Shaping Pulses to Control Bi-Stable Biological Systems
Author(s)
Sootla, A
Oyarzun, DA
Angeli, D
Stan, GB
Type
Conference Paper
Abstract
In this paper, we present a framework for shaping pulses to control biological systems, and specifically systems in synthetic biology. By shaping we mean computing the magnitude and the length of a pulse, application of which results in reaching the desired control objective. Hence the control signals have only two parameters, which makes these signals amenable to wetlab implementations. We focus on the problem of switching between steady states in a bistable system. We show how to estimate the set of the switching pulses, if the trajectories of the controlled system can be bounded from above and below by the trajectories of monotone systems. We then generalise this result to systems with parametric uncertainty under some mild assumptions on the set of admissible parameters, thus providing some robustness guarantees. We illustrate the results on some example genetic circuits.
Date Issued
2015-07-01
Date Acceptance
2015-07-01
Citation
2015 American Control Conference (ACC), 2015, pp.3138-3143
ISBN
978-1-4799-8685-9
Publisher
IEEE
Start Page
3138
End Page
3143
Journal / Book Title
2015 American Control Conference (ACC)
Copyright Statement
© 2015 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Source
American Control Conference 2015
Subjects
math.OC
cs.SY
q-bio.QM
Publication Status
Published
Start Date
2015-07-01
Finish Date
2015-07-03
Coverage Spatial
Chicago, IL USA