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Genetic Circuit-Host Ribosome Transactions: Diffusion-Reaction Model
(2018-09-18)
Deterministic models of bacterial genetic circuits commonly assume a well-mixed ensemble of species. This assumption results in ordinary differential equations (ODEs) describing the rate of change of the mean species ...
Signaling architectures that transmit unidirectional information
(2016-12-24)
A signaling pathway transmits information from an upstream system to downstream systems, ideally unidirectionally. A key bottleneck to unidirectional transmission is retroactivity, which is the additional reaction flux ...
Automatic Quantifications of Dynamics of Genetic Circuits in a Single Cell in Chemostat
(2015-08-31)
Modular design of genetic circuits requires iterations of experimental and theoretical efforts to make the design process reliable and the resulting behaviors predictable. This technical report demonstrates a fully automatic ...
The Number of Equilibrium Points of Perturbed Nonlinear Positive Dynamical Systems (Extended Version)
(2019-07-26)
The number of equilibrium points of a dynamical system dictates important qualitative properties such as the ability of the system to store different memory states, and may be significantly affected by state-dependent ...
Design of a lane departure driver-assist system under safety specifications
(2016-03-04)
We use a controlled invariance approach to design a semi-autonomous lane departure assist system that is guaranteed to keep the vehicle in the lane. The controlled invariant safe set is the set of system states from which ...
An N-stage Cascade of Phosphorylation Cycles as an Insulation Device for Synthetic Biological Circuits
(2016-03-27)
Single phosphorylation cycles have been found to have insulation device abilities, that is, they attenuate the effect of retroactivity applied by downstream systems and hence facilitate modular design in synthetic ...