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Volumn 153, Issue 4, 2006, Pages 140-153

Circular causality

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL MODELS; MATRIX ALGEBRA; ORDINARY DIFFERENTIAL EQUATIONS;

EID: 33746621772     PISSN: 17412471     EISSN: None     Source Type: Journal    
DOI: 10.1049/ip-syb:20050101     Document Type: Article
Times cited : (13)

References (51)
  • 1
    • 0000042464 scopus 로고
    • 'Transplantation of living nuclei from blastula cells into enucleated frog's eggs'
    • 0027-8424
    • Briggs, R., and King, T.J.: 'Transplantation of living nuclei from blastula cells into enucleated frog's eggs', Proc. Natl. Acad. Sci. USA, 1952, 38, p. 455-463 0027-8424
    • (1952) Proc. Natl. Acad. Sci. USA , vol.38 , pp. 455-463
    • Briggs, R.1    King, T.J.2
  • 2
    • 0000331391 scopus 로고
    • 'Adult frogs derived from nuclei of single somatic cells'
    • Gurdon, J.B.: 'Adult frogs derived from nuclei of single somatic cells', Dev. Biol., 1962, 4, p. 256-73
    • (1962) Dev. Biol. , vol.4 , pp. 256-273
    • Gurdon, J.B.1
  • 5
    • 0001389945 scopus 로고
    • 'Enzyme induction as an all-or-none phenomenon'
    • 0027-8424
    • Novick, A., and Weiner, M.: 'Enzyme induction as an all-or-none phenomenon', Proc. Natl. Acad. Sci. USA, 1957, 43, p. 553-566 0027-8424
    • (1957) Proc. Natl. Acad. Sci. USA , vol.43 , pp. 553-566
    • Novick, A.1    Weiner, M.2
  • 6
    • 0000344275 scopus 로고
    • 'Inhibition by glucose of the induced synthesis of the beta-galactoside-enzyme system of Escherichia coli. Analysis of maintenance'
    • Cohn, M., and Horibata, K.: 'Inhibition by glucose of the induced synthesis of the beta-galactoside-enzyme system of Escherichia coli. Analysis of maintenance', J. Bacteriol., 1959, 78, p. 601-612
    • (1959) J. Bacteriol. , vol.78 , pp. 601-612
    • Cohn, M.1    Horibata, K.2
  • 7
    • 0000545989 scopus 로고
    • 'Analysis of the differentiation and of the heterogeneity within a population of Escherichia coli undergoing induced beta-galactosidase synthesis'
    • Cohn, M., and Horibata, K.: 'Analysis of the differentiation and of the heterogeneity within a population of Escherichia coli undergoing induced beta-galactosidase synthesis', J. Bacteriol., 1959, 78, p. 613-623
    • (1959) J. Bacteriol. , vol.78 , pp. 613-623
    • Cohn, M.1    Horibata, K.2
  • 8
    • 0000103024 scopus 로고    scopus 로고
    • 'Physiology of the inhibition by glucose of the induced synthesis of the beta-galactoside-enzyme system of Escherichia coli'
    • Cohn, M., and Horibata, K.: 'Physiology of the inhibition by glucose of the induced synthesis of the beta-galactoside-enzyme system of Escherichia coli', J. Bacteriol., 78, p. 624-635
    • J. Bacteriol. , vol.78 , pp. 624-635
    • Cohn, M.1    Horibata, K.2
  • 9
    • 36749108213 scopus 로고
    • 'Classification of instabilities in chemical reaction systems'
    • 0301-0104
    • Tyson, J.: 'Classification of instabilities in chemical reaction systems', Chem. Phys., 1975, 62, p. 1010-1015 0301-0104
    • (1975) Chem. Phys. , vol.62 , pp. 1010-1015
    • Tyson, J.1
  • 10
    • 0009890338 scopus 로고
    • 'On conditions for qualitative instability of regulatory circuits with application to immunological loops'
    • (Elsevier Science Publishers, B.V., North-Holland)
    • Eisenfeld, J., DeLisi, C., Eisenfeld, J., DeLisi, C., 'On conditions for qualitative instability of regulatory circuits with application to immunological loops', Mathematics and computers in medical applications, (Elsevier Science Publishers, B.V., North-Holland 1985), p. 39-53
    • (1985) Mathematics and Computers in Medical Applications , pp. 39-53
    • Eisenfeld, J.1    DeLisi, C.2    Eisenfeld, J.3    DeLisi, C.4
  • 11
    • 0028495398 scopus 로고
    • 'Positive feedback circuits are a necessary condition for positive eigenvalues of the Jacobian matrix'
    • Thomas, R.: 'Positive feedback circuits are a necessary condition for positive eigenvalues of the Jacobian matrix', Ber. Bungenses. Phys. Chem., 1994, 98, p. 1148-1151
    • (1994) Ber. Bungenses. Phys. Chem. , vol.98 , pp. 1148-1151
    • Thomas, R.1
  • 12
    • 0001549388 scopus 로고
    • 'Feedback loops, stability and multistationarity in dynamical systems'
    • Plahte, E., Mestl, T., and Omholt, S.W.: 'Feedback loops, stability and multistationarity in dynamical systems', J. Biol. Syst., 1995, 3, p. 409-413
    • (1995) J. Biol. Syst. , vol.3 , pp. 409-413
    • Plahte, E.1    Mestl, T.2    Omholt, S.W.3
  • 13
    • 29244491696 scopus 로고    scopus 로고
    • 'Frontier diagrams: Partition of phase space according to the signs of the eigenvalues or to the sign pattern of the circuits'
    • Thomas, R., and Kaufman, M.: 'Frontier diagrams: Partition of phase space according to the signs of the eigenvalues or to the sign pattern of the circuits', Int. J. Bifurcation Chaos, 2005, 15, (10), p. 1-24
    • (2005) Int. J. Bifurcation Chaos , vol.15 , Issue.10 , pp. 1-24
    • Thomas, R.1    Kaufman, M.2
  • 14
    • 73049167504 scopus 로고
    • 'General conclusions: Teleonomic mechanisms in cellular metabolism, growth and differentiation'
    • Monod, J., and JTcob, F.: 'General conclusions: teleonomic mechanisms in cellular metabolism, growth and differentiation', Cold Spring Harbor Symp. Quant. Biol., 1961, 26, p. 389-401
    • (1961) Cold Spring Harbor Symp. Quant. Biol. , vol.26 , pp. 389-401
    • Monod, J.1    Jacob, F.2
  • 15
    • 0015937446 scopus 로고
    • 'Control circuits for determination and transdetermination'
    • 0036-8075
    • Kauffman, S.A.: 'Control circuits for determination and transdetermination', Science, 1973, 181, p. 310-318 0036-8075
    • (1973) Science , vol.181 , pp. 310-318
    • Kauffman, S.A.1
  • 16
    • 0014236271 scopus 로고
    • 'Recent developments in the theory of control and regulation of cellular processes'
    • Rosen, R.: 'Recent developments in the theory of control and regulation of cellular processes', Int. Rev. Cytol., 1968, 23, p. 25-88
    • (1968) Int. Rev. Cytol. , vol.23 , pp. 25-88
    • Rosen, R.1
  • 17
    • 0000915688 scopus 로고
    • 'On the relation between the logical structure of systems and their ability to generate multiple steady states or sustained oscillations'
    • Thomas, R.: 'On the relation between the logical structure of systems and their ability to generate multiple steady states or sustained oscillations', Springer Series in Synergetics, 1981, 9, p. 180-193
    • (1981) Springer Series in Synergetics , vol.9 , pp. 180-193
    • Thomas, R.1
  • 18
    • 0001923376 scopus 로고    scopus 로고
    • 'Necessary conditions for multistationarity and stable periodicity'
    • Snoussi, E.H.: 'Necessary conditions for multistationarity and stable periodicity', J. Biol. Syst., 1998, 6, p. 3-9
    • (1998) J. Biol. Syst. , vol.6 , pp. 3-9
    • Snoussi, E.H.1
  • 19
    • 0002194865 scopus 로고    scopus 로고
    • 'Positive and negative circuits in dynamical systems'
    • Gouzé, J.-L.: 'Positive and negative circuits in dynamical systems', J. Biol. Syst., 1998, 6, p. 11-15
    • (1998) J. Biol. Syst. , vol.6 , pp. 11-15
    • Gouzé, J.-L.1
  • 20
    • 0036306859 scopus 로고    scopus 로고
    • 'Positive and negative feedback: Striking a balance between necessary antagonists'
    • Cinquin, O., and Demongeot, J.: 'Positive and negative feedback: striking a balance between necessary antagonists', J. Theor. Biol., 2000, 216, p. 229-241
    • (2000) J. Theor. Biol. , vol.216 , pp. 229-241
    • Cinquin, O.1    Demongeot, J.2
  • 21
    • 33746637208 scopus 로고    scopus 로고
    • 'Computational analysis of developmental regulatory networks'
    • Remy, E., Ruet, P., and Thieffry, D.: 'Computational analysis of developmental regulatory networks', http://iml.univ-mrs.fr/editions/preprint2005/preprint2005.html
    • Remy, E.1    Ruet, P.2    Thieffry, D.3
  • 22
    • 7744230024 scopus 로고    scopus 로고
    • 'Graphic requirements for multistationarity'
    • Soulé, C.: 'Graphic requirements for multistationarity', ComPlexUs, 2003, 1, p. 123-133
    • (2003) ComPlexUs , vol.1 , pp. 123-133
    • Soulé, C.1
  • 23
    • 0038748340 scopus 로고    scopus 로고
    • 'Emergence of complex behaviour from simple circuit structures'
    • Kaufman, M., and Thomas, R.: 'Emergence of complex behaviour from simple circuit structures', C.R. Biologies, 2003, 326, p. 205-214
    • (2003) C.R. Biologies , vol.326 , pp. 205-214
    • Kaufman, M.1    Thomas, R.2
  • 24
    • 33746604836 scopus 로고    scopus 로고
    • 'A new necessary condition on interaction graphs for multistationarity'
    • in preparation
    • Kaufman, M., Soulé, C., and Thomas, R.: 'A new necessary condition on interaction graphs for multistationarity', in preparation
    • Kaufman, M.1    Soulé, C.2    Thomas, R.3
  • 25
    • 29244478545 scopus 로고    scopus 로고
    • 'Feedback loops analysis for chaotic dynamics with an application to Lorenz system'
    • Tony, B., Thieffry, D., and Bulajich, R.: 'Feedback loops analysis for chaotic dynamics with an application to Lorenz system', Fields Inst. Commun., 1999, 21, p. 473-483
    • (1999) Fields Inst. Commun. , vol.21 , pp. 473-483
    • Tony, B.1    Thieffry, D.2    Bulajich, R.3
  • 26
    • 54249116230 scopus 로고
    • 'Genetic regulatory mechanisms in the synthesis of proteins'
    • Jacob, F., and Monod, J.: 'Genetic regulatory mechanisms in the synthesis of proteins', J. Mol. Biol., 1961, 3, p. 318-356
    • (1961) J. Mol. Biol. , vol.3 , pp. 318-356
    • Jacob, F.1    Monod, J.2
  • 28
    • 0018168876 scopus 로고
    • 'Stable oscillations in mathematical models of biological control systems'
    • Glass, L., and Pasternack, J.S.: 'Stable oscillations in mathematical models of biological control systems', J. Math. Biology, 1978, 6, p. 207-223
    • (1978) J. Math. Biology , vol.6 , pp. 207-223
    • Glass, L.1    Pasternack, J.S.2
  • 29
    • 0036207347 scopus 로고    scopus 로고
    • 'Modelling and simulation of genetic regulatory systems: A literature review'
    • de Jong, H.: 'Modelling and simulation of genetic rAgulatory systems: a literature review', J. Comput. Biol., 2000, 9, (1), p. 67-103
    • (2000) J. Comput. Biol. , vol.9 , Issue.1 , pp. 67-103
    • de Jong, H.1
  • 31
    • 0000735662 scopus 로고
    • 'Functional analysis of chemical systems in vivo using a logical circuit equivalent'
    • Sugita, M.: 'Functional analysis of chemical systems in vivo using a logical circuit equivalent', J. Theor. Biol., 1961, 1, p. 415-430
    • (1961) J. Theor. Biol. , vol.1 , pp. 415-430
    • Sugita, M.1
  • 32
    • 0014489272 scopus 로고
    • 'Metabolic stability and epigenesis in randomly constructed genetic nets'
    • Kauffman, S.A.: 'Metabolic stability and epigenesis in randomly constructed genetic nets', J. Theoret. Biol., 1969, 22, p. 437-467
    • (1969) J. Theoret. Biol. , vol.22 , pp. 437-467
    • Kauffman, S.A.1
  • 33
    • 0015823097 scopus 로고
    • 'Boolean formalisation of genetic control circuits'
    • Thomas, R.: 'Boolean formalisation of genetic control circuits', J. Theor. Biol., 1973, 42, p. 565-583
    • (1973) J. Theor. Biol. , vol.42 , pp. 565-583
    • Thomas, R.1
  • 34
    • 0024916497 scopus 로고
    • 'Qualitative dynamics of piece-linear differential equations: A discrete mapping approach'
    • 0268-1110
    • Snoussi, E.H.: 'Qualitative dynamics of piece-linear differential equations: A discrete mapping approach', Dyn. Stab. Syst., 1989, 4, p. 189-207 0268-1110
    • (1989) Dyn. Stab. Syst. , vol.4 , pp. 189-207
    • Snoussi, E.H.1
  • 35
    • 0001259664 scopus 로고
    • 'How to deal with variables with more than two levels'
    • Van Ham, P.: 'How to deal with variables with more than two levels', Lecture Notes in Biomathematics, 1979, 29, p. 326-343
    • (1979) Lecture Notes in Biomathematics , vol.29 , pp. 326-343
    • Van Ham, P.1
  • 36
    • 0025948178 scopus 로고
    • 'Regulatory networks seen as asynchronous automata: A logical description'
    • Thomas, R.: 'Regulatory networks seen as asyncAronous automata: a logical description', J. Theor. Biol., 1991, 153, p. 1-23
    • (1991) J. Theor. Biol. , vol.153 , pp. 1-23
    • Thomas, R.1
  • 37
    • 0001723411 scopus 로고
    • 'Logical identification of all steady states: The concept of feedback loop characteristic states'
    • Snoussi, E.H., and Thomas, R.: 'Logical identification of all steady states: The concept of feedback loop characteristic states', Bul. Math. Biol., 1993, 55, p. 973-991
    • (1993) Bul. Math. Biol. , vol.55 , pp. 973-991
    • Snoussi, E.H.1    Thomas, R.2
  • 39
    • 0007712725 scopus 로고    scopus 로고
    • 'Multistationarity, the basis of cell differentiation and memory. I. Structural conditions of multistationarity and other nontrivial behavior'
    • 1054-1500
    • Thomas, R., and Kaufman, M.: 'Multistationarity, the basis of cell differentiation and memory. I. Structural conditions of multistationarity and other nontrivial behavior', Chaos, 2001, 11, p. 165-179 1054-1500
    • (2001) Chaos , vol.11 , pp. 165-179
    • Thomas, R.1    Kaufman, M.2
  • 40
    • 0035582202 scopus 로고    scopus 로고
    • 'Multistationarity, the basis of cell differentiation and memory. II. Logical analysis of regulatory networks in terms of feedback circuits'
    • 10.1063/1.1349893 1054-1500
    • Thomas, R., and Kaufman, M.: 'Multistationarity, the basis of cell differentiation and memory. II. Logical analysis of regulatory networks in terms of feedback circuits', Chaos, 2001, 11, p. 180-195 10.1063/ 1.1349893 1054-1500
    • (2001) Chaos , vol.11 , pp. 180-195
    • Thomas, R.1    Kaufman, M.2
  • 41
    • 0008719415 scopus 로고
    • 'Logical vs continuous description of systems comprising feedback loops: The relation between time delays and parameters'
    • Chemical applications of topology: A collection of papers from a symposium held at the University of Georgia, Athens, USA
    • Thomas, R.: 'Logical vs continuous description of systems comprising feedback loops: The relation between time delays and parameters', Chemical applications of topology: A collection of papers from a symposium held at the University of Georgia, Athens, USA. Studies in physical and theoretical chemistry, 1983), p. 307-321
    • (1983) Studies in Physical and Theoretical Chemistry , pp. 307-321
    • Thomas, R.1
  • 42
    • 33746596218 scopus 로고
    • 'Dynamique des Systèmes: Une approche logique asynchrone'
    • Université de Bruxelles Thèse d'Agrégation de l'enseignement supérieur
    • Van Ham, P.: 'Dynamique deU Systèmes: une approche logique asynchrone', 1989, Université de Bruxelles, Thèse d'Agrégation de l'enseignement supérieur
    • (1989)
    • Van Ham, P.1
  • 43
    • 0015296342 scopus 로고
    • 'Co-operative components, spatial localization and oscillatory cellular dynamics'
    • Glass, L., and Kauffman, S.: 'Co-operative components, spatial localization and oscillatory cellular dynamics', J. Theor. Biol., 1972, 34, p. 219-237
    • (1972) J. Theor. Biol. , vol.34 , pp. 219-237
    • Glass, L.1    Kauffman, S.2
  • 44
    • 0015609281 scopus 로고
    • 'The logical analysis of continuous non-linear biochemical control networks'
    • Glass, L., and Kauffman, S.A.: 'The logical analysis of continuous non-linear biochemical control networks', J. Theor. Biol., 1973, 39, p. 103-129
    • (1973) J. Theor. Biol. , vol.39 , pp. 103-129
    • Glass, L.1    Kauffman, S.A.2
  • 45
    • 0023662006 scopus 로고
    • 'Model analysis of the bases of multistationarity in the humoral immune response'
    • Kaufman, M., and Thomas, R.: 'Model analysis of the bases of multistationarity in the humoral immune response', J. Theor. Biol., 1987, 129, p. 141-162
    • (1987) J. Theor. Biol. , vol.129 , pp. 141-162
    • Kaufman, M.1    Thomas, R.2
  • 46
    • 84914448849 scopus 로고    scopus 로고
    • 'La synthèse des machines numériques et son automatisation'
    • (Paris Dunod
    • Florine, J.: 'La synthèse des machines numériques et son automatisation', (Paris Dunod
    • Florine, J.1
  • 47
    • 0017663881 scopus 로고
    • 'Generation of a locomotory rhythm by a neural network with recurrent cyclic inhibition'
    • 10.1007/BF00360911
    • Friesen, W.O., and Stent, G.S.: 'Generation of a locomotory rhythm by a neural network with recurrent cyclic inhibition', Biol. Cybernetics, 1977, 28, p. 27-40 10.1007/BF00360911
    • (1977) Biol. Cybernetics , vol.28 , pp. 27-40
    • Friesen, W.O.1    Stent, G.S.2
  • 48
    • 0037734262 scopus 로고    scopus 로고
    • 'Hardware (DNA) circuits'
    • D'Ari, R., and Thomas, R.: 'Hardware (DNA) circuits', C.R. Biologies, 2003, 326, p. 215-217
    • (2003) C.R. Biologies , vol.326 , pp. 215-217
    • D'Ari, R.1    Thomas, R.2
  • 49
    • 0034688173 scopus 로고    scopus 로고
    • 'A synthetic oscillatory network of transcriptional regulators'
    • 0028-0836
    • Elowitz, M.B., and Leibler, S.: 'A synthetic oscillatory network of transcriptional regulators', Nature, 2000, 403, p. 335-338 0028-0836
    • (2000) Nature , vol.403 , pp. 335-338
    • Elowitz, M.B.1    Leibler, S.2
  • 50
    • 0034688174 scopus 로고    scopus 로고
    • 'Construction of a genetic toggle switch in Escherichia coli'
    • 0028-0836
    • Gardner, T.S., Cantor, C.R., and Collins, J.J.: 'Construction of a genetic toggle switch in Escherichia coli', Nature, 2000, 403, p. 339-342 0028-0836
    • (2000) Nature , vol.403 , pp. 339-342
    • Gardner, T.S.1    Cantor, C.R.2    Collins, J.J.3
  • 51
    • 0034212551 scopus 로고    scopus 로고
    • 'Engineering stability in gene networks by autoregulation'
    • 0028-0836
    • Becksei, A., and Serrano, L.: 'Engineering stability in gene networks by autoregulation', Nature, 2000, 405, p. 590-593 0028-0836
    • (2000) Nature , vol.405 , pp. 590-593
    • Becksei, A.1    Serrano, L.2


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