Vaghy, Mihaly András (Pazmany Peter Catholic University), Szederkenyi, Gabor (Computer and Automation Research Institute, Hungarian)

Lyapunov Stabiliy of Generalized Ribosome Flows

Scheduled for presentation during the Regular Session "Tribute to Antonio A. Alonso II" (TuS2M), Tuesday, July 26, 2022, 13:20−13:40, 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 23, 2024

Abstract

In this paper we show that a wide class of compartmental systems with bounded capacities called generalized ribosome flow models are stable with an entropy-like logarithmic Lyapunov function known from the theory of nonnegative systems and reaction networks. The stability proof uses the kinetic representation of the compartmental model and earlier approaches applied for the input-to-state stability analysis of reaction networks with time-varying reaction rates. The results are valid not only for mass action type systems but also for models with more general reaction rates. Illustrative examples are given to show the qualitative dynamical properties of simple generalized ribosome flow models.