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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{
"description": "<p>&nbsp;</p>\n\n<p><strong>Abstract</strong></p>\n\n<p>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.</p>\n\n<p>&nbsp;</p>\n\n<p>&nbsp;</p>\n\n<p>&nbsp;</p>\n\n<p>&nbsp;</p>",
"creator": [
{
"affiliation": "Department of Electrical Engineering and Information Technology, University of Naples Federico II, Naples, Italy",
"@type": "Person",
"name": "Guarino,\u00a0Agostino"
},
{
"affiliation": "Department of Electrical Engineering and Information Technology, University of Naples Federico II, Naples, Italy",
"@type": "Person",
"name": "Fiore,\u00a0Davide"
},
{
"affiliation": "Department of Engineering Mathematics, University of Bristol, Bristol, U.K.",
"@type": "Person",
"name": "di Bernardo, Mario"
}
],
"headline": "In-silico feedback control of a MIMO synthetic Toggle Switch via Pulse-Width Modulation",
"datePublished": "2019-08-15",
"url": "https://zenodo.org/record/4836153",
"@type": "ScholarlyArticle",
"@context": "https://schema.org/",
"identifier": "https://doi.org/10.23919/ECC.2019.8795642",
"@id": "https://doi.org/10.23919/ECC.2019.8795642",
"workFeatured": {
"location": "Naples, Italy",
"@type": "Event",
"name": "2019 18th European Control Conference (ECC)"
},
"name": "In-silico feedback control of a MIMO synthetic Toggle Switch via Pulse-Width Modulation"
}
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