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Resource Competition as a Source of Non-Minimum Phase Behavior in Transcription-Translation Systems
Abstract In this paper, we explore how resource lim …
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.
icient to produce a right half plane zero.  +
Authors Enoch Yeung, Jongmin Kim, Richard M. Murray  +
Funding Molecular Programming Project +
ID 2013b  +
Source Submitted, 2013 Conference on Decision and Control (CDC)  +
Tag ykm13-cdc  +
Title Resource Competition as a Source of Non-Minimum Phase Behavior in Transcription-Translation Systems +
Type Conference Paper  +
Categories Papers
Modification date
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29 October 2017 14:29:49  +
URL
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http://www.cds.caltech.edu/~murray/preprints/ykm13-cdc_s.pdf  +
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Resource Competition as a Source of Non-Minimum Phase Behavior in Transcription-Translation Systems + Title
 

 

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