Coupling and synchronization of piecewise linear genetic regulatory systems

Madalena Chaves (1) , Luca Scardovi (2) , Eleni Firippi (1)

1 BIOCORE - Biological control of artificial ecosystems
2 ECE - Department of Electrical and Computer Engineering [University of Toronto]

Biological regulatory networks are composed of smaller basic motifs. Some of the most frequent motifs are known as the positive and negative feedback loops, whose individual dynamics is well characterized. This work studies the coupling of two or more identical basic motifs, under diffusive coupling, and analyses their capacity for synchronization and other dynamical properties, such as the generation of new steady states. The feedback loops are described by piecewise linear differential equations, a formalism which allows for further mathematical analysis results.

Domaines: Automatique

Madalena Chaves, Luca Scardovi, Eleni Firippi. Coupling and synchronization of piecewise linear genetic regulatory systems. CDC 2019 - 58th IEEE Conference on Decision and Control, Dec 2019, Nice, France. ⟨hal-02386348⟩