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Reverse engineering combination therapies for evolutionary dynamics of disease: An H∞ approach

Jonsson, Vanessa and Matni, Nikolai and Murray, Richard M. (2013) Reverse engineering combination therapies for evolutionary dynamics of disease: An H∞ approach. In: 52nd IEEE Conference on Decision and Control. IEEE , Piscataway, NJ, pp. 2060-2065. ISBN 978-1-4673-5714-2. https://resolver.caltech.edu/CaltechAUTHORS:20190329-155946621

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Abstract

We propose a general algorithm for the systematic design of feedback strategies to stabilize the evolutionary dynamics of a generic disease model using an H∞ approach. We show that designing therapy concentrations can be cast as an H∞ state feedback synthesis problem, where the feedback gain is constrained to not only be strictly diagonal, but also that its diagonal elements satisfy an overdetermined set of linear equations. Leveraging recent results in positive systems, we develop an algorithm that always yields a stabilizing controller.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1109/CDC.2013.6760185DOIArticle
ORCID:
AuthorORCID
Matni, Nikolai0000-0003-4936-3921
Murray, Richard M.0000-0002-5785-7481
Additional Information:© 2013 IEEE. This research was supported by the Institute for Collaborative Biotechnologies through grant W911NF-09-0001 from the U.S. Army Research Office. The content of the information does not necessarily reflect the position or the policy of the Government, and no official endorsement should be inferred. We would like to thank David Baltimore for discussions regarding combination therapies and Pamela Bjorkman for discussions regarding using antibody therapy for HIV treatment. We appreciate the help of Bjorkman laboratory staff scientist Anthony West for information on antibody neutralization parameters.
Funders:
Funding AgencyGrant Number
Army Research Office (ARO)W911NF-09-0001
Record Number:CaltechAUTHORS:20190329-155946621
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190329-155946621
Official Citation:V. Jonsson, N. Matni and R. M. Murray, "Reverse engineering combination therapies for evolutionary dynamics of disease: An ℌ∞ approach," 52nd IEEE Conference on Decision and Control, Florence, 2013, pp. 2060-2065. doi: 10.1109/CDC.2013.6760185
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:94304
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:29 Mar 2019 23:25
Last Modified:03 Oct 2019 21:02

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