Fernández Pérez, Christian (IIM-CSIC), FAQUIR, HAMZA (Spanish National Research Council), Pájaro, Manuel (CITIC-University of A Coruña), Otero-Muras, Irene (CSIC Spanish National Research Council)

Feedback Control of Stochastic Gene Switches Using PIDE Models

Scheduled for presentation during the Regular Session "Tribute to Antonio A. Alonso II" (TuS2M), Tuesday, July 26, 2022, 13:40−14:00, Lassonde M-2103

IFAC Workshop on Thermodynamic Foundations of Mathematical Systems Theory, July 24-27, 2022 , Montreal, Canada

This information is tentative and subject to change. Compiled on April 19, 2024

Abstract

Achieving control of gene regulatory circuits is one of the goals of synthetic biology, as a way to regulate cellular functions for useful purposes (in biomedical, environmental or industrial applications). The inherent stochastic nature of gene expression makes it challenging to control the behavior of gene regulatory networks, and increasing efforts are being devoted in the field to address different control problems. In this work, we combine the efficient modeling of stochastic gene regulatory networks by means of Partial Integro-Differential Equations with feedback control, in order to keep protein levels at the target (pre-defined) stationary probability distribution. In particular, we achieve the closed-loop stabilization of bi-modal toggle-switches in the stochastic regime around an unstable attractor.