Abstract
Oscillators are one of the best studied synthetic genetic circuits and a focus of the emerging field of Synthetic Biology. A number of different feedback arrangements that can produce oscillations have been proposed; the two most important constructs involve a single gene with negative feedback including delay and three genes in negative feedback forming a structure called a repressilator. Each of these has a different range of performance characteristics and different design rules. In this book chapter we discuss how oscillators of the first type can be designed to meet frequency and amplitude requirements. We also discuss how coupling heterogeneous populations of delayed oscillators can produce oscillations with robust amplitude and frequency. The analysis and design is rooted in techniques from control theory and dynamical systems.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Zordan, M., Costa, R., Macino, G., Fukuhara, C., Tosini, G.: Circadian clocks: what makes them tick. Chronobiology International 17(4), 433–451 (2000)
Dunlap, J.C.: Genetic and molecular analysis of circadian rhythms. Annual Review of Genetics 30, 579–601 (1996)
Purcell, O., Savert, N., Grierson, C., di Bernardo, M.: A comparative analysis of synthetic genetic oscillators. J. R. Soc. Interface 7(52), 1503–1524 (2010)
Anderson, J., Strelkowa, N., Stan, G.B., Douglas, T., Savulescu, J., Barahona, M., Papachristodoulou, A.: Engineering and ethical perspectives in synthetic biology. EMBO Reports 13(7), 584–590 (2012)
Friedland, A.E., Lu, T.K., Wang, X., Shi, D., Church, G., Collins, J.J.: Synthetic gene networks that count. Science 324, 1199–1202 (2009)
Elowitz, M., Leibler, S.: A synthetic oscillatory network of transcriptional regulators. Nature 403, 335–338 (2000)
Alon, U.: An Introduction to Systems Biology. Chapman and Hall (2007)
Stricker, J., Cookson, S., Bennett, M., Mather, W., Tsimring, L., Hasty, J.: A fast, robust and tunable synthetic gene oscillator. Nature 456, 516–519 (2008)
Dolan, J., Anderson, J., Papachristodoulou, A.: A loop shaping approach for designing biological circuits. In: Proc. of IEEE CDC (2012)
Verdugo, A., Rand, R.: Hopf bifurcation in a DDE model of gene expression. Communications in Nonlinear Science and Numerical Simulation 13(2), 235–242 (2006)
Rand, R.: Lecture notes on nonlinear vibrations (2005), http://www.tam.cornell.edu/randdocs/nlvibe52.pdf
You, L., Cox, R.S., Weiss, R., Arnold, F.H.: Programmed population control by cell-cell communication and regulated killing. Nature 428, 868–871 (2004)
Danino, T., Mondragon-Palomino, O., Tsimring, L., Hasty, J.: A synchronized quorum of genetic clocks. Nature 463, 326–330 (2010)
Yuan, Z., Zhou, T., Zhang, J., Chen, L.: Synchronization of genetic oscillators. Chaos 18, 037126 (2008)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Lambert, E., Hancock, E.J., Papachristodoulou, A. (2014). Engineering a Genetic Oscillator Using Delayed Feedback. In: VyhlÃdal, T., Lafay, JF., Sipahi, R. (eds) Delay Systems. Advances in Delays and Dynamics, vol 1. Springer, Cham. https://doi.org/10.1007/978-3-319-01695-5_28
Download citation
DOI: https://doi.org/10.1007/978-3-319-01695-5_28
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-01694-8
Online ISBN: 978-3-319-01695-5
eBook Packages: EngineeringEngineering (R0)