BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Muhammad Ali Al-Radhawi (Northeastern University) DTSTART:20230223T163000Z DTEND:20230223T170000Z DTSTAMP:20260421T124552Z UID:MoRN/66 DESCRIPTION:Title: Gr aphical characterizations of robust stability in biological interaction ne tworks\nby Muhammad Ali Al-Radhawi (Northeastern University) as part o f Seminar on the Mathematics of Reaction Networks\n\n\nAbstract\nPrevious studies have inferred robust stability of reaction networks by utilizing l inear programs or iterative algorithms. Such algorithms become tedious or computationally infeasible for large networks. In addition\, they operate like black-boxes without offering intuition for the structures that are ne cessary to maintain stability. In this work\, we provide several graphical criteria for constructing robust stability certificates\, checking robust non-degeneracy\, verifying persistence\, and establishing global stabil ity. By characterizing a set of stability-preserving graph modifications t hat includes the enzymatic modification motif\, we show that the stability of arbitrarily large nonlinear networks can be examined by simple visual inspection. We show applications of this technique to ubiquitous motifs i n systems biology such as Post-Translational Modification (PTM) cycles\, the Ribosome Flow Model (RFM)\, T-cell kinetic proofreading and others.\n LOCATION:https://researchseminars.org/talk/MoRN/66/ END:VEVENT END:VCALENDAR