené, Towards a theory of modelling with Boolean automata networks - I. Theorisation and observations, Tech. rep., École normale supérieure de Lyon and Université d'Évry-Val d'Essonne, 2011.
    • M. Noual, S. Sené, Towards a theory of modelling with Boolean automata networks - I. Theorisation and observations, Tech. rep., École normale supérieure de Lyon and Université d'Évry-Val d'Essonne, 2011 arXiv:1111.2077.
  • 46
    • 24044438215 scopus 로고    scopus 로고
    • Modeling of biological regulatory networks: Introduction of singular states in the qualitative dynamics
    • A. Richard, J.-P. Comet, G. Bernot, and R. Thomas' modeling of biological regulatory networks: introduction of singular states in the qualitative dynamics Fundamenta Informaticae 65 2004 373 392
    • (2004) Fundamenta Informaticae , vol.65 , pp. 373-392
    • Richard, A.1    Comet, J.-P.2    Bernot, G.3    Thomas'R4
  • 47
    • 35448971021 scopus 로고    scopus 로고
    • Necessary conditions for multistationarity in discrete dynamical systems
    • A. Richard, and J.-P. Comet Necessary conditions for multistationarity in discrete dynamical systems Discrete Applied Mathematics 155 2007 2403 2413
    • (2007) Discrete Applied Mathematics , vol.155 , pp. 2403-2413
    • Richard, A.1    Comet, J.-P.2
  • 48
    • 44949258866 scopus 로고    scopus 로고
    • Robustness in regulatory networks: A multi-disciplinary approach
    • J. Demongeot, A. Elena, and S. Sené Robustness in regulatory networks: a multi-disciplinary approach Acta Biotheoretica 56 2008 27 49
    • (2008) Acta Biotheoretica , vol.56 , pp. 27-49
    • Demongeot, J.1    Elena, A.2    Sené, S.3
  • 49
    • 53149120621 scopus 로고    scopus 로고
    • Interaction motifs in regulatory networks and structural robustness
    • IEEE
    • A. Elena, and J. Demongeot Interaction motifs in regulatory networks and structural robustness Proceedings of CISIS 2008 IEEE 682 686
    • (2008) Proceedings of CISIS , pp. 682-686
    • Elena, A.1    Demongeot, J.2
  • 50
    • 67349104185 scopus 로고    scopus 로고
    • On the robustness of update schedules in Boolean networks
    • J. Aracena, E. Goles, A. Moreira, and L. Salinas On the robustness of update schedules in Boolean networks Biosystems 97 2009 1 8
    • (2009) Biosystems , vol.97 , pp. 1-8
    • Aracena, J.1    Goles, E.2    Moreira, A.3    Salinas, L.4
  • 52
    • 84885186201 scopus 로고    scopus 로고
    • E. Goles, M. Noual, Block-sequential update schedules and Boolean automata circuits, in: Proceedings of Automata 2010, DMTCS, 2010, pp. 41-50.
    • E. Goles, M. Noual, Block-sequential update schedules and Boolean automata circuits, in: Proceedings of Automata 2010, DMTCS, 2010, pp. 41-50.
  • 53
    • 84860430076 scopus 로고    scopus 로고
    • E. Goles, M. Noual, Disjunctive Networks and Update Schedules, in: Advances in Applied Mathematics, vol. 48, pp. 646-662.
    • E. Goles, M. Noual, Disjunctive Networks and Update Schedules, in: Advances in Applied Mathematics, vol. 48, pp. 646-662.
  • 54
    • 33644907676 scopus 로고
    • Les systèmes dynamiques discrets
    • Springer
    • F. Robert Les systèmes dynamiques discrets Mathématiques & Applications vol. 19 1995 Springer
    • (1995) Mathématiques & Applications , vol.19 VOL.
    • Robert, F.1
  • 55
    • 42249103439 scopus 로고    scopus 로고
    • Comparison between parallel and serial dynamics of Boolean networks
    • E. Goles, and L. Salinas Comparison between parallel and serial dynamics of Boolean networks Theoretical Computer Science 396 2008 247 253
    • (2008) Theoretical Computer Science , vol.396 , pp. 247-253
    • Goles, E.1    Salinas, L.2
  • 56
    • 6044239898 scopus 로고
    • Lysogenicity in Escherichia coli strain K-12
    • E.M. Lederberg Lysogenicity in Escherichia coli strain K-12 Microbial Genetics Bulletin 1 1950 5 9
    • (1950) Microbial Genetics Bulletin , vol.1 , pp. 5-9
    • Lederberg, E.M.1
  • 58
    • 0029267492 scopus 로고
    • Dynamical behaviour of biological regulatory networks-II. Immunity control in bacteriophage lambda
    • D. Thieffry, and R. Thomas Dynamical behaviour of biological regulatory networks-II. Immunity control in bacteriophage lambda Bulletin of Mathematical Biology 57 1995 277 297
    • (1995) Bulletin of Mathematical Biology , vol.57 , pp. 277-297
    • Thieffry, D.1    Thomas, R.2
  • 59
    • 84885177552 scopus 로고    scopus 로고
    • F. Delaplace, H. Klaudel, T. Melliti, S. Sené, Modular organisation of interaction networks based on asymptotic dynamics, Tech. rep., Université d'Évry-Val d'Essonne, 2011.
    • F. Delaplace, H. Klaudel, T. Melliti, S. Sené, Modular organisation of interaction networks based on asymptotic dynamics, Tech. rep., Université d'Évry-Val d'Essonne, 2011 arXiv:1111.2313.
  • 62
    • 13844304634 scopus 로고    scopus 로고
    • Modular decomposition of protein-protein interaction networks
    • J. Gagneur, R. Krause, and T. Bouwmeester Modular decomposition of protein-protein interaction networks Genome Biology 5 2004 R57
    • (2004) Genome Biology , vol.5 , pp. 57
    • Gagneur, J.1    Krause, R.2    Bouwmeester, T.3
  • 63
    • 77249139135 scopus 로고    scopus 로고
    • Negative circuits and sustained oscillations in asynchronous automata networks
    • A. Richard Negative circuits and sustained oscillations in asynchronous automata networks Advances in Applied Mathematics 44 2010 378 392
    • (2010) Advances in Applied Mathematics , vol.44 , pp. 378-392
    • Richard, A.1
  • 64
    • 31844451923 scopus 로고    scopus 로고
    • Linear finite dynamical systems
    • R.A.H. Toledo Linear finite dynamical systems Communications in Algebra 33 2005 2977 2989
    • (2005) Communications in Algebra , vol.33 , pp. 2977-2989
    • Toledo, R.A.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.