Published December 2013
| public
Book Section - Chapter
Reverse engineering combination therapies for evolutionary dynamics of disease: An H∞ approach
Chicago
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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.
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.Additional details
- Eprint ID
- 94304
- Resolver ID
- CaltechAUTHORS:20190329-155946621
- Army Research Office (ARO)
- W911NF-09-0001
- Created
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2019-03-29Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field