Abstract
In this paper, we study a hybrid automaton model of the lac operon regulating lactose metabolism in E. Coli. We identify two stationary conditions for the system corresponding to lactose metabolism being induced/uninduced, and characterize the extra-cellular concentrations of glucose and lactose that are compatible with them. We also investigate conditions for switching between the two identified stationary conditions.
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Jacob, F., Monod, J.: Gene regulatory mechanisms in the synthesis of proteins. J. Mol. Biol. 3, 318–356 (1961)
Sontag, E.D.: Molecular systems biology and control. European Journal of Control 11, 396–435 (2005)
Ghosh, R., Tomlin, C.J.: Lateral inhibition through delta-notch signaling: A piecewise affine hybrid model. In: Di Benedetto, M.D., Sangiovanni-Vincentelli, A.L. (eds.) HSCC 2001. LNCS, vol. 2034, Springer, Heidelberg (2001)
Batt, G., et al.: Qualitative analysis and verification of hybrid models of genetic regulatory networks: Nutritional stress response in Escherichia Coli. In: Morari, M., Thiele, L. (eds.) HSCC 2005. LNCS, vol. 3414, Springer, Heidelberg (2005)
de Jong, H., Gouzè, J.L., Casey, R.: Piecewise linear models of genetic regulatory networks: Equilibria and their stability. J. Math. Biol (2005)
Tournier, L., Farcot, E.: Hybrid model of gene regulatory networks, the case of lac operon. Rapport LMC-IMAG (2002)
Klipp, E., et al.: Systems Biology in Practice: Concepts, Implementation and Application. Wiley-VCH, Weinheim (2005)
Tomlin, C., Lygeros, J., Sastry, S.: A game theoretic approach to controller design for hybrid systems. Proceedings of the IEEE 88(7), 949–970 (2000)
Farina, M., Prandini, M.: Hybrid models for gene regulatory networks: The case of lac operon in E. Coli. Technical Report 2006.75, Politecnico di Milano (2006)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2007 Springer Berlin Heidelberg
About this paper
Cite this paper
Farina, M., Prandini, M. (2007). Hybrid Models for Gene Regulatory Networks: The Case of lac Operon in E. Coli. In: Bemporad, A., Bicchi, A., Buttazzo, G. (eds) Hybrid Systems: Computation and Control. HSCC 2007. Lecture Notes in Computer Science, vol 4416. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71493-4_63
Download citation
DOI: https://doi.org/10.1007/978-3-540-71493-4_63
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-71492-7
Online ISBN: 978-3-540-71493-4
eBook Packages: Computer ScienceComputer Science (R0)