Feedback architectures to regulate flux of components in artificial gene networks

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Giulia Giordano, Elisa Franco and Richard M. Murray
Submitted, 2013 American Control Conference (ACC)

This paper focuses on RNA flux regulation for in vitro synthetic gene networks and considers architectures that can be scaled to an arbitrary number of species. Feedback loops are designed based on negative auto–regulation (which can minimize the potentially harmful amount of molecules not used to form useful products) and cross–activation (which can maximize the overall output flux): transcription rate matching can be achieved through proper feedback constants; negative feedback is faster and maintains stability. A possible experimen- tal implementation of a three and four genes negative feedback architecture is also numerically studied.