2025/05/11 by Yusuke Himeoka, Shuhei A. Horiguchi, Himeoka, Yusuke +7
Biochemistry, Genetics and Molecular Biology · Computer Science · Engineering · #Biological Physics (physics.bio-ph) #Control and Stability of Dynamical Systems #FOS: Biological sciences #FOS: Physical sciences #Gene Regulatory Network Analysis #Nonlinear Dynamics and Pattern Formation #Subcellular Processes (q-bio.SC)
paper · pdf · doi:10.48550/arxiv.2505.06834
openalex publication_date 2025/05/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Controlling complex reaction networks is a fundamental challenge in the fields of physics, biology, and systems engineering. Here, we prove a general principle for catalytic reaction systems with kinetics where the reaction order and the stoichiometric coefficient match: the local stabilizability of a given state implies global controllability within its stoichiometric compatibility class. In other words, if a target state can be maintained against small perturbations, the system can be controlled from any initial condition to that state. This result highlights a tight link between the local and global dynamics of nonlinear chemical reaction systems, providing a mathematical criterion for global reachability that is often elusive in high-dimensional systems. The finding illuminate the robustness of biochemical systems and offers a way to control catalytic reaction systems in a generic framework.