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A scalable formulation for engineering combination therapies for evolutionary dynamics of disease

Jonsson, Vanessa and Rantzer, Anders and Murray, Richard M. (2014) A scalable formulation for engineering combination therapies for evolutionary dynamics of disease. In: 2014 American Control Conference. IEEE , Piscataway, NJ, pp. 2771-2778. ISBN 978-1-4799-3272-6. https://resolver.caltech.edu/CaltechAUTHORS:20150320-090407457

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Abstract

It has been shown that optimal controller synthesis for positive systems can be formulated as a linear program. Leveraging these results, we propose a scalable iterative algorithm for the systematic design of sparse, small gain feedback strategies that stabilize the evolutionary dynamics of a generic disease model. We achieve the desired feedback structure by augmenting the optimization problems with ℓ_1 and ℓ_2 regularization terms, and illustrate our method on an example inspired by an experimental study aimed at finding appropriate HIV neutralizing antibody therapy combinations in the presence of escape mutants.


Item Type:Book Section
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URLURL TypeDescription
http://dx.doi.org/10.1109/ACC.2014.6859452 DOIArticle
http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6859452PublisherArticle
ORCID:
AuthorORCID
Murray, Richard M.0000-0002-5785-7481
Additional Information:© 2014 AACC. We would like to thank David Baltimore and Pamela Bjorkman for discussions regarding using antibody therapy for HIV treatment, and research scientist Anthony West for information on antibody neutralization parameters. We would like to thank Nikolai Matni for the review of the technical content. A. Rantzer gratefully acknowledges support of the LCCC Linnaeus Center and the eLLIIT Excellence Center at Lund University.
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Funding AgencyGrant Number
Lund UniversityUNSPECIFIED
Record Number:CaltechAUTHORS:20150320-090407457
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20150320-090407457
Official Citation:Jonsson, V.; Rantzer, A.; Murray, R.M., "A scalable formulation for engineering combination therapies for evolutionary dynamics of disease," American Control Conference (ACC), 2014 , vol., no., pp.2771,2778, 4-6 June 2014 doi: 10.1109/ACC.2014.6859452 URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6859452&isnumber=6858556
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:55941
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:20 Mar 2015 16:33
Last Modified:03 Oct 2019 08:10

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