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Volumn 327, Issue 3, 2004, Pages 211-224

Modeling operon dynamics: The tryptophan and lactose operons as paradigms

Author keywords

Computational molecular biology; Gene regulatory networks; Nonlinear dynamics

Indexed keywords

BETA GALACTOSIDASE; LACTOSE; MESSENGER RNA; TRYPTOPHAN;

EID: 1842583602     PISSN: 16310691     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crvi.2003.11.009     Document Type: Article
Times cited : (30)

References (41)
  • 1
    • 0004146634 scopus 로고
    • Cambridge University Press, Cambridge, UK
    • Schrödinger E. What Is Life? 1943 Cambridge University Press Cambridge, UK
    • (1943) What Is Life?
    • Schrödinger, E.1
  • 3
    • 0012028008 scopus 로고    scopus 로고
    • Molecular, metabolic and genetic control: An introduction
    • Tyson J.J. Mackey M.C. Molecular, metabolic and genetic control: an introduction Chaos 11 2001 81-83
    • (2001) Chaos , vol.11 , pp. 81-83
    • Tyson, J.J.1    Mackey, M.C.2
  • 5
    • 72949131359 scopus 로고
    • L'opéron: Groupe de gène à expression par un opérateur
    • Jacob F. Perrin D. Sanchez C. Monod J. L'opéron : groupe de gène à expression par un opérateur C. R. Acad. Sci. Paris 250 1960 1727-1729
    • (1960) C. R. Acad. Sci. Paris , vol.250 , pp. 1727-1729
    • Jacob, F.1    Perrin, D.2    Sanchez, C.3    Monod, J.4
  • 6
    • 0013823048 scopus 로고
    • Oscillatory behaviour in enzymatic control process
    • Goodwin B. Oscillatory behaviour in enzymatic control process Adv. Enz. Regul. 3 1965 425-438
    • (1965) Adv. Enz. Regul. , vol.3 , pp. 425-438
    • Goodwin, B.1
  • 7
    • 0014319313 scopus 로고
    • Mathematics of cellular control processes. I. Negative feedback to one gene
    • Griffith J.S. Mathematics of cellular control processes. I. Negative feedback to one gene J. Theor. Biol. 2 1968 202-208
    • (1968) J. Theor. Biol. , vol.2 , pp. 202-208
    • Griffith, J.S.1
  • 8
    • 0014318637 scopus 로고
    • Mathematics of cellular control processes. II. Positive feedback to one gene
    • Griffith J.S. Mathematics of cellular control processes. II. Positive feedback to one gene J. Theor. Biol. 2 1968 209-216
    • (1968) J. Theor. Biol. , vol.2 , pp. 209-216
    • Griffith, J.S.1
  • 9
    • 0002275384 scopus 로고
    • The dynamics of feedback control circuits in biochemical pathways
    • R. Rosen (Ed.), Academic Press, New York
    • Tyson J.J. Othmer H.G. The dynamics of feedback control circuits in biochemical pathways Rosen R. Prog. Biophys. vol. 5 1978 1-62 Academic Press New York
    • (1978) Prog. Biophys. , vol.5 , pp. 1-62
    • Tyson, J.J.1    Othmer, H.G.2
  • 10
    • 0011664218 scopus 로고
    • Mathematical analysis of a cellular control process with positive feedback
    • Selgrade J.F. Mathematical analysis of a cellular control process with positive feedback SIAM J. Appl. Math. 36 1979 219-229
    • (1979) SIAM J. Appl. Math. , vol.36 , pp. 219-229
    • Selgrade, J.F.1
  • 11
    • 0020191291 scopus 로고
    • A Hopf bifurcation in single loop positive feedback systems
    • Selgrade J.F. A Hopf bifurcation in single loop positive feedback systems Q. Appl. Math. 40 1982 347-351
    • (1982) Q. Appl. Math. , vol.40 , pp. 347-351
    • Selgrade, J.F.1
  • 12
    • 0028741468 scopus 로고
    • A Liapunov function for four dimensional positive feedback systems
    • Ji-Fa J. A Liapunov function for four dimensional positive feedback systems Q. Appl. Math. 52 1994 601-614
    • (1994) Q. Appl. Math. , vol.52 , pp. 601-614
    • Ji-Fa, J.1
  • 14
    • 0019974626 scopus 로고
    • Role of feedback inhibition in stabilizing the classical operon
    • Bliss R.D. Painter R.P. Marr A.G. Role of feedback inhibition in stabilizing the classical operon J. Theor. Biol. 97 1982 177-193
    • (1982) J. Theor. Biol. , vol.97 , pp. 177-193
    • Bliss, R.D.1    Painter, R.P.2    Marr, A.G.3
  • 15
    • 0018449390 scopus 로고
    • A specific method for determination of free tryptophan and endogenous tryptophan in Escherichia coli
    • Bliss R.D. A specific method for determination of free tryptophan and endogenous tryptophan in Escherichia coli Anal. Biochem. 93 1979 390-398
    • (1979) Anal. Biochem. , vol.93 , pp. 390-398
    • Bliss, R.D.1
  • 16
    • 0342762090 scopus 로고    scopus 로고
    • Model analysis concerning the effects of growth rate and intracellular tryptophan level on the stability and dynamics of tryptophan biosynthesis in bacteria
    • Xiu Z.L. Zeng A.P. Deckwer W.D. Model analysis concerning the effects of growth rate and intracellular tryptophan level on the stability and dynamics of tryptophan biosynthesis in bacteria J. Biotechnol. 58 1997 125-140
    • (1997) J. Biotechnol. , vol.58 , pp. 125-140
    • Xiu, Z.L.1    Zeng, A.P.2    Deckwer, W.D.3
  • 17
    • 0024278213 scopus 로고
    • Theoretical study of tryptophan operon: Application in microbial technology
    • Sinha S. Theoretical study of tryptophan operon: application in microbial technology Biotechnol. Bioeng. 31 1988 117-124
    • (1988) Biotechnol. Bioeng. , vol.31 , pp. 117-124
    • Sinha, S.1
  • 18
    • 0025305478 scopus 로고
    • Dynamic analysis of genetic control and regulation of amino acid synthesis: The tryptophan operon in Escherichia coli
    • Sen A.K. Liu W. Dynamic analysis of genetic control and regulation of amino acid synthesis: the tryptophan operon in Escherichia coli Biotechnol. Bioeng. 35 1989 185-194
    • (1989) Biotechnol. Bioeng. , vol.35 , pp. 185-194
    • Sen, A.K.1    Liu, W.2
  • 19
    • 0035852686 scopus 로고    scopus 로고
    • Dynamic regulation of the tryptophan operon: A modeling study and comparison with experimental data
    • Santillán M. Mackey M.C. Dynamic regulation of the tryptophan operon: a modeling study and comparison with experimental data Proc. Natl Acad. Sci. USA 98 2001 1364-1369
    • (2001) Proc. Natl Acad. Sci. USA , vol.98 , pp. 1364-1369
    • Santillán, M.1    Mackey, M.C.2
  • 20
    • 0027971841 scopus 로고
    • Role of regulatory features of the trp operons of E. coli in mediating a response to a nutritional shift
    • Yanofsky C. Horn V. Role of regulatory features of the trp operons of E. coli in mediating a response to a nutritional shift J. Bacteriol. 176 1994 6245-6254
    • (1994) J. Bacteriol. , vol.176 , pp. 6245-6254
    • Yanofsky, C.1    Horn, V.2
  • 21
    • 0031105797 scopus 로고    scopus 로고
    • Mathematical model of the lac operon: Inducer exclusion, catabolite repression, and diauxic growth on glucose and lactose
    • Wong P. Gladney S. Keasling J.D. Mathematical model of the lac operon: inducer exclusion, catabolite repression, and diauxic growth on glucose and lactose Biotechnol. Prog. 13 1997 132-143
    • (1997) Biotechnol. Prog. , vol.13 , pp. 132-143
    • Wong, P.1    Gladney, S.2    Keasling, J.D.3
  • 22
    • 0033101686 scopus 로고    scopus 로고
    • Stability analysis for a mathematical model of the lac operon
    • Maffahy J.M. Simeonov E. Stability analysis for a mathematical model of the lac operon Q. Appl. Math. 57 1999 37-53
    • (1999) Q. Appl. Math. , vol.57 , pp. 37-53
    • Maffahy, J.M.1    Simeonov, E.2
  • 23
    • 3042596483 scopus 로고    scopus 로고
    • Dynamics and bistability in a reduced model of the lactose operon: Comparison with experimental data
    • in press
    • N. Yildirim, M. Santillan, D. Horike, M.C. Mackey, Dynamics and bistability in a reduced model of the lactose operon: comparison with experimental data, Chaos (2004) in press
    • (2004) Chaos
    • Yildirim, N.1    Santillan, M.2    Horike, D.3    Mackey, M.C.4
  • 24
    • 0038298805 scopus 로고    scopus 로고
    • Feedback regulation in the lactose operon: A mathematical modeling study and comparison with experimental data
    • Yildirim N. Mackey M.C. Feedback regulation in the lactose operon: a mathematical modeling study and comparison with experimental data Biophys. J. 84 2003 2841-2851
    • (2003) Biophys. J. , vol.84 , pp. 2841-2851
    • Yildirim, N.1    Mackey, M.C.2
  • 26
    • 0026800608 scopus 로고
    • The lactose operon-controlling elements: A complex paradigm
    • Reznikoff W.S. The lactose operon-controlling elements: a complex paradigm Mol. Microbiol. 6 1992 2419-2422
    • (1992) Mol. Microbiol. , vol.6 , pp. 2419-2422
    • Reznikoff, W.S.1
  • 27
    • 0014974440 scopus 로고
    • On the relation between effector concentration and the rate of induced enzyme synthesis
    • Yagil G. Yagil E. On the relation between effector concentration and the rate of induced enzyme synthesis Biophys J. 11 1971 1-27
    • (1971) Biophys J. , vol.11 , pp. 1-27
    • Yagil, G.1    Yagil, E.2
  • 28
    • 0017103194 scopus 로고
    • Inducer exclusion and regulation of the melibose, maltose, glycerol, and lactose transport systems by the phosphoenolpyruvate: Sugar phosphotransferase system
    • Saier M.H. Inducer exclusion and regulation of the melibose, maltose, glycerol, and lactose transport systems by the phosphoenolpyruvate: sugar phosphotransferase system J. Biol. Chem. 251 1976 6606-6615
    • (1976) J. Biol. Chem. , vol.251 , pp. 6606-6615
    • Saier, M.H.1
  • 29
    • 0019983630 scopus 로고
    • Regulation of lactose permease activity by the phosphoenolpyruvate: Sugar phosphotransferase system: Evidence for direct binding of the glucose specific enzyme III to the lactose permease
    • Osumi T. Saier M.H. Regulation of lactose permease activity by the phosphoenolpyruvate:sugar phosphotransferase system: evidence for direct binding of the glucose specific enzyme III to the lactose permease Proc. Natl Acad. Sci. USA 79 1982 1457-1461
    • (1982) Proc. Natl Acad. Sci. USA , vol.79 , pp. 1457-1461
    • Osumi, T.1    Saier, M.H.2
  • 32
    • 0001389945 scopus 로고
    • Enzyme induction as an all-or-none phenomenon
    • Novick A. Wiener M. Enzyme induction as an all-or-none phenomenon Proc. Natl Acad. Sci. USA 43 1957 553-566
    • (1957) Proc. Natl Acad. Sci. USA , vol.43 , pp. 553-566
    • Novick, A.1    Wiener, M.2
  • 33
    • 0000545989 scopus 로고
    • Inhibition by glucose of the induced synthesis of the β-galactosidase-enzyme system of Escherichia coli: Analysis of maintenance
    • Cohn M. Horibata K. Inhibition by glucose of the induced synthesis of the β-galactosidase-enzyme system of Escherichia coli: analysis of maintenance J. Bacteriol. 78 1959 613-623
    • (1959) J. Bacteriol. , vol.78 , pp. 613-623
    • Cohn, M.1    Horibata, K.2
  • 34
    • 0014409220 scopus 로고
    • Oscillation of the rate of β-galactosidase in Escherichia coli ML 30 and ML 308
    • Knorre W.A. Oscillation of the rate of β-galactosidase in Escherichia coli ML 30 and ML 308 Biochim. Biophys. Res. Commun. 31 1968 812-817
    • (1968) Biochim. Biophys. Res. Commun. , vol.31 , pp. 812-817
    • Knorre, W.A.1
  • 36
    • 1842523531 scopus 로고    scopus 로고
    • Solving DDEs with MATLAB, www.radford.edu/~thompson/webddes/
    • Shampine L.F. Thompson S. Solving DDEs with MATLAB www.radford.edu/~thompson/webddes/
    • Shampine, L.F.1    Thompson, S.2
  • 37
    • 0014589664 scopus 로고
    • Control dynamics of β-galactosidase in relation to the bacterial cell cycle
    • Goodwin B.C. Control dynamics of β-galactosidase in relation to the bacterial cell cycle Eur. J. Biochem. 10 1969 515-522
    • (1969) Eur. J. Biochem. , vol.10 , pp. 515-522
    • Goodwin, B.C.1
  • 38
    • 0035193294 scopus 로고    scopus 로고
    • Stochasticity in transcriptional regulation: Origins, consequences, and mathematical representations
    • Kepler T.B. Elston T.C. Stochasticity in transcriptional regulation: origins, consequences, and mathematical representations Biophys. J. 81 2001 3116-3136
    • (2001) Biophys. J. , vol.81 , pp. 3116-3136
    • Kepler, T.B.1    Elston, T.C.2
  • 39
    • 33645429016 scopus 로고
    • Exact stochastic simulation of coupled chemical reactions
    • Gilespie D.T. Exact stochastic simulation of coupled chemical reactions J. Phys. Chem. 81 1977 2340-2361
    • (1977) J. Phys. Chem. , vol.81 , pp. 2340-2361
    • Gilespie, D.T.1
  • 40
    • 0029028963 scopus 로고
    • Circuit simulation of genetic networks
    • McAdams H.H. Shapiro L. Circuit simulation of genetic networks Science 269 1995 650-656
    • (1995) Science , vol.269 , pp. 650-656
    • McAdams, H.H.1    Shapiro, L.2
  • 41
    • 0031879114 scopus 로고    scopus 로고
    • Stochastic kinetic analysis of developmental pathway bifurcation in phage λ-infected Escherichia coli cells
    • Arkin A. Ross J. McAdams H.H. Stochastic kinetic analysis of developmental pathway bifurcation in phage λ-infected Escherichia coli cells Genetics 149 1998 1633-1648
    • (1998) Genetics , vol.149 , pp. 1633-1648
    • Arkin, A.1    Ross, J.2    McAdams, H.H.3


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