On the optimal control of birhythmic oscillatory PWA systems: an application to the p53-Mdm2 network
Year: 2025
Type: conference-paper
Abstract: In this work, we tackle the problem of inducing optimal transfers between the two oscillatory regimes of a birhythmic genetic network, represented through a piecewise affine dynamical system. For that, we resort to an adaptation of Pontryagin’s Maximum Principle to the hybrid setting, with a cost function that combines the transfer time and an L1- control cost. We focus on a two-dimensional PWA model of the p53-Mdm2 network, a well-known tumor suppressor module that represents a key example of birhythmicity naturally found in mammalian cells. The resulting optimal control can be expressed in feedback form, and is able to remove an oscillatory mode of the system, allowing selection between low or high frequency oscillations of the bimodal genetic network.
Authors: Agustín G. Yabo, Nicolas Augier
Institutions: Institut Agro Montpellier, Institut National de Recherche pour l'Agriculture, l'Alimentation et l'Environnement, Mathématiques, Informatique et Statistique pour l'Environnement et l'Agronomie, Centre National de la Recherche Scientifique, Laboratoire d'Analyse et d'Architecture des Systèmes
Language: English
Subfield: Molecular Biology
Domain: Life Sciences
Open Access status: green
OpenAlex ID: W4415194233
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