Analysis of primitive genetic interactions for the design of a genetic signal differentiator

Title	Analysis of primitive genetic interactions for the design of a genetic signal differentiator
Authors	Wolfgang Halter, Richard M. Murray and Frank Allgower
Source	Submitted, OUP Synthetic Biology, May 2019
Abstract	We study the dynamic and static input output behavior of several primitive genetic interactions and their e↵ect on the performance of a genetic signal di↵erentiator. In a simplified design, several requirements for the linearity and time-scales of processes like transcription, translation and competitive promoter binding were introduced. By ex- perimentally probing simple genetic constructs in a cell-free experimental environment and fitting semi-mechanistic models to these data, we show that some of these require- ments can be verified, while others are only met with reservations in certain operational regimes. Analyzing the linearized model of the resulting genetic network we conclude that it approximates a di↵erentiator with relative degree one. Taking also the discovered non-linearities into account and using a describing function approach, we further deter- mine the particular frequency and amplitude ranges where the genetic di↵erentiator can be expected to behave as such.
Type	Journal submission
URL	http://www.cds.caltech.edu/~murray/preprints/ham19-oupsynbio s.pdf
DOI
Tag	ham19-oupsynbio
ID	2019g
Funding	AFOSR BRI
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