On the gain of entrainment in a class of weakly contractive bilinear control systems

R Katz, T Kriecherbauer, L Grüne, M Margaliot - SIAM Journal on Control and …, 2024‏ - SIAM
We consider a class of bilinear weakly contractive systems that entrain to periodic
excitations. Entrainment is important in many natural and artificial processes. For example …

On the gain of entrainment in the n-dimensional ribosome flow model

R Ofir, T Kriecherbauer, L Grüne… - Journal of the Royal …, 2023‏ - royalsocietypublishing.org
The ribosome flow model (RFM) is a phenomenological model for the flow of particles along
a one-dimensional chain of n sites. It has been extensively used to study ribosome flow …

Signal differentiation with genetic networks

W Halter, ZA Tuza, F Allgöwer - IFAC-PapersOnLine, 2017‏ - Elsevier
Biological counterparts of differential operators are not only likely to exist in natural systems
but also desirable to realize as modules in synthetic biology. Therefore, we present a …

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

W Halter, RM Murray, F Allgöwer - Synthetic Biology, 2019‏ - academic.oup.com
We study the dynamic and static input–output behavior of several primitive genetic
interactions and their effect on the performance of a genetic signal differentiator. In a …

Optimal experiment design and leveraging competition for shared resources in cell-free extracts

W Halter, F Allgower, RM Murray… - 2018 IEEE conference …, 2018‏ - ieeexplore.ieee.org
The fact that genes compete for shared cellular resources poses a fundamental challenge
when identifying parameters of genetic parts. A recently developed model of gene …

On the gain of entrainment in a class of weakly contractive bilinear control systems with applications to the master equation and the ribosome flow model

R Katz, T Kriecherbauer, L Grüne… - arxiv preprint arxiv …, 2023‏ - arxiv.org
We consider a class of bilinear weakly contractive systems that entrain to periodic
excitations. Entrainment is important in many natural and artificial processes. For example …

Embedded Extremum Seeking: A Bio-synthetic Optimiser

B Smart, L Marucci, L Renson - bioRxiv, 2024‏ - biorxiv.org
In cybergentics, internal control uses synthetic genetic circuits to bypass the sensing and
actuation limits of external control. Currently, embedded controllers are limited to basic …

Systems with integral resource consumption

W Halter, JM Montenbruck… - 2017 IEEE 56th Annual …, 2017‏ - ieeexplore.ieee.org
Systems in which a control action can only be taken when a certain resource η is available
can be found in various applications, ie in biological, engineering and economic sciences. In …