Conference paper Open Access

# In-silico feedback control of a MIMO synthetic Toggle Switch via Pulse-Width Modulation

Guarino, Agostino; Fiore, Davide; di Bernardo, Mario

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<dc:creator>Guarino, Agostino</dc:creator>
<dc:creator>Fiore, Davide</dc:creator>
<dc:creator>di Bernardo, Mario</dc:creator>
<dc:date>2019-08-15</dc:date>
<dc:description>

Abstract

The genetic toggle switch is a MIMO control system that can be controlled by varying the concentrations of two inducer molecules, aTc and IPTG, to achieve a desired level of expression of the two genes it comprises. It has been shown in Lugagne et al., Nature Communication (2017) that this can be accomplished through an open-loop external control strategy where the two inputs are selected as mutually exclusive periodic pulse waves of appropriate amplitude and duty-cycle. In this paper, we use a recently derived average model of the genetic toggle switch subject to these inputs to synthesize new feedback control approaches that adjust the inputs duty-cycle in real-time via two different possible strategies, a model-based hybrid PI-PWM approach and a so-called Zero-Average dynamics (ZAD) controller. The controllers are validated in-silico via both deterministic and stochastic simulations (SSA) illustrating the advantages and limitations of each strategy.

</dc:description>
<dc:description>This is a preprint of the conference paper published in "2019 18th European Control Conference (ECC)"</dc:description>
<dc:identifier>https://zenodo.org/record/4836153</dc:identifier>
<dc:identifier>10.23919/ECC.2019.8795642</dc:identifier>
<dc:identifier>oai:zenodo.org:4836153</dc:identifier>
<dc:relation>info:eu-repo/grantAgreement/EC/H2020/766840/</dc:relation>
<dc:relation>url:https://zenodo.org/communities/cosy-bio</dc:relation>
<dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
<dc:title>In-silico feedback control of a MIMO synthetic Toggle Switch via Pulse-Width Modulation</dc:title>
<dc:type>info:eu-repo/semantics/conferencePaper</dc:type>
<dc:type>publication-conferencepaper</dc:type>
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