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.
This work is dedicated to Professor Muthukumalli Vidyasagar on his 70th birthday.
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Acknowledgements
The authors thank the German Research Foundation (DFG) for financial support of the project under grant number AL316/14-1 and within the Cluster of Excellence in Simulation Technology (EXC 310/2) at the University of Stuttgart.
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Kuritz, K., Halter, W., Allgöwer, F. (2018). Passivity-Based Ensemble Control for Cell Cycle Synchronization. In: Tempo, R., Yurkovich, S., Misra, P. (eds) Emerging Applications of Control and Systems Theory. Lecture Notes in Control and Information Sciences - Proceedings. Springer, Cham. https://doi.org/10.1007/978-3-319-67068-3_1
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