We investigate the problem of synchronizing a population of cellular oscillators 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 population. 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 ist:kuritz2018
%A Kuritz, K.
%A Halter, W.
%A Allgöwer, F.
%B Emerging Applications of Control and Systems Theory: A Festschrift in Honor of Mathukumalli Vidyasagar
%C Cham
%D 2018
%E Tempo, Roberto
%E Yurkovich, Stephen
%E Misra, Pradeep
%I Springer International Publishing
%K imported from:ist_bib
%P 1-13
%R 10.1007/978-3-319-67068-3_1
%T Passivity-Based Ensemble Control for Cell Cycle Synchronization
%X We investigate the problem of synchronizing a population of cellular oscillators 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 population. 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.
%@ 978-3-319-67068-3
@incollection{ist:kuritz2018,
abstract = {We investigate the problem of synchronizing a population of cellular oscillators 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 population. 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 = {2021-05-18T15:32:17.000+0200},
address = {Cham},
author = {Kuritz, K. and Halter, W. and Allg{\"o}wer, F.},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/22536011abc99891938e5d8b1b323292d/istbib},
booktitle = {Emerging Applications of Control and Systems Theory: A Festschrift in Honor of Mathukumalli Vidyasagar},
doi = {10.1007/978-3-319-67068-3_1},
editor = {Tempo, Roberto and Yurkovich, Stephen and Misra, Pradeep},
interhash = {8ed270242da3970eb5f213886a225787},
intrahash = {2536011abc99891938e5d8b1b323292d},
isbn = {978-3-319-67068-3},
keywords = {imported from:ist_bib},
pages = {1-13},
publisher = {Springer International Publishing},
timestamp = {2021-05-18T13:32:17.000+0200},
title = {Passivity-Based Ensemble Control for Cell Cycle Synchronization},
year = 2018
}
