Midwest Mathematical Biology Seminar (Virtual)

Speaker: Hyukpyo Hong (University of Wisconsin — Madison)

Title: Ubiquitous Asymptotic Robustness in Biochemical Systems

Abstract: Living systems maintain stable internal states despite environmental fluctuations. Absolute concentration robustness (ACR) is a striking homeostatic phenomenon in which the steady-state concentration of a species remains invariant despite changes in total supply. In this talk, we introduce a previously underappreciated phenomenon, namely asymptotic ACR (aACR): approximate robustness can emerge solely from the network structure, without requiring exact ACR motifs or negligible parameters. We find that aACR is more pervasive than classical ACR and prove that this ubiquity stems solely from network structure. This notion of aACR would provide a rigorous and practical tool to analyze robust responses in broad biochemical systems.