BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Takashi Okada (Kyoto University) DTSTART:20250313T160000Z DTEND:20250313T163000Z DTSTAMP:20260421T124525Z UID:MoRN/116 DESCRIPTION:Title: S tructural Bifurcation Analysis of Chemical Reaction Networks\nby Takas hi Okada (Kyoto University) as part of Seminar on the Mathematics of React ion Networks\n\n\nAbstract\nThis talk is part of a series on the structura l analysis of chemical reaction networks. In the first talk presented by P rof. Mochizuki\, we introduced special subnetworks known as buffering stru ctures (BSs)\, defined by specific topological conditions. A BS has the pr operty of confining the effect of a parameter perturbation on steady-state concentrations and fluxes within it. In this talk\, we present another ro le of BSs\, namely\, confinement of steady-state bifurcation behaviors. Sp ecifically\, when a bifurcation occurs\, there must be a particular subnet work that destabilizes the system. It can be shown that such a subnetwork must be either a BS or the complement of a BS. Furthermore\, depending on which part of the network destabilizes\, we can identify which parameters can trigger the bifurcation and which part of the network exhibits bifurca ting behavior. Our results are based on the network’s structural propert ies and suggest that certain biological functions may emerge as a direct c onsequence of network topology.\n LOCATION:https://researchseminars.org/talk/MoRN/116/ END:VEVENT END:VCALENDAR