Broadcast control of oscillating cell populations. Kuritz, K. & Allgöwer, F. EMBO | EMBL Symposium: Biological Oscillators: Design, Mechanism, Function, June, 2018.
abstract   bibtex   
Many disease including cancer, Parkinson's disease and heart diseases are caused by loss or malfunction of regulatory mechanism of an oscillatory system. Cure of these diseases might be achieved by recovering the healthy behavior of the oscillators in the system e.g. by achieving synchrony or a desired distribution of the oscillators on their periodic orbit. Control of oscillating cells in medical applications however is difficult due limitations on observability and controllability of the cellular states. Depending on the experimental setup only some cells of the oscillating population can be measured. Furthermore, drugs or other inputs can not be targeted to individual cells. These limitations give rise to an ensemble control problem specified by finding a broadcast input based on a sample of the oscillators on their periodic orbit. We address this task by formulating the control problem in terms of the circular moments of the reduced phase representation. This leads to an output feedback which can accomplish any desired distribution such that e.g. healthy behavior is recovered. The proposed method can be used model free and the feedback control is applicable to almost any oscillating population including the cells in the cell cycle, circadian clock, cardiac activity and spiking neurons.
@Misc{Kuritz2018a,
  author       = {Kuritz, K. and Allg{\"o}wer, F.},
  title        = {Broadcast control of oscillating cell populations},
  howpublished = {EMBO | EMBL Symposium: Biological Oscillators: Design, Mechanism, Function},
  month        = {June},
  year         = {2018},
  abstract     = {Many disease including cancer, Parkinson's disease and heart diseases are caused by loss or malfunction of regulatory mechanism of an oscillatory system. Cure of these diseases might be achieved by recovering the healthy behavior of the oscillators in the system e.g. by achieving synchrony or a desired distribution of the oscillators on their periodic orbit. Control of oscillating cells in medical applications however is difficult due limitations on observability and controllability of the cellular states. Depending on the experimental setup only some cells of the oscillating population can be measured. Furthermore, drugs or other inputs can not be targeted to individual cells. 
These limitations give rise to an ensemble control problem specified by finding a broadcast input based on a sample of the oscillators on their periodic orbit. We address this task by formulating the control problem in terms of the circular moments of the reduced phase representation. This leads to an output feedback which can accomplish any desired distribution such that e.g. healthy behavior is recovered. The proposed method can be used model free and the feedback control is applicable to almost any oscillating population including the cells in the cell cycle, circadian clock, cardiac activity and spiking neurons.},
  pubtype      = {poster},
}

Downloads: 0