Modeling synthetic gene oscillators

► We review mathematical models of synthetic gene oscillators. ► Model derivation and formulation are highlighted. ► Underlying biochemical processes, and the models describing them, are explored. ► Specific examples from the literature are illustrated. Genetic oscillators have long held the fascina...

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Bibliographic Details
Published in:Mathematical biosciences 2012-03, Vol.236 (1), p.1-15
Main Authors: O’Brien, Erin L., Van Itallie, Elizabeth, Bennett, Matthew R.
Format: Article
Language:English
Subjects:
Biological Clocks - genetics
Circuits
Delay
Feedback
Gene Expression Regulation
Gene networks
Gene Regulatory Networks
Genes, Synthetic
Genetic oscillators
Modeling
Models, Genetic
Synthetic biology
Transcriptional regulation
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Summary:► We review mathematical models of synthetic gene oscillators. ► Model derivation and formulation are highlighted. ► Underlying biochemical processes, and the models describing them, are explored. ► Specific examples from the literature are illustrated. Genetic oscillators have long held the fascination of experimental and theoretical synthetic biologists alike. From an experimental standpoint, the creation of synthetic gene oscillators represents a yardstick by which our ability to engineer synthetic gene circuits can be measured. For theorists, synthetic gene oscillators are a playground in which to test mathematical models for the dynamics of gene regulation. Historically, mathematical models of synthetic gene circuits have varied greatly. Often, the differences are determined by the level of biological detail included within each model, or which approximation scheme is used. In this review, we examine, in detail, how mathematical models of synthetic gene oscillators are derived and the biological processes that affect the dynamics of gene regulation.
ISSN:0025-5564
1879-3134
DOI:10.1016/j.mbs.2012.01.001