Qualitative Control Strategies for Synchronization of Bistable Gene Regulatory Networks

• 成果类型: Article
• 署名作者: Augier, Nicolas; Chaves, Madalena; Gouze, Jean-Luc
• 署名单位: Sorbonne Universite; Inria; Universite Cote d'Azur; Centre National de la Recherche Scientifique (CNRS)
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2022.3145653
• 发表日期: 2023
• 页码: 673-688
• 关键词: Synchronization; Couplings; switches; control systems; stability analysis; Production; genetics; Biological systems; genetic regulatory systems; hybrid systems; Robust control

摘要

In this article, we investigate the emergent dynamics in a network of N coupled cells, each expressing a similar genetic bistable switch. The bistable switch is modeled as a piecewise affine system and the cells are diffusively coupled. We show that both the coupling topology and the strength of the diffusion parameter may introduce new steady-state patterns in the network. We study the synchronization properties of the coupled network and, using a control set of only three possible values (u(min), u(max), or 1), propose different control strategies which stabilize the system into a chosen synchronization pattern, both in the weak and strong coupling regimes. The results are illustrated by several numerical examples.