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

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Title Analysis of primitive genetic interactions for the design of a genetic signal differentiator
Authors Wolfgang Halter, Richard M. Murray, 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
Tag ham19-oupsynbio
ID 2019g
Funding AFOSR BRI
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