View source for Resource Competition as a Source of Non-Minimum Phase Behavior in Transcription-Translation Systems

{{HTDB paper
| authors = Enoch Yeung, Jongmin Kim, Richard M. Murray
| title = Resource Competition as a Source of Non-Minimum Phase Behavior in Transcription-Translation Systems
| source = Submitted, 2013 Conference on Decision and Control (CDC)
| year = 2013
| type = Conference Paper
| funding = MPP
| url = http://www.cds.caltech.edu/~murray/preprints/ykm13-cdc_s.pdf
| abstract = 
In this paper, we explore how resource limitations can lead to coupling interactions between orthogonal com- ponents in a transcription-translation system and the effect those interactions have on its dynamical behavior. To illustrate these ideas, we present a motivating example featuring a classical network motif: the signal cascade. We show that through coupling interactions arising from competition for limited resources, the system exhibits a non-minimum phase step response. These observations lead us to identify a key network motif with the potential to introduce right half plane zeros into the system transfer function. We characterize the parametric conditions under which the network motif produces a non-minimum phase transfer function and illustrate with two examples how resource limitations can 1) introduce the network motif through these coupling interactions, 2) satisfy the parametric conditions sufficient to produce a right half plane zero.
| flags = 
| tag = ykm13-cdc
| id = 2013b
}}