Bistable behavior in a model of the lac operon in Escherichia coli with variable growth rate

Biophysical Journal

Volumn 94, Issue 6, 2008, Pages 2065-2081

  Santillan M ^a,b  

^a DEPARTAMENTO DE FÍSICA   (Mexico)

^b MCGILL UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

CYCLIC AMP BINDING PROTEIN; DNA; LACTOSE; PEPTIDE;

ARTICLE; BACTERIAL PHENOMENA AND FUNCTIONS; BIOLOGICAL MODEL; BIOPHYSICS; CHEMISTRY; COMPUTER SIMULATION; CONFORMATION; ESCHERICHIA COLI; GENE EXPRESSION REGULATION; LACTOSE OPERON; METABOLISM; METHODOLOGY; THEORETICAL MODEL;

BACTERIAL PHYSIOLOGY; BIOPHYSICS; COMPUTER SIMULATION; CYCLIC AMP RECEPTOR PROTEIN; DNA; ESCHERICHIA COLI; GENE EXPRESSION REGULATION, BACTERIAL; LAC OPERON; LACTOSE; MODELS, BIOLOGICAL; MODELS, GENETIC; MODELS, THEORETICAL; NUCLEIC ACID CONFORMATION; PEPTIDES;

EID: 44049109241     PISSN: 00063495     EISSN: 15420086     Source Type: Journal    
DOI: 10.1529/biophysj.107.118026     Document Type: Article

References (33)

1. Jacob, F., D. Perrin, C. Sanchez, and J. Monod. 1960. Operon: a group of genes with the expression coordinated by an operator. C. R. Hebd. Seances Acad. Sci. 250:1727-1729.
2. Griffith, J. S. 1968. Mathematics of cellular control processes. II. Positive feedback to one gene. J. Theor. Biol. 20:209-216.
3. Rietkerk, M., S. F. Dekker, P. C. de Ruiter, and J. van de Koppel. 2004. Self-organized patchiness and catastrophic shifts in ecosystems. Science. 305:1926-1929.
4. Ferrell, J. E., Jr., and E. M. Machleder. 1998.The biochemical basisof an all-or-none cell fate switch in Xenopus oocytes. Science. 280:895-898.
5. Bagowski, C. P., and J. E. Ferrell. 2001. Bistability in the JNK cascade. Curr. Biol. 11:1176-1182.
6. Bhalla, U. S., P. T. Ram, and R. Iyengar. 2002. MAP kinase phosphatase as a locus of flexibility in a mitogen-activated protein kinase signaling network. Science. 297:1018-1023.
7. Cross, F. R., V. Archambault, M. Miller, and M. Klovstad. 2002. Testing a mathematical model of the yeast cell cycle. Mol. Biol. Cell. 13:52-70.
8. Pomerening, J. R., E. D. Sontag, and J. E. Ferrell, Jr. 2003. Building a cell cycle oscillator: hysteresis and bistability in the activation of Cdc2. Nat. Cell Biol. 5:346-351.
9. Bagowski, C., J. Besser, C. R. Frey, and J. E. J. J. Ferrell, Jr. 2003. The JNK cascade as a biochemical switch in mammalian cells: ultrasensitive and all-or-none responses. Curr. Biol. 13:315-320.
10. Sha, W., J. Moore, K. Chen, A. D. Lassaletta, C. S. Yi, J. J. Tyson, and J. C. Sible. 2003. Hysteresis drives cell-cycle transitions in Xenopus laevis egg extracts. Proc. Natl. Acad. Sci. USA. 100:975-980.
11. Dubnau, D., and R. Losick. 2006. Bistability in bacteria. Mol. Microbiol. 61:564-572.
12. Novick, A., and M. Weiner. 1957. Enzyme induction as an all-or-none phenomenon. Proc. Natl. Acad. Sci. USA. 43:553-566.
13. Cohn, M., and K. Horibata. 1959. Analysis of the differentiation and of the heterogeneity within a population of Escherichia coli undergoing induced β-galactosidase synthesis. J. Bacteriol. 78:613-623.
14. Maloney, L., and B. Rotman. 1973. Distribution of suboptimally induced -D-galactosidase in Escherichia coli. The enzyme content of individual cells. J. Mol. Biol. 73:77-91.
15. Chung, J. D., and G. Stephanopoulos. 1996. On physiological multiplicity and population heterogeneity of biological systems. Chem. Eng. Sci. 51:1509-1521.
16. Ozbudak, E. M., M. Thattai, H. N. Lim, B. I. Shraiman, and A. van Oudenaarden. 2004. Multistability in the lactose utilization network of Escherichia coli. Nature. 427:737-740.
17. Santillán, M., M. C. Mackey, and E. S. Zeron. 2007. Origin of bistability in the lac operon. Biophys. J. 92:3830-3842.
18. Narang, A. 2007. Effect of DNA looping on the induction kinetics of the lac operon. J. Theor. Biol. 247:695-712.
19. Kuhlman, T., Z. Zhang, M. H. Saier, and T. Hwa. 2007. Combinatorial transcriptional control of the lactose operon of Escherichia coli. Proc. Natl. Acad. Sci. USA. 104:6043-6048.
20. Strogatz, S. H. 1994. Nonlinear Dynamics and Chaos. Addison Wesley, Reading, MA.
21. Gillespie, D. T. 2001. Approximate accelerated stochastic simulation of chemically reacting systems. J. Chem. Phys. 115:1716-1733.
22. Gillespie, D. T., and L. R. Petzold. 2003. Improved leap-size selection for accelerated stochastic simulation. J. Chem. Phys. 119:8229-8234.
23. Warren, P., and P. R. ten Wolde. 2004. Enhancement of the stability of genetic switches by overlapping upstream regulatory domains. Phys. Rev. Lett. 92:128101.
24. Warren, P., and P. R. ten Wolde. 2005. Chemical models of genetic toggle switches. J. Phys. Chem. B. 109:6812-6823.
25. Kepler, T. B., and T. C. Elston. 2001. Stochasticity in transcriptional regulation: origins, consequences, and mathematical representations. Biophys. J. 81:3116-3136.
26. Gilbert, W., and B. Müller-Hill. 1966. Isolation of the lac repressor. Biophys. J. 56:1891-1898.
27. van Hoek, M. J., and P. Hogeweg. 2006. In silico evolved lac operons exhibit bistability for artificial inducers, but not for lactose. Biophys. J. 91:2833-2843.
28. Roseman, S., and N. D. Meadow. 1990. Signal transduction by the bacterial phosphotransferase system. J. Biol. Chem. 265:2993-2996.
29. Narang, A. 1998. The dynamical analogy between microbial growth on mixtures of substrates and population growth of competing species. Biotechnol. Bioeng. 59:116-121.
30. Dekel, E., and U. Alon. 2005. Optimality and evolutionary tuning of the expression level of a protein. Nature. 436:588-592.
31. Monod, J. 1949. The growth of bacterial cultures. Annu. Rev. Micro biol. 3:371-394.
32. Schulze, K. L., and R. S. Lipe. 1964. Relationship between substrate concentration, growth rate, and respiration rate of Escherichia coli in continuous culture. Arch. Mikrobiol. 48:1-20.
33. Oehler, S., E. R. Eismann, H. Krämer, and B. Müller-Hill. 1990. The three operators of lac operon cooperate in repression. EMBO J. 9:973-979.