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bioRxiv · 10.1101/000075

A Scalable Formulation for Engineering Combination Therapies for Evolutionary Dynamics of Disease

Vanessa Jonsson·Anders Rantzer·Richard M Murray
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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 {ell}1 and {ell}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.

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Vanessa Jonsson, Anders Rantzer, Richard M Murray. 2013-11-07. A Scalable Formulation for Engineering Combination Therapies for Evolutionary Dynamics of Disease. https://doi.org/10.1101/000075

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