Passivity-based ensemble control for cell cycle synchronization
K. Kuritz, W. Halter, and F. Allgöwer. Emerg. Appl. Control Syst. Theory, Springer International Publishing, 1 edition, (2018)
Abstract
We investigate the problem of synchronizing a population of cellular os- cillators in their cell cycle. Restrictions on the observability and controllability of the population imposed by the nature of cell biology give rise to an ensemble control problem specified by finding a broadcast input based on the distribution of the popu- lation. We solve the problem by a passivity based control law which we derive from the reduced phase model representation of the population and the aim of sending the norm of the first circular moment to one. Furthermore, we present conditions on the phase response curve and circular moments of the population which are sufficient for synchronizing a population of cellular oscillators.
%0 Book Section
%1 Kuritz2018
%A Kuritz, Karsten
%A Halter, Wolfgang
%A Allgöwer, Frank
%B Emerg. Appl. Control Syst. Theory
%D 2018
%E Tempo, Roberto
%E Yurkovich, Stephen
%E Misra, Pradeep
%I Springer International Publishing
%K Book Papers
%T Passivity-based ensemble control for cell cycle synchronization
%U http://www.springer.com/de/book/9783319670676
%X We investigate the problem of synchronizing a population of cellular os- cillators in their cell cycle. Restrictions on the observability and controllability of the population imposed by the nature of cell biology give rise to an ensemble control problem specified by finding a broadcast input based on the distribution of the popu- lation. We solve the problem by a passivity based control law which we derive from the reduced phase model representation of the population and the aim of sending the norm of the first circular moment to one. Furthermore, we present conditions on the phase response curve and circular moments of the population which are sufficient for synchronizing a population of cellular oscillators.
%7 1
%@ 978-3-319-67067-6
@incollection{Kuritz2018,
abstract = {We investigate the problem of synchronizing a population of cellular os- cillators in their cell cycle. Restrictions on the observability and controllability of the population imposed by the nature of cell biology give rise to an ensemble control problem specified by finding a broadcast input based on the distribution of the popu- lation. We solve the problem by a passivity based control law which we derive from the reduced phase model representation of the population and the aim of sending the norm of the first circular moment to one. Furthermore, we present conditions on the phase response curve and circular moments of the population which are sufficient for synchronizing a population of cellular oscillators.},
added-at = {2019-02-07T21:34:03.000+0100},
author = {Kuritz, Karsten and Halter, Wolfgang and Allg{\"{o}}wer, Frank},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/20840584cb921bda8eb4ed6c9f8e556b9/karstenkuritz},
booktitle = {Emerg. Appl. Control Syst. Theory},
edition = 1,
editor = {Tempo, Roberto and Yurkovich, Stephen and Misra, Pradeep},
interhash = {8ed270242da3970eb5f213886a225787},
intrahash = {0840584cb921bda8eb4ed6c9f8e556b9},
isbn = {978-3-319-67067-6},
keywords = {Book Papers},
publisher = {Springer International Publishing},
timestamp = {2019-02-07T20:42:05.000+0100},
title = {Passivity-based ensemble control for cell cycle synchronization},
url = {http://www.springer.com/de/book/9783319670676},
year = 2018
}